18 laps in 3 days = laps in 1 day %3D

Q: A factory produces bicycles at a rate of 95 + 3t2 − t bicycles per week (t in weeks). How many…

A:

Q: A vehicle purchased for $22400 depreciates at a constant rate of 5 % . Determine the approximate…

A:

Q: Find the rate of change. Cube root 3√x with respect to x when x = 1, 8, 27

A: Consider the given: fx=x3ddxfx=ddxx3ddxfx=ddxx13ddxfx=13x13-1ddxfx=13x23

Q: A$2,000 bicycle depreciate at a rate 10% per year. After how long with it be worth less then $1,000.

A: the initial cost of the bicycle is $2000   rate of depreciation is 10% per year   After how long…

Q: A certain forest covers an area of 2500 km". Suppose that each year this area decreases by 5.75%.…

A: Explanation of the solution is given below...

Q: The half-life of radium is 1690 years. If 40 grams are present now, how much will be present in 690…

A: Given: The half-life of radium is 1690 years. if 40grams are present now.

Q: The bacteria in an 11-liter container double every 2 minutes. After 50 minutes the container is…

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A:

Q: A factory produces bicycles at a rate of 95 +4812- 4t bicycles per week (t in weeks). How many…

A:

Q: if water rises 1/2 inch in 3/7 of a week in a water reservoir, at what rate is the water rising per…

A:

Q: The length of a rectangle is increasing at a rate of 5 meters per minute and the width is increasing…

A: Explanation of the answer is as follows

Q: A vehicle purchased for $22400 depreciates at a constant rate of 7%. Determine the approximate value…

A: Given that the vehicle purchased P = $ 22400   Depreciates rate (r) = 7 %   Time (t) = 15 years

Q: The halflife is 1600 years , that is if half of any given amount decomposes in 1600 years, find the…

A:

Q: A certain forest covers an area of 4800 km2. Suppose that each year this area decreases by 7%. What…

A:

Q: A car purchased for $14, 000 depreciates at a constant rate of 12 % . What will be the value of the…

A:

Q: The half-life of cobalt-60 (used in radiation therapy) is 5.26 years (actual data). How much of a…

A: Half life formula : A = remaining amount P =initial amount = 200 g r = 0.5  t = 26.3 years t12=5.26…

Q: Which of these would be an appropriate unit to describe the growth rate on a patch of ground that is…

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many r years? mg Give…

A:

Q: The half-life of a radioactive kind of uranium is 2 years. If you start with 5,712 grams of it, how…

A: According to question given that The half life of a radioactive kind of uranium is = 2 years A0=5712…

Q: How much should be invested at 8% to have $1500 at the end of 3.5 years? Round your final answer to…

A:

Q: The marginal revenue for selling the xth box of light bulbs is  10 + 0.001x2e−x/100.  Find the…

A: Given: The marginal revenue for selling the xth box of light bulbs is given by: 10+0.001x2e-x100 The…

Q: State whether the following statement is true or​ false, and explain why. If the statement is​…

A: Given ,the economy shrank at an annual rate of 9% Let the economy=P∴ economy after four…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain…

A: Given: The half-life of Radium -226 is 1590 years.  Sample  = 500 mg  To find: How many mg will…

Q: The APY for 6.5% compounded continuously is %. Give answer as a percent rounded to one decimal…

A:

Q: Solve for x accurate to three decimal places e3x = 30

A: Given equation: e3x = 30

Q: The bacteria in a 4-liter container double every minute.After 60 minutes the container is full. How…

A: The bacteria get double every minute;                             After…

Q: A vehicle purchased for $22400 depreciates at a constant rate of 6%. Determine the approximate…

A: Formula:      F=P(1+r)t Where, F= future value             P= present value             r= rate of…

Q: he Smiths bought an apartment for $75,000. Assuming that the value of the apartment will appreciate…

A: Given query is to find the rate of the apartment after 7 years .

Q: Bicycle Z O Bicycle Y 30 Bicycle Y 20 Bicycle X O Bicycle X 10 O Bicycle Z 1 3. 4 Time (seconds)…

A: Here we want to know faster rate of change

Q: a family has a phone plan that includes 4gb of data per month. 10 days into 30 day month the family…

A: The amount of data used by the family in 20 days is 1 GB. The rate of usage can be interpreted as…

Q: pproximately ft. ed to the nearest thousandth as need

A: Parabola: In figure height of the parabola is 29ft. width of the parabola is 30ft. We need to find…

Q: A rumor is spreading through town at a rate of ť + 10t new people/day. Approximately how many people…

A: Given rate t2+10t new people/day

Q: GB of d

A: Given, A family has a phone paying that gives 6 GB of data per month 15 days into a 30-day month.…

Q: The population in the Philippines doubles in the last 30 years from 1956 to 1986. Assuming that the…

A: It can be solved using the given formula.

Q: A tank contains 16,384 L of water At the end of each subsequent day , half of the water is removed…

A: The remaining amount of water after 1 day is 16384×12, The remaining amount of water after 2 days is…

Q: Find the hourly wage for a person with an income of 71190 who works 78 hours a week for 49 weeks…

A: We have to find hourly wage

Q: Find the half-life (in hours) of a radioactive substance that is reduced by 5 percent in 15 hours.

A:

Q: Find the half-life (in hours) of a radioactive substance that is reduced by 10 percent in 90 hours.

A: Half-life = 0.693/(Decay constant)

Q: 1.) A pine tree measured 40 ½ feet tall. Over the next 7 ½ years, it grew to a height of 57 feet.…

A: Growth rate is obtained by increase in the height divided by time taken for the amount of change.

Q: A factory produces bicycles at a rate of 95 + 972t² 18t bicycles per week (t in weeks). How many…

A: Given: The rate of production of bicycles is: dNdt=95+972t2-18t And t1=2 & t2=3 Now solve the…

Q: A chemical substance has a half-life of 5 hours.How much of a 107-gram sample remains after 12…

A: In this question we have to find sample remain after 12 hour. Formula used N=N0*(1/2)^t/t1/2

Q: Predict the U.S. emissions for a year when the non-U.S. emissions level is 3.4 Round the answer to…

A: ( c ) The U.S emissions are predicted to be --------- metric tons.

Q: The marginal revenue for selling the xth box of light bulbs is  10 + 0.001x2e−x/100.  Find the…

A: The marginal revenue is given by 10+0.001x2e-x100 Therefore the total revenue is given by…

Q: A vehicle purchased for $27500 depreciates at a constant rate of 7%. Determine the approximate value…

A: Compound interest :A=P1+rnntwhere A=future ValueP=Principal ( starting ) Valuer=annual interest…

Q: 1. 2000 T. mST = m21 = 2. 389 X = Y =

A: Given-  To Find- The value of the angle as indicated above.

Q: Express

A: An integral assigns numbers to functions in a way that describes displacement, area, volume, and…

Q: Solve for x accurate to three decimal places.

A:

Q: A car purchased for $14, 000 depreciates at a constant rate of 12 % . What will be the value of the…

A:

Q: If a number decreases from 88 to 11, what is the rate of decrease (as a %)?

A: A number decreases from 88 to 11

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.