Answer:
i = 4.68698 % to five decimal places.
Step-by-step explanation:
Let
i = annual rate of return
t = number of years = 4
using the compound interest formula,
12382500 = 10309500 (1+i)^4
rearrange
(1+i)^4 = 12382500 / 10309500
take log on both sides,
4log(1+i) = log(12382500 / 10309500)
solve for i
log(1+i) = (1/4)log(12382500 / 10309500)
1+i = e^((1/4)log(12382500 / 10309500))
i = e^((1/4)log(12382500 / 10309500)) -1
i = 0.0468698287401117
Answer:
$6
Step-by-step explanation:
Set up a system of equations where b is the cost of a book and m is the cost of a movie:
9b + 5m = 124
4b + 21m = 318
Solve by elimination by multiplying the top equation by -21 and the bottom equation by 5:
-189b - 105m = -2604
20b + 105m = 1590
Add the equations together, then solve for b:
-169b = -1014
b = 6
So, the cost of a book is $6
Answer: 25
Step-by-step explanation: The absolute value is the distance between a number and zero. The distance between −
25 and 0 is 25
Answer:
City Carpet and Flooring advertises that they can install 1,200 square feet
of carpet in 2 hours. Select whether each installation rate has the same
unit rate, in square feet per hour, as City Carpet and Flooring. 7.RP.1,7.NS.3
Yes No
0
0
0
0
960 square feet of carpet in 2 hours
1,000 square feet of carpet in 12 hours
320 square feet of carpet in hour
Step-by-step explanation:
As you may know, this means that 3p-6 is equal to 90 degrees. Set up an equation:
3p-6 = 90
3p = 96
p = 32