Answer:
x=40
Step-by-step explanation:
The sum of the angles of a triangle add to 180
x+102+38 = 180
Combine like terms
x + 140 = 180
Subtract 140 from each side
x+140-140 = 180-140
x = 40
Answer: $12
Step-by-step explanation:
The formula to calculate the compound interest , if the interest is compounded semi-annually :-
![A=P[(1+\dfrac{r}{2})^{2t}-1]](https://tex.z-dn.net/?f=A%3DP%5B%281%2B%5Cdfrac%7Br%7D%7B2%7D%29%5E%7B2t%7D-1%5D)
, where P = Principal amount
r = rate of interest ( in decimal)
t= Time ( in years)
Given : P= $1500
r= 1.6 % =0.016
t= 6 months = 
year [∵ 1 year = 12 months]
Then, the interest earned by Robert in 6 months will be :-
![A=1500[(1+\dfrac{0.016}{2})^{2\cdot\frac{1}{2}}-1]](https://tex.z-dn.net/?f=A%3D1500%5B%281%2B%5Cdfrac%7B0.016%7D%7B2%7D%29%5E%7B2%5Ccdot%5Cfrac%7B1%7D%7B2%7D%7D-1%5D)
![A=1500[(1+0.008)^{1}-1]](https://tex.z-dn.net/?f=A%3D1500%5B%281%2B0.008%29%5E%7B1%7D-1%5D)
![A=1500[1.008-1]](https://tex.z-dn.net/?f=A%3D1500%5B1.008-1%5D)
![A=1500[0.008]=12](https://tex.z-dn.net/?f=A%3D1500%5B0.008%5D%3D12)
Hence, Robert earned $12 as interest .
Answer: Your Answer to the equation is in the picture below.
Step-by-step explanation:
Answer:
first choice
Step-by-step explanation:
The volume of a rectangular prism is L*H*B.
So the volume of the rectangular prism pictured here is 24*10*8
The volume of a triangle prism is 1/2 *H*L*B.
So the volume of the triangle prism pictured here is 1/2 *6*24*8
The volume of the whole figure is the sum of the volume of the rectangular prism and volume of the triangular prism which is in this case:
24*10*8 + 1/2 *6*24*8.
Answer is the first choice.
(It wouldn't be third because 10 has nothing to with the triangular prism part)
