Answer: C. $5,470
Step-by-step explanation:
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 = $5000
r = 1.8% = 1.8/100 = 0.018
n = 4 because it was compounded 3 times in a year(12/4 = 3 times)
t = 5 years
Therefore,
A = 5000(1 + 0.018/4)^4 × 5
A = 5000(1 + 0.0045)^20
A = 5000(1.0045)^20
A = $5470 to the nearest whole number
Answer:
The product of 8/3 and 6/5/is greater than 8/3.
Step-by-step explanation:
(8/3)*(6/5) = (8*6)/(3*5) = 48/15
16/5. = 3.2 and 8/3 = 2.7
Answer:
83,491.67 dollars
Step-by-step explanation:
Given that a certain electronics manufacturer ound that the average cost C C to produce x DVD/Blu- ray players can be found using the equation 
To find the minimum average cost per machine we can use derivative test.
we find first and second derivative.
If for a particular value of x first derivative is 0 and second derivative is positive, then that x satisfies the minimum cost criteria.

Second derivative is always positive
I derivative =0 gives

For 83 players the cost would be minimum
Minimum cost = 
Answer/Step-by-step explanation:
a. Using two points on the line (0, 2) and (4, 12), find the gradient:
Gradient = ∆y/∆x = (12 - 2) / (4 - 0) = 10/4 = 2.5
Gradient = 2.5
b. The gradient, 2.5, represents the unit rate. That is, the volume of the oil in the tank per second.
i.e. 2.5 litres per second
c. The value, L = 2 represents the y-intercept, which is the starting value or initial volume of oil in the tank at 0 secs.
Answer:N
Step-by-step explanation: