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prisoha [69]
3 years ago
10

How much would you need to deposit in an account now in order to have $6,000 in the account in 8 years? Assume the account earns

6% interest compounded monthly. (could anyone do this whole problem out?
Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0

Answer:

$3,717

Step-by-step explanation:

Hello, in 1 year there are 12 months.

Let's note I the Initial amount.

So, after 1 month we will get the following, because we compute the interest amount for one month only.

I * ( 1 + 6% * (1/12) )

And the next month, we will have interest of the amount available from previous month so it gives

I * ( 1+6\% * \dfrac{1}{12} ) * ( 1+6\% * \dfrac{1}{12} ) \\\\=I*(1+\dfrac{6}{12*100})^2\\\\=I*(1+\dfrac{1}{200})^2\\\\=I*(1.005)^2

... and after n months ...

I*(1.005)^n

8 years is 8*12 = 96 months. so we are looking for I such that

I*(1.005)^{96}=6000\\\\ I =\dfrac{6000}{1.005^{96}}\\\\=\boxed{3717.14345....}

Thank you.

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A cell phone provider charges $120 per month. There is a 15% discount for those who also subscribe to home phone service. What p
Zepler [3.9K]

Answer: $102 per month

Step-by-step explanation:

15% off $120 means $120-(.15*$120) which is 120-18=$102. The .15 is the 15%, and 15% of 120 would be the whole multiplication.

5 0
3 years ago
In your computation, approximate its value as 3.14.
andrey2020 [161]

Answer: d

Step-by-step explanation:

Find the area of the rectangle.

A=l*w\\A=(15in)(12in)\\A=180in^2

Find the area of the base of the semicircle.

A=\pi r^2

12 in would be the diameter, divide by 2 to get the radius.

\frac{12}{2}=6

Plug this into the formula.

A=(3.14)(6)^2\\A=113.04in^2

Since we do not have a full circle but a semi one instead, we must divide our result by 2.

\frac{113.04}{2}=56.52in^2

Add both areas.

180+56.52=236.52in^2

7 0
3 years ago
Find the quotient 7/9÷5/6
Veseljchak [2.6K]
<span>=<span>14/15</span></span><span>(Decimal: 0.933333)</span>
5 0
3 years ago
Amanda teaches the art of quilling to four students these students each teach the art of quilling to four other students if this
il63 [147K]

Answer:

341

Step-by-step explanation:

The number of people who know the art of quilting in each successive generation is

1, 4, 16, …

These numbers represent a geometric sequence where each term has the form

aₙ = a₁rⁿ⁻¹

In your sequence, a₁ = 1 and r = 4.

Then, the formula for your sequence is

aₙ = 4ⁿ⁻¹

Sum over five generations

The formula for the sum of the first n terms of a geometric series is

Sum = a₁[(1 - rⁿ)/(1 - r)]

Sum = 1[(1 - 4⁵)/(1 - 4)

       = (1 - 1024)/(-3)

       = -1023/-3

       = 341

If the process continues for five generations, 341 people will know the art of quilting.

4 0
3 years ago
Read 2 more answers
Sila jogged 12 kilometers today and wants to know how far she traveled in feet. What error did Sila make while converting from k
ozzi

Answer:

umm i'm not rly sure what's going on here...but here's how i'd do it

Step-by-step explanation:

3280.84x12=39370.08 which is about 3,9370 feet.

to double check let's do an algebraic expression

1/3280.84=x/12        cross multiply

x(1)=3280.84(12)       simplify

x=39370.08

hope that helped.

8 0
3 years ago
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