A person invests 3500 dollars in a bank. The bank pays 6.25% interest compounded annually. To the nearest tenth of a year, how l
1 answer:
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Answer:
Time taken by Franklin to shovel alone is 65.5 minutes.
Step-by-step explanation:
Let the time taken by Franklin to shovel alone = x minutes.
Since, the time taken by Angela to shovel = 180 minutes and the time taken by both = 48 minutes.
Then, we have,
Amount of shoveling done in 1 minute by Angela =
Amount of shoveling done in 1 minute by both =
Amount of shoveling done in 1 minute by Franklin=
So, we have,
i.e.
i.e.
i.e.
i.e.
i.e. x= 65.5 minutes
Thus, the time taken by Franklin to shovel alone is 65.5 minutes.
Answer:
The equation of the sphere with center (-2, 3, 7) and radius 7 is .
The intersection of the sphere with the yz-plane is .
Step-by-step explanation:
We know that any sphere can be represented by the following equation:
Where:
,
,
- Coordinates of the center of the sphere, dimensionless.
- Radius of the sphere, dimensionless.
If and
, we obtain this expression:
The intersection of the sphere with the yz-plane observe the following conditions:
,
,
Hence, the expression above can be reduced into this: