First we need to define our conditions. Since the angles are complimentary, the sum of the angles must be equal to 90 degrees.
let x = first angle
y = second angle
x + y = 90
from the second condition in the problem
x + y =72 + x -y
solving for x
x= 54
therefore the shorter side is 90 - 54 = y
y = 36 degree, the shorter side
Answer:
The cost of labor per hour is $105.
The expression is 4x + 77 = 497
Step-by-step explanation:
The expression is 4x + 77 = 497, where 4x represents the cost of labor per hour, 77 is the cost of the parts, and 497 is the total.
4x + 77 = 497
4x + 77 - 77 = 497 -77
4x = 420
4x/4=420/4
x = 105
A. 35/100 * 240 = 35 * 240 / 100 = 84
B.125/100 * 80 = 125 * 80 /100 = 100
C. 60/ 75% = 60 * 100 / 75 = 8
D. 45 / 15% = 45 * 100/ 15 = 300
Answer:
$95.5090 must be deposited monthly
Step-by-step explanation:
From the information given:
The annual interest rate (r) = 4.2% = 0.042
Let assume that an amount Y is deposited, then after one month, it will increase to:
The total amount after 4 years will be:
Using the sum of a geometric progression:
The above amount is then equal to $5000
i.e
Odd integers between 8 and 26
{ 9,11,13,15,17,19,21,23,25}...added = 153 <==
