Answer:
$46,053
Step-by-step explanation:
- Convert 29% into a decimal, which is 0.29.
- Multiply $35,700 by 29% as a decimal (0.29), which is 10,353.
- Since the keyword is more, we want to add $35,700 and 10,353 (29% of $35,700). The answer will be $46,053.
This is a problem you need to solve using logs. When you use logs you can "pull" the exponents down in front of the log to get a new equation that looks like this: 2x^3 + x^2 log 81 = 6x - 3 log 27. Now divide both sides by log 81 and 6x - 3 simultaneously to get (2x^3 + x^2)/(6x - 3) = (log 27)/(log 81). If you do the log math on the right side you get .75. Now multiply both sides by 6x-3 to get 2x^3+x^2 = .75(6x-3). If you distribute that out on the left side you'll get 2x^3+x^2=4.5x-2.25. Now move everything over to the left side and set the whole thing equal to 0: 2x^3+x^2-4.5x+2.25=0. When you solve for x, you are in essence factoring, so do this by grouping: x^2(2x+1)-2.25(2x+1). Now finally factor out the 2x+1 to get (2x+1)(x^2-2.25). You're not done yet though cuz you need to solve each of those for x: 2x+1=0, and x= -1/2; x^2=2.25, and x=+/- 1.5. So all the values for x here are -1/2, 1.5, and -1.5
1,000 = 10^3 (3 because there are 3 digits after the first one)
2,000 = 2 * 10^3
-6x + 3 + x - 7...when ur adding expressions such as this, and there is a plus sign in between them, the parenthesis are not needed.
we now combine like terms...
-6x + x = -5x
3 - 7 = -4
and we are left with : -5x - 4 <==
