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3 years ago

Resolucion de ese ejercicio por favor

Mathematics

1 answer:

sasho [114]3 years ago

7 0

Answer:

what?

Step-by-step explanation:

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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.

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

If x-2 is a factor of x^2+3x+k, what is the value of k?

Ne4ueva [31]

Take x-2=0

x=2

put the value of x in the equation

2^2 + 3(2) + k =0
4+6+k=0
10+k=0
k= -10

hope you understand

5 0

3 years ago

F(x)=-x^2+19<br><br> Find f(3)

Arturiano [62]

Answer:

f(3) = 10

Step-by-step explanation:

f(x)=-x^2+19

Let x= 3

f(x)=- (3)^2+19

= -9 + 19

= 10

8 0

3 years ago

Read 2 more answers

the surface areas of two similar solids are 1008cm^2 and 1372ccm^2. the volume of the larger solid is 1801cm^3 find the volume o

adoni [48]

This can be treated as a proportion problem.

Larger solid:
Surface area = 1,372 cm²
Volume = 1,801 cm³

Smaller solid:
Surface area = 1,008cm²
Volume = ?

1,372 / 1,801 = 1008 / x
1,372 * x = 1,801 * 1008
1,372x = 1,815,408
x = 1,815,408 / 1,372
x = 1,323.18

The volume of the smaller solid is 1,323.18 cm³

4 0

3 years ago

There is a relationship between smoking status and lung health (good, average, poor). People who smoke tend to have worse lung h

kodGreya [7K]

Answer:

correct

Step-by-step explanation:

6 0

3 years ago