Answer:
5
Step-by-step explanation:
What we have to know is that when two triangles are similar their sides will always be proportional. So we will create a proportion that goes like this...
but since it doesn't tell us the exact value of triangle 1. We will have to add 3 and 12 to get 15 which is the base of the first triangle. Now we're ready to write the proportion.
Now we cross multiply and solve the equation...
So the value of x is 5.
= $ 32,275.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4.85%/100 = 0.0485 per year,
putting time into years for simplicity,
24 quarters ÷ 4 quarters/year = 6 years,
then, solving our equation
A = 25000(1 + (0.0485 × 6)) = 32275
A = $ 32,275.00
The total amount accrued, principal plus interest,
from simple interest on a principal of $ 25,000.00
at a rate of 4.85% per year
for 6 years (24 quarters) is $ 32,275.00.
Answer:
p = 6; RPQ = 60 degrees
Step-by-step explanation:
Because RPS is 120 degrees and it is bisected by PQ (cut into 2 equal parts), we can determine that both sides are 60 degrees. Set the expression 5p+30 equal to 60 to find the value of p.
5p + 30 = 60
5p = 30
p = 6
So now you have determined that p = 6, and the measure of RPQ is 60 degrees.
Hope this helped!
Answer:
66 2/3 as a mixed number or 200/3 as an improper fraction.
Step-by-step explanation:
That would be 66 2/3.
0.6 recurring is 2/3.
3= 3 thirds + 3 thirds + 3 thirds = 9 thirds
2/3 = 2 thirds
9 + 2 = 11 thirds. (11/3)
