Jenny is paying $334.82 per year on credit card interest.
How much is she spending on credit card interest?We need to find his annual interest payment which is:
= $1100 * 2% * 12 month
= $264
So, we have an annual interest payment of $264
We must account for interest that accumulates on the interest itself. To calculate this, we can use the formula: A = P (1 + r/n)^(nt) when P is $264, r is 24%, n is 12 and t is 1.
A = $264 * (1 + 0.24/12)^(12*1)
A = $264 * 1.26824179456
A = $334.815833764
A = $334.82.
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PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Brandon invests $5800 in two different accounts. The first account paid 3 %, the second account paid 8 % in interest. At the end of the first year he had earned $229 in interest. How much was in each account?
$ ___ at 3 %
$ ____ at 8 %
Interest is a fee charged by a lender to a borrower for the use of money or credit, usually expressed as a percentage of the amount borrowed or invested over a period of time. Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest. The total interest earned after one year is $229
How much was in each account?
Let x be the amount invested in the first account that pays 3% interest, and let y be the amount invested in the second account that pays 8% interest. Since the total amount invested is $5800, we have:
\(x + y = 5800\)
The amount of interest earned on the first account is 0.03x, and the amount of interest earned on the second account is 0.08y. Since the total interest earned after one year is $229, we have:
\(0.03x + 0.08y = 229\)
We now have two equations with two unknowns:
\(x + y = 5800\)
\(0.03x + 0.08y = 229\)
We can solve for x and y by using elimination or substitution method. Here, we will use the substitution method.
Solve the first equation for x:
\(x = 5800 - y\)
Substitute this expression for x into the second equation and solve for y:
\(0.03(5800 - y) + 0.08y = 229\)
\(174 - 0.03y + 0.08y = 229\)
\(0.05y = 55\)
\(y = 1100\)
Now substitute this value of y into either equation to solve for x:
\(x + 1100 = 5800\)
\(x = 4700\)
Therefore, Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.
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The market research department at a manufacturing plant determines that 30% of the people who purchase the plant's product during any month will not purchase it the next month. On the other hand, 20% of the people who do not purchase the product during any month will purchase it the next month. In a population of 1000 people, 200 people purchased the product this month. How many will purchase the product next month and in 2 months?
(a) next month
(b) in 2 months
(a) 940 people will purchase the product next month.
(b) 952 people will purchase the product in 2 months.
What is the probability?
Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.
(a) To find the number of people who will purchase the product next month, we can first calculate the number of people who will not purchase it next month using the given percentage.
Percentage of people who will not purchase the product next month = 30%
Number of people who purchased the product this month = 200
Number of people who will not purchase the product next month = 30% of 200 = 0.3 x 200 = 60
So, out of the 200 people who purchased the product this month, 60 people will not purchase it next month.
Now, to find the number of people who will purchase the product next month, we subtract the number of people who will not purchase it from the total population of 1000.
Total population = 1000
Number of people who will not purchase the product next month = 60
Number of people who will purchase the product next month
= Total population - Number of people who will not purchase it next month
= 1000 - 60
= 940
Hence, 940 people will purchase the product next month.
(b) To find the number of people who will purchase the product in 2 months, we need to account for the 20% of people who do not purchase it in one month but will purchase it the next month.
Number of people who will purchase the product in 2 months = Number of people who will purchase it next month + Number of people who will not purchase it next month but will purchase it in 2 months
Number of people who will not purchase it next month but will purchase it in 2 months = 20% of 60 (people who will not purchase it next month) = 0.2 x 60 = 12
Number of people who will purchase the product in 2 months = 940 (people who will purchase it next month) + 12 (people who will not purchase it next month but will purchase it in 2 months)
= 952
Hence, 952 people will purchase the product in 2 months.
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NOT ARITHMETIC SEQUENCE
Answer:
its ok
Step-by-step explanation:
The sales tax for an item was $7.20 and it cost $360 before tax.
Find the sales tax rate. Write your answer as a percentage.
Answer:
2% sales tax rate
Step-by-step explanation:
Solve the equation. Please help
\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)
Enter an equation that expresses y in terms of x.
x 40 50 60 70
y 38 48 58 68
The equation is
The equation that expresses y in terms of x is y = x - 2.
To find an equation that expresses y in terms of x, we need to determine the relationship between the two variables. One way to do this is by finding the slope of the line that passes through the given points.
Using the two points (40, 38) and (70, 68), we can find the slope as:
slope = (change in y) / (change in x)
slope = (68 - 38) / (70 - 40)
slope = 30 / 30
slope = 1
This means that for every increase of 1 in x, y also increases by 1.
We can now use the point-slope form of a linear equation to find the equation of the line passing through these points:
y - 38 = 1(x - 40)
Simplifying:
y = x - 2
Therefore, the equation that expresses y in terms of x is y = x - 2.
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i need help can someone help me
The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering the sine of angle 41°
sin 41° = 2.5/x {opposite/hypotenuse}
x = 2.5/sin 41° {cross multiplication}
x = 3.8106
Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.
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each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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PLEASE HELP MEEEEE ASAP 100 POINTS
Answer:
3. D 4. B
Step-by-step explanation:
3. e^2 = g^2 + f^2, answer is d
4. Let a = 3, b = 4, c = 5
2c = 10
2b = 8
2a = 6
10^2 = 8^2 + 6^2
answer is b
3. The Pythagorean theorem states the hypotenuse squared is equal to each side squared added to each other.
The answer is D. E^2 = f^2 + g^2
4.
To keep the proportion you could multiply the sides by the same numbers . The answer would be 2A, 2b, 2c
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound
B. If a chemist wants to make 728 milliliters of the drug, how many milliliters of compound A are needed?
? milliliters of compound A
In order to create 728 millilitres of the medication, 273 millilitres of component A are required.
What do you mean by compound?A compound in chemistry is a material comprised of two or more separate chemical elements mixed together in a certain proportion. Chemical connections that are challenging to break are created when the elements interact with one another.
Compound A:Compound B ratio in the medication is 3:5. In other words, there are 3 millilitres of compound A and 5 millilitres of compound B for every 3+5=8 millilitres of the medicine.
We may set up a percentage using the ratio of compound A to the total volume of the medicine to determine how much compound A is required to make 728 millilitres of the drug:
3 ml x 3 ml x 3 ml
-------- = ----------
728 ml total, 8 ml overall
If we cross-multiply, we obtain:
8(x) = 3(728)
To find x, we use the formula x = 3(728)/8 = 273
In order to create 728 millilitres of the medication, 273 millilitres of component A are required.
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273 milliliters of compound A are needed to make 728 milliliters of the drug.
What are proportions?
In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:
a/b = c/d
To determine the amount of compound A needed to make 728 milliliters of the drug, we need to use the given ratio of 3 milliliters of compound A to 5 milliliters of compound B.
Let's start by finding the ratio of compound A to the total amount of ingredients (A+B) in the drug:
3 : (3+5) or 3:8
This means that for every 8 milliliters of the drug, 3 milliliters of compound A are used.
To find out how many milliliters of compound A are needed for 728 milliliters of the drug, we can set up a proportion:
3/8 = x/728
where x represents the amount of compound A needed.
To solve for x, we can cross-multiply:
8x = 3*728
8x = 2184
x = 273
Therefore, 273 milliliters of compound A are needed to make 728 milliliters of the drug.
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Find the numbers with the following property three times the sum of four and a number is less than seven times the same number
Let's represent the number with the variable "x". According to the given property, we can write the following equation:
3(x + 4) < 7x
Now, let's solve this inequality to find the range of numbers that satisfy the property.
3x + 12 < 7x
Subtract 3x from both sides:
12 < 4x
Divide both sides by 4 (since the coefficient of x is 4):
3 < x
So, the range of numbers that satisfy the given property is x > 3.
Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:
Factor the following quadratic expression: -2x^2 + 4x +8
You know the perimeter of a square to be 34 meters. Find the length of one side.
Step 2 of 3: Without substitution, solve the formula for the unknown variable in terms of the known variables.
The side of one side of the square is determined as: 8.5 meters.
What is a Square?A square is a quadrilateral shape that has four sides that have the same length and four interior angles that are right angles (90 degrees).
What is the Perimeter of a Square?The perimeter of a square is the sum of all the sides of a square which can be calculated using the following formula given as,:
Perimeter = 4(s), where s represents the length of one side of the square.
We are given that:
Perimeter of the square = 34 meters
Therefore:
34 = 4(s)
Divide both sides by 4
34/4 = 4(s)/4
8.5 = s
s = 8.5 m
Thus, the side of one side of the square is determined as: 8.5 meters.
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Find the slope of the line containing points (3,5) and (-7,9). Write your answer as a fraction
The slope (m) of a line containing two points is computed as follows:
\(m\text{ = }\frac{y_2-y_1}{x_2-x_1}\)where (x1, y1) and (x2, y2) are the coordinates of the given points.
In this case, the points are (3, 5) and (-7, 9). Replacing into the formula:
\(m\text{ = }\frac{9\text{ - 5}}{-7\text{ - 3}}\text{ = }\frac{4}{-10}\)which can be simplified to -2/5 dividing numerator and denominator by 2.
Evaluate [log2(3)].[log3(4)].[log4(5)]...[log63(64)]. (Note here that 62 logarithmic terms are being multiplied together.) 1 614985 2020
Evaluating [log2(3)].[log3(4)].[log4(5)]...[log63(64)] is 6
How to evaluate the logarithmic termsWe can use the property that [log_a(b)]=[log_c(b)/log_c(a)] to simplify the expression. Applying this property repeatedly, we get:
[log2(3)].[log3(4)].[log4(5)]...[log63(64)]
= [log2(3)/log2(2)].[log3(4)/log3(3)].[log4(5)/log4(4)]...[log63(64)/log63(62)]
= [log2(3)/1].[log3(4)/1].[log4(5)/1]...[log63(64)/1]
= log2(3) log3(4) log4(5) ... log63(64)
Now, we can use the identity [log_a(b)log_b(c)log_c(d)...log_y(z)] = log_a(z) to combine the logarithms into a single logarithm with a base of 2:
log2(3) log3(4) log4(5) ... log63(64) = log2(64)
Since 2^6 = 64, we have:
log2(64) = 6
Therefore, [log2(3)].[log3(4)].[log4(5)]...[log63(64)] evaluates to 6.
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A worker fences in a construction site using four pieces of fencing that have lengths of 20, yards 16, yards, 20 yards, and 16 yards. Name all of the possible four-sided shapes that the worker can enclose with the fencing.
The possible shapes of the fencing are a parallelogram and a rectangle.
Given that, a worker fences in a construction site using four pieces of fencing that have lengths of 20, yards 16, yards, 20 yards, and 16 yards.
We need to tell possible four-sided shapes that the worker can enclose with the fencing.
So, we can see that, the pair of sides are equal,
Which is condition in a parallelogram and a rectangle.
Hence, the possible shapes of the fencing are a parallelogram and a rectangle.
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What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
A charity is raising money by selling two thousand raffle tickets for $2 each. There is one grand prize worth $500, three secondary prizes worth $200 each, and eight third level prizes worth $20 each. What is the expected value of a $2 ticket? Answer is negative $1.358 but how do you calculate that?
The expected value of a $2 ticket is $0.63
How to determine the expected value of a $2 ticketTo calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:
The Probability of winning the grand prize = 1/2000
Product: (1/2000) x $500 = $0.25
The Probability of winning a secondary prize: 3/2000
Product: (3/2000) x $200 = $0.30
The Probability of winning a third level prize: 8/2000
Product: (8/2000) x $20 = $0.08
The sum of the products:
$0.25 + $0.30 + $0.08 = $0.63
So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.
The charity is expected to make a profit, which is why the answer is negative.
That is -$2 + $0.63 = -$1.37
So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)
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Question 11 of 25
Company A charges a $120 annual fee plus $7 per hour car share fee.
Company B charges $100 plus $9 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
A. 12
B. 11
O C. 10
D. 9
Answer: is A
Step-by-step explanation:
What is 1 1/2 + 3 7/8
5 3/8
Step-by-step explanation:Hi there !
1 1/2 + 3 7/8 =
= (1×2+1)/2 + (3×8+7)/8
= ⁴⁾3/2 + 31/8
= 12/8 + 31/8
= (12 + 31)/8
= 43/8
= 5 3/8
Good luck !
PLEASE HELP ASAP! What is the rate of change (slope) and the initial value (y-axis) for this table? PLEASE ANSWER BOTHY AXIS AND SLOPE! And please give an explanation if possible
Rate of change (slope) of the given data is equal to 24 and initial value (y-axis) for this table is $35.
As given in the question,
Concert tickets : 1 3 5 7
Total cost ($) : 35 83 131 179
Let x represents the concert tickets and y represents the total cost
Difference between two consecutive terms of x is 2
Difference between two consecutive terms of y is 48
Rate of change (slope) = (y₂ -y₁) / (x₂ -x₁)
= (83 -35) /(3-1)
= 48 /2
= 24
Initial value (y-axis)= $35
Therefore, rate of change (slope) of the given data is equal to 24 and initial value (y-axis) for this table is $35.
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The perimeter of the triangle shown to the right is 160 feet . Find the length of each side.
The perimeter of the given triangle is equal to
\(\begin{gathered} P=(5x)+(6x+2)+(6x+5) \\ P=160\text{ ft} \\ 160=(5x)+(6x+2)+(6x+5) \\ solve\text{ for x} \\ 160=17x+7 \\ 17x=160-7 \\ 17x=153 \\ x=9 \end{gathered}\)Find out the length of each side
5x=7(9)=45 ft
6x+2=6(9)+2=56 ft
6x+5=6(9)+5=59 ft
Four movie tickets cost $26.00 . How much do seven movie tickets cost?
Answer:
Hi! I suggest reading the explanation, it will help make this equation more simple.
↓↓↓
The answer is $45.50
Step-by-step explanation:
First, divide 26.00 by four. This will give you 6.5, so now you know that each ticket individually costs $6.5 or $6.50.
next, multiple 6.50 by 7.
this will give you 45.5 or $45.50.
double check your answer by dividing 45.50 by 7.
your answer should be 6.5 on a calculator.
that's all! hope this helped.
Write the equation of the question.
The equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.
According to the question,
We have the following information:
Slope of the line = 1/3
We know that the slope of the line is denoted by m.
y-intercept of the line = -1
We know that the y-intercept is denoted by b.
We have the following equation for the line in slope-intercept form:
y = mx+b
Putting the above values in this equation:
y = x/3-1
Hence, the equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.
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find the nth term 5 20 45 80 125
Answer:\(10n^{2}\)+180
Step-by-step explanation:
The regression equation y= - 0.434x+72.21 approximates the percent of people in an audience who finish watching a documentary, y, given the length of the film in minutes, x.
What percentage is the best prediction for the percent of people in an audience who will finish watching a documentary that is 27 minutes long? Round your answer to the hundredths place
Using the regression equation we can estimate that 60.49% of people will finish the documentary.
Regression analysis is a group of statistical procedures used in statistical modelling to determine the associations between a regression model and one or more relationship between the independent variable.
Y is the variable (the variable that is plotted on the Y axis), X is the independent variable (i.e., it is displayed on the X axis), b is the slope of the line, and an is the y-intercept.The equation has the form Y= a + bX.The equation is given as Y= - 0.434X+72.21
At X=27 , the value of Y can be estimated as :
Y = -0.434 × 27 +72.21
or, Y = 60.492
or, Y ≈ 60.49
Therefore 60.49 % is the best prediction of people will watch the documentary completely.
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Let i be the imaginary number √-1. Determine whether the expression a+bi, where a and b are real numbers, represents a real number or a non-real complex number for each case below. Select Real Number or Non-Real Complex number for each case.
Case 1: a = 0; b = 0 --> Real Number
Case 2: a = 0; b ≠ 0 --> Non-Real Complex Number
Case 3: a ≠ 0; b = 0 --> Real Number
Case 4: a ≠ 0; b ≠ 0 --> Non-Real Complex Number
Understanding Complex NumberFor each case, we can determine whether the expression a + bi represents a real number or a non-real complex number based on the values of a and b.
Case 1: a = 0; b = 0
In this case, both a and b are zero. The expression a + bi simplifies to 0 + 0i, which is equal to 0. Therefore, the expression represents a real number.
Case 2: a = 0; b ≠ 0
Here, a is zero, but b is nonzero. The expression a + bi becomes 0 + bi, where b is a nonzero real number multiplied by the imaginary unit i. Since the expression contains a nonzero imaginary part, it represents a non-real complex number.
Case 3: a ≠ 0; b = 0
In this case, a is nonzero, but b is zero. The expression a + bi simplifies to a + 0i, which is equal to a. As there is no imaginary part in the expression, it represents a real number.
Case 4: a ≠ 0; b ≠ 0
Here, both a and b are nonzero. The expression a + bi contains both a real part (a) and an imaginary part (bi). Thus, it represents a non-real complex number.
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Question 2: Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually. She plans to withdraw the money when she retires in 30
years.
a) Determine the value of the investment when she retires. Show your
work.
I
b) Calculate the rate of return [note:] over the 30 years. Show your work.
the value of the investment when she retires is $26434.92.
What is the compound interest?Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
here, we have,
given that,
Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually.
She plans to withdraw the money when she retires in 30
years.
So, she get finally is,
using the formula we get,
$26434.92
hence, the value of the investment when she retires is $26434.92.
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Please awnser asap I am
Stuck
Answer:
it is too blury to read
Step-by-step explanation:
If your car gets 34 miles per gallon, how much does it cost to drive 320 miles when gasoline costs $3.40 per gallon?
The cost is $
(Simplify your answer. Round to the nearest cent as needed.)
Answer:
$31.96
Step-by-step explanation:
To find how many gallons you need, divide 320 by 34.
\(\frac{320}{34} =9.4 (rounded-to-the-nearest-cent)\)
So now that we know we need 9.4 gallons, we multiply 9.4 times the price per gallon ($3.40)
9.4 x $3.40 = $31.96