Answer:
1. about 25 square feet 2. about 26 square feet
Step-by-step explanation:
Solution:
<u>We know that:</u>
- Given equation: 1/4(x - 2) = 3 - (x + 1/6)
<u>Simplify the distributive property.</u>
- 1/4(x - 2) = 3 - (x + 1/6)
- => x/4 - 2/4 = 3 - x - 1/6
<u>Further simplify both sides.</u>
<u>Subtract 17/6 both sides.</u>
- x/4 - 2/4 - 17/6 = 17/6 - 17/6 - x
- => x/4 - 6/12 - 34/12 = -x
- => x/4 - 40/12 = -x
<u>Subtract x/4 both sides.</u>
- x/4 - x/4 - 40/12 = -x - x/4
- => -40/12 = -5x/4
<u>Use cross multiplication.</u>
<u>Divide -60 both sides.</u>
- -160/-60 = -60x/-60
- => x = 160/60 = 2 40/60 = 2 2/3
<span>If you deposit(P) $6,800 in a money-market account that pays an annual interest rate(r) of 5.7%. The interest is compounded quarterly(4). [ The money you have after 3 years(t) is: Using the compound interest formula A=P(1+r/n)^nt, where P=$6800, r=57%=.057,t=+3, n=4. A=$6,800(1+(0.057/4))^(3x4) =$6,800(1+0.01425)^12 =$6,800(1.01425)^12 =$6,800(1.18505961016) =$8,058.41. ]</span>
Answer:
-58, -57, -56
Step-by-step explanation:
if the first integer is x,
the second integer must be x + 1 (because it's consecutive)
and the third must be x + 2
Therefore:
3 times the sum of the first and third integers is -342:
3 * (x + (x+2) ) = -342
Combine like terms in parentheses
3 * (2x + 2) = -342
Distribute the 3 to the 2x and the 2:
6x + 6 = -342
Subtract 6 on both sides
6x = -348
Divide by 6 on both sides
x = -58
x + 1 = -57
x + 2 = -56
-58, -57, -56
Check:
3 * (-58 + -56) = 3 * -114 = -342
