Prime factorization is when the numbers are divided until they cannot be divided anymore.
For example, the number 18.
18/2 = 9
9/3 = 3
So the prime factorization is 2,3,3
As it says use exponents: There are 2 threes. 3 x 3 is the same as 3²
3² x 2 should be your answer
hope this helps
The answer would be number three because the slope is going towards the bottom of the graph
Answer:
Perimeter = 72
Step-by-step explanation:
<u>Mathematics Puzzle</u>
The area of a rectangle is the product of the base and the height
A=b.h
We know the base and the height are two consecutive prime numbers, not much of useful information so far.
We also know the area is composed only of the two smallest prime digits. Those digits are 2 and 3. If the number is reversed and it's not changed, then we only have two possible values for the area: 232 and 323.
We only need to find two consecutive prime numbers which product is one of the above. The number 232 has no prime factors: 232 = 8*29.
The number 323 is the product of 17 and 19, two consecutive prime numbers, thus the dimensions of the rectangle are 17 and 19.
The perimeter of that rectangle is 2*17+2*19= 72
Answer:
Step-by-step explanation:
The formula for compound annual interest is A = P(1 + r)t where
A = Accumulated or final amount (double $500 = $1000)
P = Principal or original amount ($500)
r = Rate as a decimal (0.08)
t = Time in years
1000 = 500(1 + 0.08)t
2 = 1.08t
Take the logarithm of both sides. I prefer the natural logarithm ln, but if you're more comfortable with base 10 logs they will work just as well
ln(2) = ln(1.08t)
ln(2) = t*ln(1.08)
t = ln(2)/ln(1.08)
t = 9.0065 years
Check: 500*1.089.0065 = $1000
