Remark
The basic equation is y = mx + b
y = the total amount of money
m = The amount of money he save each month (it is a constant).
b = the y intercept which is his starting amount or 120 dollars.
x = the number of months (this is a variable).
After 3 months he has 840 dollars. That's y
840 = 3*m + 120 Subtract 120 from both sides
840 - 120 = 3m
720 = 3m
240 = m So he saves 240 every month.
Now the equation becomes.
y = 240 * x + 120
Savings after 24 months
y = Total
m = 240 dollars/month
x = 24 months
b = 120
y = 24*240 + 120
y = 5760 + 120
y = 5580
He had 5580 dollars after saving for 2 years (or 24 months total) This assumes that when he started, he took his birthday money and added a 1 month payment to it
Answer: c) 300 copies
Step-by-step explanation:
Let x represent the number of copies that you must sell to break even.
You decide to market your own custom computer software. You must invest 3,255 for computer hardware,and spend 2.90 to buy and package each disk. This means that the total cost of producing each software would be
3255 + 2.9x
If each program sells for $13.75, it means that the total revenue from selling each software would be
13.75x
In order to break even, total cost would be equal to total revenue. Therefore,
3255 + 2.9x = 13.75x
13.75x - 2.9x = 3255
10.85x = 3255
x = 3255/10.85
x = 300 copies
9514 1404 393
Answer:
(3) 12
Step-by-step explanation:
Let x represent the length of leg XY. Then the length of YZ is x/2 and the area of the right triangle is ...
A = 1/2bh
A = 1/2(x)(x/2) = x²/4
36 = x²/4 . . . . . use the given value for area
144 = x² . . . . . . multiply by 4
√144 = 12 = x . . . . . take the square root
The length of leg XY is 12 cm.
