# college level math

on april 30,(day 0) there will ve 2500 lovebugs living in marion county. the number of lovebugs living in marion county will then increase at a rate of 9percent everyday since april 30.

a)find the equation for the number of lovebugs living in marion county as a function of time t where t=0 corresponds to april 30

b) use the equation to predict how many lovebugs will be in marion county on may 17.

c) use the equation to find how many days it will take for there to be 100,000lovebugs in marion county

1. 👍 0
2. 👎 0
3. 👁 217
1. 2500 (1.09)^n

if n = 17
2500(1.09)^17 = 10,819

100,000 = 2500 * (1.09)^n
40 = 1.09^n
log 40 = n log 1.09
n = 42.8 or about 43 days

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Statistics 2

In Hamilton County, Ohio the mean number of days needed to sell a home is 86 days (Cincinnati Multiple Listing Service, April, 2012). Data for the sale of 40 homes in a nearby county showed a sample mean of 80 days with a sample

asked by Vanessa on September 24, 2014
2. ### Trignometry

In Philadelphia the number of hours of daylight on day t (t is the number of days after january 1) is modeled by the function L(t)= 12+2.83sin((2*Pi)/365(t-800) a. Which day have about 10 hours of daylight? b. How many days of the

asked by SAM on April 15, 2017
3. ### Math

1. In the 30 day month of April, for every three days it rained, there were two days it did not rain. The number of days in April on which it rained was how much greater than the number of days on which it did not rain? 2. Each

asked by Leslie on September 24, 2010
4. ### science

which of the following distinguishes living things from nonliving things? A. living things are made up of cells; nonliving things are not** B. living things are made up of atoms; nonliving things are not C. living things are made

asked by hey on October 22, 2019
1. ### calculus

A model for the length of daylight (in hours) in Philadelphia on the tth day of the year is L(t) = 12 + 2.8 sin 2π/365(t − 80) . Use this model to compare how the number of hours of daylight is increasing in Philadelphia on

asked by ken on June 24, 2020
2. ### income tax

Marion drives 20 miles a day from his first job to his second job. He worked 125 days during 2011 on both jobs. What is Marion's mileage deduction rounded to the nearest dollar assuming he uses the standard mileage rate and

asked by Andy on March 21, 2012
3. ### Civics

Which of the following best describes the relationship between state and county governments? A. unitary, where the state can create or abolish county governments as they believe is in the best interest of the state B. federal,

asked by Anonymous on May 28, 2019
4. ### Physics

You are driving 2500 Kg car at a constant speed of 14 m/s along an icy, but stright and lvel road. While approaching a traffic light, it turns red. You slam on the brakes. You wheels lock, the tires begin skidding and the car

asked by Lena on April 17, 2009
1. ### Statistics

Use the following dates to compute the ALOS and median LOS and range. The discharge date is July 2nd (non-leap year). Round the ALOS to one decimal place. Admission Date LOS 1-2 January = 29; February = 28; March = 31; April = 30;

asked by Anonymous 11/9/13 on November 9, 2013
2. ### statistics

The average age for licensed drivers in a county is µ= 42.6, σ= 12 and the distribution is approximately normal. A county police officer was interested in whether the average age of those receiving parking tickets in the county

asked by Mark on April 19, 2014
3. ### consumer math

Adam has created a register for the bank account he opened on April 16th. Unfortunately, Adam has made a mistake and cannot figure out where he went wrong. Use the transaction descriptions below to determine where his error is.

asked by Anonymous on March 24, 2017
4. ### math

The account balance on April 1st is \$50.51. On April 15th a payment of \$15.00 is made. On April 25th a purchase of \$19.27 is made. The annual rate is 18%. What is the finance charge using the previous balance method? What is the

asked by Anonymous on April 14, 2014