Answer:
2550
Step-by-step explanation:
1) So he borrowed 17,000
2) Simple interest is 5%
3) so 0.05 *17000 = 850
4)It takes the manager 3 years so, 850*3=2550
5) so 2550 is the total amount of interest the manager needs to pay
There were 14 hens and 18 pigs in the backyard
Step-by-step explanation:
Katie was visiting her grandpas farm
- She saw only hens and pigs
- Katie counted 32 heads and 100 feet in the backyard
We need to find how many hens and pigs in the backyard
Assume that there are x hens and y pigs in the backyard
∵ There are x hens and y pigs in the backyard
∵ There are 32 heads
∴ x + y = 32 ⇒ (1)
∵ Each hen has 2 feet
∵ Each pig has 4 feet
∵ There are 100 feet
∴ 2x + 4y = 100 ⇒ (2)
Let us solve the system of equations to find how many hens and pigs
Multiply equation (1) by -2 to eliminate x
∴ -2x - 2y = -64 ⇒ (3)
- Add equations (2) and (3)
∴ 2y = 36
- Divide both side by 2
∴ y = 18
Substitute the value of y in equation (1) to find the value of x
∵ x + 18 = 32
- Subtract 18 from both sides
∴ x = 14
There were 14 hens and 18 pigs in the backyard
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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Answer:
Therefore F=2.387 hours gives a minimum value of energy expenditure E.
Step-by-step explanation:
Given that,
The energy expended by a bird per day

Differentiating with respect to F

Again differentiating with respect to F

Now set E'=0




Now 
Since, E''>0 at F=2.387, So at F=2.387 , E has minimum value.
Therefore F=2.387 hours that minimizes energy expenditure.
Answer:
quadratic,711,increase
Step-by-step explanation: i got it right