An initial deposit of $25,000 earns 1.25% interested and is left in the account for 15 years. The population of common gerbils increases according to the formula  P=P0 (8.4)t   What will be the expected population in 3 years if you start with a pair of gerbils? (Round to the nearest gerbil.)

Q: 1. In 1965, the computer scientist Gordon Moore predicted that processor speeds would double every…

A: a) Initial speed = 1.2MHz Starting year = 1977 Sn = 1.2×2(n - 1977)/2 Where, n = year…

Q: The length X to complete a certain key task in house construction is exponentially distributed with…

A: mean of 5 hours and task is exponentially distributed

Q: If P dollars are invested for t years at a simple interest rate​ r, the future value of the…

A: follow next step

Q: Dscribers The manager of TeleStar Cable Service estimates that the total number of subscribers to…

A: The total number of subscribers is given by Nt=-400001+0.2t+60000 the average number of subscribers…

Q: Moneysaver's Bank offers a savings account that earns 6% interest compounded continuously. If Aldo…

A: Given: The interest rate is 6% compounded continuously. Aldo deposits $2700. Since, the amount after…

Q: Find the time required for an investment of $5000 to grow $6700 at an interest rate of 7.5% per year…

A:

Q: A 13 feet ladder leans against the side of a building. If the bottom of the ladder is pulled away…

A: Let y is the height of wall at which ladder touches. And x is the foot of the ladder away from the…

Q: Use the future value formula to find the indicated value. FV = 11,000; i = 0.04; PMT= $400; n = ?

A: Given: We know that FV=PMT(1+i)n-1i. So,…

Q: A firm's annual sales rise from 50 000 to 55 000 from one year to the next. Express the rise as a…

A: The solution is given as follows :

Q: Ellen has recently inherited $5400, which she wants to deposit into a CD account. She has determined…

A:

Q: 4000 is invested at 3% interest, find the value of the investment at the end of 10 years if the…

A:

Q: Since January 1, 1960, the population of Slim Chance has been described by the formula…

A:

Q: sa has recently inherited $5400, which she wants to deposit into an IRA account. She has determined…

A: Given : For Account 1  A = 5400  r = 5.2% = 5.2/100 = 0.052 t= 5.7  n =  2    (semi-annually )

Q: 13) The market research department for an automobile company estimates that sales (in millions of…

A: Given data: The expression for the rate at which electric car increases is S'(t)=4e-0.08t. The given…

Q: (c) Predict the rate of return of the stock if the rate of return on the S&P 500 for a randomly…

A:

Q: 6. At the birth of their baby, a couple decides to make an initial investment of P that will grow to…

A: Explanation: Given that: Amount =$80000rate        =6% or 0.06time       =18 years Concept:…

Q: if 2/3 of patients survive the COVID infection and 1/3 of these survivors is still alive 10 years…

A:

Q: How much would you have to invest at 3% interest compounded annually in order to have $15,000 at the…

A:

Q: I just started Dominos pizza. My first year, I could make a pizza every 100 minutes.  My second…

A: In the first year, you could make a pizza every 100 minutes. Second-year: you could make a pizza…

Q: . The population of rabbits in an island at the beginhling of 2020 was 1000. a. The population has…

A: Solution

Q: Determine the balance for $50000 invested at 3% for 15 years compounded 4 times per year. (Use this…

A: Given data,  Invested amount (P) = $50,000 Interest rate (r) = 3% = 0.03 Period(t) = 15 years…

Q: The commissioner of a particular city's recycling program assesses that the amount of people in the…

A: Given equation to amount of people in the city who recycled their publications in the years t, is…

Q: A random survey of 90 women who were victims of violence found that 24 were attacked by relatives. A…

A: From the provided information,

Q: A. In what year between 1850 and 2000 was the population growing at 1.8 million people per year? B.…

A:

Q: A company’s annual revenues dropped from £450000 in the year 2005 to £343, 000 in 2008. Assume that…

A: Given,        Revenue in the year 2005 = 450000       Revenue in the year 2008  = 343000

Q: The future value of a simple interest investment is given by S=P(1+RT) What principal P must be…

A:

Q: A company's annual revenues dropped from £450000 in the year 2005 to £343,000 in 2008. Assume that…

A: A company's annual revenues dropped from £450000 in the year 2005 to £343,000 in 2008. Let the…

Q: 18 The chance of winning on a Trisslott is about I at 5. Samir has bought a Trisslott every week for…

A: Here the chance of winning on a Trisslott is about 1 at 5. Samir has bought a Trisslott every week…

Q: During testing of a certain brand of air purifier, the amount of smoke remaining t min after the…

A:

Q: what is the expected rainfall as measured in inches per month?

A: Libya has average precipitation of 56 mm per year. On a random month in Libya

Q: The recurrence of a disabling illness would most likely be defined as a recurrent disability unless…

A: We have given the following statement

Q: ose hopes to earn $700 in interest in 4.1 years time from $56,000 that he has available to invest.…

A:

Q: The manufacturer sells the article for a fixed price of $5.00. There is a guarantee to refund the…

A: The given data: The selling price of the article= $5.00 Cost of production related  to weight of the…

Q: Suppose a man takes out a $350 loan from a pawn shop, and the loan must be paid off with a single…

A:

Q: A local cable TV provider has 26,700 subscribers and is adding subscribers at a rate of 480 per…

A:

Q: 2. The University of Georgia opened its doors to the first class in 1801. At that time Josiah…

A: Let the population of the squirrels after t years from 1801 be p(t)=aekt where k is the growth rate…

Q: A 25-year-old places a continuous stream of $4,000 per year into a retirement account which has a…

A: We have P=$4,000   r =1.5%=1.5100=0.015t=65-25 =40 yrsn=1stream at 65 years  is…

Q: A house is purchased for $140,000 in January 2004. A year later, the house next door is sold for…

A: Given that, the model is Vt=140e0.0676586485t. Let the worth of the house is $290,000 and t=0…

Q: A money lender finds that due to a fall in the annual rate of interest from 8% to 7-%, his yearly…

A:

Q: Big Claw, the crayfish, challenged Flicker to a 60 cm race. Since Big Claw is much larger, he…

A: To determine the winner of the race.

Q: $15,000 is invested in an account that pays 5% interest. How much money will you have in the account…

A:

Q: Ellen has recently inherited $6300, which she wants to deposit into an IRA account. She has…

A: Here I am attaching image so that you understand each and every step.

Q: The annual inflation rate is 3.7% per year. If a movie ticket costs $11.00 today, find a formula for…

A: Given, Annual inflammation rate per year = 3.7%  And, price of movie ticket today= $11.00

Q: 1. Tacoma's (WA) population in 2000 was about 200 thousand, and had been growing by about 9% each…

A: Since you have sent more than one question therefore according to our policies we cannot answer more…

Q: he time it takes a mechanic to change the oil in a car is exponentially distributed with a mean of 6…

A: Given that  The time it takes a mechanic to change the oil in a car is exponentially distributed…

Q: The formula for the amount A in a savings account compoun ded n times per year for t years at an…

A:

Q: A credit card company reported that during one decade, its average cardholder's credit card balance…

A: The given graph is

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.