Given Information:
Area of rectangle = 16 square feet
Required Information:
Least amount of material = ?
Answer:
x = 4 ft and y = 4 ft
Step-by-step explanation:
We know that a rectangle has area = xy and perimeter = 2x + 2y
We want to use least amount of material to design the sandbox which means we want to minimize the perimeter which can be done by taking the derivative of perimeter and then setting it equal to 0.
So we have
xy = 16
y = 16/x
p = 2x + 2y
put the value of y into the equation of perimeter
p = 2x + 2(16/x)
p = 2x + 32/x
Take derivative with respect to x
d/dt (2x + 32/x)
2 - 32/x²
set the derivative equal to zero to minimize the perimeter
2 - 32/x² = 0
32/x² = 2
x² = 32/2
x² = 16
x = 
ft
put the value of x into equation xy = 16
(4)y = 16
y = 16/4
y = 4 ft
So the dimensions are x = 4 ft and y = 4 ft in order to use least amount of material.
Verification:
xy = 16
4*4 = 16
16 = 16 (satisfied)
15 because 3 is one serving and multiplied by 5 servings is 25
Answer:
43% of the students prefer biology
Step-by-step explanation:
Among girls:
39 of the students are girls.
21 of the girls like biology best.
Boys:
100 - 39 = 61 are boys.
16 prefer physics
11 out of the 34 who prefer chemistry are girls, so 34 - 11 = 23 are boys.
61 - (16 + 23) = 22 prefer biology.
What percentage of the students prefer biology?
21 boys and 22 boys, that is, 43 students out of 100. So
43*100%/100 = 43%
43% of the students prefer biology
Answer: interest = $ 3,629.34
Step-by-step explanation:
Complete question
(Marlie will be starting college next year, federal unsubsidized student loan in the amount of $18,800 at 4.29%. She knows that during this non-payment time, interest will accrue at 4.29%. Suppose Marlie only paid the interest during her four years in school and the six-month grace period. What will she now pay in interest over the term of the loan.)
This question relates to interest over a single period of time and since it's not compounded, we use formula for simple interest to calculate the interest accrued.
Data;
P = $18,800
R = 4.29% = 0.0429
T = 4.5 years
S.I = ?
S.I = PRT
S.I = 18,800 * 0.0429 * 4.5
S.I = $3,629.34
Therefore she'll need to pay $3,629.34 as interest accrued.
14 times 2 plus 4
28 plus 4
32. your answer is 14 times 2 plus 4
