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Dafna11 [192]
3 years ago
12

Your friend is investing in a 401(k) that promises 2% annual growth. He plans on investing $250 each month for 25 years. Excel r

eturns a value of $97,205.28 for the balance in the 401(k) after 25 years. How much interest is earned in the account after 30 years?
Mathematics
1 answer:
7nadin3 [17]3 years ago
7 0

Answer:

$33181.35

Step-by-step explanation:

The first to do would to calculate the balance in the investment account after 30 years.

=fv(rate,nper,pmt,-pv)

rate is the rate of return per month which is 2%/12

nper is 30 years multiplied by 12

pmt is the periodic payment in the investment account of $250

pv is the current balance is shown as zero

=fv(2%/12,30*12,250,0)=$123,181.35

Total interest is the balance in the account after 30 years minus amount invested.

total interest=$123,181.35-($250*12*30)

                     =$123,181.35-$90,000.00=$33181.35

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The mean of 15 numbers is 12. An extra number is included and the mean increases to 13. What the extra number?
Studentka2010 [4]

Answer: 28

Step-by-step explanation:

The mean of 15 numbers = 12

Then , the sum of the numbers = 12x15 = 180

Let the extra number included be x , then

The new sum = x + 180

And the new total number will increase from 15 to 16

new mean = 13 , so we have :

\frac{x+180}{16} = 13

x+ 180 = 16(13)

x + 180 = 208

x = 208 - 180

x = 28

therefore , the extra number is 28

5 0
3 years ago
Perform the indicated operations:
zimovet [89]

Answer:

B. x+1 / x+9

Step-by-step explanation:

7 0
3 years ago
|2x+5|-4=16 find both answers
attashe74 [19]

Answer:

x=7.5 and x=-12.5

Step-by-step explanation:

|2x+5|-4=16

|2x+5|=20

2x+5=20

2x=15

x=7.5

2x+5=-20

2x=-25

x=-12.5

6 0
3 years ago
There are 25 towns in a certain country, and every pair of them is connected by a train route. How many train routes are there?
FinnZ [79.3K]
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7 0
3 years ago
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A right cylinder has a radius of 6 m and a surface area of 84 m². Find the surface area of a similar cylinder with a radius of 2
dlinn [17]

Answer:

The surface area of the second cylinder is equal to 9.33\ m^{2}

Step-by-step explanation:

we know that

If two figures are similar then

the ratio of their surfaces areas is equal to the scale factor squared

Let

z-------> the scale factor

x------> the surface area of the smaller cylinder (second cylinder)

y-------> the surface area of the original cylinder (first cylinder)

so

z^{2}=\frac{x}{y}

Step 1

Find the scale factor

z=\frac{2}{6}=\frac{1}{3}

Step 2

Find the surface area of the second cylinder

we have

z=\frac{1}{3}

y=84\ m^{2}

substitute and solve for x

(\frac{1}{3})^{2}=\frac{x}{84}

x=\frac{1}{9}*84=9.33\ m^{2}


5 0
3 years ago
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