Find the rate of change in luxury purchases in a certain country with respect to time in years

ount and the regular contribution change over time. ​$ 695 per month invested at 6​%, compounded​ monthly, for 3 ​years; then ​$795 per month invested at ​%7, compounded​ monthly, for3 years. What is the amount in the account after 6 ​years? ​$ nothing ​(Do not round until the final answer. Then round to the nearest dollar as​ needed.)

Find A) the principle at the beginning of the 300 days B) ammount in the account at the end of the 300 days

le above gives values of the functions and their first derivatives as selected values of x. The function h is given by the equation h(x) = f(g(x))-6 b) find the rate of change of h for the interval 1>x>3. Graph in picture

ble above gives values of the functions and their first derivatives as selected values of x. The function h is given by the equation h(x) = f(g(x))-6 a) find h’(3) b) find the rate of change of h for the interval 1>x>3. Graph in picture

e was $53.50. Assuming that the rate increase per year is constant, find a linear cost function to model the increase in cable rates. Let x= the number of years after 1990, and C(x) equal the cable TV charges.

itially, the balloon contains 4 ft3 of hydrogen and it takes 14 seconds to com- pletely fill the balloon. (a) At what rate is the balloon filled? (b) Find a linear function V that models the volume of hydrogen in the balloon at any time t. (c) What can you say about the graph of V ? (You do not need to sketch the graph.)

44t, where t is the time in seconds. Find the average rate of change in the height of the firework from when it reaches the maximum height until when it reaches the ground.

the account and the regular contribution change over time. ​$540 per month invested at 5​%, compounded​ monthly, for 3 ​years; then ​$701 per month invested at 6​%, compounded​ monthly, for 3 years. What is the amount in the account after 6 ​years?

of 0.5 ms^-2.If it can accelerate at a constant rate of 0.25ms^-2 find the shortest time in which it can travel from rest in one station to rest in the next station 10km away.

producer's surplus if the equilibrium price of a unit $ 99 .A retailer anticipates selling 7600 units of its product at a uniform rate over the next year. Each time the retailer places an order for x units, it is charged a flat fee of $ 100 . Carrying costs are $ 38 per unit per year. How many times should the retailer reorder each year and what should be the lot size to minimize inventory costs? What is the minimum inventory cost? For a particular commodity, the demand function is q = 1 4 ( 400 − p 2 ) . a . Find ε when p = 8 .A hotel rents 240 rooms at a rate of $ 60 per day. For each $ 1 increase in the rate, three fewer rooms are rented. Find the room rate that maximizes daily revenue.

't change, but throughout the night the height of the mattress is decreasing. The rate at which it decreases varies over time: at the beginning it is just shrinking a tiny bit, but after a while it starts shrinking faster. If the height of the of the mattress follows the formula h=18-0.2x^2, where h is the height in inches and x is the time in hours, and the length of the mattress is always 74 inches, and the width of the air mattress is always 54 inches, please find the rate at which the VOLUME of the air mattress is changing after 2 hours. V ' = cubic inches per hour after 2 hours. (Round to one decimal place, but take a picture of your work and send it to me if you're worried your answer might be slightly off.)

vings account which credited dividend at the end of each month at a rate of 0.25%. Below are the data table. then there is a table and the question is find the scale of measurement for the dividend

ate of each hiker if one hike or walk 2.6 mph faster than the other.