Answer:

Step-by-step explanation:

Given integral:



Using <u>integration by parts</u>:


Therefore:





Therefore:



Divide both sides by 2:

Rewrite in the same format as the given integral:

I'm assuming that you meant 4x+1=3x?
Subtracting 4x, we get 1=-x. Multiplying by -1, we get x=-1 as the solution.
Hello from MrBillDoesMath!
Answer:
Interest paid = $ 1,713,568.73
Monthly p[payment = $4913.25
Discussion:
From the "compound interest formula:
A = final amount
P = Initial amount (Principal)
r = yearly interest rate
n = number of years of accumulation.
In our case,
A = 350000( 1 + .052)^35 =
350000 (5.90) = (approx)
$2,063,568.73
Interest = $2,063,568.73 - 350000 = $ 1,713,568.73
There are 35 *12 = 420 months in 35 years. So the monthly payment would be ($2,063,568.73 / 420) = $4913.25
Thank you,
MrB
Answer: 8 whole gallons.
Step-by-step explanation: If you have only $27.00 and you need to buy gas, but each gallon is $3.15, then you just need to divide your total amount ($27.00) by your cost per gallon ($3.15), and you will get about 8.6 gallons, however this question asks for how many WHOLE gallons you can get, so all you need to do is round down to fit your budget, leaving money for only 8 whole gallons.
WORK: ($27.00) / ($3.15) = 8.6 gallons
D would be the most reasonable because the whole set up adds up to 10 and you only have a chance of drawing all of the colors in a row