Find the interest on the loan, $35,000 at 6% for 9 months. A. $1,910 C. $1,575 B. $1,395 D. $1,465
Answers
The interest on the loan of $35,000 at a 6% interest rate for 9 months is $1,575.
To calculate the interest on a loan, you can use the formula:
Simple Interest = Principal x Rate x Time.
In this case, the principal is $35,000, the interest rate is 6%, and the time is 9 months.
First, convert the interest rate to a decimal by dividing it by 100: 6% = 0.06. Next, calculate the interest by multiplying the principal, rate, and time: Interest = $35,000 x 0.06 x 9/12.
Simplifying the calculation, we get: Interest = $35,000 x 0.06 x 0.75 = $1,575.
Therefore, the correct answer is option B: $1,575.
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Related Questions
The number of miles driven by Zoe is directly proportional to the number of gallons
she used.
Number of Gallons Used
9
28
40
Number of Miles Driven
348.3
1083.6
1548
How many miles would she drive on 47 gallons?
Answers
Answer:
1818.9 mi
Step-by-step explanation:
If the num of miles is directly proportional, then we can find out that she drives 348.3/9 = 38.7 mi/gal (this also works for the other two pairs)
To find the distance with 47 gallons, you multiply 38.7 by 47, to get 1818.9 mi.
if 1,000 points are selected randomly inside the square with all points equally likely to be selected, how many of those points are expected to lie in
Answers
If 1,000 points are selected randomly inside the square with all points equally likely to be selected, points to lie inside the circle is 785.4 points.
We can find the answer by finding the ratio of the areas of the regions and then multiplying by the total number of points.
The square has an area of 1 (since it has sides of length 1).
The circle has a radius of 1/2 and an area of pi/4.
So the ratio of the areas is:
(π/4) / 1 = π/4
Therefore, we would expect:
(π/4) * 1000 = ( 3.14 / 4 ) 1000
(π/4) * 1000 = 1000 × ( 0.785 ) = 785 points
points to lie inside the circle. This is approximately 785 points.
Your question is incomplete but mos probably your full question was
If 1,000 points are selected randomly inside the square with all points equally likely to be selected, how many of those points are expected to lie inside the circle?
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Solve.
23x+56=313
Enter your answer as a mixed number in simplest form in the box.
Answers
Answer:
x = 11 \(\frac{4}{23}\)
Step-by-step explanation:
23x + 56 = 313
23x = 257
x = 11 \(\frac{4}{23}\)
Answer:
11 4/23
Step-by-step explanation:
\(23x+56=313\\\\23x +56 -56 = 313-56\\\\23x = 257\\\\23x \div 23 = 257 \div 23\\\\x = \dfrac{257}{23} = 11 \dfrac{4}{23}\)
what is steps per mile?
Answers
Steps per mile is a measure of how many steps a person takes to walk one mile, Which is 2000 steps.
It takes over 2,000 steps to walk one mile and 10,000 steps would be almost 5 miles, as the average person has a stride length of approximately 2.1 to 2.5 feet.
The number of steps required to walk a mile can vary from person to person depending on their height, weight and stride length. And Generally, taller people with longer strides take fewer steps per mile, while shorter people with shorter strides take more steps per mile.
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Which of the following is the graph of the quadratic function y - x2 +4x-12?Bot-24V2020-2020-20-20AB.C.D.O A. Graph AB. Graph COC. Graph BD. Graph D
Answers
option A
Explanation:To detrmine the correct graph, let's find the factors of the function given:
\(\begin{gathered} y=x^2\text{ + 4x - 12} \\ \text{The factors of -12 whose sum gives +4 are +6 and - 2} \end{gathered}\)\(\begin{gathered} y=x^2\text{ + 6x - 2x - 12} \\ y\text{ = x(x + 6) -2(x + 6)} \\ y\text{ = (x - 2) (x + 6)} \end{gathered}\)To get the factors equate the function to zero, that is y = 0
\(\begin{gathered} 0\text{ = (x -2)(x+6)} \\ x-2\text{ = 0 or x + 6 = 0} \\ x\text{ = 2 or x = -6} \end{gathered}\)The graph with two x intercepts as 2 and -6 will be the correct quadratic function
Each unit on the graph is 4 units
From the options, option A has x intercepts as 2 and -6
solve 9 a pleaseeeeee
Answers
answer ⬆️
i hope this helps!! :)
Hello! Can you check these for me please :)
Answers
Triangles ADT and EDT are congruent by SSS rule and triangles BLG and PFX are congruent by SAS rule.
In triangle ADT and EDT, we get that:
AD = DE (given)
AT = ET (given)
DT = DT (common)
So, ΔADT ≅ Δ EDT (SSS congruency rule)
In triangle BLG and PFX, we get that:
BL = PF (given)
BG = PX (given)
∠ B = ∠ P (given)
So, ΔBLG ≅ Δ PFX (SAS congruency rule)
Therefore, we get that, triangles ADT and EDT are congruent by SSS rule and triangles BLG and PFX are congruent by SAS rule.
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two ferries simultaneously depart from opposite banks of a river and cross perpendicular to the banks. their speeds are constant, but not equal. the ferries meet 220 yards from the riverbank, and continue along their routes. on their return trips, the ferries meet 100 yards from the other bank. what is the width of the river?
Answers
The width of the river is 1700m
What is the time, distance & speed relation?
Speed is calculated by dividing the distance traveled by the amount of time it took to get there. Divide the distance by the speed to find the passing time. To get the distance, multiply the speed by time.
Let 'x' be the distance from THE far bank where 700 is the distance to the NEAR bank
boat one has travelled 700 (rate = 700/unit time) boat two has travelled x rate = x / unit time
boat one then travels x + 400 more and boat two travels 700 + (700+x -400) more when they meet
The time is the same:
rate x time = distance
distance/rate = time
equate the distances divided by the respective rates
(700 + x + 400)/700 = ( x + 700 + (700+x-400) )/x
1100x + x^2 = 1400x + 700000
x^2 - 300x - 700000 = 0
quadratic formula yields x = 1000
One boat travels 700 the other 1000 when they first meet.....width of the river = 700+ 1000 = 1700 m
Hence, the width of the river is 1700m
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questions are in the images below :)
Answers
a. The balances in the accounts after 5 and 20 years is $12,164.77.
b. The percentage of the balance that is interest is 70%.
c. We need to deposit $17,426.93 today to have $25,000 in 8 years in an account with annual compounding and an APR of 5%.
What is Principal?Principal refers to initial amount of money invested or borrowed. It is starting point for calculating interest or return on investment, or amount owed on loan.
96)
a) To compute the balances in the accounts after 5 and 20 years, we can use the formula for compound interest:
\(A = P(1 + \frac{r}{n})^{nt}\)
where A is the ending balance, P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.
For Paula's account:
After 5 years:
A = 4000(1 + 0.048/365\()^{(3655)\) = $5,478.71
After 20 years:
A = 4000(1 + 0.048/365\()^{(36520)\) = $9,847.15
For Petra's account:
After 5 years:
A = 3600(1 + 0.056/365\()^{(3655)\) = $5,029.80
After 20 years:
A = 3600(1 + 0.056/365\()^{(36520)\) = $12,164.77
b) To determine the percentage of the balance that is interest, we can subtract the principal from the ending balance, and then divide by the ending balance:
For Paula's account:
After 5 years:
Interest = $5,478.71 - $4,000 = $1,478.71
Percentage of balance that is interest = (Interest / $5,478.71) * 100% = 27%
After 20 years:
Interest = $9,847.15 - $4,000 = $5,847.15
Percentage of balance that is interest = (Interest / $9,847.15) * 100% = 59%
For Petra's account:
After 5 years:
Interest = $5,029.80 - $3,600 = $1,429.80
Percentage of balance that is interest = (Interest / $5,029.80) * 100% = 28%
After 20 years:
Interest = $12,164.77 - $3,600 = $8,564.77
Percentage of balance that is interest = (Interest / $12,164.77) * 100% = 70%
c) The effect of interest rates and patience can be observed in the significant differences between the ending balances and percentage of interest earned by Paula and Petra. Petra's account had a higher interest rate, resulting in a larger ending balance and a higher percentage of interest earned. Additionally, the longer the investment period, the more the interest compounds and the greater the ending balance becomes. Therefore, patience is key in allowing the investment to grow over time.
81) An account with annual compounding and an APR of 5%
P = 25,000 / (1 + 0.05/\(1)^{(1\cdot 8)\) = $17,426.93
Therefore, we need to deposit $17,426.93 today to have $25,000 in 8 years in an account with annual compounding and an APR of 5%.
82) An account with quarterly compounding and an APR of 4.5%
P = 25,000 / (1 + 0.045/4\()^{(4 \cdot 8)\) = $17,721.15
Therefore, we need to deposit $17,721.15 today to have $25,000 in 8 years in an account with quarterly compounding and an APR of 4.5%.
87) An APR of 2.8%, compounded quarterly
First, we need to convert the annual interest rate to a quarterly interest rate by dividing it by 4:
r = 0.028/4 = 0.007
Then, we can use the formula:
P = 120,000 / (1 + 0.007\()^{(4\cdot 15)\) = $70,055.47
Therefore, we need to deposit $70,055.47 today in an account with an APR of 2.8%, compounded quarterly, to have a $120,000 college fund in 15 years.
89) We can use the formula for compound interest to calculate the balance in the accounts after 10 and 30 years:
Balance for Chang: B = \(P(1 + r)^t\)
where P = 500, r = 0.035, and t = 10 or 30 years.
Balance for Kio: B = \(P(1 + r)^t\)
where P = 500, r = 0.0375, and t = 10 or 30 years.
After 10 years:
Chang's balance: B = \(500 (1 + 0.035)^{10\) = $743.22
Kio's balance: B = 500*(1 + 0.0375)^10 = $779.58
After 30 years:
Chang's balance: B = \(500 (1 + 0.035)^{30\) = $1,373.63
Kio's balance: B = \(500(1 + 0.0375)^{30\) = $1,441.39
As we can see, even though the difference in interest rates is small (0.035 vs 0.0375), it can have a significant impact on the final balance of the account over a long period of time. In this case, after 30 years, Kio's account balance is almost $70 higher than Chang's account balance, even though they both invested the same amount of money.
91) The formula for calculating the annual percentage yield (APY) is:
APY = \((1 + r/n)^n - 1\)
where r is the annual interest rate (in decimal form) and n is the number of compounding periods per year.
For quarterly compounding:
n = 4
APY = (1 + 0.066/4)⁴ - 1 = 0.0677 or 6.77%
For monthly compounding:
n = 12
APY = (1 + 0.066/12)¹² - 1 = 0.0681 or 6.81%
For daily compounding:
n = 365
APY = (1 + 0.066/365\()^{365\) - 1 = 0.0682 or 6.82%
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How many acute angles are in the shape
Answers
Answer:
acute angle is less than 90, so we have 4 acute angles between the inner lines. Also we have 3 more acute angles combining the above angles. So the total will be 7 acute angles.Nov 9, 2016
given the hyperbolic spiral r=1/theta at t=pi, find the slope of
the curve
A. -pi
B. pi
C. 2pi
D. -2pi
Answers
The slope of the curve at a particular point on the hyperbolic spiral, we need to take the derivative of the equation with respect to θ and evaluate it at the given value of θ. Slope of the curve found to be = 2pi. The correct answer is option C
The equation of the hyperbolic spiral is given by: r = 1/θ To express this equation in terms of x and y, we use the polar-to-rectangular coordinate transformation: x = r cos(θ) y = r sin(θ)
Substituting the equation for r, we get: x = (cos(θ))/θ y = (sin(θ))/θ Taking the derivative of y with respect to x using the chain rule, we get:
\((dy/dx) = (dy/dθ)/(dx/dθ) (dy/dx) = [(cos(θ)/θ^2) + (sin(θ)/θ)] / [(-sin(θ)/θ^2) + (cos(θ)/θ)] At t = π, θ = π/2.\)
Therefore, the slope of the hyperbolic spiral at t = π is: (dy/dx) = 2/π The correct option to this value is C. 2pi
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One week a business sold 40 shirts. White ones cost $4.95, and the printed ones cost 7.95. In al $282 worth of shirts were sold. How many of each were sold?
Answers
Answer:
12 white 28 printed
Step-by-step explanation:
x = white y = printed
x + y = 40————(1)
4.95x + 7.95y = 282————(2)
Solve for x using 1st equation
x = 40 - y Plug in for x using 2nd equation
4.95(40 - y) + 7.95y = 282 Solve for y
198 - 4.95y + 7.95y = 282
3y = 84
y = 28 Plug in for y using 1st equation
x + (28) = 40 Solve for x
x = 12
I hope this helped and please mark me as brainliest!
Answer:
12 white shirts and 28 printed shirts
Step-by-step explanation:
1. 4.95x + 7.95y = 282
x + y = 40
2. Guess and Check
12 + 28 = 40
4.95 (12) + 7.95 (28) = 59.4 + 222.6
59.4 + 222.6 = 280
3. Answer: 12 white shirts and 28 printed shirts
You can do elimination or substitution, but in this case, I feel like it would've been too complicated.
The formula for the volume of a cube is V = s³, where s represents the side length of the cube. If a cube has a side length of 4 ½ centimeters, what is the volume of the cube? Write your answer as a fraction and a decimal
Answers
Answer:
91.125 or 729/8
Step-by-step explanation:
take 4.5^3 to get 91.125
Answer:
7
Step-by-step explanation:
write 10 rational numbers between -1/3 and 1/3
Answers
Step-by-step explanation:
-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4
MULTIPLE CHOICE QUESTION
Is this my final answer?
No, we need to subtract that from the total
No, we need to add that to the total
Yes, the question was asking how much sales tax
we paid
Rewatch
Submit
Answers
Answer:
i don't understand the question sorry
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
f(x) = g(x-9)
Step-by-step explanation:
Answer:
f(x) = g(x-9)
The expression (x^3)(x^−17) is equivalent to xn. What is the value of n?
Answers
Answer:
-14Step-by-step explanation:
(x^3)(x^−17) =x^(3 - 17) =x^-14n = -14n = -14
(x^3)(x^−17) =
x^(3 - 17) =
x^-14
The dot plot shows 20 students' scores on a quiz
in English class.
Quiz Scores
If one student from the class is chosen at
random, what is the probability that he or she
scored MORE than 15 points on the quiz?
Answers
Answer:
Probability = A. 2 / 5
Step-by-step explanation:
Probability = ( Number of Favorable Outcomes ) / (Total Number of Outcomes )
So the Total Number of Students = 20
Number of Students ( Dots ) scored more than 15 = 3+2+1+2 = 8
Probability = 8 / 20 = 2 / 5
Glad to Help
Answer: 12/20= 3/5
Step-by-step explanation:
you have to count all the dots on the dot plot to find your denominator which is 20.
then you count all the dots that are fifteen or more and there are 12 so 12/20 is the probability which is simplified into 3/5.
Determine how many significant figures are in the following measurement: 0.0301 meters.
Answers
The number of significant figures in the measurement 0.0301 meters is given as follows:
Three.
How to obtain the number of significant digits?The rules for significant digits are given as follows:
Non-zero digits are always significant.Any zeros between two significant digits are significant.A final zero or trailing zeros in the decimal portion are significant.The number for this problem is given as follows:
0.0301.
Hence the first two digits are not significant, as the zeros are not between significant digits, while the final three digits are significant.
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someone please help
Answers
Answer:
A.) slope is 0, y=2
Step-by-step explanation:
slope = 0 cause its flat
y =2 by the graph
Is the correlation between the heights of husbands and wives in the U.S. around -0.9, -0.3, 0.3, or 0.9? Explain briefly.
Answers
The correct correlation between the heights of husbands and wives in the U.S. is around -0.3. The correlation between the heights of husbands and wives in the U.S. is not as strong as some might assume. It is about -0.3.
This is not a strong negative correlation, but it is still a negative one, indicating that as the height of one partner increases, the height of the other partner decreases. This relationship may be seen in married partners of all ages. It's important to note that the correlation may not be consistent among various populations, and it may vary in different places. The correlation between husbands and wives' heights is -0.3, which is a weak negative correlation.
It indicates that as the height of one partner increases, the height of the other partner decreases. When there is a weak negative correlation, the two variables are inversely related. That is, when one variable increases, the other variable decreases, albeit only slightly. The correlation is not consistent across all populations, and it may differ depending on where you are. Nonetheless, when compared to other correlations, such as a correlation of -0.9 or 0.9, the correlation between husbands and wives' heights is a weak negative one.
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Solve for g. If you can please add an explanation
Answers
Answer:
g=7
Step-by-step explanation:
your goal is to isolate the g
times g/-4 by -4/1 the -4 cancels out the other one so you are just left with g
move the g to the other side of the equation then move the 3 and it to the -5 and then multiply the whole thing but -1 to make the equation positive
what is f(-1) for the function given?
f(x)=x^2-3x+8
Answers
Answer: 12
Work is provided in the image I attached
Ava has a collection of 200 coins. How many coins represent 5% of her collection?
Please help me out
Answers
Answer:
\(10 coins\)
Step-by-step explanation:
\(5\%\) is equal to \(0.05\) which is just \(5 per 100\). In the number \(200\), there are 2 hundreds, so the answer would be 10 (coins that represent \(5\%\) of her collection. You could also do \(0.05×200=10\).
Question 7. Ezequiel's Biology marks are 8.3, 6.8 and 9.4 out of 10. His final grade in Biology is the mean of these three marks a Calculate Ezequiel's final grade in Biology. Ezequiel wrote the three marks correct to the nearest unit to find his final grade in Biology.
Answers
Answer:
Ezequiel's final grade is 8
Step-by-step explanation:
The average (mean) of Ezequiel's grade is:
\(\frac{(8.3+6.8+9.4)}{3} \approx 8.16666\)
which rounded to the nearest unit is 8.
Answer:
It would be 8 :)
Step-by-step explanation:
the right triangle shown below with hypotenuse 13 inches long and vertical leg 5 inches long is rotated 360c around the vertical leg to form a right circular cone. what is the volume of this cone, in cubic inches?
Answers
The cone has a volume of (D) 288in3.
What do we mean by volume?A volume is a unit of measure of occupied three-dimensional space. It is frequently quantified numerically using SI-derived units (such as cubic meters and liters) or various imperial modules (such as the gallon, quart, and cubic inch). The definition of volume is related to the definition of length (cubed). The volume of a container is generally recognized to be its capacity; that is, the quantity of fluid (gas or liquid) that it can hold, rather than the amount of space that it occupies.To find the volume:
Given:
Radius = 6 inheight =?g = 10 inVolume =?Formula:
Volume of a cone = πr²h / 3The Pythagorean theorem is used to calculate height.
height² = 10² - 6² = 100 - 36 = 64 height = 8The volume of the cone:
Volume = π(6)²(8) Volume = π(36)(8) Volume = 288π in³Therefore, the volume of the cone is (D) 288in³.
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The complete question is given below:
Right triangle ABC, shown, has a vertical leg 6 inches long and a hypotenuse 10 inches long. If the triangle was rotated 360 degrees around the vertical leg to form a right circular cone, what would be the volume of this cone, in cubic inches?
A. 32
B. 96
C. 128
D. 288
E. 384
Find the coordinates of point Bon AC such that AB is 1/3 of AC.
Answers
Answer:
(3,3)
Step-by-step explanation:
8--7=15
15/3 = 5
8-5=3
ordered pair at x=3 is (3,3)
please help with all 3 of those please
Answers
Answer: 1. x = 32, 2. x = 16, 3. x = 77
Step-by-step explanation: All of these angles are 90 degree angles, therefore by subtracting the known term from 90, you are able to find the value of x. I hope that this helps :)
Mark each of the following graphs as (a) a function, but not one-to-one, (b) one-to-one function, or (c) not a function. In each case, explain how you know. (1 point each)
Answers
The graph is forming a function but it is not an one-one function.
If the vertical line test is satisfied, then the graph represents a function and a vertical line will cross it at most once.
If a horizontal line crosses the graph in no more than one spot, the function is one-to-one and passes the horizontal line test.
The graph in this case is made up of several horizontal, non-overlapping lines. It is a function and passes the vertical line test, however a horizontal line can cross the graph at any number of locations (is not one-to-one).
However, the graph is not a one-to-one function.
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Write a phrase for the algebraic expression:
s +7
Answers
There are many possible answers for this.
One example is below.
S = the number of stations included when a person orders basic cable, write an expression for the number of stations a person has if he ordered basic cable and 7 premium channels.
We can represent this as s + 7.
The value that we don't know is the number of
stations included when a person orders basic cable.
So we can represent that as s.
Then, since the person ordered 7 premium channels, that means he
is adding an additional 7 channels to his basic cable plan.
So we can represent this as s + 7.
Answer:
a number plus 7
Step-by-step explanation:
s+7
Let s represent an unknown number
a number plus 7