Haynes bought a car and discovered it loses half of its value in 5 years. If she bought a car that costs $35000, write a function that represents the current value of her car, V, in thousands, t years since she bought it. Round all values to 4 decimal places when appropriate. V(t)=

Q: The oven temperature for making breads and other baked goods at elevations over 3,500 feet, should…

A:

Q: The government gives 3 farmers each 200 yards of fence and tells the farmers that they can claim any…

A: The area(A) of a rectangle is calculated using the formula: A=l×w, where l is the length, w is the…

Q: When will p(t)=295et-4- 710 have a function value of 900? Round your answer to the nearest ten…

A:

Q: Taylor and Natasha are both saving money. • Taylor starts her savings with $10 and plans to save $20…

A: Natasha's savings plan model is given, construct the savings model for Taylor and  then compare them…

Q: For a function h(x) we know that h(50)=68 and h’(50)=-5. Estimate the value of h(53)

A: Topic = Functions

Q: Annie is renting an apartment and sees in the rental agreement that each year they will raise the…

A:

Q: The projected population of the United States for the years 2025 through 2055 can be modeled by  P…

A: States for the years 2025 through 2055 can be modeled by  P = 307.58e0.0052t,  where P is the…

Q: (EX) Your cable company charges a $65 installation fee and $80 per month for service. (a) Write a…

A:

Q: When Steph Curry shoots a basketball, the height of the ball t seconds after it leaves his hand is…

A:

Q: When Steph Curry shoots a basketball, the height of the ball t seconds after it leaves his hand is…

A: Solution is given below:

Q: Graph the function f(x)=x after it has been vertically shifted −4 units.

A:

Q: The speed of a viral post is modeled by the function, Γ ( t ) = 3 squareoot 2t + 8e^t. If t is the…

A:

Q: Which of the following scenarios is modeled by the function y = 100(1.025)' ? O There is $100 in a…

A: We will use formula for compound interest

Q: Jason opened a savings account with Php550 initial deposit. Each month after he pays his bills, he…

A:

Q: A pair of Apple Air Pods costs $160 and increases in value by 9% each year. Write a function that…

A: A=A0 1+rt   A0=Initial amount     r=rate     t=time

Q: Winona paid $155 for a lifetime membership to the zoo, so that she could gain admittance to the zoo…

A: Find average cost per visit.

Q: Suppose the number of Twitter followers for a particular celebrity x months afte opening her account…

A: fx=-20,000x2+800,000x

Q: our cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan. The total…

A:

Q: It costs Thelma $14 to make a certain bracelet. She estimates that, if she charges x dollars per…

A: Solution for the given problem is as follows: Here,

Q: Lower-than-expected demand for LCD TVs has spurred manufacturers to cut prices in recent years. The…

A:

Q: The elevation of a valley above sea level (in feet) is modeled by the function f(x, y) = -2000…

A: The elevation of a valley above sea level in modeled by the function,…

Q: The value, v of a computer is modeled by the function V(t)=500(0.82)^t where t is the number of…

A: The value of computer is modeled by the function,  V(t) = 500(0.82)t Where t is time in years

Q: Andy buys a new car for $23,540.  He estimates that the car will decrease in value by about 5% each…

A: To write- function that best models the situation.

Q: Natasha runs a pizza restaurant. She must pay $110 to keep the restaurant open each day even if she…

A: topic - functions

Q: Express the gross salary G of Jackie, who earns $15 per hour, as a function of the number of hours…

A: topic - functions

Q: Suppose the function h gives the cost of Car Bt years since 2005. What does the expression 3h(8)…

A:

Q: The selling price of a car is $18,000. Each year, it loses 15% of its value.Which function gives the…

A: We have been given the selling price of a car as $18000 and that its value is decreasing by 15%…

Q: A phone company charges $16.95 a month and 12 cents for every minute above 120 minutes. Write an…

A: A phone company charges $16.95 a month and 12 cents for every minute above 120 minutes. Write an…

Q: Your cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan.  The total…

A: Given: Total cost C(x)=800+60x Average cost A(x)=800+60xx x represents months

Q: what is the equation of this picewise function? 1000 8.0 40 2 10 -8 4-2 468 10 -2 -10 6. 4,

A:

Q: A car was purchased for $22,000 in 2012. The value of the car decreases annualy by 9%. This…

A:

Q: T-Mobile offers a cell phone plan that has an initial down payment of $100 and then you are charged…

A: Down payment is $100 and the charge per month is $35.

Q: The population of Nash County in 2004 was 28,000. In 2012, the population grew to 35,470. Johnson…

A: The population of Nash County in 2004 was 28,000. In 2012, the population grew to 35,470. Johnson…

Q: The Value of Pearl's computer (in dollars) after X months is given in the table. Months 6 8…

A:

Q: The graph shows the height, in meters, of an eagle in terms of its time, in seconds, in flight. a.…

A: (a) - Yes, the eagle's height is a function of time as per the graph shown.We see that as the time…

Q: A phone company charges $14.99 a month and 10 cents for every minute above 120 minutes. Write an…

A: Given that rental charges = $14.99 per month

Q: The height s of a ball after t seconds, when thrown straight up with an initial speed of 70 feet per…

A:

Q: The rate, in calories per minute, at which a person using an exercise machine burns calories is…

A:

Q: A Businessman earns a basic salary of R1 000 plus RS00 commission for every item he sells. 5.1 Write…

A: Explained below

Q: The regular fare for a public utility jeepney is Php 9.00 for the first 5km travel and an additional…

A:

Q: s Taylor and Natasha are both saving money. • Taylor savings plan can be modeled with the function y…

A: Taylor's saving plan can be modeled with the function y=10 +20x Natasha's saving plan can be modeled…

Q: D represents Rachel's remaining distance (in meters) as a function of time t (in seconds).…

A: Given D=-38t+220  where ''t'' is time in seconds   and D=Distance

Q: The function w(y) = -0.01y? +0.27y+8.6 can be used to esimate the number of self-employed workers in…

A: function problem

Q: In 1976 the population density of a country was 55 people per square mile, and in 2001 it was 75…

A: Given ,  In 1976 the population density of a country was 55 people per square mile and In 2001 it…

Q: A car was purchased for $22,000 in 2012. The value of the car decreases annually by 9%. This…

A:

Q: printing service charges a set-up fee of $10.50 for each order and 8 cents more for each copy. The…

A:

Q: 1. y=-3x+6x² -1

A: The given function is: y=-3x+6x2-1

Q: Write an equation of the function g(x) that is the graph of f(x) = |x|, but shifted right 5 units…

A: The given function is

Q: Bobby started his shoe collection 8 years ago with 20 shoes that he got from his mom. He bought 4…

A: Given that, Bobby started his shoe collection 8 years ago with 20 shoes that he got from his mother.…

Q: Since the creation of a social​ program, the percent of persons 65 years and over with a family…

A: Explained below

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.