Solve the equation for x. 81^(2x−7) = 3^28

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: 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 price of a car depreciates by 15% each year. Find the price of a car after two years that is…

A: The present value of the car is 50,000 Rials. The car depreciates by 15% each year.

Q: An oil company bores a hole 80m deep. Estimate the cost of boring if the cost is £30 for drilling…

A:

Q: How long (In years) will It take a $400 Investment to bo worth s000 if It S continucusly compounded…

A:

Q: Initially, a petri dish held 34 bacterium organisms. 16 hours later, the number had increased to 51.…

A: Given- A petri dish held 34 bacterium organisms intially and after 16 hours, the number had…

Q: What would be the rate of increase of an island population of 1000 that has 30 births and 20 death?…

A: An island population of 1000 that has 30 births and 20 death. We need to calculate What would be the…

Q: A projectile is shot upward from the top of a 220-foot building with an initial velocity of -22 feet…

A:

Q: During a 5-year period of constant inflation, the value of a $105,000 property increases according…

A: Equation isv=105,000×e0.04tthe current value is $105,000double =2×105,000so we put this value in…

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: 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: 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: An innovative rural public health program is reducing infant mortality in a certain West African…

A: For  the given  infant mortality at a rate of 8.3 % per year  Time for infant mortality to reduced…

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: Solve for x: 92x – 7 = 410x – 10 x = You may enter the exact value or round to 4 decimal places.

A:

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 half-life of caffeine in your body is about 6 hours. If you had 1 cup of coffee 9 hours ago how…

A:

Q: The amount of simple interest owed on a loan varies jointly as the amount of principal borrowed and…

A: To find: The interest will be owed on $6000 in 4 year. Given: The interest received for amount $4000…

Q: Solve the equation for x.  5 ln 2x = 8

A: Given: 5 ln 2x=8

Q: Simslarly Solve x= fi 4

A: System of differential equations

Q: Accidentally, a dog has taken in excess vitamins. The usual amount of vitamins in the dog's body is…

A:

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

A:

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

A:

Q: Polonium -210 is a radioactive substance with a halflife of 138 days. if a nuclear facility is…

A: Given: Half life of polonium 210  = 138 days Initial quantity = 245 gms

Q: A bank note will be worth $75,500 when it matures in 8 years. If the note pays 3.93% per year…

A:

Q: Carlos invests $1,357 in a savings account with a fixed annual interest rate of 8% compounded…

A: Invested amount (p) = $1357  Interest rate = 8% Time period= 8 years   We have to calculate the…

Q: The half life of a drug in the bloodstream is 9 hours. What fraction of the original drug dose…

A: After 9 hours, half is left After a SECOND 9 hours (18 total), half of a half, or, one quarter is…

Q: Find the half-life (in hours) of a radioactive substance that is reduced by 40 percent in 20 hours.…

A:

Q: The half-life of a drug in the bloodstream is 9 hours. By what factor does the concentrationof the…

A:

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: Solve ln(3x+2)−ln(10)=ln(5)

A: Given that       ln(3x + 2) - ln(10) = ln(5)

Q: As of 1995, the human population was expected to double within 50 years. If we calculated r for the…

A:

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: The half-life of radioactive radium (226Ra) is 1599 years. What percent of a present amount of…

A:

Q: epx dx 1+ et

A: To evaluate the  integral ∫-∞∞epx1+exdx we use substitution and then standard formula.

Q: Jade invested $1966 with a fixed annual interest rate of 2.45% compounded continuously. What will be…

A:

Q: As of 1995, the human population was expected to double within 50 years. If we calculated r for the…

A: Given that as of 1995 the human population was expected to double within 50 years. And r means the…

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

A: We have to find

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: If rain is falling at a rate of 2.17 inches per hour, how much rain would you expect after 3.25…

A: Given, that  rain is falling at a rate of 2.17 inches per hour Means in 1 hour 2.17 inches rain…

Q: Solve for X. Round to one decimal places

A:

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

A:

Q: A worker's salary starts at £25000 per annum and increases by £2500 every year. How long does she…

A: The initial salary of the worker is £25,000 per annum. Her salary increases by £2500 every year.…

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

A:

Q: The half life of radium is 1690 years. if 50 grams are present now,how much will be present in 520…

A:

Q: The  µ  is less than 10 mins per day

A: In the given scenario, a retailer randomly selected 25 employees to examine their personal phone…