How much will be left after 24 hrs if it’s half life is 6 hours?

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

11 months ago

How would you describe the location of the solutions in the coordinate plane?

zhannawk [14.2K]

Answer:

The coordinates of a point are a pair of numbers that define its exact location on a two dimensional plane. Recall that the coordinate plane has two axes at right angles to each other, called the x and y axis. The coordinates of a given point represent how far along each axis the point is located.

Step-by-step explanation:

8 0

3 years ago

Suppose that a state introduces a state income tax which will be at a flat rate of 3%. The state legislature wishes to estimate

Greeley [361]

Answer:

The mean income is more useful

Step-by-step explanation:

If you know the mean income, then you can obtain the total income by multiplying for the total population. Once you know the total income, you can deduce the amount of money collected by multiplting the total income by 0.03.

Knowing the median income does only help you so much. The mediam income is only a parameter that says that 50% of the population earn less than that. However, if you dont know how much the richer people earn, you cant deduce how much from taxes will you collect. For a simplified example, the sets A = {1,3,18} and B = {1,3,4} have the same median, 3. however A sums a total of 22, while B only sums 8.

The mode of income alone is also not enough. Again, You can have a lot of salaries ranging from similar values, but if you dont know the exact value of other clusters of salaries, specifically the biggest ones, you will lack a lot of information. As a simplified example, the Sets A = {1,3,3,3,3,3,3, 7, 7,7} and B = {1,3,3,3,3,3,3,3,3,75} have both of them 3 as the most frequent number, however A has a mean of 4, while B has a mean of 10, despite having only 1 mayor cluster of numbers.

Is short, the mean is the bets way to determine the amount of rax collection, because it puts more realistic 'weights' on higher income, and because it lets you obtain exact results for the total amount of income.

I hope this helped you!

8 0

3 years ago

The sale price of every item in a store is 85 percent of its usual price a. The usual price of a backpack is $30, what is the sa

zlopas [31]

for A multiply 85 and 30. then subtract 30 by the product, this gives you the sale price. For B you do the same thing but you multiply 18 and 85. then 18 subtracted by the product which gives you the sale price.

4 0

3 years ago

Read 2 more answers

What is mpo? 128° O 1730 O 1920 O 256°

Paladinen [302]

Answer:

it's the 2nd one because

Step-by-step explanation:

have a nice day

8 0

3 years ago