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san4es73 [151]
4 years ago
12

How much would $200 invested at 7% interest compounded annually be worth after 5 years? Round your answer to the nearest cent.

Mathematics
2 answers:
e-lub [12.9K]4 years ago
7 0
A= P(1 + r) n (n to the power of) 

<span>A= final balance </span>
<span>P= initial quantity </span>
<span>n= number of compounding periods </span>
<span>r= percentage interest rate </span>

<span>P= $200 </span>
<span>n= 9 years </span>
<span>r= 5%= 0.05 </span>

<span>=$200 (1 + 0.05)9 (power of) </span>
<span>=$310.26</span>
Zolol [24]4 years ago
4 0
Use the Compound Amount formula:

A = P (1 + r)^t, where P is the principal, r is the interest rate as a decimal fraction, and t is the number of years.

Here, A = $200 (1 + 0.07)^5    =    $500(1.07)^5    =   $280.51.

The interest earned would be $80.51.
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Answer:

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Step-by-step explanation:

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3 years ago
Estimate the square root to the nearest integer and tenth square root of 8
Sever21 [200]

Answer:

√

8

≈

3

Explanation:

Note that:

2

2

=

4

<

8

<

9

=

3

2

Hence the (positive) square root of  

8

is somewhere between  

2

and  

3

. Since  

8

is much closer to  

9

=

3

2

than  

4

=

2

2

, we can deduce that the closest integer to the square root is  

3

.

We can use this proximity of the square root of  

8

to  

3

to derive an efficient method for finding approximations.

Consider a quadratic with zeros  

3

+

√

8

and  

3

−

√

8

:

(

x

−

3

−

√

8

)

(

x

−

3

+

√

8

)

=

(

x

−

3

)

2

−

8

=

x

2

−

6

x

+

1

From this quadratic, we can define a sequence of integers recursively as follows:

⎧

⎪

⎨

⎪

⎩

a

0

=

0

a

1

=

1

a

n

+

2

=

6

a

n

+

1

−

a

n

The first few terms are:

0

,

1

,

6

,

35

,

204

,

1189

,

6930

,

...

The ratio between successive terms will tend very quickly towards  

3

+

√

8

.

So:

√

8

≈

6930

1189

−

3

=

3363

1189

≈

2.828427

8 0
3 years ago
What i s-4.966666 rounded to the nearest 100th
Rama09 [41]

Answer:

-4.97

Step-by-step explanation:

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