Answer:
The interest rate per year is 0.1
Step-by-step explanation:
The equation is A = P(1+rt)
Substitute the numbers
3500 = 2500 (1+4r)
solve for r:
Answer:
the answer is -4
Step-by-step explanation:
step 1: -7m<28
step 2: -7m÷ (-7)>28÷(-7)
step 3: m>28÷(-7)
step 4: m>-28÷7
step 5: m>-4
Answer:
where is example 2?
Step-by-step explanation:
We can create two equations here:
(1) Volume = area of square * height of box
85.75 = s^2 h
(2) Cost = 3 * area of square + 1.5 * area of side box
C = 3 s^2 + 1.5 s h
From (1), we get:
h = 85.75 / s^2
Combining this with (2):
C = 3 s^2 + 1.5 s (85.75 / s^2)
C = 3 s^2 + 128.625 s-
Taking the 1st derivative and equating dC/ds =
0:
dC/ds = 6s – 128.625 / s^2 = 0
Multiply all by s^2:
6s^3 – 128.625 = 0
6s^3 = 128.625
s = 2.78 cm
So h is:
h = 85.75 / s^2 = 85.75 / (2.78)^2
h = 11.10 cm
So the dimensions are 2.78 cm x 2.78 cm x 11.10 cm
The total cost now is:
C = 3 (2.78)^2 + 1.5 (2.78) (11.10)
C = $69.47
