Suppose you want to save in order to purchase a new boat. Take the APR to be 6.0%.

You want to have $15,000 toward the purchase of a boat in three years. How much do you need to deposit each month? (Round your answer to the nearest cent.)

Answers

Answer 1

Answer:

Amount deposit each month = $365.26

Step-by-step explanation:

Given:

Amount deposit = $15,000

Rate = 6% = 6% / 12 = 0.005

Number of time = 3 x 12 = 36

Find:

Amount deposit each month

Computation:

Amount deposit each month = [(15,000) x 0.005]/[(1.005){(1.005)³⁶-1}]

Amount deposit each month = $365.26

Answer 2

The amount needed to be deposited each month is;

P ≈ $393.23

We are given;

APR = 6% = 0.06

Total accumulated amount; A = $15000

number of years; n = 3 years

To calculate the amount needed to be deposited each month, we will use the formula;

A = [P(1 + APR/12)¹²ⁿ - 1)] ÷ (APR/12)

Plugging in the relevant values gives;

15000 = [P(1 + (0.06/12))⁽¹²*³⁾ - 1] ÷ (0.06/12)

Rearrange to get;

[P(1 + (0.06/12))³⁶ - 1] = 15000 × 0.06/12

⇒ [P(1 + 0.005)³⁶ - 1] = 75

⇒ P(0.19073) = 75

⇒ P = 75/0.19073

P ≈ $393.23

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Related Questions

determine the intersepts of the lines ​

Answers

Answer:

Y-intercept is (0, 100) and the X-intercept is (-250, 0)

Step-by-step explanation:

For the y-intercept the line from the origin does not move left or right and stays at 0 but it goes up by 100.

For the x-intercept the line does not go up and down but it goes to the left -250.

zen throws a bad upward with an initial upward velocity of 64ft/s. the ball is 5 ft when it leaves her hand in how many second will the ball reach its maximum height? What is the balls maximim height?

Answers

Answer:

12.8 seconds

Step-by-step explanation:

You have a ribbon that is 7 1/2 inches long you use 1/2 of it on a project how many inches of ribbon are left

Answers

3.75 inches

7.5/2=3.75

Which number is NOT a common multiple of 4 and 6?

Answers

Answer:

8

Step-by-step explanation:

you can multiply 4 by another number to get 8

but you can’t multiply 6 by any whole number to get 8

Answer:

The answer is 8

Step-by-step explanation:

You can multiply 4 by two and get 8, but you can't multiply 6 by any whole number and get 8.

4 times 6= 24

6 times 4=24

4 times 3=12

6 times 2=12

4 times 15=60

6 times 10=60

chen is baking muffins and banana bread for brunch buffet. he needs 3 1/5 cups of flour to make the muffins and 3 2/3 cups of flour to make the banana bread. which is the best estimate of the number of cups of flour needed​

Answers

Answer:

I think 7 would be the estimate if im wrong this is the specific number 6 13/15

Step-by-step explanation:

Answer:

She will need aproximately 7 cups

Step-by-step explanation:

First, you add 3 1/5 and 3 2/3 which is 6.86666666667

Just round that answer up and that'll give you seven

Express into slope form

Answers

Answer: y= 3/2x+1

Step-by-step explanation:

Irina predicted that she would sell 75 books, but she actually sold 95 books. Which expression would find the percent error?

Answers

Percent error = |actual error - expected error/ expected error| * 100%
(|75-95|)/95 = 0.21
0.21 * 100% = 21% error

Allyn's room is located at (3, -3). Use words to describe the location on a
coordinate plane.

Will name brainest for the first great answer with a explanation

Answers

Her room's location is 3 right from the origin, or (0,0) , and 3 down from the origin. She is in the 4th quadrant.

(I'm not quite sure how I'm supposed to describe it...)

It’s located on Quadrant 4

PLEASE ANSWER THIS IN 30 MINUTES ILL GIVE YOU 30

Answers

Answer:

can you not just divide by 2 because you want to serve half the people?

Step-by-step explanation:

Please help me solve for all the numbers

Answers

Answer: 10,8,5 are all right angles (90 degrees) 7,6,9,2 are all acute angles and are 42 degrees

1 and 3 are obtuse angles and they are 117 degrees.

Step-by-step explanation:

you invest $4500 into an interest earning account that compounds daily at 5%.How much will you have in 6 years.How much interest will you earn​

Answers

Answer:

4500*1.05^(365*6) = 1.1422929e+50

Figure ABCD is a parallelogram.

Parallelogram A B C D is shown. The length of A B is 3 y minus 2, the length of B C is x + 12, the length of D C is y + 6, and the length of A D is 2 x minus 4.

What are the lengths of line segments AB and BC?

AB = 4; BC = 16
AB = 4; BC = 8
AB = 10; BC = 20
AB = 10; BC = 28

Answers

The lengths of line segments AB and BC are AB = 10; BC = 28

What are parallelograms?

Parallelograms are shapes with parallel and equal opposite sides

The given parameters are:

AB = 3y - 2

BC = x + 12

DC = y + 6

AD = 2x - 4

The above means that:

AB = DC

BC = AD

So, we have:

AB = DC

3y -2 = y + 6

Collect like terms

3y - y = 2 + 6

2y = 8

Divide by 2

y = 4

Also, we have:

BC = AD

x + 12 = 2x - 4

Collect like terms

2x - x = 4 + 12

x = 16

The lengths AB and BC are given as:

AB = 3y - 2

BC = x + 12

So, we have:

AB = 3*4 - 2

AB = 10

BC = x + 12

BC =16 + 12

BC = 28

Hence, the lengths of line segments AB and BC are AB = 10; BC = 28

Read more about parallelograms at:

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Answer:

D

Step-by-step explanation:

What is the distance between (-3,-5) and (-3, 2)?

Answers

Answer: 7 units

Step-by-step explanation:

Just plot the numbers, then count the distance between them

What is the sum or difference?
2x^4 +8x^4

Answers

Answer:

10x^4

Step-by-step explanation:

The solution to the given expression is 10x⁴ which represents its sum.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression.

The expression is given in the question, as follows:

2x⁴ + 8x⁴

We have to determine the sum or difference of the given expression.

As per the question, we have

2x⁴ + 8x⁴

Combine the likewise terms in the above expression, and we get

10x⁴

Thus, the solution to the given expression is 10x⁴.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ6

What are the roots of the equation 3x^2-4x+4=0?

Answers

Answer:

[tex]x=\frac{2(1\pm i\sqrt{2} )}{3}[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]√-1 is imaginary number i

Step-by-step explanation:

Step 1: Define

3x² - 4x + 4 = 0

a = 3

b = -4

c = 4

Step 2: Find roots

Substitute:                    [tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4(3)(4)} }{2(3)}[/tex]Simplify:                        [tex]x=\frac{4\pm\sqrt{(-4)^2-4(3)(4)} }{2(3)}[/tex]Evaluate:                       [tex]x=\frac{4\pm\sqrt{16-4(3)(4)} }{2(3)}[/tex]Multiply:                        [tex]x=\frac{4\pm\sqrt{16-48} }{6}[/tex]Subtract:                       [tex]x=\frac{4\pm\sqrt{-32} }{6}[/tex]Factor:                          [tex]x=\frac{4\pm\sqrt{-1} \sqrt{32} }{6}[/tex]Simplify:                       [tex]x=\frac{4\pm4i\sqrt{2} }{6}[/tex]Factor:                          [tex]x=\frac{4(1\pm i\sqrt{2} )}{6}[/tex]Simplify:                       [tex]x=\frac{2(1\pm i\sqrt{2} )}{3}[/tex]

Compare. Select <, >, or=.
6.61? 6.610
The awnser is 6.610

Answers

Answer:

6.61=6.610

Step-by-step explanation:

6.61=6.610

After point we can increase no. Of zero.

whats the answer for this pre algebra equation

1-c+4c-29

Answers

The correct answer is 3c-28. Combine like terms or simplify:)

A Cepheid variable star is a star whose brightness alternately increases and decreases. Suppose that Cephei Joe is a star for which the interval between times of maximum brightness is 5.3 days. Its average brightness is 2.9 and the brightness changes by /- 0.35. Using this data, we can construct a mathematical model for the brightness of Cephei Joe at time t, where t is measured in days:______.B(t)=4.2 +0.45sin(2pit/4.4)
(a) Find the rate of change of the brightness after t days.
(b) Find the rate of increase after one day.

Answers

Answer:

[tex]\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})[/tex]

0.16

Step-by-step explanation:

According to the question the mathematical model should be

[tex]B(t)=2.9+0.35\sin(\dfrac{2\pi t}{5.3})[/tex]

Differentiating with respect to time we get

[tex]B'(t)=0.35\cos(\dfrac{2\pi t}{5.3})\times(\dfrac{2\pi}{5.3})\\\Rightarrow B'(t)=\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})[/tex]

So, the rate of change of brightness after t days is [tex]\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})[/tex]

After 1 day means [tex]t=1[/tex]

[tex]B'(1)=\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi\times 1}{5.3})\\\Rightarrow B'(1)=0.16[/tex]

The rate of increase after one day is 0.16.

A die is rolled twice. Find the chance that the ace (single dot) comes up on one of the two rolls, but not both. Record your answer as a percentage rounded to the nearest tenth of a percent.

Answers

Answer:

13.9%

Step-by-step explanation:

In order to calculate the probability of this happening, we would need to multiply the probability of one of the rolles being an ace with the probability of one of the roles NOT being an ace. Since the probability of rolling an ace is 1/6 (since there is only one ace in a six-sided die) then the probability of NOT rolling an ace is 5/6

[tex]\frac{1}{6} * \frac{5}{6} = \frac{5}{36}[/tex] or 0.1388     multiply by 100 to get percentage value

0.1388 * 100 = 13.9%

Therefore, the probability of getting one ace and one non-ace roll is 13.9%

Find the equation of the line.
6
The line is parallel to y =--x + 1 and passes through the point (-7, -3).
7
The equation of the line is

Answers

Answer:

y = - x - 10

Step-by-step explanation:

y - (- 3) = - (x + 7)

y = - x - 10

3x^2-x=4
please help​

Answers

Answer:

x=1 4/3

Step-by-step explanation:

What is the LMC of 10 and 8

Answers

Answer:

The LCM of 10 and 8 is 40.

Hope I helped :)

Least common multiple would be (LCM) of 8 and 10 is 40.

On his most recent math test, Jeremy answered 48 questions correct out of 80 total questions. Which statement can be made about Jeremy's math test?

Answers

Answer:

Jeremy has gotten more than half of the test's questions correctly.

Step-by-step explanation:

To get half of the questions correctly, Jeremy needed at least 40, and Jeremy got more than 40, meaning he got more than half.

Two-thirds of the fruit in a basket are apples. One-fourth of the apples are green apples. What fraction of the fruit in the basket are green apples?

Answers

Answer:

1/6

Step-by-step explanation:

2/3*1/4

=2/12

=1/6

PLS GIVE BRAINLIEST

First, we need to find the least common denominator. This would be 12. So, our new fractions would be 8/12 and 3/12. We know that 8/12 of the basket are apples, and we need to take away the 3/12 of the green apples. This means there are 5/12 of the red apples.

Hope this helps :)

A plane begins its takeoff at 2:00 P.M. on a 2200-mile flight. After 12.5 hours, the plane arrives at its destination. Explain why there are at least two times during the flight when the speed of the plane is 100 miles per hour.A) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 303 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 303 mi/hr and decelerating from 303 mi/hr.B) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 152 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 152 mi/hr and decelerating from 152 mi/hr.C) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 88 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 88 mi/hr and decelerating from 88 mi/hr.D) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 117 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 117 mi/hr and decelerating from 117 mi/hr.E) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 176 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 176 mi/hr and decelerating from 176 mi/hr.

Answers

Answer:

E) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 176 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 176 mi/hr and decelerating from 176 mi/hr.

Step-by-step explanation:

In this question we have the average velocity v = 2200/12.5

= 176miles/hr

The function Which describes the velocity of a plane is continuous. At point t, f(t) is equal to 176. So by the mean value theorem we arrive at a conclusion that the velocity is going to attain the speed of 100 miles per hour twice. The first time is during acceleration, and the second time is during deceleration. So by this, the answer to this question is option E.

Irene makes 4⅔ cups of pancake batter. She splits the batter into 2 bowls.She mixes blueberries into 2¼ cups of batter and walnuts into the rest of the batter.

Answers

Answer:

You have to find the most simple estimation by finding the nearest whole number, but the actual answer in 2 5/12

[[[click on the image to make bigger]]]

I really need questions 2 and 4 for this!! please ​

Answers

Answer:

It equals pizza 3’5.42 inch

Step-by-step explanation:

If his truck pulls forward with a force of 2,750 newtons and the weight of the trailer pulls backward with a force of 2,790 newtons, which of the following statement is true?
A.
The truck will experience a net force of 2,750 newtons forward.
B.
The forces acting on the truck and trailer are balanced.
C.
The truck and trailer will experience a net force of 40 newtons backward.
D.
The truck and trailer will experience a net force of 40 newtons forward.

Answers

the answer is A. the force will always pull back a lot deals with gravitational pull

Answer:

The answer is c

Step-by-step explanation:

Input in standard form the equation of the given line that passes through (-1,-3) and (2, 1)

Answers

Answer:

y=4/3x-5/3

Step-by-step explanation:

We can use the slope formula, m=(y2-y1)/(x2-1), to find the slope.

1-(-3)/2-(-1)=4/3

We can subsitute now that we have the slope.

y=4/3x+b

-3=4/3(-1)+b

-3+4/3=b

b=-5/3

y=4/3x-5/3

A $250 suede jacket is on sale for 20%off how much should you pay for the jacket

Answers

250 * 0.20 = $50 sale
250 - 50 = $200
You will pay $200 after sale

Answer: $ 200

Step-by-step explanation:250 * 0.20 = $50 sale

250 - 50 = $200

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