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zloy xaker [14]
2 years ago
12

Help please confused

Mathematics
1 answer:
Sindrei [870]2 years ago
3 0

Answer:

00.5 is a answer A IS A ANSWER

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Select the correct answer.
iris [78.8K]

The future value of $1,000 invested at 8% compounded semiannually for five years is \bold{\$ 1,480}

<u>Solution:</u>

\bold{A = P (1 + i )^{n}} ----------- equation 1

A = future value  

P= principal amount  

i = interest rate

n = number of times money is compounded  

P = 1000

i = 8 %

\mathrm{n} = \text { compounding period } \times \text {number of years}

(Compounding period for semi annually = 2)

\mathrm{n} = \text { compounding period } \times \text {number of years}

Dividing “i” by compounding period

i = \frac{8 \%}{2} = 0.04

Solving for future value using equation 1

\begin{array}{l}{A = 1000(1 + 0.04)^{10}} \\\\ {=1000 (1.04)^{10}}\end{array}

= 1480.2

\approx 1,480 \$

3 0
3 years ago
Find the value of x in the following figure
tiny-mole [99]

Answer:

8

Step-by-step explanation:

3 0
3 years ago
A number divided by 40 has a quotient of 6 a remainder of 16. Find the number.
algol [13]
40 x 6 + 16 =
= 240 + 16 =
= 256

256 / 40 = 6 with a remainder of 16

Hope I helped.
3 0
3 years ago
Read 2 more answers
10. A basketball court is being painted. Everything
BaLLatris [955]
I believe the answer is 142.09
4 0
3 years ago
Which function has the greatest rate of change on the interval from x = 3 pi over 2 to x = 2π?
vodka [1.7K]
The average rate of change for the function f(x) can be calculated from the following equation
\frac{f( x_{2})-f( x_{1} )}{ x_{2} - x_{1} }

By applying the last formula on the given equations 
(1) the first function f
from the table f(3π/2) = -2   and   f(2π) = 0
∴ The average rate of f = \frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 \pi -  \frac{3 \pi}{2} } =  \frac{0-(-2)}{ \frac{\pi}{2} }=  \frac{2}{ \frac{\pi}{2} }  =  \frac{4}{\pi}

(2) the second function g(x)
from the graph g(3π/2) = -2   and   g(2π) = 0
∴ The average rate of g = \frac{g(2 \pi)-g( \frac{3 \pi}{2} )}{2 &#10;\pi -  \frac{3 \pi}{2} } =  \frac{0-(-2)}{ \frac{\pi}{2} }=  \frac{2}{ &#10;\frac{\pi}{2} }  =  \frac{4}{\pi}

(3) the third function h(x) = 6 sin x +1
∴ h(3π/2) = 6 sin (3π/2) + 1 = 6 *(-1) + 1 = -5
   h(2π) = 6 sin (2π) + 1 = 6 * 0 + 1 = 1
∴ The average rate of h = \frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 &#10;\pi -  \frac{3 \pi}{2} } =  \frac{1-(-5)}{ \frac{\pi}{2} }=  \frac{6}{ &#10;\frac{\pi}{2} }  =  \frac{12}{\pi}

By comparing the results, The <span>function which has the greatest rate of change is h(x)
</span>

So, the correct answer is option <span>C) h(x)</span>
4 0
3 years ago
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