15. A car loan is made by Sharon for the purchase of a $27,000 JEEP.If she pays only 1.9% simple interest for the 4 year loan,a) What is the interest she must pay?b) What is the total she must pay back?

Answers

Answer 1

Given:

Principal, P = $27,000

Interest rate, R = 1.9%

Time, T = 4

Let's solve for the following.

(a) What is the interest she must pay?

To find the interest apply the simple interest formula:

\(I=\frac{P\ast R\ast T}{100}\)

Substitute values into the formula:

\(\begin{gathered} I=\frac{27000\ast1.9\ast4}{100} \\ \\ I=\frac{205200}{100} \\ \\ I=2052 \end{gathered}\)

Therefore, the interest she must pay is $2,052

(b) What is the total she must pay back?

To find the total she must pay, add the interest and the principal amount.

Total Amount = Principal + Interest

Total Amount = 27000 + 2052 = 29,052

Therefore, the total amount she must pay is $29,052

ANSWER:

(a) $2,052

(b) $29,052


Related Questions

Given vectors, a= (-2 -3) and b= ( 1 -1 ) find 2a-3b

Answers

Answer:

(-10,0)

Step-by-step explanation:

2a =[2(-2) , 2(-3)] = (-4 -6) <--- add them

-3b = [-3(1) . -3(-1)] = (-3 +3) <--- add them

2a - 3b =  

[(-4  -6), (-3  +3)] =

(-10,0)

28 less than twice a number is equal to the number. What is the number?

Answers

Answer:

x = 28

Step-by-step explanation:

2x - 28 = x

-2x         -2x

- 28 = - x

/-x       /-x

28 = x

x = 28

Alfonso solved a division problem by drawing an area model.
a. Look at the area model. What division problem did Alfonso solve?

Answers

Answer:

.

Step-by-step explanation:

.

Which two values of x are roots of the polynomial below? x^2+3x+5

Answers

answer:2x-4+=5x

Step-by-step explanation:

Consider the function f(x)=10^x and function g. G(x)=f(x+4)
how will the graph of function g differ from the graph of function f?

A. The graph of function g is the graph of function f shifted 4 units down
B. Shifted 4 units to the left
C, shifted 4 units up
D. Shifted 4 units to the right

Answers

The graph of function G is shifted 4 units to the left :)

the top answer correct :)

rianna went on a trip to the art museum and sketched a scale drawing of a rectangular wall mural. She used a scale factor of 0.2. The sketch was 12 inches wide and 18 inches long. What was the length of the mural?
3.6 inches
18.2 inches
60 inches
90 inches

Answers

Answer:

3.6

Step-by-step explanation:

Bhcnjxyfoufkxxfuiudg

An item travels 70 feet in 10 seconds. What is the unit rate? Question 1 options: 7 ft/s 17 ft/s 70 ft/s 700 ft/s

Answers

Answer: 7ft/s

Step-by-step explanation: 7ft x 10 sec =70 seconds

Solve y = x³ for x if y = - 1000.

Answers

Answer: x = - 10

Step-by-step explanation:

    We will use the equation given, substitute -1,000 in for y, and solve.

y = x³

(1,000) = x³

\(\sqrt[3]{ (1,000)} = \sqrt[3]{x^3}\)

- 10 = x

x = - 10

Is Michael correct? Will choose brainly

Is Michael correct? Will choose brainly

Answers

Yes michal is forrest

Can someone tell me step by step how to solve this.

So, the formula is f(x) = 1.5(2)^x,
1.5 being the initial value, 2 being the base.

This is the equation I was confused on how to solve -

f(-1)=1.5(2)^-1

I know the answer is 0.75 but finding how to get to that answer is what I am struggling with.

(If you aren’t familiar, it’s exponential functions, specifically growth in this case.)

Answers

Answer:

f(-1) = 0.75

Step-by-step explanation:

\(f(x)=1.5(2)^x\\f(-1)=1.5(2)^{-1}\\f(-1)=1.5(\frac{1}{2})\\f(-1)=0.75\)

Remember to write \(2^{-1}\) as \(\frac{1}{2}\), that was probably where you were stuck!

The pyramid and prism above have the same triangular base and height. The volume of the pyramid is 18 cubic inches. What is the volume of the prism?
A. 36 cubic inches
B. 72 cubic inches
C. 6 cubic inches
D. 54 cubic inches

Answers

The volume of a pyramid that has the same base and height as the prism it is inscribed in is exactly one-third the volume of the prism. This is true for any pyramid that can be inscribed in a prism as long as the base and height are the same1.
Since the volume of the pyramid is 18 cubic inches, then the volume of the prism is 3 times that amount which is 54 cubic inches 2.
Therefore, the answer is D. 54 cubic inches.

Cynthia has a photo frame that has a circumference of 56.52cm. What is the radius of the photo frame?

Answers

Answer:8.99 cm

Step-by-step explanation:

Answer:

\(8.995\)cm

Step-by-step explanation:

The circumference formula is: \(C=2\pi r\)

We are given the circumference, which is 56.52cm.

The question wants us to find the radius, r.

To achieve this, we must solve for r.

Plugging in 56.52 for C we get:

\(56.52=2\pi r\)

Dividing both sides by \(2\pi\), we find r:\(8.995\)

\(\frac{56.52}{2\pi } =r\)

\(8.995\)≈\(r\)

If you want to round it up, you can round it to 9cm.

PLEASE I ONLY HAVE AN HOUR!!!!

PLEASE I ONLY HAVE AN HOUR!!!!

Answers

1) sin 36 = 0.5878

cos 34 = 0.8290

tan 86 = 14.3007

2) A  = 37°

B  = 23°

C  = 2°

3) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

4) The measure of angle A is: ∠A = 39.6°

5) The length of side x is: x = 39.5 mm

How to find the trigonometric ratios?

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) sin 36 = 0.5878

cos 34 = 0.8290

tan 86 = 14.3007

2) A = sin⁻¹0.6018 = 37°

B = cos⁻¹0.9205 = 23°

C = tan⁻¹0.0349 = 2°

3) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

4) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

5) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

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Does anyone know how to do this function

Does anyone know how to do this function

Answers

Answer:

Step-by-step explanation:

f(x) = 2x + 1

g(x) = ?

h(x) = ln(x)

hgf(x) = ½ln(2x - 3)

All h(x) does is take a natural log of a number, therefore the output

gf(x) = \(\sqrt{2x - 3}\)

the change between f(x) and fg(x) is a subtraction of 4 then raising the result to a power of ½.

g(x) = \(\sqrt{x - 4}\)

Write the equation of the line parallel to y=1/2x−6 that passes through (−10,4).

Answers

Answer:

y = 1/2 x + 9

Step-by-step explanation:

y = 1/2 x + b

4 = (1/2)(-10) + b

4 = -5 + b

b = 9

Does 17 divide each of these numbers?
a) 68
b) 84
c) 357
d) 1001

Answers

Answer:

A and C divide by 7

Step-by-step explanation:

68÷17=4

357÷17=21

68 and 357 are completely divisible by 17. Therefore, option A and C are correct answers.

What is the division?

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

The given number is 17.

A) 68

Here, 68/17 =4

B) 84

84÷17

17|84|4

   68

______

   16

Here, remainder is 16

C) 357÷17

17|357|21

   357

______

    0

C) 1001÷17

17|1001|58

   986

______

    15

68 and 357 are completely divisible by 17. Therefore, option A and C are correct answers.

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△GFH is similar to △CDE. Identify the corresponding congruent angles.

GFH is similar to CDE. Identify the corresponding congruent angles.

Answers

Answer:

∠G ≅  ∠C

∠F ≅  ∠D

∠H ≅  ∠E

Step-by-step explanation:

Consider the statement n2 + 1 ≥ 2n where n is an integer in [1, 4].
Identify the n values for which the equation is to be verified in order to prove the given statement.
(You must provide an answer before moving to the next part.)
Consider the statement that min(a, min(b, c)) = min(min(a, b), c) whenever a, b, and c are real numbers.
Click and drag the steps to prove min(a, min(b, c)) = min(min(a, b), c) whenever a, b, and c are real numbers. Assume a is the smallest real number.

Answers

The statement n² + 1 ≥ 2ⁿ, where n is an integer in [1, 4] is true statement.

The statement that min(a, min(b, c)) = min(min(a, b), c) whenever a, b, and c are real numbers is also true statement in all possible cases.

We have provide two statements and we have to prove them .

a) Consider the statement n² + 1 ≥ 2ⁿ where n is an integer in [1, 4].

For n= 1, we have n²+ 1 = 1 + 1= 2 and 2ⁿ = 2¹ = 1 so, 2≥ 2 then n² + 1 ≥ 2ⁿ.

For n = 2, we have n²+ 1 = 4+1 = 5 and 2ⁿ = 2² = 4 , so 5 > 4 then n² + 1 ≥ 2ⁿ.

For n = 3, we have n² + 1 = 9 + 1= 10 ≥ 8 =2³ =2ⁿ, then n² + 1 ≥ 2ⁿ.

For n = 4, we have, n²+1 = 16 + 1 = 17 > 16 = 2⁴ = 2ⁿ, so n² + 1 ≥ 2ⁿ.

In each case, we see n² +1 ≥ 2ⁿ Hence, the statement is proved.

b) Consider the statement that min(a, min(b, c)) = min(min(a, b), c) whenever a, b, and c are real numbers. Proof it by cases :

Case 1 : min (a, min (b, c)) = a.

"a" is the minimum element if a is smaller than or equal to the other elements within the minimum statement: a ≤ min(b, c) or in other words a ≤b and a ≤ c.

The minimum of a and b then has to be equal to a (due to a ≤ b), min(a, b) = a

The minimum of a and c has to be equal to a (due to a ≤ c), min(min(a, b), c)

= min(a, c) = a

Thus we have shown in this case min(a. min (b.c))= min (min(a,b). c).

Case 2: min (a, min (b, c)) = b,

b is the minimum if b is smaller than or equal to the elements within minimum statement: b≤a and b≤min(b, c)

b is smaller than or equal to the minimum, if b is smaller than or equal to both of the terms expressed in the minimum.

b≤ b and b≤c

The minimum of a and b then has to be equal to b (due to b ≤ a), min(a,b) = b

The minimum of b and c has to be equal to b (due to b≤ c)

min(min(a, b), c) = min (b, c) = b

Thus we have shown in this case min(a, min (b, c)) = min (min(a,b), c).

Case 3 : min (a, min (b, c)) = c,

c is the minimum if c is smaller than or equal to the elements within the minimum statement: c≤a and c< min(b, c)

c is smaller than or equal to the minimum, if c is smaller than or equal to both of the terms expressed in the minimum, c≤ b

c≤ c. Since c<a and c≤ b, c then also has to be smaller than or equal to the minimum of a and b, c≤ min(a, b). The minimum of min (a, b) and c has to be equal to c (due to c<min(a, b)), min(min(a, b), c) = c. Thus we have shown in this case min(a, min (b, c)) = min (min(a, b), c).

Conclusion : Since min(a, min(b, c)) = min (min(a, b), c) is true for all three possible cases, the statement is always true.

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question 11 options: in a random sample of 64 orders from on online retailer the proportion of orders made by women is 86%. construct a 95% confidence interval for the true population proportion of online orders made by women. round answers to 3 decimal places, i.e., .xxx. do not put as a percent. do not include leading or ending zeros. lower limit

Answers

The Lower limit is 0.745 and the Upper limit is 0.976.

In data, an easy random sample is a subset of people (a pattern) chosen from a larger set (a population) wherein a subset of individuals are selected randomly, all with identical possibilities. it is a system of choosing a pattern in a random manner. In SRS, each subset of okay individuals has the identical chance of being chosen for the sample as every other subset of okay individuals. An easy random pattern is an independent sampling approach. simple random sampling is a fundamental sort of sampling and may be an element of other extra complicated sampling strategies.

In statistics, an easy random pattern is a subset of individuals (a pattern) selected from a bigger set (a population) in which a subset of individuals are chosen randomly, all with identical chances. it's far a manner of choosing a pattern in a random way. In a random sample, every subset of okay people has the identical possibility of being chosen for the pattern as any other subset of okay individuals. An easy random pattern is an impartial sampling approach. simple random sampling is a fundamental type of sampling and can be an issue of other extra complex sampling strategies.

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question 11 options: in a random sample of 64 orders from on online retailer the proportion of orders

£35 in the ratio 3:4

Answers

Answer:15 and 25

Step-by-step explanation:

3:4= 7

35/7=5

5x3=15

5x4=20

Help! Please will give brainliest if you will

ASAP

Help! Please will give brainliest if you willASAP
Help! Please will give brainliest if you willASAP

Answers

Answer: i hope this answers your question

Step-by-step explanation:

the function is negative over the interval (-3,5)

the function is positive over the interval (-..-5)

the function is positive over the interval (3,..)

Answer:here

Step-by-step explanation:

the function is negative over the interval (-3,5)

the function is positive over the interval (-..-5)

the function is positive over the interval (3,..)

I need explanation for example 8.
Thankyou

I need explanation for example 8.Thankyou

Answers

There is a probability of 94/315 that the problem will be solved.

We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.

The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.

The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.

The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.

The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.

To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:

2/7 + 4/7 + 4/9 = 94/315

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A triangle is formed with side lengths of 7 inches, 24 inches, and 25 inches. is the triangle a right triangle?

Answers

Answer:

yes.

and here are some other words bc it needs to be longer than one word.

Answer:

Step-by-step explanation:

please help need asap

please help need asap

Answers

Answer: X = 21/6

Step-by-step explanation:

The angle is a 90 degree angle.

that means we know 21x+6=90

21x = 90-6

21x=84

x = 84/24

x = 21/6

x = 21/6

i need help on these please

i need help on these please

Answers

The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.

How to calculate the constant rate of gas?

From the given table;

The volume of the first gas Layla bought = 3 gallons.

The cost of the 3 gallons = 9.45

Therefore the cost of 1 gallon = ?

That is:

3 gallons = $9.45

1 gallon = X

Make X the subject of formula:

X = 9.45/3 = $3.15

Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.

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a) Alex, an eighth grader, and Eric, a seventh grader, need to determine who came
closer to their grade’s state record for the triple jump. Alex jumped 38 feet 11 2/3
inches and Eric jumped 36.89 feet. Who was closer to the state record if the eighthgrade record is 40.17 feet, and the seventh-grade record is 38 feet 1 3/5 inches? (2
points)

Answers

The person that was closest to the state record after the jump is; Alex

How to solve Algebra word problems?

We are told that Alex jumped 38 feet 11²/₃ inches or 38.9725 ft and that the eighth-grade record is 40.17 feet.

Let see how closer Alex jumped was;

40.17 feet - 38.9725 ft = 1.2425 ft

We are told that Eric jumped 36.89 feet and the state record of the eighthgrade record is 40.17 feet. Thus;

Let see how closer Eric jumped was;

40.17 feet - 36.89 ft = 3.28 ft

We conclude that 1.2425 ft is less than 3.28 ft and as such Alex was closer.

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What is the volume of the bird feeder? Round to the nearest tenth if nessacaryWhat is the volume of the bird feeder

Answers

It would be 17j and I’m gay

What is 3.12 divided by 6.5 ????

Answers

Using the arithmetic operation of division, the value for 3.12 / 6.5 is obtained as 0.48.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

To divide 3.12 by 6.5, we need to use the following steps -

We can align the decimal point by multiplying both the numerator and denominator by a power of 10 to get rid of the decimal in the numerator.

So, we can multiply both 3.12 and 6.5 by 100 to get -

312 / 650

We can simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF).

In this case, the GCF is 26.

So, we can divide both 312 and 650 by 26 to get -

12 / 25

Use the arithmetic operation of division -

12 / 25 = 0.48

Therefore, 3.12 divided by 6.5 is equal to 12/25 or 0.48 when rounded to two decimal places.

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0.834
0.861
0.927
0.877
0.831
0.925
0.912
0.83
0.849
0.933
0.884
find mean, median, maximum, minimum, and mode

Answers

Mean ≈ 0.874

Median ≈ 0.877

Maximum = 0.933

Minimum = 0.83

Mode = None

To find the mean, median, maximum, minimum, and mode of the given numbers:

Mean: The mean is the average of a set of numbers.

To calculate the mean, add up all the numbers and divide the sum by the total count.

Mean = (0.834 + 0.861 + 0.927 + 0.877 + 0.831 + 0.925 + 0.912 + 0.83 + 0.849 + 0.933 + 0.884) / 11

Mean ≈ 0.874

Median: The median is the middle value when the numbers are arranged in ascending or descending order.

Since there are 11 numbers, the median would be the 6th number when arranged in order.

Arranging the numbers in ascending order:

0.83, 0.831, 0.834, 0.849, 0.861, 0.877, 0.884, 0.912, 0.925, 0.927, 0.933

Median ≈ 0.877

Maximum: The maximum is the largest value among the given numbers.

Maximum = 0.933

Minimum: The minimum is the smallest value among the given numbers.

Minimum = 0.83

Mode: The mode is the value(s) that appear most frequently in the given numbers.

If there is no value that appears more than once, there is no mode.

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Mark used the computer for 12 hours. If the average power use of a computer per hour is 299 watts, how much power did Mark use?

Answers

Answer:

Step-by-step explanation:

Answer: 3,588

To be able to solve, you need to multiply 12 (the amount of hours he used) by 299 (since he used 299 per hour) this would result in you getting a answer of 3,588 watts of power.
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Read "The Jelly-Bean"Several generations before Jim was born his family had been ____ShunnedPoor WhitesWealthyHappyWhat supports this?"Most of the men knew him, condescendingly; he tipped his hat to three or four girls. That was all. ""They would all be there the old crowd, the crowd to which, by right of the white house, sold long since, and the portrait of the officer in gray over the mantel, Jim should have belonged. ""Daggone! he muttered, half aloud. ""But that crowd had grown up together into a tight little set as gradually as the girls dresses had lengthened inch by inch, as definitely as the boys trousers had dropped suddenly to their ankles. ""And to that society of first names and dead puppy loves Jim was an outsider a running mate of poor whites. " FVA =PMT((1+(r/12)t(12))1)/(t/12) PVA =PMT((1(1+([/12))t(12)))/((/12) Using the formulas above, calculate the following 3) You just bought a yacht and your MONTHLY payments are $3,662.55 which you got a loan from your local bank at a rate of 9% annually for 8 years. How much did you pay for the yacht? Round to the nearest DOLLAR. (a) Explain why the stability of a person against a toppling force is increased by spreading the legs asshown in Fig. 1.7. (b) Calculate the force required to topple a person of mass = 70 kg, standing with hisfeet spread 0.9mapart as shown in Fig. 1.7. Assume the person does not slide and the weight of theperson is equally distributed on both feet. Express the statement as an equation. (Use k as the constant of proportionality.) C is jointly proportional to L,W, and H. Use the given information to find the constant of proportionality. If L=W=H=2, then C=136. k= Thomas drive from junction 2 to junction 3 on a road . The distance between the junctions is 12 miles and it takes 15 minutes. Hanna also drove from junction 2 to junction 3 on the road. She drove at an average speed of 50 mph . Who has the faster speed. Explain a filing cabinet measures 5 feet high 18 inches wide and 2 feet deep. what is the volume of the filing cabinet The product of rational numbers can always br written as ? sistant - EL3610What is an example of ergonomics?O standing with proper posture when turning a patientO keeping a stable base of support when turning a patientpositioning a bed to a better height when turning a patientO maintaining a center of gravity when turning a patient A scientist is investigating a new drug that will cure the common cold. The scientist should give the __________ group an empty pill, rather than the pill with the drug being tested. 1. variable2. control 3. test4. experimental An advertiser wants to increase the Quality Score of a low-performing keyword. Which approach would you recommend?0Repeat the keyword as many times as possible in the ad text.Modify the ad associated with that keyword to direct to a highly-relevant landing pageDelete the keyword and add the keyword to the campaign againIncrease the daily budget for the campaign in which the keyword is located A gas expands in volume from 30.0 mL to 88.2 mL at constant temperature. (a) Calculate the work done (in joules) if the gas expands against a vacuum: Enter your answer in scientific notation. in addition to simply showing up for work, what term relating to professionalism also includes showing up for work clean, groomed, and dressed for the part? Use the method of variation of parameters to find a particular solution of the differential equation y ''+ 2y' + y = 5e^-t The following data are available for the Northwestern Division of Dempsey, Inc. and the single product it makes. Average operating assets $3,000,000 Annual fixed costs 560,000 Unit selling price 40 Variable cost per unit 24How many units must the division sell each year to achieve an ROI of 16%? A video gets 280 views every 7 hours, how long will it take for the video to reach 1000 views. in george herbert mead's development of the self, the part of our self concept that represents an internalized sense of the total expectations of others in a variety of settings - regardless of whether we've encountered those people or places before, is called Marco is harmed when Nell defames him. If Marco brings a successful tort action against Nell, he may be awarded general damages to compensate him for ________ is the net return from a marketing investment divided by the costs of the marketing investm PLZ HELP ILL GIVE U BRAINLIST AND 100PTS solve 1 + cos theta = 2 cos^2 theta