Symbolically, write this:
C
7 5. Know how to evaluate that?
C stands for "combination."
Answer:
x = 13sqrt(3) ft = 22.5 ft
y = 13 ft
Step-by-step explanation:
The triangle is a 30-60-90 right triangle.
The ratio of the lengths of the sides is
short leg : long leg : hypotenuse = 1 : sqrt(3) : 2
From the ratio above we see that the hypotenuse is twice the short leg.
The long leg is sqrt(3) times the short leg.
y = short leg
x = long leg
26 ft = hypotenuse
y = 26 ft/2 = 13 ft
x = 13 ft * sqrt(3) = 13sqrt(3) ft = 22.5 ft
Answer: he would have $343.47 after 2 years.
Step-by-step explanation:
if he leaves his interest from the first year in the bank, we would assume that his interest was compounded. We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $300
r = 7% = 7/100 = 0.07
n = 1 because it was compounded once in a year.
t = 2 years
Therefore,.
A = 300(1 + 0.07/1)^1 × 2
A = 300(1.07)^2
A = $343.47
Answer:
Step-by-step explanation:
Given
Required
The dimension that minimizes the cost
The volume is:
This gives:
Substitute
Make H the subject
The surface area is:
Area = Area of Bottom + Area of Sides
So, we have:
The cost is:
Substitute: and
To minimize the cost, we differentiate
Then set to 0
Rewrite as:
Divide both sides by W
Rewrite as:
Solve for 
Take cube roots
Recall that:
Hence, the dimension that minimizes the cost is:
