Answer:
D. x=(1/6)y^2
Step-by-step explanation:
D. x=(1/6)y^2
9^1/3 * 3^x = 27^4/5
Rewrite 9 as 3^2
(3^2)^1/3 * 3^x = 27^4/5
Multiply the exponents in the first term:
3^2/3 * 3^x = 27^4/5
Use power rule to combine exponents:
3^(2/3 +x) = 27^4/5
Rewrite the 2nd term:
3^(2/3 +x) = (3^3)^4/5
Set the exponents only to equal:
2/3 + x = 3(4/5)
Solve for x:
simplify the right side:
2/3 + x = 12/5
Subtract 2/3 from both sides:
x = 26/15
So, to do this, all you need to do is add up all the values, and then, with that number, divide by how many values are given.
150+165+165= 480
480/3= 160
We can use the is/of=p/100 method for this problem. Since it's 15% off, this would mean that the bill is 85% of what it was initially. Plug the values into the is/of=p/100 formula.
36.72/x = 85/100
Solve for x.
x=36.72/0.85
x=43.2
So, the bill was $43.20 before applying the voucher discount of 15% off.
Answer:
$7200 in the fund rose 6% n $2800 in the fund rose 9%
Step-by-step explanation:
let x be the amount in the fund rose 6%
gain in one year=x*6%=0.06x
total amount is 10000
so amount in the fund rose 9% = 10000-x
gain in one year=(10000-x)*9%=900-0.09x
total gain=0.06x+900-0.09x=900-0.03x
=684
900-684=0.03x
0.03x=216
x=7200
the other fund amount=10000-7200=2800
