Answer:
x=3
Step-by-step explanation:
the volume of the prism with triangular base is 54 unit³
The base is a triangle with, base i.e 4 units and height i.e x units
Also, height of the prism = 3x
So, volume of the prism is,
And
,
Then,
As the volume is given as 54 unit³, hence
6x²=54
x²=9
x=3
Answer:
E. None of these answers is reasonable.
Step-by-step explanation:
Customary units are inches, feet, yards, and miles.
Since,
1 foot = 0.3048 meters,
⇒ 1 meter = feet,
17.42 meters = feet
Now, 1 feet = 12 inches,
⇒ feet =
inches
=
Hence,
17.42 meters =
= 57' 232/127''
That is, None of these answers is reasonable.
Solution :
Given :
Principal amount deposited, P = $ 6000
Rate of interest, r = 5%
Number of years, t = 4 years
When the deposited amount is compounded semiannually, i.e. n = 2
Therefore,
Future value,
= 6000 x 1.2184
= 7310.4
Therefore, after 4 years there will be $ 7310.4 in the amount when compounded semi annually.
When the deposited amount is compounded quarterly, i.e. n = 4
Therefore,
Future value,
= 6000 x 1.219889
= 7319.334
Therefore, after 4 years there will be $ 7319.334 in the amount when compounded quarterly.
When the deposited amount is compounded monthly, i.e. n = 12
Therefore,
Future value,
= 6000 x 1.22089
= 7325.34
Therefore, after 4 years there will be $ 7325.34 in the amount when compounded monthly.