Answer:
40
Step-by-step explanation:
In word problems, the word "of" usually means multiply. Thus, for example, 10% of $50 is $5. This is because we can write 10% as 0.10 or as 10/100 (which is 1/10) and then multiply: (1/10)(50) = 5
So, we often see equations like:
R = (1/2)D meaning R is 50% of D, or R is half of D
Let x = the number we want to find
This problem says:
"12 is 30% of what number?"
12 = (30/100) * x
12 = (3/10)x
(10/3)12 = x [multiply both sides by (10/3)]
40 = x
Checking (very important):
Is 12 = (3/10)(40) ?
12 = (3)(4) ?
12 = 12 ? yes
A=p (1+I/k^kn
A future value ?
P principle 3700
i interest rate 0.0184
K compounded quarterly 4
N time 6 years
A=3,700×(1+0.0184÷4)^(4×6)
A=4,130.84
Interest earned=A-p
4,130.84−3,700=430.84
Hope it helps:-)
Answer:
You have not mentioned the joining points so I have joined the points WZ and XY and plotted in the graph. It seems that the lines WZ and XY are perpendicular.
Option B: 36 : 1 is the ratio of the surface area of Solid A to Solid B
Explanation:
Given that the Solid A is similar to Solid B.
The volume of Solid A is 3240 m³
The volume of Solid B is 15 m³
We need to find the ratio of the surface area of Solid A to Solid B.
Thus, we have,
![\frac{SA \ of \ Solid A}{SA \ of \ Solid B}=\sqrt[3]{\frac{3240}{15}}](https://tex.z-dn.net/?f=%5Cfrac%7BSA%20%5C%20of%20%5C%20Solid%20A%7D%7BSA%20%5C%20of%20%5C%20Solid%20B%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3240%7D%7B15%7D%7D)
Dividing the terms, we get,
![\frac{SA \ of \ Solid A}{SA \ of \ Solid B}=\sqrt[3]{\frac{216}{1}}](https://tex.z-dn.net/?f=%5Cfrac%7BSA%20%5C%20of%20%5C%20Solid%20A%7D%7BSA%20%5C%20of%20%5C%20Solid%20B%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B216%7D%7B1%7D%7D)
Taking cube root, we get,

Squaring the ratios, we get,


Thus, the ratio of the surface area of Solid A to Solid B is 36 : 1
Hence, Option B is the correct answer.