So your present value is 7750. this is what you have now. they give you the intesrest rate which is 4% and how the amount of year is 5.
recall the formula for a compounded continously is
P×e^(r×t)
the answer is 7750×e^(.04×5)
Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²
About 175 ninth grade boys. 2/25 is equal to 0.08. if we take the 14 students and divide it by 0.08, we can get the total of 175 ninth grade boys.
8 jars because you subtract 0.56 from 6. Afterwards, you divide the difference which is 5.44, by 0.68 and get eight.
It will take 1 MINUTE for the horse to overtake the train.
<span>(56 – 50) 6 km/hr
</span><span>0.1/6 = 1/60 hr = 1 min </span>
