9514 1404 393
Answer:
C) 12y 8m
Step-by-step explanation:
The amount of principal P at compound monthly at interest rate r per year is given by ...
A = P(1 +r/12)^(12t) . . . . after t years
Here, we want to find t, so ...
A/P = (1 +r/12)^(12t)
log(A/P) = (12t)·log(1 +r/12)
t = log(A/P)/(12·log(1 +r/12))
Filling in the given values, we find t to be ...
t = log(8000/4000)/(12·log(1 +0.055/12)) ≈ 12.6315 ≈ 12 years 7.6 months
It will take about 12 years 8 months to double the money.
Answer: 80 ounces of yellow paint
Working:
As we know 2 ounces of yellow paint to 5 ounces of red paint, we can make a ratio:
2:5
Then we look at the question which says 200 ounces of red paint, so we replace the 5 ounces of red paint in the ratio with 200.
2:200
Then we figure out how much the 5 has been multiplied by to get to 200. We do this by doing
200 divide 5 = 40
Therefore we times the 2 ounces of yellow paint by 40 which gets us:
80:200
We can think of it as a fraction too to confirm our answer:
Simplify 80 / 200
We get 2 / 5.
If you need me to further explain something please just ask :)
Answer:
Ethan
Step-by-step explanation:
Divide the miles by the gallons of gas
Answer:
x=6/5
Step-by-step explanation:
Answer:
<h2>The right answer is 415.4 cubic feet.</h2>
Step-by-step explanation:
As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.
We need to find the volum of each part separately.
<h3> Square prism.</h3>

<h3>Square pyramid.</h3>
First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.
Let's use Pythagorean's Theorem to find the height of the pyramid.

The height is 4.3 feet, approximately.
Now, we find the volume of the pyramid

The sum of both figures represents the total volume of the composite figure

Therefore, the right answer is 415.4 cubic feet.