(4^p*4^1)^3 = 4^15
add the exponents
(4^(p+1))^3 = 4^15
power to the power means multiply
(4^3(p+1)) = 4^15
the bases are the same so the powers have to be the same
3(p+1)) = 15
divide by 3
p+1 =5
subtract 1
p=4
Eric is incorrect. p=4
Answer:
Answer 1: 85
Answer 2: c
Answer 3: 15
Step-by-step explanation:
Simple subtraction makes the trick.
Answer:
135
Step-by-step explanation:
Increase $110,000 by 20% 3 times.
110,000 x 0.2 = 22000
(0.2 is 20% as a decimal, we needed to convert it to multiply it)
So we must add 22000 to 110,000, then take 20% of the new cost, and repeat.
Add them
110,000 + 22000 = 132000
Take 20% of new value
132000 x 0.2 = 26400
Add that
132000 + 26400 = 158400
Take another 20% of that
31680
Add them
158400 + 31680 = 190080
So the value is now $190,080
A much more efficient way to do this would be multiplying 1.2 instead of 0.2, and skipping the adding part, as you already took 100% of it and are adding 20% more.
Hope this helps!
8x+15=7
answer: x= 1 hope this help
