Answer:
x=10
5x=50
2x=20
Step-by-step explanation:
110+5x+2x = 180 combine like terms and move the constants to the same side
7x=70
x = 10
5(10) = 50
2(10) = 20
Answer:
$550.97
Step-by-step explanation:
The amortization formula will tell you the payment amount.
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where A is the monthly payment, P is the principal amount of the loan, r is the annual interest rate, t is the number of years. Using your values, this is ...
A = $12,000(0.095/12)/(1 -(1 +0.095/12)^(-12·2)) ≈ $550.97
The amount of Gerald's payment is $550.97.
A=1/2bh
Data:
a=192 mm²
h=12 mm
therefore:
192 mm²=1/2(b)(12 mm)
192 mm²=6b mm
b=192 mm²/6 mm
b=32 mm
Answer: the measure of the base is 32 mm
Answer:
4 inches deep, 5 inches high and 15 inches across
Answer:
$15
Step-by-step explanation:
let the hourly rate of pay for Ben = B
let the hourly rate of pay for Judy = J
Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75;
4J + B = 75 ----- i
Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120
2J + 6B = 120 --- ii
Now, we should solve the expression;
Multiply equation ii by 2 and equation i by 1;
4J + B = 75 ----- i x 1 ; 4J + B = 75 -- iii
2J + 6B = 120 --- ii x 2 ; 4J + 12B = 240 ---iv
Now,
equation iv - iii;
11B = 165
B = $15
So, solving for J;
4J + B = 75
4J + 15 = 75
4J = 75 - 15 = 60
J = $15