Having just turned 16 years old, your friend has their mind set on buying a new car by the time they turn 20 years old. They can afford to save $440 per month. They place the money into an annuity that pays 5.5% per year, compounded monthly. How much will they have to spend on a car after 4 years?

Answers

Answer 1

Answer:

$26,179.82  

Step-by-step explanation:

FVA = PMT * n * (1 + i) ^ (n - 1)

FVA = 440 * 48* (1.00458)^(47)


Related Questions

The weights of a certain brand of candies are normally distributed with a mean weight of 0.8593 g and a standard deviation of 0.0511 g. A sample of these candies came from a package containing 464 ​candies, and the package label stated that the net weight is 396.1 g.​ (If every package has 464 ​candies, the mean weight of the candies must exceed 396.1 464=0.8537 g for the net contents to weigh at least 396.1 ​g.)

Answers

Answer:

The package label stated that the net weight is 381.8g If every package has ... brand of candies have a mean weight of 0.8616g and a standard deviation of ...

Find the perimeter and area of this polygon.

Answers

Answer:

perimeter=114

AREA= 308

Step-by-step explanation:

A^2 + B^2=C^2

then A+B=+C= P for triangle

52= triangle perimeter

rectangle:

(l+w)*2=p for rectangle=62

then add 52+62= 114

AREA- Triangle

b*h/2

22*10=220

220/2

= 110

AREA- Rectangle

l*w=A

22*9=198

ADD BOTH AREAS

198+110=308

HOPE IT HELPS

Mike Jones bought a new split-level home for $150,000 with 20% down. He decided to use Victory Bank for his mortgage. They were offering for 25-year mortgages. Provide Mike with an amortization schedule for two periods. (Use Table 15.1(b)). (Do not round intermediate calculations. Round your answers to the nearest cent.) Payment number Portion to— Balance of loan Interest Principal outstanding 1 2

Answers

Given:-

Value of Home = $150000

Down payment = 20% of $150000 = $30000

Loan Amount = $150000 - $30000 = $120000

Interest on Loan = 13.3/4% or 13.75%

Duration of Loan = 25Year

Calculation:-

Interest per month = 13.75%/12 =0.0114583333333333 % or 0.011458%

No. of months payment required = 25 years x 12 Months = 300 Months

To Calculated the monthly mortgage payment:-

The formula is M = P*i*(1 + i)^n/(1+i)^n – 1

Where M is monthly payment of Mortgage

P = principal amount of Loan = $120000

i = interest per month = 0.011458%

n=duration of loan in months = 300 months

When we apply the formula:

M = $120000*[0.011458*(1+0.011458)^300/(1+0.011458)^300-1]

= $120000*[0.011458*(1.011458)^300/(1.011458)^300-1]

=$120000*[0.011458*30.50697/30.5067-1]

=$120000*[0.011458*30.50697/29.50697]

=$120000*[0.349559/29.50697]

=$120000*0.011847 =$1421.60

So,Morgage payment Per month $1421.60

Period 1

Interest for 1st period = $120000 x0. 011458 = $1374.96

Pricipal Amount paid = $1421.60 -$1374.96 =$46.64

Balance in Principal amount = $120000-$46.64 =$119953.36

Period 2

Interest for 1st period = $119953.36 x0. 011458 =$1374.43

Pricipal Amount paid = $1421.60 -$1374.43 =$47.17

Balance in Principal amount = $119953.36 - $47.17 =$119906.19


8 x 10*-3
is how many times as great as 4 x 10*-6?
2 x10*3
2 x 10 *9

2 x 10 *-9

2 x 10-*_•-3

Answers

Answer:

[tex]\huge\boxed{2\times10^3}[/tex]

Step-by-step explanation:

[tex](8\times10^{-3})\div(4\times10^{-6})=\dfrac{8\times10^{-3}}{4\times10^{-6}}=\dfrac{8}{4}\times10^{-3-(-6)}=2\times10^{-3+6}=2\times10^3[/tex]

Used:

[tex]\dfrac{a^n}{a^m}=a^{n-m}\ \text{for}\ a\neq0[/tex]

The sum of two numbers is 30. Their difference is 12. Use substitution to solve a system of equations to solve for the two numbers.

Answers

Answer:

9 and 21

Step-by-step explanation:

setting up the equation

let x and y represent the two numbers

this means that x + y = 30

x - y = 12

using substitution to solve

if x - y = 12, that can be rearranged to x = y + 12.

substitute x = y + 12 into x + y = 30

you get (y + 12) + y = 30

simplify

2y + 12 = 30

2y = 18

y = 9

plug this into the original equation x + y = 30. this would be

x + 9 = 30

x = 21

the numbers are 21 and 9.

Can someone help me??

Answers

Answer:

The answer is B

Step-by-step explanation:

The answer is b
Explanation

Enter the number that belongs in the green box

Answers

Answer:

128 degrees

Step-by-step explanation:

Opposite interior angles

35 devide 28 with decimals pls help ​

Answers

Answer:

1.25

Step-by-step explanation:

The answer in decimal is 1.25

35/28= 1.25

= 35 ÷ 28

by 1

=35 - 28 = 7

Introducing decimals

= 70 to 28

by 2

= 70 - 56 = 14

adding zero to 14

= 140 to 28

by 5

= 140 - 140 =0

the answer is 1.25

I did it this way through division hope you'll understand. All the best.

What is the value of y?

Answers

Answer:

80° because 50° 60° 70° and 80°

There is 60% chance that it will rain today. If it rains, the probability of watching a movie is 0.5. But, if it does not rain then the probability of watching a movie is 0.3. What is the probability of watching a movie today?​

Answers

Applying the given probabilities, it is found that there is a 0.42 = 42% probability of watching a movie today.

These following probabilities involve a movie being watched today:

0.5 of 0.6(if it rains today).0.3 of 1 - 0.6 = 0.4(if it does not rain today).

Hence, adding them:

[tex]p = 0.5(0.6) + 0.3(0.4) = 0.3 + 0.12 = 0.42[/tex]

0.42 = 42% probability of watching a movie today.

A similar problem is given at https://brainly.com/question/14398287

I need help with this please​

Answers

Answer:

I’m not sure what that means but I think it’s the one with the blue

Step-by-step explanation:

which of the following points does not lie on the graph of y=1/2x+3?
A. (10,8)
B. (-2,2)
c. ( 0,3)
d. (-6,-3)

Answers

Answer:

B

Step-by-step explanation:

What is the x-value of the vertex of f(x) = -x2 + 9x - 11 ?

Answers

Answer:

I believe it would be 9/2 !

Step-by-step explanation:

Which expression is equivalent to w • 35?

Answers

Answer:W= B-3 or 3=B-W

Step-by-step explanation:

The answer would be equal to W=b-3 +W=b

Prime number after

167, 118, 82, 57, 41, ?

Answers

Prime numbers after 167, 118, 82, 57, 41, are:

37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2

Prime numbers are numbers that only have two factors, 1, and themselves.

Apart from these factors, no number can divide them without a remainder.

By observation, the numbers 167, 118, 83, 57, 41, are written in descending order.

This means that the prime number to be chosen will be lesser than 41

Prime numbers lesser than 41 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37

Learn more on prime numbers here: https://brainly.com/question/145452

Estimate the product of 54 X 68.​

Answers

Answer:

54 X 68=3672

Step-by-step explanation:

Consider the sequence: -7, -2, 3, 8…. What is f(7)?

Answers

You are adding by 5 in the sequence.
If f(1) is -7
f(2) = -2
f(3)= 3
f(4)=8
f(5)=13
f(6)=18
Therefore, f(7)=23

Mary works at a local Burger King restaurant. Her regular hourly wage is $14.70. If she works overtime, she
receives an hourly rate of 14 times her regular hourly rate. If she regularly works 40 hours per week with no
overtime, what is her regular weekly pay?

$882

$2.94

$588

$294

Answers

Answer:

I’m pretty sure it’s 588

Step-by-step explanation:

14.70 * 40 = 588

-2(4x-6)=6-6x help me

Answers

Answer:

x=3

Step-by-step explanation:

you have to move the terms collect like terms and divide both sides and down load photo math that helps alot with giving answers

Which term of the AP 21, 18, 15 ...... is -81 ?​

Answers

Given AP is 21 ,18,15,...

First term = 21

Common difference = 18-21 = -3

Let an = -81

We know that

an = a+(n-1)d

⇛21+(n-1)(-3) = -81

⇛ 21-3n+3 = -81

⇛24-3n = -81

⇛ 24+81 = 3n

⇛ 105= 3n

⇛ n = 105/3

⇛ n = 35

35th term of the AP is -81.

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John is selling sets of knives and makes a 10% commission on all sales. What would his commission be on the sale of a $3250 set of knives?

Answers

10% of $3250 would be $325 of commission

ANSWER FOR BRAINIEST!!!

How do you answer this and what did I do incorrectly?

Answers

Answer:

x=5[tex]\frac{16}{3}[/tex]/(4-[tex]\frac{16}{3}[/tex])

Step-by-step explanation:

Hi, these are not my strong point, Sorry if its incorrect.

6-[tex]\frac{2}{3}[/tex](x+5)=4x

I first did 6-[tex]\frac{2}{3}[/tex]

6/1 -2/3,  18/3-2/3 =16/3

[tex]\frac{16}{3}[/tex](x+5)=4x

I then expanded the bracket to get [tex]\frac{16}{3}[/tex]x+5[tex]\frac{16}{3}[/tex]

[tex]\frac{16}{3}[/tex]x+5[tex]\frac{16}{3}[/tex]=4x

Then I took away [tex]\frac{16}{3}[/tex]x from both sides to get.

5[tex]\frac{16}{3}[/tex]=4x-[tex]\frac{16}{3}[/tex]x

I then factorised x out

5[tex]\frac{16}{3}[/tex]=x(4-[tex]\frac{16}{3}[/tex])

I then divided by the bracket to get:

x=5[tex]\frac{16}{3}[/tex]/(4-[tex]\frac{16}{3}[/tex])

Answer:

4/7

Step-by-step explanation:

[tex]6 - \frac{2}{3} (x + 5) = 4x[/tex]

U take -2/3 into the brackets

[tex]6 - \frac{2}{3} x - \frac{10}{3} = 4x[/tex]

Put all values with x on one side

[tex]6 - \frac{10}{3} = 4x + \frac{2}{3} x[/tex]

Ensure that they all have the same denominator so that u can add and subtract

[tex] \frac{18}{3} - \frac{10}{3} = \frac{12}{3} x + \frac{2}{3} x[/tex]

[tex] \frac{8}{3} = \frac{14}{3} x[/tex]

Drop the denominator since they both have the same denominator

[tex]8 = 14x[/tex]

divide both sides by 14

[tex] \frac{8}{14} = \frac{14}{14} x[/tex]

[tex]x = \frac{4}{7} [/tex]

Select all that apply.
Zack is taking a test in which he answers questions at a rate of question per minute. If Q represents questions and
M represents minutes, which of the following equations describe this rate relationship?
M= 20 x Q
Q = 2 x M
M=1/2 x Q
Q=1/2 x M

Answers

The equation Q = 2 x M represents the relationship between question and time.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Zack takes a test, in which he answers at rate of 2 question per minute.

Also, Q represents questions

And M represents minutes.

According to given condition,

In 1 minute, Zack answers 2 question,

In M minutes, Zack answers 2 x M question,

Total questions presented by Q,

Q = 2 x M.

The required relationship for M and Q is Q = 2 x M.

To know more about Equation on:

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(Brainliest question) Which type of study best describes the following research most likely to be done? A researcher is trying to determine the effects of animal habitats and animal populations after forest fires. So she visits places that have had a naturally occurring Forest fire to study the area.


Experimental study

Observational study

Simulation study

Double blind study

Answers

Answer:

Observational study

Step-by-step explanation:

See the researcher visits the forest.She want to experience or observe the forest fire.She want to observe how it affects the animals.Hence it's observational study

A traffic study determined that a larger city population indicates a
longer commute time for drivers. What can we say from this
information?

Answers

Answer:

There must he a circulation. May not be causation.

I need help with pre calculus.

Answers

Question 1

Answer:  Choice A) -7

-----------------

Explanation:

To compute f(g(2)), we'll first need to find g(2).

Locate 2 in the x row. Then read straight down until you get to the g(x) row. You should find that g(2) = 4

This means f(g(2)) becomes f(4). We then repeat the same process as before. Locate 4 in the x row, read straight down til you get to the f(x) row to find that f(4) =  -9

Overall, we can say f(g(2)) = -9

We do the same set of steps to compute g(f(-1)). You should find that f(-1) = -1 and g(f(-1)) = g(-1) = -2

Lastly, we subtract the results we got:  

f(g(2)) - g(f(-1)) = -9 - (-2) = -9+2 = -7

==============================================

Question 2

Answer: Choice B)  0

-----------------

Explanation:

If you were to graph each equation, you should get what you see below.

The red and blue curves do not intersect in any way. We need an intersection point to have a solution. Because there are no intersections, we don't have any solutions. The system is considered inconsistent.

==============================================

Question 3

Answer: Choice B[tex]-2x^2+250x-2000[/tex]

-----------------

Explanation:

x = number of scooters made and sold

Each scooter costs $150 to make. If you made x of them, then it costs 150x dollars. Then tack on the fixed cost of $2000 to get the expression [tex]150x+2000[/tex]

The cost function is [tex]C(x) = 150x+2000[/tex]. We'll subtract this from the revenue function R(x) to get the profit P(x)

[tex]\text{Profit} = \text{Revenue} - \text{Cost}\\\\P(x) = R(x) - C(x)\\\\P(x) = (400x-2x^2) - (150x+2000)\\\\P(x) = 400x-2x^2-150x-2000\\\\P(x) = -2x^2+250x-2000\\\\[/tex]

==============================================

Question 4

Answer: Choice B

[tex]\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}[/tex]

-----------------

Explanation:

[tex]g(x) = \frac{1}{x+1}\\\\g(f(x)) = \frac{1}{f(x)+1}\\\\g(f(x)) = \frac{1}{x^2+x-3+1}\\\\g(f(x)) = \frac{1}{x^2+x-2}\\\\g(f(x)) = \frac{1}{(x+2)(x-1)}\\\\(g\circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\[/tex]

I started with the outer function g(x) and replaced each x with f(x) in the second step. Then I plugged in f(x) = x^2+x-3 and simplified. Factoring the denominator is helpful to determine where the denominator becomes zero. Specifically, it happens when x = -2 and x = 1. These x values must be kicked out of the domain to avoid a division by zero error.

So we start off with the real number line, and poke holes at x = -2 and x = 1.

The notation [tex]x \in \mathbb{R}[/tex] means x is a real number. Then we tack on [tex]x \ne -2, x \ne 1[/tex]

Overall, the domain is [tex]\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}[/tex]

Let's see what happens if we tried plugging x = -1 into this composite function:

[tex](g \circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\(g \circ f)(-1) = \frac{1}{(-1+2)(-1-1)}\\\\(g \circ f)(-1) = \frac{1}{(1)(-2)}\\\\(g \circ f)(-1) = \frac{1}{-2}\\\\(g \circ f)(-1) = -0.5\\\\[/tex]

We don't get a division by zero error, so x = -1 is allowed. The same can be said about any other x value as long as it's not -2 and not 1 either.

What is the constant of proportionality in xy-11=5?

Answers

Answer:

xy-11=5

ANSWER:

=16

Step-by-step explanation:

hope it helps to you

mark me as a brainlest please

Which ordered pair is in the solution set of 3x − 2y ≥ -1?​​​
F.(-2, -2.5)
G.(-1, 1)
H.(2, 4)
J.(1, 2.5)

Answers

Answer:

G

Step-by-step explanation:

Therefore, the option [tex]G(-1,1)[/tex] is correct.

What is the inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here given inequality equation

[tex]3x- 2y \geq -1[/tex]

When the points [tex](-1,1)[/tex] so it would be

[tex]3(-1)-2(1)\geq -1\\\\-3-2\geq -1\\\\-5\geq -1[/tex]

Hence, the option [tex]G(-1,1)[/tex] is correct.

To know more about the inequality

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Maxden wanted to measure the length of the objects below.
For each one circle which unit of measurement he should use.

A. His puppy

Inches or Yards

B. A toy car

Yards or Centimeters


C. Width of his desk

Yards or Feet


D. His foot

Inches or Yards

Answers

A : inches
B : centimeters
C: feet
D: inches

The owner of a retail store is tracking his inventory for an annual report. The graph shows the remaining inventory for a particular item and the number of days that have passed since the stock was replenished. Which type of function best models the relationship between the number of days and the inventory remaining? A. a linear function with negative slopes

Answers

y = -2.8x +69.4

Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:
... y -y1 = (y2-y1)/(x2 -x1)(x -x1)
Filling in the given point values, we have ...
... y -61 = (33 -61)/(13 -3)(x -3)
Simplifying and adding 61, we get ...
... y = -2.8x +69.4
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