Answer:
x=34
Step-by-step explanation:
6 - ( x-7) ^ 1/3 = 3
Subtract 6 from each side
6-6 - ( x-7) ^ 1/3 = 3-6
- ( x-7) ^ 1/3 = -3
Divide each side by a negative
( x-7) ^ 1/3 = 3
Cube each side
( x-7) ^ 1/3 ^3 = (3)^3
x-7 = 27
Add 7 to each side
x-7+7 = 27+7
x = 34
Check
6 - ( 34-7) ^ 1/3 = 3
6 - (27^1/3 = 3
6 -3 =3
3=3
Good solution
$500 was earned over 3 years
so, to find one year
500 ÷ 3 = $166.67
Interest for one year is $166.67
Interest rate for one year is 8%
8% = 166.67
1% = $20.83
100% = $2083.33
Principal amount is $2083.33
This one is similar to the previous one.
Answer:
Step-by-step explanation:
Set up an equation, where x is the number of gallons of 60% antifreeze solution.
Represent the percentages of antifreeze with decimal values.
0.6x + 0.3(80) = 0.5(x + 80)
Simplify and solve for x:
0.6x + 24 = 0.5x + 40
0.1x = 16
x = 160
So, you have to mix 160 gallons of a 60% antifreeze solution
