Jevante invested $10,000 at 3% interest compounded continuously. How much will he have after 4 years? Formula: A = Formula Filled in: A = He will have $ after 4 years.
Q: You have 48,000 saved. How long will it take for that to double in value if it is 10% compounded? a)…
A: a) Initial amount =P= 48000 Final amount= A= 2(48000)=96000 Interest rate = r= 10%=0.10 time = t=?…
Q: w much money does Stewart have to invest at 2.9% interest compounded continuously to have $28,000…
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Q: Solve the following exponential equation. 3-x 6% %3D 216
A: We can solve the exponential equation as below.
Q: Dash invested $10,000 at 3% interest compounded continuously. How much will he have after 8 years?
A: The formula for compound interest is, A = Pert A = Final Amount P = Principal r = rate of interest t…
Q: Dale had $1,000 to invest. He has a goal to have $2,700 in this investment in 13 years. At what…
A: (1)Continuously compounded interest formulaA= PertP = the initial principle investede = natural…
Q: Nelson invested 5000 in savings account . If the interest rate is 1.62% how much will be in the…
A: Introduction: The formula of compound interest is given by, A=P1+rnnt Where P is the principal…
Q: Find the amount A in an account after t years if dA/ dt= 0.08A and A(0)= 1000
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Q: Logan invests $4000 at an annual interest rate of 6%.How much money will she have after 10 years if…
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Q: You deposit $4000 in an account earning 5% interest compounded continuously. How much will you have…
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Q: How long will it take for an investment to double in value if it earns 33% compounded…
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Q: Elijah invested $79,000 in an account paying an interest rate of 2;% compounded daily. Landon…
A: Given: Elijah invested $79000 at 11/4% compounded daily for 7 years Landon invested $79000 at 13/4%…
Q: Rewrite the equation in exponential form. ln(b)=n
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Q: To save for a new car, Trafton invested $7,000 in a savings account that earns 2.5% interest,…
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Q: Shemp has inherited $50,000 from a recently deceased long-lost aunt. He invests his newfound money…
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Q: Katrina started an account with all the money she received as graduation gifts. The account had an…
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Q: O $30,000 is invested at 6% interest compounded quarterly, Using the formula A= P(1+E)nt de termine…
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Q: Solve the following elementary exponential equation. e-G) 3x+4 8 27 4-
A: The given equation is,233x+4=8274
Q: If $8000 is invested in an account for which interest is compounded continuously, find the amount of…
A: Given amount = $8000 time = 12 years interest rate (a) 2% (b) 3% (c) 4.5% (d) 7%
Q: The gross domestic product, G, of Switzerland' was 685.4 billion dollars in 2013. Give a formula for…
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Q: Solve for x in the following exponential equation by matching the bases. 22x = 128
A: We have to find the value of x.
Q: The annual rate, r, compounded annually, it takes for 1 dollar to grow to A dollars in 2 years is…
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Q: The current population of a small town is 4,700 and is declining at a rate of 1.7% a year what will…
A: The general form that represents the exponential decay is as follows. Pt=P01-rtPt is the population…
Q: Nate put some money into an account paying 4.5% compounded continuously for 10 years. He now has…
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Q: Use the formulas A = P(1 + r/n)nt and A = Pert to solve, you decide to invest $8000 for 3 years at…
A: When interest is compounded monthly then amount after time t years is given as: A=P1+rnnt When…
Q: You invest at 7% interest, compounded monthly. How long does it take for your money to triple?
A: The compound interest formula is A=P(1+r/n)nt ; Where, P= principal r=interest rate…
Q: You deposit $6000 in an account earning 2% interest compounded continuously. How much will you have…
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Q: The population of Weston is currently 7,000. But the population is shrinking according to the…
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Q: Maria's parents invested $14,000 at 6% per year compounded monthly. How much money will there be in…
A: Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other…
Q: To save for a new car, Trafton invested $3,000 in a savings account that earns 1.5% interest,…
A: Given that Trafton invested $3000 into saving account at the compound interest of 1.5% for 4 years.…
Q: Find the exact solution to the exponential equation below: 3 1.6 = 45 %3D
A: Given that: 3.1.6x=45
Q: A nurse gives a patient 800 mg of medicine at 10:00 a.m. If the half life of the medicine is 3…
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Q: Juliana invested $5,000 at 5.25% p.a. simple interest. How many days will it take for her investment…
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Q: How long will it take 200,000 to increase by 80,000 if invested at 8% converted annually
A: Here in the given question: Principal amount P = 80,000 Final amount (A) = 2,00,000 Interest…
Q: How long will it take for an investment to double in value if it earns 86% compounded…
A: It is given that, the interest rate is 86%. The objective is to calculate the time in years to for…
Q: Renata invested $500 at 5% compounded monthly for 4 years. What will the investment be worth at the…
A: We know that, A= P(1+(r/n))nt where, = final amount = initial principal balance = interest…
Q: Teri invested $1500 in an account with an interest rate of 2.25% compounded continuously. How long…
A: Initial investment=$1500 Rate of interest=2.25% We need the time in which the earnings will be $5000
Q: Hannah wants to have $ 4500 to help pay for a new deck in 7 years. If she wants to put her money…
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Q: Rochelle deposits $5,000 in an IRA. What will be the value (in dollars) of her investment in 15…
A: Use compound interest formula.
Q: Use the given formula A = p(1 +r)' $750 invested for 5 years at 9% compounded annually produces…
A: Here, the formula is: A=p1+rt
Q: Solve the following exponential equation exactly. 3(x-4)=81
A: We know that 81= 34 So,
Q: Aubrey invested $61,000 in an account paying an interest rate of 1.9% compounded continuously.…
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Q: solve the exponential equation by using the property that b^x= b^y implies x=y, for b>0 and b≠1.…
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Q: Solve each exponential equation accurate to four decimal places. 7x=450
A: Given equation is: 7x=450 Apply logarithm on both sides. log 7x=log 450xlog 7=log 450
Q: Solve for x in the following exponential equation by matching the bases. -4x 1 -64-5) = 0 8
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Q: To save for a new car, Trafton invested $5,000 in a savings account that earns 3.5% interest,…
A: We can find the required answer as below.
Q: Solve for x in the following exponential equation by matching the bases. -4x 1 - 64-5) = 0 - 8 x=5…
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Q: Solve the following exponential equation. Round to two decimal places. 3*3(4x+4)-7=11
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Q: A sum of money invested at compound interest doubles itself in 3 years. In how many years will it…
A: B) 9 years
Q: x+1 25 5 9.
A: The given equation,35x+1=259
Q: if $2000 is invested at 5%, compounded continuosly for t years, the value, A of the investment is…
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- Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25 interest,compounded continuously. How much will theaccount be warm after 25 years?Annual interest yield refer to problem 13 .suppose the investor decides to increase the maximum invested in highest bonds to $3000 leave the other conditions unchanged .by how much will her maximum possible interest yield increase?With what kind of exponential model would doubling time be associated? What role does doubling time play in these models?
- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?With the gasoline time series data from table 17.1, show the exponential smoothing forecasts using a = .1.a. applying the MSe measure of forecast accuracy, would you prefer a smoothing constant of a = .1 or a = .2 for the gasoline sales time series?b. are the results the same if you apply Mae as the measure of accuracy?c. What are the results if Mape is used?Question 17 Suppose Carole has a total wealth of $100,000 and a utility described by U = E -A She has a risk aversion coefficient of A-1. She can borrow and lend/invest at the risk-free rate of 2.8%. Suppose the optimal risky portfolio has an expected return of 12% and a standard deviation of 27.5%, What is her optimal amount to borrow or lend/invest at the risk free rate? Indicate investing/lending as a positive number and borrowing as a negative number. Round to the nearest cent ($0.01). Your answer should not include the $ sign. If your answer is $25.34, it should be written as 25.34. Question 18 Ayear ago, an investor bought 200 shares of a "no-load" mutual fund at $10.01 per share. No-load funds do not change "entry fees or "exit" fees when buying or redeeming shares. Sometime during the year, the fund paid dividends of $0.71 per share and the fund paid capital gains of $0.14 per share - and these payments were reinvested in the fund at an average price of $10.73 per share…
- Consider the following (actual real-world) data of total cumulative coronavirus cases diagnosed in the United States by the following days: Sunday, 3/15 -- 3613 Monday, 3/16 -- 4596 Tuesday, 3/17 -- 6344 Wednesday, 3/18 -- 9197 Thursday, 3/19 -- 13779 Friday, 3/20 -- 19367 Saturday, 3/21 - 24192 Sunday, 3/22 - 33592(a) Does this data suggest exponential growth in the total number of cases diagnosed as function of the number of days that have elapsed? Explain how you would use the data to support your conclusion. (b) Let P(t) denote the total number of people in the US who have tested positive for the coronavirus on or before t days after March 15. Let P0=3613, the total number of people in the US who had tested positive for coronavirus by March 15. Then if we use an exponential growth model, P(t)=P0ekt, how would you use the above data to estimate the value of k? (c) Based on this data alone , how many total coronavirus cases would you expect to be diagnosed in the United States by…2.) The manufacturer's suggested retail price (MSRP) for a particular car is $24,630, and it is expected to be worth $10,940 in 5 years. (a) Find a linear depreciation function for this car. (b) Estimate the value of the car 8 years from now. (c) At what rate is the car depreciating?1. What is the sum of the 2nd and 16th Fibonacci numbers? 2. During the start of the COVID-19 pandemic it is assumed that the rate of spread of the corona virus is 18% daily following a simple logistic growth model. Ten persons are assumed to have acquired the virus in province X. Assuming province X with a population of 2 million does not follow any necessary protocol to prevent the spread of the virus, approximately how many are expected to have acquired the virus after 30 days? 3. Mrs. Maria Alading borrowed 20,000 pesos from her friend Ms. Petra Hausen to pay the tuition fee of her son. How much money will she pay Mrs. Hausen after a year, if an annual simple interest rate of 12 % is asked? 4. For her son's tuition fee, Maria borrowed 10 000 pesos from a lending company with annual simple interest rate of 8.4%. If she had not given any interest in the first year, how much should she pay the company to pay off her debt after 2 years? 5. According to the National Statistics Office…
- The analysis of tooth shrinkage byC. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is continuingto decrease and that the evolutionary process has not yetcome to a halt. In northern Europeans, for example, tooth sizereduction now has a rate of 1% per 1000 years. What will be our descendants’ tooth size 20,000 years from now (as a percentage of our present tooth size)?5 Quarterly data from 1960Q1 to 2009Q4, stored in the file consumptn.dat, were used to estimate the following relationship between growth in consumption of consumer durables in the U.S. (DURGWTH) and growth in personal disposable income (INCGWTH); DURGWTHt = 0.0103 - 0.163 DURGWTHt-1 + 0.7422 INCGWTHt + 0.3479 INCGWTH t-1 Given that DURGWTH 2009Q4 = 0.1, INCGWTH 2009Q4 = 0.9, INCGWTH 2010 Q1= 0.6, and INCGWTH 2010 Q2= 0.8, forecast DURGWTH for 2010Q1 and 2010Q2What is the adjusted Exponential Smoothing forecast for Year 4, Q1 using alpha = 0.3 and beta = 0.5? What is the predicted annual demand for year 4? What is the seasonally adjusted forecast for year 4, Q1?