Answer:
5n-9
Step-by-step explanation:
You can factor (15n^2-27n) to be (3n)(5n-9). When you divide this expression by 3n, 3n/3n=1, and you are left with just 5n-9. Hope this helps!
Perfect squares can be divided and multiplied by the same number to get the same number. For example 25/5=5. 5*5=25.
4/2=2, 2*2=4
1/1=1, 1*1=1
9/3=3, 3*3=9
16/4=4, 4*4=16.
Hence the perfect squares.
Answer:
Matthew's money will double fastest in 6 years.
Step-by-step explanation:
<u><em>The complete question is</em></u>
Answer the question for each scenario<u><em> by applying the rule of 72</em></u>. How many years will it take each situation to double its money? Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%. Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%. Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%. Whose money will double fastest?
we know that
The <u><em>Rule of 72</em></u> is a simple way to determine how long an investment will take to double given a fixed annual rate of interest. By dividing 72 by the annual rate of return.
so
Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%

Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%.

Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%

therefore
Matthew's money will double fastest in 6 years.
We can write any number n in the form
, since
and
are inverse functions, so that

The bases are the same on both sides, so the exponents must be equal.

Solve for x :

