MATHEMATICS MIDDLE SCHOOL

You decide to put $2000 in a savings account to save for a $3000 down payment on a new car. If the account has an interest rate of 4% per year and is compounded monthly, how long does it take until you have $3000 without depositing any additional funds?

Answers

Answer 1

Answer:

Answer:

$t=10.2\ years$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+(r)/(n))^(nt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=?\ years\nP=\$2,000\nA=\$3,000\n r=0.04\nn=12$

substitute in the formula above

$3,000=2,000(1+(0.04)/(12))^(12t)$

$1.5=((12.04)/(12)})^(12t)$

Applying log both sides

$log(1.5)=log[((12.04)/(12)})^(12t)]$

$log(1.5)=(12t)log((12.04)/(12))$

$t=log(1.5)/[(12)log((12.04)/(12))]$

$t=10.2\ years$

Related Questions

Please help me with the area one
Marta walked 3.9 miles per hour for .72. How far did she walk
If 2/3=x/12 what is the value of x 481824
Can you please help me with this please tell me how you got your anserw click on the pdf
You buy 12 pencils for $15.36 find the unit price in dollars per pencil

The length of a rectangular prism is 8height : 1
surface area:250

what is volume and width

Answers

Surface area is:

$W=width$
$L=length$
$H=height$

$S=2*(L*W+L*H+W*H)$

replacing the values

$250=2*(8*W+8*1+W*1)$

$250=2*(8*W+8+W)$

$250=2*(9*W+8)$

dived each member by 2

$125=9W+8$

$9W=125-8$

$9W=117$

$\boxed{\boxed{W=13~unit~of~measure}}$

The volume of a rectangular prism is

$V=L*H*W$

$V=8*1*13$

$\boxed{\boxed{V=104~unit~of~volume}}$

8.21 as a mixed number

Answers

Hey there, 8.21 as a fraction is 8210/1000, the numerator is 8210 because 8.21*1000=8210 and the denominator is out of 100. The fraction 8210/100, can be simplified to 821/100, 821/100 as a mixed number is 8 21/100. Therefore, 8.21 as a mixed number is 8 21/100.

ok to get a mix number you divide the numerator by the denominator in this case which is 21 into 100 can only go into 100 4 times so 21 into 100 is 8 4/16 reduced would be 8 1/2

How do you solve number 7 please help

Answers

Answer: I am pretty sure your answer is 208 cm. Whenever you see a percentage immediately change it to a decimal like in this case 0.070 and multiply it by 400. 400x0.070 is equal to 280. Hope this helps :)

The function f(x) = 5One-fifth is reflected over the y-axis. Which equations represent the reflected function? Select two options.f(x) = One-fifth
f(x) = One-fifthOne-fifthOne-fifth
f(x) = 5One-fifth
f(x) = 5(5)x
f(x) = 5(5)–x

Answers

Answer:

The equations that represent the reflected function are

$f(x)=5((1)/(5))^(-x)$

$f(x)=5(5)^(x)$

Step-by-step explanation:

The correct question in the attached figure

we have the function

$f(x)=5((1)/(5))^(x)$

we know that

A reflection across the y-axis interchanges positive x-values with negative x-values, swapping x and −x.

therefore

$f(−x) = f(x).$

The reflection of the given function across the y-axis will be equal to

(Remember interchanges positive x-values with negative x-values)

$f(x)=5((1)/(5))^(-x)$

An equivalent form will be

$f(x)=5((1)/(5))^((-1)(x))=5[((1)/(5))^(-1))]^(x)=5(5)^(x)$

therefore

The equations that represent the reflected function are

$f(x)=5((1)/(5))^(-x)$

$f(x)=5(5)^(x)$

Answer:

c,d

Step-by-step explanation:

In her first design for water rush Ms Luca used 4 same-size rectangular bins to hold sand. Each bin had a volume of 180 cubic yards. Then ms Luca changed her design to use 2 new same-size rectangular bins. The total volume of the 2 new bins. The volume of the 2 new bins is equivalent to the total volume of the 4 original bins. What is the length of each of the new bins. Show your work.

Answers

Hello

Ms Luca has 4 bins which each has 180 cubic yards so 4×180= 720

Now she has a new design which has 2 bins which carry THE SAME amount so...

720÷2= 360

answer is 360

Answer:

The question is asking for the length. The height is given as 6 and the width is given as 5. The length is unknown

To find the length use formula lxwxh=volume

We know the volume of each bin to be 360 so we plug into the formula

lx5x6=360 (multiply)

lx30=360 (divide both sides by 30 to isolate the unknown, which is the length).

360/30= 12

l=12

The length is equal to 12

The answer is 12.

Step-by-step explanation:

In the blueprint for A rectangular balcony is 1 inch by 1.75 inches if the actual length is 7 feet what is the perimeter

Answers

Answer:

22 feet

Step-by-step explanation:

Given

In blue print,dimensions of rectangular balcony are, length(l)=1.75inch and breadth(b)=1inch
The actual length(L)=7 feet

To find the actual perimeter, we need the breadth of balcony(B)

The ratio of length to breadth in blue print must be equal to the ratio of actual length to breadth

⇒

$\frac{\text{length of rectangular balcony in blueprint}}{\text{breadth of rectangular balcony in blueprint}} =\frac{\text{length of rectangular balcony actually}}{\text{breadth of rectangular balcony actually}}$

$(l)/(b) =(L)/(B) \nB* l=L * b\nB= (L * b)/(l)=(7 * 1)/(1.75) =4$

Therefore Breadth actually=4 feet

⇒Perimeter

$=2*(length+breadth)\n=2*(7+4)\n=2*(11)\n=22$

Therefore perimeter of rectangular balcony= 22 feet

Other Questions

Find an equation of a line that pass through (4,3) and parallel to y=-4x+1

The moon is about 240,000 miles from earth. What is the distance written as a whole number multiplied by a power of ten

What is 4 3/4 - 2 2/3

Number greater than 700,000 that rounds to 700,000