3^(-4+3x)=1/27

Q: Solve for x accurate to three decimal places.

A: We need to solve the equation for x, ln4x=1

Q: If $5000 is invested at 5% annual simple interest, how long does it take to be worth $6750?

A: We have to find time period where $5000 is invested at the rate of 5% and amount reached to $6750 We…

Q: Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in 4years?

A: Given principal(p)=$4000Interest rate(r)=3%=0.03time(t)=4 yearssince the amount is compounded…

Q: Joanna deposited $ 3500.00 in an account that pays 4% annual interest, how long does it take to…

A: Use the formula as A=P1+r100t where, A=AmountP=Principalr=ratet=time

Q: The value of business, currently priced at 100000 Rial, is expected to increase by 20% a year. After…

A: The exponential growth is defined by the equation, , where r is the growth rate, P0 is the initial…

Q: In 2010 there were 50,000,000 Latinos in the US. At the growth rate of 2.5% per year what will the…

A: In 2010 population size is 50,000,000 latinos in the US. Growth rate = 2.5% per year We have to find…

Q: The doubling time of an investment is the amount of time it takes to double in value. If an…

A:

Q: Suppose that you borrow 20000 dollars from a bank, and that the bank charges 4 percent annual…

A: Suppose that you borrow 20000 dollars from a bank, and that the bank charges 4 percent annual…

Q: A 13-inch tall sunflower is planted in a garden and the height of the sunflower increases…

A: A 13-inch tall sunflower is planted in a garden and the height of the sunflower increases…

Q: The half-life of a drug in the bloodstream is 18 hours. if a 1000 mg dose is prescribed, what amount…

A:

Q: If $5000 is invested at 7% annual simple interest, how long does it take to be worth $8150? yr

A: As from the formula of simple interest, i=p×n×r100               ...(1) Where, p = principal n=time…

Q: If $5000 is invested at 7% annual simple interest, how long does it take to be worth $7800?

A: Use formula of simple interest

Q: A dirty bowl on your counter starts to grow bacteria that doubles every 10 minutes. Assuming you…

A: Given - A dirty bowl on your counter starts to grow bacteria that doubles every 10 minutes. To find…

Q: How long will it take money to triple itself if invested at 5% compound interest rate?

A: GIVEN: Compound interest rate = 5%

Q: The half-life of radioactive cobalt is 5.27 years. If 100 grams of radioactive cobalt is present…

A:

Q: The amount of simple interest earned in an account varies jointly as the amount of principal…

A: Simple interest is calculated using the formula,  Simple interest =P×R×T100 where P is the principal…

Q: The balance owed on your credit card doubles from $1000 to $2000 in 6 months.  If your balance is…

A: Given , The balance owed on credit card doubles from 1000$ to 2000$ in 6 months.As the growing is…

Q: An car depreciates (decreases in value) by 20% of its value from the previous year. If the car was…

A: Price of the car is decreases by 20% for every year. Therefore r=20% Price of car is $40,000…

Q: Integrate 8. dp- X+9

A:

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

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Q: The half-life of radioactive potassium is 1.3 billion years. If 10 grams is present now, how much…

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Q: Suppose a computer that costs $1,000 decreases in value by 17% each year. The estimated value of the…

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Q: Suppose that a piano costs $5,000 and loses 20% of its value each year. What will be the value of…

A: This question is about application of profit and loss of a product

Q: Choosing to commute to work by driving a hybrid vehicle will save $280 every six months in fuel. If…

A: Consider the given: If money is worth 7.3% compounded semi-annually, it means that the cost of money…

Q: During the first half of the year, 686 patients were admitted to the cardiovascular care unit. Of…

A: From the provided information, Number of patients who were admitted to the cardiovascular during…

Q: How long will it take for $1000 deposited at 6% compoundedsemiannually to double? To triple

A: It is given that $1000 is deposited at 6% compound semi-annually.

Q: The population in India was 952108000 in 1996 and was growing at a rate of 1.3% per year. What will…

A:

Q: help with question 3

A: First, we find the rate of change of the price over the 5 years So every year price is decreasing…

Q: . Find the length of time required for $2500 to increase to $3250, if the money was invested at 8%/a…

A:

Q: Antonio deposits $9,200 in a savings account that pays 5.5% compounded continuously. How much will…

A: We have to find

Q: At Romar's garden, a sunflower was 14 centimeters tall when it was first planted, and continued to…

A: Given: At Romar's garden, a sunflower was 14 centimeters tall when it was first planted, and…

Q: There is a machine that costs $3178, has a life of 6 years and no salvage value. The capitalized…

A:

Q: If $5,000 is invested at 7% annual interest, how long does it take to be worth $6750?

A: Initial amount =P= 5000  Final amount = 6750  So interest =I= 6750-5000= 1750  Interest rate = 7%=…

Q: The current population of a threatened animal species is 1.7million, but it is declining with a​…

A:

Q: If you invest $6300 per year in a stock that grows at rate of 9% per year, how much will your stock…

A: We have to find the worth after 13 years.

Q: Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in 4 years?

A: Given that,   Invest value (P) =$4000   Interest rate(r) = 3%   Time (t) =4 years

Q: Jennifer invested 6000 in her savings account for 7 years. When she withdrew it, she had 9004.82.…

A:

Q: In 2008, a $1,700 deposit was made to an investment account that earns 4.75% interest, compounded…

A: contneously compounded formula A =Pei*t where P = principle amount =1700             i = interest…

Q: A principal of Php 12000 is deposited in a 7% account and compounded continuously. At the same time…

A: Solving the problem by finding the value of the time in years.

Q: How long will it take for an amount to double its value if invested at 9.3% simple interest?

A:

Q: Gasoline prices are rising at a rate of 0.4​% per month. What is their doubling​ time? By what…

A: The doubling time formula is Doubling time=log(2)log(1+increase) Where increase is the constant…

Q: How long will it take to triple your investment at 6% interest compounded con-tinuously.

A:

Q: If a $2559 deposit grows to $16584,(interest compounded continuously) in 5 years, how much…

A: Given data: Principal P: $ 2559 Amount A: $ 16584 Time t: 5 years  The interest is compounded…

Q: How long will it take money to triple if it is invested at 6% compounded quarterly? 8.1% compounded…

A: We will find out the required value.

Q: A car travels at a rate of (4x2 − 2). What is the distance this car will travelin (3x − 8) hours?

A: Car travel at rate of (4x2 − 2) which means in 1 hour car travel (4x2 − 2) units

Q: (a) The value of a car depreciates by 25% in a year. What will a car, currently priced at $43,000,…

A: We will find the price of car after one year

Q: What amount needs to be invested today at 4% simple interest in order to have $6000 in 3 years?

A: