Answer:
Step-by-step explanation:
Given the Total revenue R(x) = 2x
Cost C(x) = 0.01x²+0.3x+30 where;
x = 30 and dx/dt = 9units per day.
Rate of change of revenue dR/dt = dR/dx • dx/dt
dR/dt = 2dx/dt
dR/dt = 2(9) = $18
Rate of change of revenue with respect to time is 18dollars/day.
Rate of change of cost dC/dt = dC/dx • dx/dt
dC/dt = (0.02x+0.3)dx/dt
dC/dt at x = 30 and dx/dt = 9 will give;
dC/dt = {0.02(30)+0.3}×9
dC/dt = (0.6+0.3) × 9
dC/dt = 0.9×9
dC/dt = $8.1
Rate of change of cost with respect to time is 8.1dollars/day
Profit = Revenue - Cost
Profit = 18-8.1
Daily Profit = $9.9
Answer:
$1125000
Step-by-step explanation:
45,000 x 25 = 1125000
Since the question didn't specify what values to calculate, I will assume that it is how much money was issued in total.
Present Value of an annuity is given by the formular
PV = P(1 - (1 + r)^-n)/r; where PV = $28,000, r = 0.081/12 = 0.00675, n = 35 and P is the periodic (monthly) payment.
P = PVr/(1 - (1 + r)^-n) = (28,000 x 0.00675)/(1 - (1 + 0.00675)^-35) = 189/0.2098 = 900.90
Therefore, the monthly payment is $900.90
Find the area of the top ( circle) then multiply by the height.
Area = pi x r^2
Area = pi x 7^2
Area = 49pi
Volume = 49pi x 15
Volume = 735pi cubic cm.
Answer:
6.75 hour is approximated to 7 hours
Step-by-step explanation:
Given
Time = 6.75 hours
Required
Round to the nearest hour
The time given is given in base 10 and the conversion can be done in two ways.
1. Convert directly by approximation.
Approximating 6.75 to the nearest whole number gives 7.
Hence, 6.75 hours = 7 hours
2. Convert to time equivalent then approximate time
This is done as follows

Convert decimal to fraction

Simplify to lowest term

Convert hour to minute
There are 60 minutes in an hour



The rule of time approximation is that; if the minutes is between 0 and 29, it'll be rounded to 0; else, it'll be rounded up to 1
Going by the rule, 45 minutes will be approximated to 1 hour.
This gives


Hence, 6.75 hour is approximated to 7 hours