A farm purchased in 2000 for $1 million was valued at $3 million in 2010. If the farm continues to appreciate at the same rate (with continuous compounding), when will it be worth $10 million?

Q: Abigail wants to save $15,000 to buy a car in 7 years. If she deposits $10,000 into an account that…

A: Topic- compund intrest

Q: A condominium complex was purchases by a group of private investors for $1.4 million and sold 6 yr.…

A:

Q: Jerome will be buying a used car for $15,000 in 3 years. How much money should he ask his parents…

A: Given, Future value  A=$15,000           Interest r=0.05           Time t=3 To find the Present…

Q: how long will it take for the amount in the account to reach $12,000?

A:

Q: Which is better, an account paying 3.7% Interest compounded continuously or an account paying 3.75%…

A:

Q: an investment of $7740 grows to $9635 in 6 years at continuously compounded interest, what is the…

A:

Q: If you borrow $8,500 at 4% interest, what is the amount that you will owe in five years if…

A: To find the amount owe in 5 years if compounding continuously :

Q: How long will it take for an investment to at least double its original amount if it is growing at…

A: Let P be the initial investment and t represents the time that the investment becomes double.  Given…

Q: The average cost of a 4-year college education is projected to be $120,000.00 in 18 years. How much…

A:

Q: How many months will it take for a $4000 to grow into $5600 if money can earn 6% p.a. compounded…

A:

Q: Leigh Jacks plans to invest $500 into a money market account. Find the interest rate that is needed…

A: By using the formula                  A=P1+rmmt Where          P= $500A=$1200t=14

Q: An artist currently has $840,000 to invest and her goal is to use these resources to acquire a $1.5…

A: From the given information, it is observed that P = $840,000, t = 6 and A = $1,500,000. Here, the…

Q: One hundred shares of a technology stock were purchased on January 2, 1990, for $1200 and sold on…

A:

Q: Shemp has inherited $50,000 from a recently deceased long-lost aunt. He invests his newfound money…

A:

Q: Jocelyn invested $56,000 in an account paying an interest rate compounded continuously. Oliver…

A: JocelynA=P1+R12002Twhere A=amount, P=principal amount, R=rate of intereset and T=time…

Q: the amount of money you have in an account will triple after 10 years if it is compounded…

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Q: How long will it take to triple the sum of money invested at 12% compounded monthly?

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Q: What will a $90,000 condominiumcost 5 years from now if the price appreciation for condos overthat…

A: To find: The price for condos after 5 years from now: Given: The principle price is $90000 and  rate…

Q: A family has $16,000 saved for college tuition. They will need $64,000 for college expenses fifteen…

A:

Q: A building was bought for $150,000 and sold 10 years later for $400,000. What interest rate…

A: given: A building was bought for $150,000 and sold 10 years later for $400,000. we have to determine…

Q: Suppose you have $15000 to invest. Which of the two rate would yield the larger amount in 3 years.…

A:

Q: A principal of  $4900  is invested at  4.25%  interest, compounded annually. How much will the…

A: use the formula for compound interest for finding the amount.

Q: You have an investment of $22,400.00 that you want to double in 11 years. If interest is compounded…

A:

Q: Jerome will be buying a used car for ​$9,000 in 3 years. How much money should he ask his parents…

A: Use compound interest formula.

Q: How much will you get out from 1000 that grows at 9% compounded monthly at the end of 17 years?

A:

Q: If money is worth 7% compounded continuously, find the equated time for paying a loan of P 200,050…

A: Given: Rate of interest, r = 7% Loan amount due in 2 years, A1 = P200,050 Loan amount due in 4…

Q: Sarah is going to invest $280 and leave it in an account for 9 years. Assuming the interest is…

A:

Q: Hannah wants to have $ 7500 to help pay for a new deck in 10 years. If she wants to put her money…

A: Given Future value =7500 r= 0.085 t=10 years

Q: Brayden now has $2,500 in her CD, which has compounded continuously over a period of 12 years. She…

A: Given: Principle amount: (P)=$1,800  Amount after 12 years A=$2,500 Rate of interest=? The formula…

Q: Suppose $9500 is invested at 6% interest, compounded annually.  Approximately how long will it take…

A: Given Principal =$9500  rate =6% compounded annually Amount = $12,000

Q: If the bank advertises its rate as 6.2% compounded monthly, and another bank advertises its rate as…

A: Given: One bank advertises its rate as 6.2% compounded monthly and another bank advertises its rate…

Q: The average cost of a 4-year college education is projected to be $410,000 in 15 years. How much…

A: Calculation:From the given, A = $410,000,  r = 7% and t = 15 years and n = 4.Compute the principal…

Q: How long does it take the amount of money in your wallet to triple if it is invested at 7% interest,…

A: Let initial amount = P So, final amount = A= 3P Interest rate= 7%= 0.07  n= number of times…

Q: You paid $10,000 for a car whose value is depreciating by 14% per year, compounded annually.…

A: Given,Principle = $10000Interest rate = 14%Time period =3 years

Q: A couple paid 30000 dollars for a house forty years ago. Today, they sold the house for 250000…

A: We have to use formula of Compounded Annual Growth Rate formula here.

Q: Suppose that you have $14,000 to invest. Which investment yields the greater return over 10 years:…

A: To Determine : Which investment yields the greater return . Given: Suppose that you have $14,000 to…

Q: If 2000 dollars is invested in a bank account at an interest rate of 9 per cent per year, compounded…

A:

Q: if 25,000 is invested at 12%, How much will it be worth after 5 years if it is compounded annually?

A: Remember that, Compound interest (or compounding interest) is the interest on a loan or deposit…

Q: Suppose you have $13,000 to invest. Which of the two rates would yield the larger amount in 4 years:…

A:

Q: Darcy invested $900 in a CD. If the CD grows at a rate of 6% per year compounded annually, when will…

A: To find the time when the $900 invested at a rate of 6% per year compounded annually will double.

Q: If you invest $1000 at 7% annual interest compounded monthly, how many years will it take for the…

A: let invest amount is P annual rate is r month n =12 years = t amount after t years is A =3000 A =…

Q: How long (in years and months) will it take for an investment to double at 3% compounded monthly?

A: If you like the solution then please give it a thumbs up.. The Answer is:     Result = 23.45  It…

Q: How long does it take $2000 to double if it is invested at 4.25% interest, compounded continually?

A:

Q: How long will it take $3000 to grow to $4800 if it is invested at a 6.2% interest rate compounded…

A: To find time we use formula: In the Given problem A=$4800P=$3000r=6.2%n=12

Q: Joshua is going to invest $490 and leave it in an account for 5 years. Assuming the interest is…

A: Solution:-

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.