Answer:
3 ln 4 + 3 lna
Step-by-step explanation:
In (4a)^3
We know that ln x^y = y ln x
3 ln (4a)
We also know that ln (xy) = ln x + ln y
3( ln 4 + ln a)
3 ln 4 + 3 lna
Answer:
The total number of the payments is 18 ⇒ answer A
Step-by-step explanation:
* Lets revise the rule of compounded monthly payment
→ , where
- A is the loan amount
- r is monthly interest in decimal (R/12*100))
- n the total number of payments
∵ A = $1100
∵ EMI = $71.5
- Interest rate is 19.2% APR
∵ r =
- Substitute these values in the rule to find n
∴ 71.5 =
- By using cross multiplication
∴ 71.5[1 - ] = 17.6
- Divide both sides by 71.5
∴ 1 - =
- Subtract 1 from both sides
∴ - = -
- Multiply both sides by -1
∴ =
- By using cross multiplication
∴ 49[ ] = 65
- Divide both sides by 49
∴ =
- Insert log for both sides
∴ ㏒ = log( )
- Put n in-front of the ㏒
∴ n㏒(1.016) = ㏒( )
- Divide both sides by ㏒(1.016)
∴ n = 17.8 ≅ 18
* <em>The total number of the payments is 18</em>
The answer is b. Notice that the problem is looking for the reaction to product ratio, which is tricky because it's easy to follow the order of the column and calculate the inverse of it. Check the first ratio, 0.3/2=0.15, we can immediately choose b out of the other 4 choices.
Answer:
Area = 996 in^2
Step-by-step explanation:
First, look at the triangle on top, well, like half of it. You can use Pythagorean theorem to find the missing side. See image. Double it to find the base of the whole triangle. Use Area of a triangle:
= 1/2 b•h
to find the area of the top (the triangle).
The 24, used for the triangle base is also the side length of the square below. See image.
Area of a square is:
Area = s^2
OR, just l×w or b×h,
all the same.
Add together the triangle area and the square's area for the final answer. See image.