Answer:
<u>3.63 years</u>
Step-by-step explanation:
The formula would be of compound growth, which is:

Where
F is future amount (with interest)
P is initial deposit
r is rate of interest in a year
n is number of compounding in 1 year
t is the time in years
Given in this problem:
To accumulate 2000 interest means the future amount will be:
10000+2000 = 12,000
Present amount is 10,000
r is the annual interest, which is 5% or 0.05
compounded monthly means, 12 times a year, so n = 12
t is time in years, which we need to find
Substituting, we have:

The time it will take is around <u>3.63 years</u>
Irrational numbers can not be precisely represented in decimal form because they are non-terminating, non-repeating decimals. Also they cannot be written as a fraction as well.
Answer:
y = Five-sixths x – 12
Step-by-step explanation:
In the picture attached, the given line is shown. Its slope is:
m = [6 - (-4)]/[12 - 0] = 5/6
The line that is parallel to the given line has the same slope.
A line with slope m that pass through (x1, y1) satisfies:
y - y1 = m(x - x1)
Replacing with m = 5/6 and point (12, -2):
y - (-2) = 5/6(x - 12)
y + 2 = 5/6x - 10
y = 5/6x - 10 - 2
y = 5/6x - 12
I'd say increasing each side by 5 increases the volume by a factor of 125 because 5*5*5 = 125.
Example:
A 4*5*6 prism has a volume of 120
Increasing each side by a factor of five
(20*25*30) = 15,000
15,000 / 120 = 125
The answer is A (x+5)(x+3)
explanation:
the GCF of 15 is 3 and 5
3 and 5 also add up to 8 making each of the number the zeros
(x+5)(x+3)