Answer:-1/2
Step-by-step explanation:
16^x=1/4
(4^2)^x=4^(-1)
4^2x=4^(-1)
Base cancelled each other since they are the same
2x=-1
Divide both sides by 2
2x/2=-1/2
x=-1/2
Answer: $97.524
Step-by-step explanation:
First let's calculate the price after the tax rate:
converting 7.50% to a decimal = 0.0750 now we multiply the sales tax by 75.60 which equals $5.67 add it to 75.60 = 81.27 (our new total)
Now let's calculate the tip. Again turning 20% to a decimal = .20 now multiplying by 81.27 = 16.254. Adding 16.254 to 81.27 we get our final answer: $97.524
The formula of the future value of annuity ordinary is
Fv=pmt [(1+r/k)^(kn)-1)÷(r/k)]
Fv future value?
PMT payment 6200
r interest rate 0.06
K compounded semiannual 2
N time 5 years
Fv=6,200×(((1+0.06÷2)^(2×5)) ÷(0.06÷2))=277,742.72
Hope it helps
The first one is distributive property.
Answer:
x=11 complementary
Step-by-step explanation:
We see from the square marking that both angles add up to be 90 degrees. Knowing this, we can do 90-43 so that we know the total measure of the top angle. Doing this, we know that the top angle equals 47. We can write this out as 5x-8=47, because they are the same thing. We add 8 to both sides, and get 5x=55. Now we divide both sides by 5 and get x=11. Now we have x, so let's decide if the angle pair is complementary or supplementary. Well, supplementary means the angles add up to be 180 degrees, and complementary means they add up to 90 degrees. We already said that the angle pair added up to 90 degrees, so the angle pair is complementary.
