Answer:
The percentage increase in salary of employee is 7.14 %
Step-by-step explanation:
Given as :
The initial pay of employee = $35,000 per year
The increase pay of employee = $37,500 per year
Let The percentage increase in salary = X %
So, X = 
× 100
Or, X = 
× 100
Or, X = 
× 100
∴ X = 0.0714 × 100 = 7.14 %
Hence The percentage increase in salary of employee is 7.14 % Answer
Answer:
y(.82)*1.08
Step-by-step explanation:
You multiply by .82 to get the cost of the game after the discount and then by 1.08 to add the tax and total amount.
<u>Part a)</u> if a page is reduced to 80%, what percent enlargement is needed to return it to its original size?
Let
x---------> the percent enlargement
we know that
the original size is the 100%
so
x*80%=100%
x=(100%/80%)
x=1.25--------> 1.25=(125/100)=125%
therefore
<u>the answer Part a) is</u>
the percent enlargement is 125%
<u>Part b)</u> Estimate the number of times in succession that a page must be copied to make the final copy less than 15% of the size of the original
we know that
A photocopy machine can reduce copies to 80% of their original size
so
Copy N 1
0.80*100%=80%
Copy N 2
0.80*80%=64%
Copy N 3
0.80*64%=51.2%
Copy N 4
0.80*51.2%=40.96%
Copy N 5
0.80*40.96%=32.77%
Copy N 6
0.80*32.77%=26.21%
Copy N 7
0.80*26.21%=20.97%
Copy N 8
0.80*20.97%=16.78%
Copy N 9
0.80*16.78%=13.42%-------------> 13.42% < 15%
therefore
<u>the answer Part b) is</u>
the number of times in succession is 9
The answer:
According to the image, <span>the length of line segment GF can be found with
</span>GF= GC +CF
CF is one the radius, so CF=7.5
to find GC, we can apply Pythagorean theorem on the right triangle GEC
it is
GC² =GE² + EC² = 10² +7.5² =156.25, and then GC= sqrt(156.25)=12.5
therefore, GF= GC +CF=12.5+7.5=20
so the answer is <span>20.0 units</span>
