Trey wants to take a European vacation in 3 years. He estimates the cost to be $10,000.

About how much must he save monthly in an account that pays 4% interest, compounded monthly, to have enough money for the vacation?

Answers

Answer 1

Answer:

Monthly deposit= $262.062

Step-by-step explanation:

Giving the following information:

Future value= $10,000

Number of periods= 12*3= 36 months

Interest rate= 0.04/12= 0.0033

To calculate the monthly deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (10,000*0.0033) / [(1.0033^36) - 1]

A= $262.062


Related Questions

28 is 12 less than k. k=?

Answers

Answer:

40

Step-by-step explanation:

How many people i helped proves im right

Please help!!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  15

Step-by-step explanation:

Solving for x, we have ...

  [tex]3x+\dfrac{2}{x}-4=2(x+9)-\left(7-\dfrac{1}{x}\right)\\\\3x+\dfrac{2}{x}-4=2x+18-7+\dfrac{1}{x}\\\\\boxed{x+\dfrac{1}{x}=15} \qquad\text{subtract $2x+\dfrac{1}{x}-4$}[/tex]

I don't know what to do.​

Answers

Answer:

the measure of all the angles within a triangle is = 180 degrees.

the two given angle measures are 70 and 90.

90+70= 160 making the remaining angle = 20 degrees

the two triangles are similar to each other, so they have the same angle measurements. making the measure of angle 1 = 20 degrees

In which directions are the vertices translated, as indicated by matrix B?
3 units in the x direction, -2 units in the y direction, 1 unit in the z direction
3 units in the x direction, 3 units in the y direction, 3 unit in the z direction
* 4 units in the x direction, 0 units in the y direction, 2 unit in the z direction
4 units in the x direction, 6 units in the y direction, 5 unit in the z direction

Answers

Answer:

A) 3 units in the x direction, -2 units in the y direction, 1 unit in the z direction

Step-by-step explanation:

Edge2020

Answer: A.) 3 units in the x direction, -2 units in the y direction, 1 unit in the z direction

Step-by-step explanation: edge 2023

What operation do you use to solve for sales taxes?
O addition
O subtraction
O multiplication
O division

Answers

Answer:

multiplication

Step-by-step explanation:

Help please. I will mark brainlist.

Answers

The answer is 10.8 cm!
10.8 is the correct answer

For every 2 girls in Mr Hegarty's class there are 3 boys. What is the ratio of girls to boys in the class?
Give your answer in its simplest form.

Answers

Answer:

2Girls:3Boys

Step-by-step explanation:

gdfgdsfgdsgsdfgdsgdsfgdsfgdsfg

Elwood invested $5,000 in a money market account and has been tracking its progress. He found that after 3 years, the account held $7,100 and after 8 years, the account held $10,350. Use this information to complete the statements. Over the first 3 years, the value of the account increased at ___ over the last 5 years. Over the entire 8 years, the value of the account increased at an average rate of approximately $___ annually.

Answers

Answer:

Given:

Principal= $5,000

After 3 years, Amount= $7,100

After 8 years, Amount= $10,350

Step-by-step explanation:

Interest after 3 years= $7,100- $5,000

                                   =$2,100

Interest in last 5 years= $10,350- $7,100

                                    =$ 3,250

Difference between first 3 years and last 5 years= $3,250- $2,100

                                                                                 =$1,150

Amount= Principal*[tex](1+r/100)^{t}[/tex]

10,350=5000[tex](1+r/100)^{8}[/tex]

[tex]\frac{10350}{5000}[/tex]=[tex](1+r/100)^{8}[/tex]

2.07=[tex](1+r/100)^{8}[/tex]

[tex]2.07^{1/8}[/tex]=1+[tex]\frac{r}{100}[/tex]

1.095-1=[tex]\frac{r}{100}[/tex]

0.095*100=r

r=9.5%

Average rate=[tex]\frac{5000*9.5*1}{100}[/tex]

                    =$475

Answer:

drop down 1 a slower rate per year

drop down 2 670

Step-by-step explanation:

as in three years you get $7100

you take that and subtract it by your starting amount (5000)

7100-5000= 2100

then divide 2100 by the number of years (3)

to get your annual rate of 700$

then you take the 8 year total and subtract it from your 3 year total

10350-7100= 3250

Then divide that by 5 because that how many years it has been

to get the annual rate of 650

making the 5 year rate slower.

The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000

10350-5000= 5350

then take 5350 and divide it by the number of years (8)

you then get you average rate of 668.75

668.75=670

Hope this helps!

Find the number that makes the ratio equivalent to 2:3

Answers

Answer:

i think the answer is 8/12 but im not sure though

Step-by-step explanation:

Answer:

An example of a ratio equivalent that is similar to 2:3 is 4:6.

Step-by-step explanation:

The second number after the : must be divisible 3 based on what it is given.

Please help me solve this

Answers

Answer:

75

Step-by-step explanation:

it will take 3 week for 3×25 and 5 week for 5×15. I hope this helps.

Which company has the highest charge per attendee?

Answers

Answer:

Ben's Bistro

Step-by-step explanation:

They charge $75 an attendee while Alonzo only charges $45 per attendee.

-2 2 the second power

Answers

-4 or -484
if it’s -2 to the 2nd power then it is -4
or if it’s -22 to the 2nd power then it is -484

2.

Select the correct answer.

Which transformation of the parent square root function will result in the given domain and range?

domain: [2,00)

range: (3, 0)

A.

B.

; (b) = (x + 2) + 3

g(x) = (x - 2)2 + 3

h(x) = (x – 3): –

k(x) = (x + 3)} – 2

Oc.

OD.

Reset

Next

Answers

Answer:

I think the correct answer of these qusion is g(x)=(x_2)2+3

Justin plays basketball and scored 1/8 of the 48 points. How many points did he score?

Answers

Just divide 48 by 8 to give 6.

Find the value of x. Give reasons to justify your solution. b ∈ ac, d ∈ fa

Answers

Answer:

x = 27

Step-by-step explanation:

∠ ABD and ∠ BDE are alternate angles and are congruent, then

∠ BDE = 72°

∠ ADB + ∠ BDE + ∠ EDF = 180° ( sum of angles on a straight line ), that is

2x + 72 + 2x = 180

4x + 72 = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

Better Crocker is baking a cake. She needs 2 1/4 cups of sugar and 1 1/2 cups of brown sugar. How much sugar does she need in all?

Answers

Answer:

3 3/4 cups of sugar

Step-by-step explanation:

HURRY . tell me if these equations have 1 solution ,no solution or infinite solutions.
1. 3(x-6)+16=3x-1
2. 7(x-6)+7= 6x-3
3 . 2(x-7)+1=2x-13

Answers

Answer:

basta tirar o x e colocar oque sobrou boa noite espero ter ajudado

I’m learning the same thing

Tyler's brother works in a shoe store. He earns a commission. He makes 2.5% of the amount he sells. Last week he sold $900 worth of shoes. How much was his commission? (step by step explanation please)

Answers

Answer:

22.5

Step-by-step explanation:

multiply 900 by .025 to get 22.5.

When you multiply by a percentage to find an amount, move the decimal place over to the left by 2 places and then multiply by the number (in this case 900). Whatever number you receive is the answer.. :)

Choose the correct graph of the given system of equations. (1 point)
y + 2x = -1
3y – x = 4

Answers

Answer:

y=2x-1

y=x+4/3

Step-by-step explanation:

Write the expanded form of this expression:

18y + 24

Answers

Answer:

I use an app called Cymath to figure these kind of problems out i think it will help get your answer, it goes down step by step to show how it works.

Step-by-step explanation:

This graph shows the amount of charge left on my
computer, c, after I have been awake for h hours.


Enter an equation that
describes the relationship
between c and h.

Submit

Answers

Answer:

c= -20h + 90

Step-by-step explanation:

The equation that  describes the relationship  between c and h is:

[tex]c= -20h + 90[/tex]

We have the graph that shows the amount of charge left on  computer, c, after  h hours.

Let us consider two points (h, c) on the graph

(0,90) and (4.5, 0)

Now the equation of the line passing through two points

[tex]\frac{c-90}{h-0} =\frac{0-90}{4.5-0} \\c-90=-20h\\c=-20h+90[/tex]

So, the equation that  describes the relationship  between c and h is:

[tex]c= -20h + 90[/tex]

Learn more:https://brainly.com/question/16934180

0.1428571428571429 in the simplest form????

Answers

Answer:

0.14 or 0.142

Step-by-step explanation:

Gaby says that is equivalent to . Do you agree or disagree? Explain your thinking.

Answers

Answer:

I do not agree with the student because there is no real solution. Solving the equation only gives possible solutions, but you must check them in the original equation. Checking the solution in the original equation shows that 4 is an extraneous solution.

Step-by-step explanation:

idk if that's the same question i had, but that was the answer for mine. hehehe good luck.

is that on edge?

You work for a carpet company. You sell carpets at these prices: 100 square feet for $67, 200 square feet for $130, 400 square feet for $240, and 800 square feet for $504. What is the best deal for buying carpet?
A.
100 square feet of carpet for $67
B.
200 square feet of carpet for $130
C.
400 square feet of carpet for $240
D.
800 square feet of carpet for $504

Answers

Answer:

Step-by-step explanation:

first one : 67/100 = .67 per sq feet

Second one: 130/200 = .65 per sq feet

Third one 240/400 = .6 per sq feet

Fourth one: 504/800 .63 per sq feet

so C is the best deal (C.

400 square feet of carpet for $240)

The hypotenuse of a right angled triangle is 10cm and one of the other two sides is 6cm.Find the length of third side?



7 cm


8 cm


5 cm


13 cm

Answers

The answer is 8

Its simple. Just do it using pythagorus theorem formula and take the other side as x .
Then just find x

Thanks. Hope it helps.

HEYYYY GUYYYSSS HELPP MEEE, ILL MARK YOU BRAINIEST. PLEEEAAASEEEE

Answers

Answer:

C = 100 + 40n

The independent variable is n (number of months) and the dependent variable is C ( total cost)

Step-by-step explanation:

Let the total cost of the fitness center = C

Given fixed cost = $100

given cost per month = $40

let number of month = n

The total cost of the fitness center in a given 'n' month is calculated as;

C = 100 + 40n

From the above equation;

the independent variable is n (number of months) and

the dependent variable is C ( total cost)

C = 100 + 40n The independent variable is n (number of months) and the dependent variable is C ( total cost)

8.3 + 3.5y − 0.5(16y − 5)

Answers

The correct answer would be in the photo below

Solve for x. Of the triangle

Answers

Answer:

9

Step-by-step explanation:

The total measure of a triagles angle is 180. First do 180-60-75. You should get 45. Next you do 45/5 and you get 9 which is your x value.

helpppppppppppppppppppppppppp

Answers

Answer:

um

Step-by-step explanation:

hehhhhhhhhhhhhhhhhhhhhhhhh

what is (–5) 2 and how do i solve

Answers

Answer:

(−5)2

Multiply −5 and 2 to get −10.

−10

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