Answer:
$878.25
Step-by-step explanation:
Continuously compounded interest is:
A = Pe^(rt)
where A is the final amount, P is the initial amount, r is the interest rate, and t is the number of compoundings.
Here, P = 560, r = 0.09, and t = 5.
A = 560e^(0.09×5)
A = 878.25
Just substitute the values: -1/-10-6 -> -1/-16 -> 1/16.
Answer:
16%
Step-by-step explanation:
The additional wage amount is $80.
The original wage amount is $500.
The ratio of the two is ...
$80/$500 = 0.16 = 16/100
To express that ratio as a percentage, multiply it by 100%.
0.16 × 100% = 16%
_____
It might help you to think of the percent sign (%) as a fancy way to write "per hundred" (/100). Of course, using your knowledge of place value, you know that 0.16 = sixteen hundredths = 16/100.
Realizing the meaning of the % sign, you can immediately write this as 16%.
Answer:
P = 6x +4
Step-by-step explanation:
Use the given values in the formula for the perimeter of a rectangle:
P = 2(L +W)
__
You have ...
L = 2x +4
W = x -2
So, the perimeter is ...
P = 2((2x +4) +(x -2)) = 2(3x +2)
P = 6x +4
The perimeter of the rectangle is 6x+4.