The expression 1* e^0.034t models the balance,in thousands of dollars,where t represents time in years after the account was opened. Write an expression for the number of years after which there will be 15,000 dollars in the account

Q: While simplifying the expression log48 + log,7-log,8, shyam got the simplified form as log 48. What…

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Q: Write an equivalent exponential equation.

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Q: $600 is deposited in an account that pays 7% annual interest compounded continuously what is the…

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Q: Evaluate the expression log10010 without using a calculator. If evaluation is not possible, state…

A: To evaluate log10010

Q: In the last ten years, the population of Brazil has grown at an exponential rate of 0.8% per year to…

A: In the last ten years, the population of Brazil has grown at anexponential rate of 0.8% per year to…

Q: Express in terms of logb 2 / logb 3 / logb 5 logb .55555555555555555 =  logb 2.5 = logb 4/9

A: We have to solve the logarithmic

Q: The half-life of the radioactive element unobtanium-29 is 20 seconds. If 80 grams of unobtanium-29…

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Q: 8. Rewrite VVd*in exponential form.

A: dxmk=(dx)1mk              = dxmk             =dxm1k

Q: fill out the exponential side of the sheet. Create 2 representations under exponential side.

A: To determine the two-exponential form of the logarithm.

Q: Evaluate (2 – j)- in exponential form

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A: The number of cases on March 31th = 2966. The number of cases on July 28th = 45,314. The number of…

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Q: In(20) = x + 2

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Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

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Q: Evaluate log 3 35 = ?

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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…

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Q: The half-life of the radioactive element unobtanium-31 is 5 seconds. If 176 grams of unobtanium-31…

A: To explain the given problem

Q: Scientists believe that Earth once had 8 trillion tons of a naturally existing plutonium isotope​…

A: Given that , initially Plutonium isotope existing is, N0=8×1012  tons Half life t12=22,000 years…

Q: Expand log2 (2) as a sum and/or difference of logarithms without exponents.

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Q: 1 When the number , is written as an exponential expression with a base of 2, what is the exponent?

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

Q: How long will it take for $4000 to double in value if it is deposited in an account bearing 7%…

A: Let the time taken be t years

Q: The radioactive element Carbon-14 has a half-life of approximately 5730 years. A fossil is measured…

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

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Q: After the release of radioactive material into the atmosphere from a nuclear power plant in a…

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Q: Express in terms of sums and differences of logarithms

A: Recall the following facts.

Q: Scientists believe that Earth once had 10 trillion tons of a naturally existing plutonium isotope​…

A:

Q: In the last ten years, the population of Brazil has grown at an exponential rate of 0.9% per year to…

A: Present population = 204,832,665Rate of growth = 0.9% per yeartime = 10 years

Q: The National Health Expenditures report, released in January 2009, stated that overall health care…

A: Given that, The National Health Expenditures report, released in January 2009, stated that overall…

Q: A spectrophotometer measures the concentration of a sample dissolved in water by shining a light…

A: Given,

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A: The half-life formula is given by: y=a(b)th...(1) where y is the final amount, a is the initial…

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: Date Assignm Solve each equation. 1) log, 8+ log, (x + 4) = log, 66 2) log 4 - log, 7=1 -X- %3D

A: To solve following equations 1. log48 + log4(x +4) = log466 2. log4-x - log47 = 1

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Q: Global warming is causing the temperatures around the world to rise. If the average temperature of…

A: The exponential growth can be modelled using the equation f(t)=a1+rt. Here, r is the rate of growth…

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: Evaluate the expression log100 10 without using a calculator. If evaluation is not possible, state…

A: Evaluate the expression log100 10 without using a calculator.

Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A:

Q: The National Health Expenditures report, released in January 2009, stated that overall health care…

A:

Q: Suppose that $12000 is invested in a savings account paying 5% interest per year.(a) Write the…

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Q: On 1/1/2018, the population of France was approximately 65 million. Assume that annual growth rate…

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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: The brewing pot temperature of coffee is 180ºF and the room temperature is 76ºF after 5 minutes, the…

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Q: The hourly wage of workers was raised once a year and grew exponentially from $7.507.50 to…

A: Given the hourly wage of workers was raised once a year and grew exponentially from $7.50 to $10.67…

Q: A man deposits 43,799 each year into his savings account that pays 2% nominal interest compounded…

A: The interest rate is 2% compounded annually  Now in the first year, the principle amount was 43,799…

Q: FlybynightSavings.com is offering a savings account that pays 32% compounded continuously. How much…

A: given:

Q: Suppose that $800 is invested in an account that pays annual interest of 2.6%. How much is in the…

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Q: There were ( 376 ) people affected by corona pandemic in a region on 1 January , 2021. How long it…

A: Using differential equations we can model up a formula for exponential growth rate. Here we use such…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.