You want to have $31,664 in cash to buy a car in 4 years. you expect to earn 11.5% per year on your savings. how much do you need to deposit today if this is the only money you save for this purpose?

Answers

Answer 1

You would need to deposit approximately $20,701.27 today if this is the only money you save for the purpose of buying a car in 4 years, considering an expected annual interest rate of 11.5%.

We have,

To determine how much you need to deposit today, we can use the concept of present value (PV).

The present value represents the current value of a future cash flow, accounting for the time value of money and the expected interest rate.

In this case, you want to have $31,664 in cash in 4 years, and you expect to earn an annual interest rate of 11.5%.

Let's calculate the present value using the following formula:

[tex]PV = FV / (1 + r)^n[/tex]

where PV is the present value, FV is the future value, r is the interest rate per period, and n is the number of periods.

Plugging in the values, we have:

[tex]PV = $31,664 / (1 + 0.115)^4[/tex]

Calculating this equation, we find:

[tex]PV = $31,664 / (1.115)^4[/tex]

= $31,664 / 1.530749

PV ≈ $20,701.27

Therefore,

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Related Questions

Divide. 3.2 ÷ 0.8 help me e pleaseeeeeeeeeeee !!!!!!

Answers

[tex] \frac{3.2}{0.8} = \frac{32}{8} = \frac{4\times 8}{8} = 4[/tex]

The answer is 4. simply move the deimal to create 8 and 32. this gives you 4 or 0.4

A sample of cigarette smoke contains 2.09% carbon monoxide. the u.s. national ambient air quality standard for co in a 1−hr period is 35 ppm. how many times greater than this standard is the co concentration in cigarette smoke?

Answers

For a gas, 35 ppm means that there are 35 units of carbon monoxide in a totla of 1,000,000 units of gas in total. This is equivalent to: 35/1,000,000 = 3.5 x 10^-5.

The actual sample, which has 2.09%, can also be written as 0.0209. Then we divide 0.0209 / 3.5 x 10^-5, which gives 597.14. So the sample of cigarette smoke has CO concentration nearly 600 times more than the standard allows.

Please completely factor the following expression. e. 3x^2+5xy-2y^2

Answers

3x^2 + 5xy - 2y^2

Simplifying:

3x^2 + 5xy + - 2y^2

Reorder Terms:
5xy +3x^2 + - 2y^2

Factor a Trinomial.
(3x + - 1y)(x + 2y)

Final Result:
(3x + - 1y)(x + 2y)

Hope this helps!!!

How many pounds must a sand bag weigh to test if a safety net can absorb the proper amount of force?

Answers

its 400lbs
hope i helped

Final answer:

To test if a safety net can absorb the proper amount of force, you would need to determine the weight of the sand bag. This can be done by using the concept of Newton's second law and calculating the mass of the sand bag using the equation F = mg, where F is the force required and g is the acceleration due to gravity.

Explanation:

To test if a safety net can absorb the proper amount of force, you would need to determine the weight of the sand bag. This can be done by using the concept of Newton's second law, which states that force equals mass times acceleration. You would first need to calculate the acceleration of the sand bag using the formula F = ma, where F is the force required to be absorbed by the safety net and a is the acceleration. Once you know the required force and acceleration, you can calculate the mass of the sand bag using the equation F = mg, where g is the acceleration due to gravity (approximately 9.8 m/s²).

For example, if the required force is 500 N and the acceleration is 5 m/s², you would calculate the mass of the sand bag as follows:

F = ma

500 N = m * 5 m/s²

m = 500 N / 5 m/s²

m = 100 kg

Therefore, the sand bag must weigh 100 kilograms (or approximately 220 pounds) to test if the safety net can absorb the proper amount of force.

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In a sale Gameboys are reduced by two-fifths. What is the sale price if the original price was $50.00?
(PS: Please write how you got the answer)

Answers

Two-fifths equals 0.4 or 40 percent off, this will help us later. So if the Gameboy was $50.00, then two-fifths off of that or 40 percent would mean that the Gameboy sale price is now $20.00. Quite a steal if you ask me! Multiply the decimal by the original price to find the new sale price for the future. Hope I helped! :)

You would divide $50 by 2/5 which equals $5

So, the Gameboys were sold for $5

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Find the specified vector or scalar.

u = -4i + 1j and v = 4i + 1j; Find ||u+v||

a. sqrt32

b. 2

c. 5

d. 8

Answers

[tex]\bf \begin{cases} u=-4i+1j\implies & \ \textless \ -4,1\ \textgreater \ \\ v=4i+1j\implies &\ \textless \ 4,1\ \textgreater \ \end{cases}\qquad u+v\implies \ \textless \ -4,1\ \textgreater \ +\ \textless \ 4,1\ \textgreater \ \\\\\\ \ \textless \ -4+4~,~1+1\ \textgreater \ \implies \ \textless \ 0,2\ \textgreater \ \\\\ -------------------------------\\\\ \stackrel{magnitude}{||u+v||}\implies \sqrt{0^2+2^2}\implies 2[/tex]

the slope of the line passing through (-9,-6) and (-15,y) is 2/3. what is the value of y

Answers

The value of y is -10

Sir, please show your work

What is the mean of the data set?

10, 15, 14, 8, 18, 11, 12, 12, 10, 10, 17, 16

12.00

12.25

12.75

15.50

Answers

The answer is 17.75 :D
I just had this question on a test and that's the answer!!!
u just add then all together and divide them by how any numbers there are!!
10 + 15 + 14 + 8 + 18 + 11 + 12 + 12 + 10 + 10 + 17 + 16 = 153/12 = 12.75

Answer:

the answer is 12.75

Step-by-step explanation:

btw if you need the median is 12 :>

Assume you have a poker chip set containing blue, red, and white chips, all of the same size. you place 15 blue chips, 10 red chips, and 25 white chips in a bag. as you are about to randomly draw a chip from the bag, you bet your friend you will pick a red chip from the bag because you feel that red is your lucky color.

Answers

Is the question what is the probability that you draw a red chip? If it is, the answer is 10/50, which can be simplified to 1/5, 0.2 or 20%.

Kieran is making a birthday card with construction paper. He wants to cut a circle out of a square piece of construction paper. The circle will have a radius of 6 inches. In square inches, what is the area of the smallest piece of construction paper Kieran could use?

Answers

when cutting a circle from a square piece of paper, to use the minimum piece of square paper, midpoints of the edges of the square should be touching the edges of the circle.
For this the length of the square paper should be equal to the diameter of the circle.
If so the the area of the square piece of paper needed;
area = length * length
length of the square = diameter of the circle
diameter = 2 radii
= 2 * 6 inches
= 12 inches
Therefore length of square = 12 inches
area of the square = 12 inches * 12 inches
= 144 sq.inches

hello, Can someone please help me with this math problem? thanks!

Answers

I believe it's A) because the conjugate of any number is basically inverted signs when multiplying a binomial, so [-2 - √b][-2 + √b]. It's A).

The length of a rectangle is 7 m less than triple the width. if w represents the width, write an expression for the length, l. question 13 options:

Answers

EHDGFSYGEVA‰ wetywrty

in the following figure find a deg,2adeg and bdeg

Answers

From the figure. a and b are equal because the lines are parallel. The jargon is alternate interior angles are equal.

The two remote interior angles are equal to the exterior angle. That interprets to
b + 2a = 84o But b = a
a + 2a = 84o
3a = 84
a = 84/3
a = 28 <<<< answer
b = 28 <<<< answer
2a = 56 <<<< answer.

A basketball player practices free throws by shooting 50 free throws a day. she records the number of free throws made each day. her number of free throws made is normally distributed with a mean = 34 free throws and standard deviation = 5 free throws. using appropriate rule learned in lesson 10, approximately what percent of the days does she make less than 29 free throws?

Answers

46 percent on free throws

Answer: 46%

Step-by-step explanation:

Megan buys 3 bracelets and 3 necklaces. Each bracelet costs 5. Megan pays on 40 and gets 4 change. what is the cost of one necklace?

Answers

The necklaces cost $3 each.

40-4=36 <-- that's how much she spent.
3x5=15 <-- that's how much the bracelets cost
36-15=21 <-- that's how much she had left over
21/3=7 <-- that's how much one necklace costs

One necklace costs $7.

What is the solution of the system?

Use the elimination method.

4x+2y=18
2x+3y=15

Answers

{4x+2y=18
{2x+3y=15 -divide both sides by -2
-2x-y=-9
2x+3y=15
-sum the equations vertically to
eliminate at least one variable
2y=6 divide both sides of the equation
by 2
y=3
-substitute the given value of y into the simplest equation
2x+3*3=15
-solve for x
x=3
-the solution of the system is the ordered pair (x,y)
(x,y)= (3,3)
Check √
-check if the given ordered pair is a solution of the system of equations
{4*3+2*3=18
{2*3+3*3=15
simplify the inequalities
{18=18
{15=15
-since all of the equalities are true the ordered pair is the solution of the system

Answer:

-divide both sides by -2

-2x-y=-9

2x+3y=15

-sum the equations vertically to

eliminate at least one variable

2y=6 divide both sides of the equation

by 2

y=3

-substitute the given value of y into the simplest equation

2x+3*3=15

-solve for x

x=3

-the solution of the system is the ordered pair (x,y)

(x,y)= (3,3)

Check √

-check if the given ordered pair is a solution of the system of equations

{4*3+2*3=18

{2*3+3*3=15

simplify the inequalities

{18=18

{15=15

-since all of the equalities are true the ordered pair is the solution of the system

Step-by-step explanation:

Read the statement, and identify the expressions that are equivalent. the product of a number minus 17 and 5

Answers

Answer:

The expressions equivalent to 'the product of a number minus 17 and 5' are (n - 17) x 5 and 5(n - 17), where n is the unknown number. These cannot be simplified further without additional information.

Step-by-step explanation:

The statement 'the product of a number minus 17 and 5' can be translated into an algebraic expression. This expression would look like (n - 17) × 5 or 5(n - 17), where n represents the unknown number. Both expressions are equivalent and represent the same mathematical operation.

When simplifying algebraic expressions, it is important to eliminate terms wherever possible to get a more straightforward expression. However, in this case, since we don't have a specific value for n, we cannot simplify the expression further without additional information.

Always remember to check your answer to ensure that the expression makes sense and is reasonable within the context of the problem.

1/3 equivalent first 2 fractions

Answers

Hey there!

1/3 is equivalent to 2/6
Here is why:

1 x 2 = 2
3 x 2 = 6
You can do this by cross multiplying 1/3 and 2/6
That's how you get 2/6 as an equivalent fraction.

1/3 is also equivalent to 3/9
Here is why:
3 x 1 = 3
3 x 3 =9
You can also do this by cross multiplying 1/3 and 3/9
That's how you get 3/9 as an equivalent fraction.

There are also many other fractions that are equal to 1/3, but these are the first two.

Hope this helps you.
Have a great day!

A rancher wants to fence in a rectangular area of 14900 square feet in a field and then divide the region in half with a fence down the middle parallel to one side. What is the smallest length of fencing that will be required to do this?

Answers

Suppose the length of the fence perpendicular to the central partition is x. Then the total length of the fence (L) for enclosed area A is
.. L = 2x +3*A/x
The derivative of this with respect to x is
.. L' = 2 -3A/x²
L will be minimized when this is zero.
.. 0 = 2 -3A/x²
.. x² = 3A/2
.. x = √(3A/2)

For this value of x, the total length of fence is
.. L = 2√(3A/2) -3A/√(3A/2)
.. L = 4√(3A/2) = 2√(6A)

For this problem, A = 14,900 ft², so
.. L = 2√(6*14,900 ft²) ≈ 597.997 ft

The smallest length of fence required to fence the rectangular area is 598 ft.

Prudence has 20 pairs of gold earrings and 4 pairs of silver earrings in a drawer in her jewelry box. If she randomly pulls six pairs of earrings out of the drawer to take with her on a trip, which of the following is the best prediction of the number of pairs of earrings that will be gold?

Answers

Final answer:

The best prediction of the number of gold earrings Prudence will pull out is 5 pairs.

Explanation:

To predict the number of pairs of gold earrings Prudence will randomly pull out of her drawer, we need to find the probability of selecting gold earrings from the total number of options.

Prudence has 20 pairs of gold earrings and 4 pairs of silver earrings, making a total of 24 pairs of earrings in her drawer.

The probability of selecting a gold earring is given by:

Number of gold earrings / Total number of earrings = 20 / 24= 5 / 6.

Therefore, the best prediction of the number of pairs of earrings that will be gold is 5 pairs.

Jordan had $10.00 if each drawing pen costs $1.49, how many can he buy

Answers

He can by 6 pens. 6.7 to be exact.

Hope this helps!!

Hey there!

To solve this, you can multiply different numbers with 1.49 til you get 10.00 or very close to 10.00.

1.49 x 2 = 2.98 (that's too small)

1.49 x 3 = 4.47 (that's also too small)

1.49 x 4 = 5.96 (again, too small)

1.49 x 5 = 7.45 (close, but still not exactly 10 or close enough)

1.49 x 6 = 8.94 (correct answer)

It wouldn't be 7 because 1.49 x 7 = 10.43 and Jordan will not have enough money.

Final answer:
Jordan can buy 6 pens <-----

Hope this helps you.
Have a great day!

What is the best measure of the center for the data set: 2,2,2,4,4,5,5,5,7,7,15,17

Answers

5,5 are in the middle. So it is 5+5\2 which is 10\2 which is 5

Kate ran 6 miles. How far did she run in kilometers?

Answers

Final answer:

Kate ran approximately 9.66 kilometers after converting her distance run in miles to kilometers using the conversion factor of 1 mile equaling 1.60934 kilometers.

Explanation:

Kate ran 6 miles and we need to convert that distance into kilometers. To do this, we use the conversion factor that 1 mile is approximately equivalent to 1.60934 kilometers. By multiplying 6 miles by this conversion factor, we get:

6 miles × 1.60934 km/mile = 9.65604 kilometers

So, from the above calculation Kate ran roughly 9.66 kilometers, considering we usually round the result to two decimal places when dealing with distances unless high precision is required.

Based on each applicant’s median credit score, to which client is Rachel likely to offer the best interest rates? a. Leslie b. Pat c. Sam d. Alex

Answers

Alex I think. it needs more information in it

Just got this question in a practice test on Edge. The answer is definitely Alex, or D.

which of the following expressions is equivalent to the expression below ?

Answers

The correct answer is C

The circumference of a circle is 31.4 inches. What is the circle's diameter? C=31.4 in Use 3.14 for .

Answers

We will use the circumference formula to find the radius and then multiply it by 2 to find the diameter.

C = 2πr
31.4 = (2)(3.14)(r)
31.4 = 6.28r
5 = r

So our radius is 5 in.

We can multiply it by 2 to get the diameter.

5*2 = 10

So the diameter is 10 inches

49.3
this can be calc for a form

What is the a-value of the function, then determine if the graph opening up or down f(x)=−5(x+7)2+6?

Question 4 options:

a = -5, opens down

a = -5, opens up

a = 7, opens up

a = 7, opens down

Answers

we know that
the equation of the vertical parabola in the vertex form is
y=a(x-h)²+k
where
(h,k) is the vertex of the parabola
if a> 0 then
the parabola opens upwards

if a< 0
then the parabola open downwards

in this problem we have
f(x)=−5(x+7)²+6
a=-5
so
a< 0 -------> the parabola open downwards

the vertex is the point (-7,6) is a maximum

the answer is the option
a = -5, opens down

see the attached figure

Answer:
a = -5, opens down

Explanation:
The general form of the quadratic equation is:
f(x) = a(x-h)² + k where (h,k) is the vertex of the parabola.

The value of the "a" determines whether the parabola is open upwards or downwards:
1- if the value of "a" is positive, this means that parabola opens upwards
2- if the value of "a" is negative, this means that the parabola opens downwards

Now, for the given:
f(x) = -5(x+7)² + 6
By comparison, we can note that:
a = -5
The value of "a" is negative which means that the parabola opens down.

The attached image shows the graph of the given function

Hope this helps :)

What is the value of z in the equation 5z − 9 = 36?

4
5
6
9

Answers

You answer is 9.
5 x 9 = 45
45 - 9 = 36

In this question, you have to solve the equation.

5z – 9 = 36

You transpose the 9 to other side so the equation would look like this:

5z = 36 + 9

5z = 45

Divide 5 in both sides to solve the value of z:

z = 9

The expression 52x – 169 is equivalent to 13

Answers

4x - 13 it is the last answer choice

Solve log2 ( x - 1 ) + log2 ( x + 1 ) = 3

check answers are in domain

Answers

The answer is x=3, It doesn't have any domain restrictions, Therefore it covers all real numbers x∈R

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