Answer:
$565.73 and the interest is $90.73
Step-by-step explanation:
A=475(1+0.061)^1⋅3
A=475⋅1.063
A=475⋅1.191016
A=565.73
To find interest:
A=P+I
565.73II=475+I
I=565.73−475
I=90.73
Answer:the number of gallons of water left is 3.5
Step-by-step explanation:
The initial amount of water in the container is 4 3/8 gallons. Converting 4 3/8 gallons to improper fraction, it becomes 35/8 gallons of water.
A hole in the container causes 7/8 gallon to leak out. The number of gallons of water left in the container would be
Initial amount - amount that leaked. It becomes
35/8 - 7/8 = 28/8 = 3 4/8 = 3.5 gallons of water
The height of the cone 4 inches.
Step-by-step explanation:
Given,
Volume of cylinder and cone is same.
For cylinder
Radius (r) = 2 inches
Height (h) = 3 inches
For cone
Radius (r) = 3 inches
To find the height of cone say H
Formula:
Volume of cylinder = π![r^{2} h](https://tex.z-dn.net/?f=r%5E%7B2%7D%20h)
Volume of cone =
π![r^{2} h](https://tex.z-dn.net/?f=r%5E%7B2%7D%20h)
According to the problem,
π
=
π![3^{2} H](https://tex.z-dn.net/?f=3%5E%7B2%7D%20H)
or, H = ![\frac{3X2^{2}X3 }{3^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B3X2%5E%7B2%7DX3%20%7D%7B3%5E%7B2%7D%20%7D)
or, H = 4
Hence,
The height of the cone 4 inches.
Answer:
15
Step-by-step explanation:
As we can see, we have the total ratio as;
5 + 2 + 1 = 8
Total of NQ is 24
The ratio accorded to NO is 5
so we have the length of NO as;
5/8 * 24 = 15
Answer:
14.35 grams
Step-by-step explanation:
Amount left, in grams = (970 grams)(1.000 - 0.277)^m, where m is the number of minutes. This is exponential decay.
Amout left = (970 grams)(0.723)^13 = (970 grams)(0.01475), or 14.35 grams