Answer:
(A) Your friend will save $282.
(B) Your friend will get 23.5% off the original price of the mattress.
Step-by-step explanation:
We first need to find out the price of the mattress after the 15% discount. Our first step is to find what 15% of 1,200 is. We can do this by multiplying the two numbers.
1,200 x 15% -----> 1,200 x 0.15= 180.
15% of $1,200 is $180.
Next subtract $180 from $1,200, which equals $1,020. We can now apply the 10% off internet coupon.
1,020 x 10% ------> 1,020 x 0.10= 102.
10% of $1,020 is $102.
Next we subtract $102 from $1,020 and we get $918, the final price of the discounted mattress.
We subtract to see how much money the friend saved.
$1,200 - $918= $282.
We can get the percentage by dividing $282 by $1,200.
282 / 1200= 0.235 decimal form ----> 23.5%
-12 n - 24 = -12 (n+2)
-12 (n+2) is the answer
If only + numbers are acceptable, then the numbers divisible by 810 are represented by {810n}, where n = {0, 1, 2, 3, ... }
14/100 = 0.14
0.14x72 = 10.08
It would take 10.7 years.
The formula for continuously compounded interest is:

where P is the principal, r is the interest rate as a decimal number, and t is the number of years.
Using our information we have:

We want to know when it will double the principal; therefore we substitute 2P for A and solve for t:

Divide both sides by P:

Take the natural log, ln, of each side to "undo" e:

Divide both sides by 0.065: