Ben has 4 dimes and 12 nickels
<em><u>Solution:</u></em>
Let "d" be the number of dimes
Let "n" be the number of nickels
We know that,
value of 1 dime = $ 0.10
value of 1 nickel = $ 0.05
<em><u>Ben had three times as many nickels as dimes</u></em>
Number of nickels = 3 times the number of dimes
n = 3d --------- eqn 1
<em><u>The total value of his coins was $1</u></em>
<em><u>Therefore, we frame a equation as:</u></em>
number of dimes x value of 1 dime + number of nickels x value of 1 nickel = 1
<em><u>Substitute d = 4 in eqn 1</u></em>
n = 3(4)
n = 12
Thus Ben has 4 dimes and 12 nickels
Square root each side
x-5=positive/negative 9
x=14, and -4
9.8, square root of 109, square root of 128
Answer:
y - 12 = (-4/5)(x + 1)
Step-by-step explanation:
Let's use the point-slope formula y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.
1. Find the slope. As we go from (-1, 12) to (4, 8), x (the run) increases by 5 and y (the rise) decreases by 4. Thus, the slope is m = rise/run = -4/5.
2. Plug into the formula (given above) the following:
-4/5 for m, -1 for x and 12 for y:
y - 12 = (-4/5)(x + 1)
Answer:
(a) 11.75%
(b) Profit decreases by $5.88 per calculator.
Step-by-step explanation:
(a) The percentage of failures with time is given by the following expression:
Integrating this function from x = 0 to x = 1 year, gives us the percentage of failures in the first year:
11.75% of the calculators will fail within the warranty period.
(b) If the cost of a calculator is $50, and the profit per sale is $25, the average revenue per calculator is $75. Considering no income in failed calculators, the new cost per calculator is:
The effect of warranty replacement on profit is given by the difference in cost per calculator:
Profit decreases by $5.88 per calculator.