Please answer this also I need help

An investment company pays 8% compounded semiannually. You want to have $12,000 in the future. (A) How much should you deposit

Leno4ka [110]

Before we start answering the question, let's define the compound interest formula:
$A = P(1+ \frac{r}{n}) ^{nt}$
Where:
'A' is the amount of money in dollars
'P' is the principal amount of money in dollars
'r' is the interest rate (decimal)
'n' is the number of times interest is compounded per year
't' is the time in years

(A) Find Principal Amount
Given:
A = 12,000
P = ?
r = 0.08
n = 2 (semiannually)
t = 5
Now we plug our values in and solve:
$12,000 = P(1+ \frac{0.08}{2}) ^{(2)(5)}$
$12,000 = P(1.04) ^{10}$
$P = 8106.77$
∴ You would have to deposit $8106.77 in order to have $12,000 in 5 years from now.

(B) Find Principal Amount
Same given values as above, with the exception of 't' which is now 10 instead of 5.
$12,000 = P(1+ \frac{0.08}{2}) ^{(2)(10)}$
$12,000 = P(1.04) ^{20}$
$P = 5476.64$
∴ You would have to deposit $5476.64 in order to have $12,000 in 10 years from now.

Hope this helps!

4 0

4 years ago

The number of games, g, to be played with n teams can be written by the following equation: g=n^2-n if there are to be 132 games

Tema [17]

The equation that describes the relation between the number of games (g) and the number of teams (n) is given as follows:
g = n^2 - n

Now, we are given that the number of games is 132. This means that g=132. To know the number of teams, substitute with the given g in the given equation as follows:
g = n^2 - n
132 = n^2 - n
n^2 - n - 132 = 0 .......> factorize this expression
(n-12)(n-11) = 0
This means that:
either n = 12 teams
Or n = -11 teams (this solution is rejected as the number of teams cannot be negative)

Therefore, based on the above calculations, if the number of games is 132, then, the number of teams is 12

3 0

3 years ago

Lexi went shopping before the start of the school year. She spent $8 on new clothes for every $3 she spent on school supplies. P

Schach [20]

Answer:

The answer is $96

Step-by-step explanation:

I just finished this there is a graph with 8 and 3. There are 11 graph boxes in all (you add the boxes/ amount together to get how much total they are). 8 +3=11. Then you divide 132/11=12. You are looking for clothes, so you multiple 12x8=which equals 96. So she spent $96 on clothes

7 0

3 years ago

NO LINKS

azamat

It’s either A B C or D

7 0

2 years ago

Read 2 more answers

You are giving the following amounts: $190,258.50; $152,698.00; $122,753.00; $220,523.00; $231,951.00. What is the average of th

Pie

This is a really simple problem once you understand how to solve it, and that's what I'm going to show you! :)

When calculating the mean (average) of multiple numbers, your first step is to add the numbers together.
190,258.50 + 152,698.00 + 122,753.00 + 220,523.00 + 231,951.00 = 918,183.50

Then you take the sum of your numbers, and divide the sum by the amount of numbers added, which in your case, is 5.

918,183.50/5 = 183,636.70

The average of these numbers is $183,636.70

Feel free to message me or comment with any questions you have about this.

5 0

3 years ago