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polet [3.4K]
3 years ago
9

Consider the function represented by the tabe what is f(0)

Mathematics
1 answer:
lisov135 [29]3 years ago
3 0
The correct answer above
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To offer scholarships to children of employees, a company invests $13,000 at the end of every three months in an annuity that pa
Andreyy89

Annuities

Suppose a fixed investment R is done every fixed number of periods m per year for t years at a constant rate r.

a.

The final value of the investments plus the interest is calculated as follows:

FV=R\cdot\frac{(1+i)^n-1}{i}

Where:

n = number of total periods of the investment.

n = m*t

i=\frac{r}{m}

The company invests R = $13,000 for t = 10 years at the end of every quarter (3 months), thus m = 4. The interest rate is r = 9% = 0.09.

The interest rate compounds quarterly.

Calculate:

n = 4*10 = 40

i = 0.09 / 4 = 0.0225

\begin{gathered} FV=\$13,000\cdot\frac{(1+0.00225)^{40}-1}{0.0225} \\ FV=\operatorname{\$}13,000\times\frac{(1.00225)^{40}-1}{0.0225} \\ FV=\operatorname{\$}13,000\times\frac{2.435188965-1}{0.0225} \\ FV=\operatorname{\$}13,000\cdot63.786176 \end{gathered}

Calculating:

FV = $829,220

The company will have $829,220 in scholarship funds

b. The interest can be found by subtracting the final value and the initial value. We have to calculate the latter:

\begin{gathered} A=FV(1+i)^{-n} \\ A=\$829,220(1.0225)^{-40} \\ A=\$340,516 \end{gathered}

Thus, the interest is:

welcI = $829,220 - $340,516

I = $488,704

The interest is $488,704

5 0
1 year ago
Subtraction is a commutative operation. When writing an expression for the difference of two numbers, it does not matter what or
Mice21 [21]
A.True they can be switched around
7 0
3 years ago
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Is 1.75 a reasonable estimate of the value of the square root of 8
ladessa [460]

Answer:

Test it.  Is 1.752 close to 8?

1.752 = 3.0625

3.0625 is not close to 8.

Step-by-step explanation:

8 0
2 years ago
Bryce ran a race that was 2.5 miles long. How long was the race, in feet? Round your answer to the nearest hundred. A. 2,100 ft
Anna [14]
13200  it is d bud hope this helps u 
3 0
3 years ago
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4√6 •√3 how do I show work for this because the answer is 2√12​
Yuliya22 [10]

Answer:

4 \sqrt{6}  \times  \sqrt{3}  = 12 \sqrt{2}

Step-by-step explanation:

We want to simplify the radical expression:

4 \sqrt{6}  \times  \sqrt{3}

We write √6 as √(2*3).

This implies that:

4 \sqrt{6}  \times  \sqrt{3}  = 4 \sqrt{2 \times 3}   \times  \sqrt{3}

We now split the radical for √(2*3) to get:

4 \sqrt{6}  \times  \sqrt{3}  = 4 \sqrt{2}  \times  \sqrt{3}  \times  \sqrt{3}

We obtain a perfect square at the far right.

4 \sqrt{6}  \times  \sqrt{3}  = 4 \sqrt{2}  \times  (\sqrt{3} )^{2}

This simplifies to

4 \sqrt{6}  \times  \sqrt{3}  = 4 \sqrt{2}  \times 3

This gives us:

4 \sqrt{6}  \times  \sqrt{3}  = 4 \times 3 \sqrt{2}

and finally, we have:

4 \sqrt{6}  \times  \sqrt{3}  = 12 \sqrt{2}

5 0
3 years ago
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