A company that produces ribbon has found that the marginal cost of producing x yards of fancy ribbon is given by Upper C prime l
eft parenthesis x right parenthesisC′(x)equals=negative 0.00001 x squared minus 0.02 x plus 49−0.00001x2−0.02x+49 for x less than or equals 1400x≤1400, where Upper C prime left parenthesis x right parenthesisC′(x) is in cents. Approximate the total cost of manufacturing 14001400 yards of ribbon, using 5 subintervals over left bracket 0 comma 1400 right bracket[0,1400] and the left endpoint of each subinterval.
If two lines are parallel then they will have the same slope. So all you need to do is find the slope of the line that joins the two given points. You can use the slope formula . You can also graph the two points and use rise over run.
So it decreases by 11% which means by the next year it's worth 89% of the original price, write 89% like a decimal. then put it to the power of 4 (4 years) and multiply by the original number .89 ^ 4 * 12250 = 7685.92
