One June 1, 2017, Mike Co loaned an employee $11000 for 9 months. The employee signed a note. The annual interest rate on the note will be 5%. The employee will pay the principal in and interest when it comes due in 2018.
When the note comes due in 2018, the credit to interest revenue will be $_____
Answers
The credit to interest revenue on the loan when the note becomes due will be $412.5
What is an interest revenue?Interest revenue is the amount of money earned when money is learnt to others at an interest rate.
The amount Mike Co loaned the employee for 9 months = $11,000
The annual interest rate of the loan = 5%
The amount the employee will pay when the loan comes due in 2018 = The interest and the amount loaned
The interest on the loan can be calculated using the simple interest formula, which is;
Interest, I = Principal × Rate × Time
The principal on the loan = $11,000
The interest rate on the loan per annum = 5% = 0.05
The duration of the loan = 9 months = (9/12) = 3/4 of a year
Therefore; I = 11,000 × 0.05 × (3/4) = 412.5
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Related Questions
for adults in the town of bridgeport, systolic blood pressure is normally distributed with a mean of 137 mmhg and a standard deviation of 9 mmhg. what percentage of adults in the town have a systolic bloo pressure less than 110 mmhg
Answers
99.85% of adults in the city have a systolic blood pressure of less than 110 mmHg.
Using 68-95-99.7 rule, we know that
99.7% of values lie between the interval (mean - 3 × standard deviation, mean + 3 × standard deviation)
(100 - 99.7) = 0.3% values lie outside the interval (mean - 3 × standard deviation, mean + 3 × standard deviation).
Since the normal distribution is bell-curved and symmetrical,
we can say
0.3/2 = 0.15% values are less than the mean - 3 × standard deviation
and 0.3/2 = 0.15% values are greater than mean + 3 × standard deviation.
Here,
Mean + 3 × standard deviation.
= 110 + 3 × 10 = 140
So, 0.15% of values are greater than 140
So, (100 - 0.15) = 99.85% values are less than 140.
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The data shown relates the number of thousands of reported whooping cough cases and the number of years passed since the discovery of the whooping cough vaccine. Which function models this scenario?
The answer is A. y =26 - 5.4 ln x
Someone please enter a random response.
Answers
Answer:
A. y =26 - 5.4 ln x
Step-by-step explanation:
Answer:
A - y =26 - 5.4 ln x
Explanation:
Edg2020
Use the inequality t - 1/3_>25/15 to answer the following questions. A) Solve the inequality for t. B) Plot the solution on the number line. C) Enter the solution in interval notation.
Answers
We are given : t-1/3 ≥ 25/15
take note that 25/15 is the same as 5 /3 ,
(A) So we can rewrite the above inequality as follows:
t - 1/3≥ 5/3
→ t ≥ 5/3 + 1/3
t ≥ 6/3
∴ t ≥ 2
(B) see the number line below :
(c) interval notation : [ 2;∞)
Arc CD is \(\frac{2}{3}\) of the circumference of a circle. What is the radian measure of the central angle?
a.) \(\frac{2\pi}{3}\)
b.) \(\frac{3\pi}{4\)
c.) \(\frac{4\pi }{3}\)
d.) \(\frac{3\pi}{2}\)
Answers
Answer:
b
Step-by-step explanation:
Three subtracted from x is greater than -25.
Answers
if the question is asking what is X then the answer is
X - 3 >-25
X >-25+3
X >-22
Hidaya runs each lap in 8 minutes. She will run less than 72 minutes today. What are the possible numbers of laps she will run today? Use n for the number of laps she will run today. Write your answer as an inequality solved for n.
Answers
Answer:
Step-by-step explanation:
n*8<72
:8 :8
n<72/8
n<9
n could be 1,2,3,4,5,6,7,8
approximately what percentage of u.s. adults is overweight? select one: a. 24 percent b. 44 percent c. 64 percent d. 84 percent
Answers
According to the Centers for Disease Control and Prevention (CDC), about 73.6 percent of adults in the United States are overweight or obese. So, the correct answer is D).
This means that a majority of adults in the U.S. have a body mass index (BMI) above the healthy range, which is defined as a BMI of 18.5-24.9, which puts them at increased risk for a range of health issues, including heart disease, diabetes, and some types of cancer.
The prevalence of overweight and obesity has been increasing in the United States in recent decades, and it is a significant public health concern. Obesity is a complex issue with many causes, including genetics, environment, and lifestyle factors such as diet and physical activity levels. So, the correct answer is D).
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--The given question is incomplete, the complete question is given
" According to the Centers for Disease Control and Prevention (CDC), approximately what percentage of u.s. adults is overweight? select one: a. 24 percent b. 44 percent c. 64 percent d. 73.6 percent "--
a square pyramid is constructed so that the height has length x 2 and the sides of the base have length x . write an expression for the volume of the pyramid in terms of x .
Answers
The volume of the square pyramid in terms of x is (1/3) * x^4.
The volume V of a square pyramid can be calculated using the formula:
V = (1/3) * Base Area * Height
In this case, the base of the pyramid is a square with side length x, so the base area is given by:
Base Area = x^2
The height of the pyramid is given as x^2, so substituting these values into the volume formula, we have:
V = (1/3) * x^2 * x^2
Simplifying, we get:
V = (1/3) * x^4
Therefore, the volume of the square pyramid in terms of x is (1/3) * x^4.
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EASY POINTS
Thomas has some leftover paint that he would like to sell. He mixes
4 3/8
gallons of blue paint with 6 5/8
gallons of white paint. Then, he pours this light-blue mixture into
1/4
gallon containers. To find out how many of these
1/4
gallon containers he can fill, which two equations would you need?
Answers
Answer:
4 3/8+6 5/8=x and x÷1/4=number of gallons
Answer:
4 3/8+6 5/8=x and x÷1/4=number of gallons
Step-by-step explanation:
Rewrite 16 in exponent form using 2 as the base.
Answers
Answer:
16=24
Step-by-step explanation:
The first step to write any number in exponential form is to do the prime factorization of the given number. As we can see that 2 is multiplied 4 times so by using exponent we can write 16 as 24
whats the error? I SOLVED AND CHECKED. Is it correct? Im confused… pls help il will give brainliest
Answers
Answer:
32 in represents perimeter u added length times width once which would only give half of the rectangle
Step-by-step explanation:
2(3w+8+w) =32
6w+16+2w =32
8w+16 = 32
8w=16
w=2
Find x. Round your answer to the nearest hundredth.
25
x
20
Answers
25 * 20 is 244. to the nearest hundredth would be 240, because the two is ones, the first four is tens and the second four is hundreds
.244 in decimal points it's tenths hundreds and thousands
Twenty-two more than three times a number is equal to the difference between 6464 and three times the number. Find the number.
Answers
Answer:
7
Step-by-step explanation:
a number: x
3 times a number: 3x
twenty-two more than 3 times a number: 3x + 22
difference between 64 and 3 times the number: 64 - 3x
3x + 22 = 64 - 3x
6x = 42
x = 7
Answer: 7
13. At an amusement park, guests have to take either a train or a boat 4 miles from the parking lot to the front entrance and then back when they leave the park. The train goes 10 mph faster than the boat. Abdul takes the train into the park and the boat on his way back. The boat goes an average speed of 20 mph. How long did the round trip take?
Help please :>
Answers
Abdul's round trip took approximately 0.3333 hours or about 20 minutes.
What are the speed, distance, and time relation?
The speed is the time rate of change of the distance. If 'D' is the distance of an object in some time 'T', the speed is equal to, s = D/T. It has the same units as velocity.
Let's start by finding the speed of the train. Let's call the speed of the boat "b" (which we know is 20 mph) and the speed of the train "t". We know that the train goes 10 mph faster than the boat, so:
t = b + 10
t = 20 + 10
t = 30 mph
Now that we know the speed of the train, we can use the formula:
time = distance/speed
Abdul travels a total distance of 8 miles (4 miles to the park entrance and 4 miles back to the parking lot). Let's find the time it takes him to take the train into the park:
time_train = distance_train / speed_train
time_train = 4 / 30
time_train = 0.1333 hours (rounded to 4 decimal places)
Now let's find the time it takes him to take the boat back:
time_boat = distance_boat / speed_boat
time_boat = 4 / 20
time_boat = 0.2 hours
The total round trip time is the sum of the time it takes him to take the train into the park and the time it takes him to take the boat back:
total_time = time_train + time_boat
total_time = 0.1333 + 0.2
total_time = 0.3333 hours (rounded to 4 decimal places)
Hence, Abdul's round trip took approximately 0.3333 hours or about 20 minutes.
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Which represents where f(x) = g(x)? A) f(4) = g(4) and f(0) = g(0) B) f(–4) = g(–4) and f(0) = g(0) C) f(–4) = g(–2) and f(4) = g(4) D) f(0) = g(–4) and f(4) = g(–2)
Answers
Answer:
B. f(-4) = g(-4), and f(0) = g(0)
Step-by-step explanation:
We are given two functions that have been graphed already. The points on the coordinate plane where the curve of g(x) intercepts that of f(x), are the values of x for each function, that would give us the same output (y).
Thus, for f(x) intercepts g(x) at the point where x = -4, y = 4.
Also, f(x) and g(x) intercepts at the point where x = 0, y = 4.
Therefore, the correct answer is f(-4) = g(-4), and f(0) = g(0)
What are the solutions of the equation (x 2)2 12(x 2) – 14 = 0? use u substitution and the quadratic formula to solve.
Answers
The solutions of the given equation is x = -8 + 5√2 and x = -8 - 5√2.
The quadratic formula is used to find the roots of a quadratic equation. This formula helps to evaluate the solution of quadratic equations replacing the factorization method. If a quadratic equation does not contain real roots, then the quadratic formula helps to find the imaginary roots of that equation. The quadratic formula is also known as Shreedhara Acharya’s formula
(x + 2)² + 12(x + 2) – 14 = 0
Replacing x + 2 with u we get,
u² + 12u - 14
using quadratic formula we get
u = (-12 ±√(12² - 4x1 x-14))/2
u =(-12 ±√200)/2
u = -6 ± 5√2
x +2 = u = -6 ± 5√2
x = u = -8 ± 5√2.
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Ryan is buying a triangular tract of land. The triangle has a base of 100 yards and a height of 300 yards. What is the area of the tract of land? *
30,000 sq. yd
3,000 sq. yd
1,500 sq. yd
15,000 sq. yd
Answers
Answer:
It is D
Step-by-step explanation:
The volume of a solid generated by revolving a region between the y axis and the curve x=R(y),c≤ y≤d about the x axis, is given by (a) ∫cdπ[R(y)]2dy (b) ∫cd2π[R(y)]2dy (c) ∫cdπ[R(y)]dy (d) ∫cd2π[R(y)]2dy (iv) The volume of the solid generated by revolving the region bounded by x=y,x=−y and y=2 about the x axis is (a) 1516π(32+5) (b) 340π (c) 38π (d) 6π
Answers
The correct option for the volume of the solid generated by revolving a region between the y-axis and the curve x=R(y), c≤ y≤d about the x-axis is:
(a) ∫cdπ[R(y)]²dy
∫cd represents the integral from the lower limit c to the upper limit d. This means we are integrating with respect to y, moving along the y-axis.
π[R(y)]² represents the cross-sectional area of each infinitesimally thin disk or slice that we obtain when revolving the region bounded by the curve x=R(y) around the x-axis. Here, R(y) represents the x-coordinate as a function of y, giving us the radius of each disk.
dy represents the infinitesimally small change in y as we integrate.
Therefore, by integrating ∫cdπ[R(y)]²dy, we are summing up the infinitesimally small disk volumes along the y-axis, which gives us the total volume of the solid generated by revolving the region.
Regarding the second question about the volume of the solid generated by revolving the region bounded by x=y, x=−y, and y=2 about the x-axis, the correct option is:
(a) 1516π(32+5)
This means that when we revolve the region bounded by x=y, x=−y, and y=2 around the x-axis, the volume of the resulting solid can be calculated using the formula given in option (a). Evaluating the expression in option (a), we obtain the volume of the solid as 1516π(32+5).
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fastt
13. Calculate the compound interest of an annuity due of BD400 paid each 4 months for 6.2 years if the nominal rate is 3% thirdly? (3 Points)
Answers
Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.
Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)
whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as
:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1
(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,
the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:
A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17
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C'mon any washingtonians???
Answer the questions based on the interview of Warren Michio Tsuneishi.
The most difficult thing for Tsuneishi about living in the internment camp was the
_________
Moving to internment camps for many Asian American families meant
_________
The spirit of the internment camp compared to the German concentration camp at Dachau was different, but the camp was similar in
_________
Answers
Answer:
1. Loss of freedom
2. Economic loss
3. Layout
Step-by-step explanation:
Answers are numbered for each one
Answer:
1. Loss of freedom
2. Economic loss
3. Layout
Step-by-step explanation:
I just took the quiz
Find the value of x. Assume that lines which appear to be tangent to the circle are tangent.
A) 5
B) 7
C) 9
D) 11
Answers
Answer:
C) 9
Step-by-step explanation:
Since tangents drawn from external point to a circle are e QQ ual in length.
therefore ,
5x - 6 = 3x + 12
5x - 3x = 12 + 6
2x = 18
x = 18/2
x = 9
The value of [x] will be x = 9.
What is a circle? What is triangle?
A circle is a locus of a point whose distance always remains constant from a given specific point. The general equation is -
x² + y² = r² (for circle centered at origin)
The physical properties of a circle are -
Area : π × (radius)²Circumference : 2π x radiusDiameter : 2 x radiusPerimeter : 2πRSymmetry group : O(2)A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
We have a image as shown in the figure.
If from one external point, two tangents are drawn to a circle then they have equal lengths. So, we can write -
5x - 6 = 3x + 12
5x - 3x = 12 + 6
2x = 18
x = 9
Therefore, the value of [x] will be x = 9.
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5. A cruise ship travels at a constant speed of 17.25 miles per hour for
hours. What distance did the cruise ship travel?
Answers
helpp pleaaaaaaaaaseee
Answers
The linear equations would be
4x + 5y = 62 (the equation representing the total cost of Kent)
6x + 2y = 60 (the equation representing the total cost of Rew)
and the solution would be x = 8, y = 6.
What is a system of linear equations?
A system of linear equations is a set of two or more linear equations that describe a relationship between multiple variables. The variables in each equation are related to each other, and the solution of a system of linear equations is the set of values that satisfy all of the equations in the system.
In this case, since Kent and Rew each bought the same amount of boondins and hopts, we can use the same variable names (x for boondins and y for hopts) for both of them. We can use this information to write two equations to model the relationship between the amounts of boondins and hopts that Kent and Rew bought:
4x + 5y = 62 (the equation representing the total cost of Kent)
6x + 2y = 60 (the equation representing the total cost of Rew)
This system of linear equations is called a system of two equations in two variables.
Hence, the linear equations would be
4x + 5y = 62 (the equation representing the total cost of Kent)
6x + 2y = 60 (the equation representing the total cost of Rew)
and the solution would be x = 8, y = 6.
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A cheese maker changes the temperature of his milk at a rate of -3°F per minute. What is the change
in the temperature of the milk after 15 minutes?
Answers
Answer: -45°
Step-by-step explanation: This is because if it changes -3°F every minute and there are 15 minutes, just do 15*-3. In this case, is -45°
PLEASE HELP!!! :(
Consider the following figure
What is BD?
Answers
Answer:
BD = 16
Step-by-step explanation:
32/BD = BD/8
BD² = 256
BD = 16
The density of a certain material is such that it weighs 7 pounds for every 5.5 cups of volume. Express this density in kilograms per pint. Round your answer to the nearest hundredth.
Answers
Answer:
\(Density = 1.1546\ kg/pint\)
Step-by-step explanation:
Given
\(Mass = 7\ lb\)
\(Cups = 5.5\)
Required
Determine the density in Kg/Pint
Density is calculated as thus:
\(Density = \frac{Mass}{Volume}\)
\(Density = \frac{7\ lb}{5.5\ cups}\)
Convert pound to kg
\(Density = \frac{7/ 2.205\ kg}{5.5\ cups}\)
\(Density = \frac{3.17515\ kg}{5.5\ cups}\)
Convert cups to pint
\(Density = \frac{3.17515\ kg}{5.5/2\ pint}\)
\(Density = \frac{3.17515\ kg}{2.75\ pint}\)
\(Density = 1.1546\ kg/pint\)
cards and 20% with debit cards. The transaction fees charged by the credit and debit card issuers are as follows: Credit cards: $0.50 per transaction +2% of the amount charged Debit cards: $0.30 per transaction +1% of the amount charged Read the Requirement 1. How much of the total sales revenue is expected to be paid in cash? The total sales revenue expected to be paid in cash is Requirement 2. How many customer transactions does the company expect in January? In January, the number of transactions the company expects is Requirement 3 . How much of the total sales revenue is expected to be paid with credit cards? The total sales revenue expected to be paid with credit cards is Requirement 4. How many customer transactions will be paid for by customers using credit cards? The number of customer transactions paid for using credit cards is Requirement 5. When budgeting for January's operating expenses, how much should the restaurant expect to incur in credit card transaction fees? In January, the restaurant should expect to incur transaction fees of Requirement 6 . How much of the total sales revenue is expected to be paid with debit cards? The total sales revenue expected to be paid with debit cards is Requirement 7. How many customer transactions will be paid for by customers using debit cards? The number of customer transactions paid for by customers using debit cards is Requirement 8 . When budgeting for January's operating expenses, how much should the restaurant expect to incur in debit card transaction fees? In January, the restaurant should expect to incur debit card transaction fees of the funds on the same day the transactions occur at the restaurant (there is no processing delay). The amount that will be deposited in the restaurant's bank account during the month of January related to credit and debit card sales is Requirement 10. What is the total amount of money that the restaurant expects to deposit in its bank account during the month of January from cash, credit card, and debit card sales? Again assume the credit and debit card issuers deposit the funds on the same day that the transaction occurs. The amount that will be deposited in the restaurant's bank account during the month of January from cash, credit card, and and debit card sales is
Answers
The total amount expected to be deposited in the restaurant's bank account during the month of January from cash, credit card, and debit card sales is equal to the total sales revenue, which is $X.
Cash sales: 40%
Credit card sales: 40%
Debit card sales: 20%
Requirement 1: How much of the total sales revenue is expected to be paid in cash?
Assuming the total sales revenue for January is $X, the amount expected to be paid in cash is 40% of X.
Cash sales = 0.4 × X
Requirement 2: How many customer transactions does the company expect in January?
The number of customer transactions can vary, and the information provided doesn't specify a particular value. You would need to have additional data or assumptions to determine the number of transactions.
Requirement 3: How much of the total sales revenue is expected to be paid with credit cards?
Assuming the total sales revenue for January is $X, the amount expected to be paid with credit cards is 40% of X.
Credit card sales = 0.4 × X
Requirement 4: How many customer transactions will be paid for by customers using credit cards?
Similar to Requirement 2, the number of customer transactions paid for by credit cards would require additional data or assumptions to determine.
Requirement 5: When budgeting for January's operating expenses, how much should the restaurant expect to incur in credit card transaction fees?
To calculate the credit card transaction fees, we need to consider two components: a fixed fee per transaction and a percentage fee based on the amount charged.
Assuming the number of credit card transactions is Y, and the average amount charged per transaction is Z, the credit card transaction fees can be calculated as:
Credit card transaction fees = (0.50 × Y) + (0.02 × Z × Y)
Requirement 6: How much of the total sales revenue is expected to be paid with debit cards?
Assuming the total sales revenue for January is $X, the amount expected to be paid with debit cards is 20% of X.
Debit card sales = 0.2 × X
Requirement 7: How many customer transactions will be paid for by customers using debit cards?
Similar to Requirement 2 and Requirement 4, the number of customer transactions paid for by debit cards would require additional data or assumptions to determine.
Requirement 8: When budgeting for January's operating expenses, how much should the restaurant expect to incur in debit card transaction fees?
Similar to Requirement 5, the debit card transaction fees can be calculated using the same formula but with different values for the fixed fee per transaction and the percentage fee based on the amount charged.
Requirement 10: What is the total amount of money that the restaurant expects to deposit in its bank account during the month of January from cash, credit card, and debit card sales?
Assuming the total sales revenue for January is $X, the total amount expected to be deposited in the bank account is the sum of cash sales, credit card sales, and debit card sales.
Total deposits = Cash sales + Credit card sales + Debit card sales
= 0.4 × X + 0.4 × X + 0.2 × X
= X
Therefore, the total amount expected to be deposited in the restaurant's bank account during the month of January from cash, credit card, and debit card sales is equal to the total sales revenue, which is $X.
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Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job. Casey correctly wrote and solved a system of linear equations by substitution. In his work, he substituted an expression for one variable and solved for the other. This resulted in the equation 5
Answers
One landscaper's hourly rate is $15 lower than the other landscaper's. Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job.
What is system of linear equations?
A set of two linear equations with two variables is a system of linear equations. Casey is deciding between hiring one of two landscapers. Each landscaper bills a fee for each job in addition to an hourly rate. A set of linear equations was appropriately written and solved by Casey using substitution. He solved for the other variable and substituted an expression for one in his work. The intersection of the lines that represent the linear equations is where a system of linear equations finds its solution. Each landscaper bills a fee for each job in addition to an hourly cost. Casey produced a system of linear equations that was correctly written and solved. The hourly rates for both landscapers are the same, however their rates for individual jobs vary.
Casey is deciding between hiring one of two landscapers. Each landscaper bills a fee for each job in addition to an hourly cost. By using substitution, Casey created and properly figured out a set of linear equations. He solved for the other variable and replaced an expression for one in his work, producing the equation 5 = 20.
equation 5=20
20-5 = 15
Therefore, One landscaper's hourly rate is $15 lower than the other landscaper's.
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AC is a diameter of OE, the area of the
circle is 289 units2, and AB = 16 units.
Find BC and mBC.
B
A
C
E. plssss hurry !!
Answers
The measure of arc BC is 720 times the measure of angle BAC.
Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).
To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:
AB * BC = AC * CE
16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)
Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:
Area = π * r^2
289 = π * r^2
r^2 = 289 / π
r = √(289 / π)
Now, we can substitute the known values into the equation for the product of the segments:
16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8
To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.
mBC = 0.5 * m(arc BC)
To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:
arc BC = (mBC / 0.5) * 360
arc BC = 720 * mBC
Therefore, the length of the arc BC equals 720 times the length of the angle BAC.
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Please help me step by step how to solve this quadratic equation 2a^2=-6+8a
Answers
The quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.
To solve the quadratic equation 2a^2 = -6 + 8a, we need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are coefficients.
Step 1: Move all the terms to one side of the equation to set it equal to zero:
2a^2 - 8a + 6 = 0
Step 2: The equation is now in standard quadratic form, so we can apply the quadratic formula to find the solutions for 'a':
a = (-b ± √(b^2 - 4ac))/(2a)
Comparing with our equation, we have:
a = (-(-8) ± √((-8)^2 - 4(2)(6)))/(2(2))
Simplifying further:
a = (8 ± √(64 - 48))/(4)
a = (8 ± √16)/(4)
a = (8 ± 4)/(4)
Now, we can calculate the two possible solutions:
a1 = (8 + 4)/(4) = 12/4 = 3
a2 = (8 - 4)/(4) = 4/4 = 1
Therefore, the quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.
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