Answer:
x = 20
x = 140
Step-by-step explanation:
Find the equation for profit P
P = R - C
Substitute the equations for R and C then simplify.
P = 100x − 0.5x² - (20x + 700)
P = -0.5x² + 80x - 700
Find the values of x when profit is $700
P = -0.5x² + 80x - 700
700 = -0.5x² + 80x - 700
0 = -0.5x² + 80x - 1400
This is in the standard form 0 = ax² + bx + c
Use the quadratic formula to find values of x
(Ignore Â)
Substitute a b and c.
a = -0.5
b = 80
c = -1400
Split the formula at the ± so that there are two to get the two x values.
x = 20
x = 140
The profit will be $700 when x is 20 or when x is 140.
I pound of carrots would cost 13 pounds
Answer:
$45
Step-by-step explanation:
We are given the following information;
- Money invested (Principal) is $300
- Rate of interest is 5% per annum
- Time the money is invested is 3 years
We need to determine the amount of interest the money will earn after three years.
- Simple interest is calculated by the formula;
- Simple interest =(PRT) ÷ 100, Where P is the principal amount, R is the rate of interest and T is the time.
Therefore, in this case;
Simple interest = ($300 × 5 × 3) ÷ 100
= $45
Thus, the money invested earned a simple interest of $45
P = Number of ways of getting only 4 at the last trial / Total number of waysNumber of ways of getting only 4 at the last trial = 5 * 5 * 5 * 1 = 125 (for the first three trials, all but 4 is permissible (6 - 1 = 5 ways), and for the last trial, only 4 is permissible (1 way)).Total number of ways = 6 * 6 * 6 * 6 = 1296.P = 125/1296.
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