Answer:
The new volume is 14,850cm³
Step-by-step explanation:
Given
Volume of a rectangular prism = 550cm
Required
Value of volume when the dimensions are tripled.
The volume of a rectangular prism is calculated using the following formula.
V = lbh
<em>When Volume = 550, the formula is written as follows</em>
550 = lbh
<em>Rearrange</em>
lbh = 550
However, when each dimension is tripled.
This means that,
new length = 3 * old length
new breadth = 3 * old breadth
new height = 3 * old height
<em>Let L, B and H represent the new length, new breadth and new height respectively</em>
In other words,
L = 3l
B = 3b
H = 3h
Calculating new volume
New volume = LBH
Substitute, 3l for L, 3b for B and 3h for H;
V = 3l * 3b * 3h
V = 3 * l * 3 * b * 3 * h
V = 3 * 3 * 3 * l*b*h
V = 27 * lbh
Recall that lbh = 550
So,
V = 27 * 550
V = 14,850
Hence, the new volume is 14,850cm³
Answer:
5.1%
Step-by-step explanation:
The proceeds of the loan are ...
13000 -625 = 12375
The amount repaid is 13000. That amount is ...
13000/12375 = 1.05050505...
times the proceeds. So, the effective interest rate is ...
1.05051 -1 = 5.051% ≈ 5.1%
Answer:
A) h(x)=9x-13
Step-by-step explanation:
f(x) = 2x - 1
g(x) = 7x -12
Add them together
f(x) = 2x - 1
g(x) = 7x -12
-------------------------
f(x)+g(x) = 9x-13
h(x) = 9x-13
Answer:
The bank loan out at $5000 at 9%
Step-by-step explanation:
A bank loaned out $20,000
Let x be the amount loaned at at the rate of 9% per year
So, 20000-x amount loaned at at the rate of 17% per year
Formula : 
Amount at 9% interest in 1 year
A=1.09x
Interest = Amount - Principal = 1.09x-x=0.09x
Amount at 17% interest in 1 year
A=1.17(20000-x)
Interest = Amount - Principal = 1.17(20000-x)-(20000-x)
We are given that the interest received in one year totaled $3000
So,1.17(20000-x)-(20000-x)+0.09x=3000
x=5000
So, the bank loan out at $5000 at 9%
Its a 108 pounds in total
