Answer: 22.5 inches
Step-by-step explanation:
- the general formula for finding perimeter is

- a pentagon contains 5 sides

- note that this is a regular pentagon so it must contain 5 congruent sides
- each side will be 4.5 inches
- the formula can be changed to
and solved:

∴ 22.5 inches = perimeter of the pentagon
Answer:
a) 12x + 20y = 300
b) No
Step-by-step explanation:
You can define your variables however you like. Let x = number of caps and y = number of shirts.
Using the costs given the equation would be
12x + 20y = 300.
For part b the answer is no, only points with positive x and y values would be solutions, since you cannot have a negative number of caps or shirts.
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.
Y=90° by inspection
w=180-(50+y)=160-(50+90)=40°
x=180-(w+x)=180-(40+97)=43°
z=180-(x+90)=180-(43+90)=47°