Answer:
$80,500
55,500 + 1,500t
Step-by-step explanation:
The question is an arithmetic progression series
Where,
a= first term
d= common difference
n= number of terms
a = $70,000
d= $1,500
n= 8 years
8th term = a + (n-1) d
= 70,000 + (8-1)1500
= 70,000 + 7(1500)
= 70,000 + 10,500
= $80,500
Jocelyn salary after 8 years is $80,500
Solve for when n = t
t th term = a + (n-1)d
= 70,000 + (t - 1)1500
= 70,000 + 1,500t - 1,500
= 55,500 + 1,500t
t th term = 55,500 + 1,500t
Let Mike be m and Adam be m+2. Then:
m²+28=(m+2)²
m²+28=m²+4m+4
4m=24
m=6
Mike is 6; Adam is 8
☺☺☺☺
20 + 25(times the number of hours) = 282.50
You add the 20 because of the one time service fee.
Now lets work this out.
20 + 25x =282.50
25x = 262.50 (subtract both sides by 2 to get the x's alone)
x = 10.5 (divide both sides by 25 to get just x)
x = 10.5 hours
So the answer is A.
Try the case if the triangle was a right triangle.
Then the longest side, 25, would be c or the hypotenuse.
9^2+24^2=25^2
81+576=625
657=625
This is not a true statement so the triangle is not a right triangle.
Hope this helps :)
