Answer:
0.4077
Step-by-step explanation:
It's important to use parenthesis to avoid confusion.
9^(2x) = 6
Use exponent properties:
(9^2)^x = 6
81^x = 6
Take log of both sides
ln(81^x) = ln(6)
Use log properties:
x ln(81) = ln(6)
Solve for x:
x = ln(6) / ln(81)
x ≈ 0.4077
Answer:
My guess is A. Forgive if I'm wrong.
To simplify mixed numbers, Divide 13 and 7. We get 1 R 6. Since the remainder is out of 7, the mixed number would be 1 6/7
Hope this helps!
Answer:
$102.96
Step-by-step explanation:
Lets take this one part at a time.
the dealership pays 12000 for the car, so they start at -12000 for how much money they have.
The dealership wants to make a 32% profit. This means they want to make back the 12000 plus 32% of that. what is 32% of 12000? just multiply 12000 bty .32 In the end it works out that the price they sell it for is 15840
I do want to mention that there is a chance the 32% might also be accounting the bonus. So in other words the dealership spent 12000 for the car then however much in paying the bonus, and they want to make a 32% profit on both of these combined. I do not think that is what it is asking for, but I wanted to mention it.
Anyway, with a sales price of $15,840 it says the bonus is 6.5% of that. to find that just do the multiplication .065 * 15840 = 1029.60. So this is the bonus normally.
Now the question says the salesperson offers a 10 percent discount. This changes the sales price (by 10%) and the bonus they earn. let's calculate both.
First 10% discount of the sales price is .9*15840 = 14,256
Then 6.5% of that is .065*14256 = 926.64 So this is the new bonus.
The question wants the difference of the two bonuses, and difference is subtraction. so 1029.60 - 926.64 = 102.96 So if the salesperson offers a 10% discount they lose $102.96
