Answer:
The height of the prism is 8 cm.
Step-by-step explanation:
2*X*4=64
8X=64
X=8
Y=-3x+7
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Answer:
Step-by-step explanation:
5.
point = (x, y)
A = (
, 12)
B = (
, 20)
C = (3, 24)
D = (
, 28)
y/x ratios


24/3

6.
(1 2/3, 3 1/3) = 3 1/3 ÷ 1 2/3 = 2
(1 1/4, 2 1/2) = 2 1/2 ÷ 1 1/4 = 2
(3, 7) = 7 ÷ 3 = 2 1/3
(4 1/2, 9) = 9 ÷ 4 1/2 = 2
The ratio 7/3 (x = 3 and y = 7) is not proportionally related to the others.
The other ratios are equal to each other and are therefore in proportion.
7. yes
The amount for the investment of $6000 will be a.$6369 b. $6090 and c.$6030.
<h3>What is compound interest?</h3>
Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-
![A=P[1+\dfrac{r}{n}]^{nt}](https://tex.z-dn.net/?f=A%3DP%5B1%2B%5Cdfrac%7Br%7D%7Bn%7D%5D%5E%7Bnt%7D)
a) The amount in the bank after 6 years if interest is compounded annually.
![A=P[1+\dfrac{r}{1}]^{t}\\\\\\A=6000[1+\dfrac{0.01}{1}]^{ 6}](https://tex.z-dn.net/?f=A%3DP%5B1%2B%5Cdfrac%7Br%7D%7B1%7D%5D%5E%7Bt%7D%5C%5C%5C%5C%5C%5CA%3D6000%5B1%2B%5Cdfrac%7B0.01%7D%7B1%7D%5D%5E%7B%20%206%7D)
A= $6369
b) The amount in the bank after 6 years if interest is compounded quarterly.
![A=P[1+\dfrac{r}{4}]^{4t}\\\\\\A=6000[1+\dfrac{0.01}{4}]^{4\times 6}](https://tex.z-dn.net/?f=A%3DP%5B1%2B%5Cdfrac%7Br%7D%7B4%7D%5D%5E%7B4t%7D%5C%5C%5C%5C%5C%5CA%3D6000%5B1%2B%5Cdfrac%7B0.01%7D%7B4%7D%5D%5E%7B4%5Ctimes%206%7D)
A= $6090
c ) The amount in the bank after 6 years if interest is compounded monthly.
![A=P[1+\dfrac{r}{12}]^{4t}\\\\\\A=6000[1+\dfrac{0.01}{12}]^{12\times 6}](https://tex.z-dn.net/?f=A%3DP%5B1%2B%5Cdfrac%7Br%7D%7B12%7D%5D%5E%7B4t%7D%5C%5C%5C%5C%5C%5CA%3D6000%5B1%2B%5Cdfrac%7B0.01%7D%7B12%7D%5D%5E%7B12%5Ctimes%206%7D)
A=$6030
Hence the amount for the investment of $6000 will be a.$6369 b. $6090 and c.$6030.
To know more about Compound interest follow
brainly.com/question/24924853
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Use a/ 1-r
Where a = 18 and r = 1.2
18/ 1 - 1.2 = 18/-.2 = -90
Because the answer is below 1. The sum does not exist therefore it diverges.