Answer:
9 units²
Step-by-step explanation:
A differential of area is ...
dA = ((2y -y²) -(y² -4y))·dy = (-2y² +6y)·dy
The indefinite integral of this will be ...
a = -2/3y³ +6/2y²
Then the definite integral over the limits [0, 3] will be ...
(-2/3·3³ +3·3²) - 0 = 9 . . . . square units
Answer:
$8960
Step-by-step explanation:
Given
principal = $8000
rate= 3%= 0.03
time = 4 years
Required
the final amount, we assume that this is a simple interest investment.
Step two:
The final amount in the account is $8960
Answer:
2(+2)(+3)
Step-by-step explanation:
Answer:
The rock will take about 4.5 seconds to reach the river
Step-by-step explanation:
* lets study the situation of the rock
- The rock is dropped means the initial velocity is zero
- The motion is free fall under earth gravity
- The rock dropped from a bridge 320 feet above the river
- The equation of the pathway is h = -16t² + 320
- When the rock reach to the ground the height will be zero
* Now lets substitute h by zero in the equation to find t
∵ h = -16t² + 320
∵ h = 0
∴ 0 = -16t² + 320 ⇒ add 16t² to both sides
∴ 16t² = 320 ⇒ divide both sides by 16
∴ t² = 320/16 = 20
∴ t² = 20 ⇒ take √ for both sides
∴ t = √20 = 2√5 ≅ 4.5 seconds
* The rock will take about 4.5 seconds to reach the river
Answer:
Excess time = 1.2 hour
Step-by-step explanation:
Given:
Total time = 24 hours
Talking on phone = 17 %
Sleeping = 33%
Going to school = 25%
Studying = 4%
Eating = 8%
Computation:
Watching TV percent = 100% - Talking on phone - Sleeping - Going to school - Studying - Studying - Eating
Watching TV percent = 100% - 17% - 33% - 25% - 4% - 8%
Watching TV percent = 13%
Time taken by school = 24 x 25%
Time taken by school = 6 hour
Time taken by watching T.V. and Talking on the Phone = 24 x (13% + 17%)
Time taken by watching T.V. and Talking on the Phone = 7.2 hour
Excess time = 7.2 - 6
Excess time = 1.2 hour
