The formula for the amount A in a savings account compoun ded n times per year for t years at an interest rate r and an initial deposit of P is given by A = P (1+)" rnt Sh ow that the limiting formula as the number of compoundings per year approach es infinityis given by A = Pe.

Q: An amount of $120 is invested in a saving account that accrues 4.5% CCI. If after certain time, the…

A: Solution : We have given the initial amount invested that is $120 and interest rate is 4.5%. We…

Q: 4. How much money would you have in 5 years if today you invested $500 in a continuously compounded…

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Q: The federal tax code allows some items used for business purposes to be depreciated. That is, their…

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Q: I. In a particular very small region, the consumer price index, C, depends on the current value of…

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Q: $8,000.00 is invested at an APR of 4.3% compounded semianually (twice per year). Write a numerical…

A: There are multiple question. As per company policy ask other question separately. 1. compound…

Q: a. The current ratio (assets/liabilities) of company X is 3.2. Given that the current assets are…

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Q: The federal tax code allows some items used for business purposes to be depreciated. That is, their…

A: It is given that the new van used in delivery business has a taxable value of $23,000. It is also…

Q: a total eo at an anval interest rate 10 years If it is continously? of $15,000 IS invested Of '3…

A:

Q: The amount of money invested in a certain account increases according to the following function,…

A: Given , y=yoe0.0475tyo→initial amount of investment .y→amount present at time t in yearsAfter how…

Q: 39 During a certain period the cost of living index goes up from 110 to 200 and the salary of a…

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Q: Given an interest rate of zero percent, the future value of a lump sum invested today wil always:…

A: Topic = Algebra OA. remain constant, regardless of the investment time period.

Q: shirt factory has just installed a boiler that will last for 35 years.  It is expected that there…

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Q: An initial amount of $1900 is invested in an account at an interest rate of 8% per year, compounded…

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Q: Suppose you invest $1000 at 10% interest compounded every year. a) how long will it be until your…

A: Given that, P=$1000, A=$3000 and r=0.10.

Q: A company buys a machine for $475,000 that depreciates at a rate of 30% per year. Find a formula for…

A: Consider the following values:

Q: the annual inflation rate in the US is 1.5% per year. If a movie ticket currently costs $10, find a…

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Q: 4) The formula for the depreciation of a car is A = P (1-", where A is the depreciated value (final…

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Q: $8,000.00 is invested at an APR of 4.2% compounded semianually (twice per year). Write a numerical e…

A: Use formula of compound interest

Q: The value of a fir tree in your plantation increases with the age of the tree according to the…

A: Given, value of tree increases with the age of tree by given formula v=20t1+0.05t where t is age in…

Q: 2. Assuming no withdrawals during the investment, how many years will it take for $500, invested at…

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Q: Suppose you are paid $2,500 per month and your employer's 401(k) matches your contributions by 20%…

A: The following solution is given below:

Q: Suppose that an amount of 10,000 dollars is invested at an annual interest rate of r% compounded…

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Q: an initial investment of 1500 thousand dol ollars at the end of each of the next two qua The…

A: Given: Initial Investment=$1500000 Further investment=$250000 (Quarterly) Operating cost=$120000…

Q: A principal of 7650 OMR is invested at rate of 3.7% compounded continuously. After. how many years…

A: To find the number of years for the investment on the principal value (P)=7650 OMR to first exceed…

Q: The life expectancy of a new born kid increases at a rate of 1.5 years for every day the kid is…

A: Demography

Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n…

A: deandn=a.ean

Q: The population of a city is currently 45,000 and is declining at a rate of 2% each year. Give a…

A: the population after y year  A = pe^(rt)

Q: The federal tax code allows some items used for business purposes to be depreciated. That is, their…

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Q: 19. Angela invests $3,500 in a money market account earning 2.5% compounded continuously. How mush…

A: We have given  Investment amount = $3500 So principal, P = $3500 rate, r = 2.5% = 2.5/100 = 0.025…

Q: An initial amount of $2200 is invested in an account at an interest rate of 3% per year, compounded…

A: Given, Principal = P =  $ 2200  rate of interest  = 3 % per year time = t = 2 years Amount = A = ?

Q: An initial amount of $3700 is invested in an account at an interest rate of 6.5% per year,…

A: Given :Initial Amount = P=$3700Interest rate = 6.5% per year=6.5100=0.065Time = 2years

Q: A government agency estimates the number of young adults (ages 18 to 24) in a particular country to…

A: Given that       A Government agency estimates the number of young adults (ages 18 to 24) in a…

Q: An initial investment of 5742 earns interest of 6% compounded yearly. 1. What formula gives a value…

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Q: An initial amount of $1800 is invested in an account at an interest rate of 3.5% per year,…

A: givenP=$1800r=3.5%=0.035t=7 yearssince we are solving compouded continuously ,then we apply this…

Q: $400 is invested at an interest rate of 4.5% per year find the amount of the investment at the end…

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Q: A certain college graduate borrows $8000 to buy a car. The lender charges interest at an annual rate…

A: A certain college graduate borrows $8000 to buy a car. The lender charges interest at an annual rate…

Q: An initial amount of $1400 is invested in an account at an interest rate of 4.5% per year,…

A: We know that A= P1+rnnt Where,  = Final amount ($1400) = Principal balance  (0.045) =…

Q: A tractor was purchased for 110 000 Euros, and depreciates at 25% p.a. for 5 years.

A: Given The purchase amount for a tractor is 110 000 Euros and depreciates at 25% p.a. for 5 years. To…

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

A: You just need to find the limit of the given expression when 'n' is tending to infinity.

Q: 8. The population of Kalibo, doubled in the last 20 years, 1997 to 2017. Assuming the rate of…

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Q: Chanda wants to invesnt 5300 dollars in an investment account with APR 13.6% compounded 10 times per…

A: Given: Initial amount(P)=$5300            Rate of intrest (r)=13.6%=0.136        (compounded 10…

Q: With an annual rate of inflation of 3% over the next 10 years, the approximate cost C of goods or…

A: Given that: Cost of good, C(t)=P(1.03)t Initial cost of oil = $24.97

Q: Suppose that you now have $10,000 and that you expect to save an additional $4000 during each year,…

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Q: An initial amount of $1800 is invested in an account at an interest rate of 7% per year, compounded…

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Q: If a principal P is invested at an annual rate r compounded n times a year, then the amount A at nt…

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Q: At time t years, an industry consumes fuel at the rate of (3t + 27)/3 million barrels per year. (i)…

A: Given that at time t years, an industry consumes fuel at the rate of 3t+2713 million barrels per…

Q: A man has 2 sons aged 6 and 8 respectively. He invests a total of R2000 on their behalf at 6% p.a.…

A: Let amount of 1st son is x. then 2nd son is R 2000-x. For 1st son time period will be 17-6=11 For…

Q: An initial amount of $2200 is invested in an account at an interest rate of 5.5% per year,…

A: This question is related to Compound Interest, we will solve it using given information.

Q: A loan of R20 000 is to be amortised by means of five regular equal monthly payments of R5000…

A: Given: P=20000, I=5000, t= 612 We have I=Prt1005000=20000× 612×r100100r-5000=0 Consider the…