Is the function of k(x)= 9^x/7*7^x exponential? If so, write the function in form k(x)=ab^x

Q: Suppose that $8000 is invested at an interest rate of 5.2% per year, compounded continuously. What…

A: Principal= P= $8000 Interest rate = 5.2%= 0.052 Final amount = double of 8000=16000

Q: Solve th equation for x. log2(log3 x) = 4

A: Consider the given: log2log3x=4Using log Rule:logap=n is equivalent to p=an,log2log3x=4…

Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

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Q: Suppose that $1600 is initially invested in an account at a fixed interest rate, compounded…

A: Let the principal amount be P = $ 1600. Final amount , A = S 2067. Time, t = 6 years.

Q: What is the total amount of 4500 TL with 3,7 % continuously compound interest after 3 years?

A: Given Present value (P)= 4500 TL Rate (r)=3.7% Number of years (t)= 3

Q: Find the present value of $4000 payable at the end of 4 years, if money may be invested at 6% with…

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Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: The initial population of the bacteria is, P0=100. After every t=6, the population doubles. So, the…

Q: To get $800 after 212years at 8% compounded continuously

A: $800 after 212 years at 8% compounded continuously.

Q: The half-life of carbon-14 is 5700 years. If an item is discovered with only 17% of the original…

A: Given Half life of carbon-14 =5700 years  i.e. and an item is found with only 17% of the original…

Q: Suppose that money is deposited daily into a savings account at an annual rate of $1300. If the…

A: P = $1300 r = 4% N = 4

Q: A quantity with an initial value of 480 grows exponentially at a rate such that the quantity doubles…

A: Here a value is increasing exponentially. We need to find the value after specified time.

Q: x+1

A: By using the formula you can solve the given problem as follows :

Q: Express in terms of sums and differences of logarithms. 2 In In 3 3x y 2 3 3x y

A: Given:ln23x3ywe need to express this logarithm in terms of sums and differences.We know thatln (ab)…

Q: Find the present value of $1000 payable at the end of 3 years, if money may be invested at 8% with…

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Q: 1) loga(3-1ogalx-)=2

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Q: 2. Express in terms of sums and differences of logarithms In 2 3x³y (In 2 divided by 3x³y)

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Q: what is the compound interest if $43000 is invested for 5 years at 6% compounded continuously?

A: Given,           The compound interest if $43000 is invested for 5 years at 6% compounded…

Q: $5,000 is invested in an account earning 6% interest (APR), compounded continuously. How much is in…

A: Total investment P=$5000 Rate of interest R= 6% Time t=3 years Total amount after 3 years

Q: Find the time needed to double an investment at 8% annual interest rate compounded continuously.

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Q: solve for y: ln(3-y)-ln(y) = 2x + ln(5) without a calculator

A: Given equation is :Moving all the logarithm terms and using the property: ln(a) – ln(b) =…

Q: A quantity with an initial value of 850 grows continuously at a rate of 90% per decade. What is the…

A: Given: A quantity with an initial value of 850 grows continuously at a rate of 90% per decade. To…

Q: The average profit a local store owner earns on a given day is \$120$120 and is growing…

A: given that average profit per day is $120 rate of growing is 76% per year we have to find profit…

Q: derive a formula for the of time that takes money to increase by one and half in a bank account that…

A: We have R= 3% compounded  yearly Let say it will take t years

Q: How long to the nearest year will it take $50,000 to triple in values at7.5% annual interest…

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Q: Suppose that fis an exponential function with percentage growth rate of 1% and that f(0) = 4. Find a…

A: Given The percentage growth rate is 1% and f0=4.

Q: Suppose that money is deposited daily into a savings account at an annual rate of $1200. If the…

A: Compound interest problem.....

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

A: Continuous compound interest formula: A=Pert P-principle A-Amount r-rate t-number of years.

Q: what is the compound interest if $ 43,000 is invested for 15 years at 8% compounded continuously

A:

Q: What are some of the important characteristics of exponential functions?

A: We need to mention some characteristics of the exponential function. Let's begin.

Q: Create two exponential functions that have a horizontal asymptote at y=3 and go through the point…

A: The solution is given below

Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

A: Topic-basic maths

Q: Determine how long it will take for an initial investment to double if it earns 7% interest per year…

A: The time take to double the initial investment is approximately 10 years  see the calculation below

Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: We have to find the growth rate.

Q: If $4,000 is invested at 8% compounded continuously, graph the amount in the account as a function…

A: P=$4,000 , r=8%=0.08 Now by using compound interest formula for continuously compounding, we have…

Q: Suppose $22000 is invested in an account for 6 years. Find the balance in the account if interest is…

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Q: Expand ln 3√y3z2/x4 as a sum, difference and/ or the consent multiple of logarithms.

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Q: Suppose your great-great grandfather invested $300 earning 3.5% interest compounded continuously 100…

A: Great grandfather invested = 300 dollars Time = 100 Interest rate = 3.5%

Q: When do we use the Chain rule in derivates of exponential function

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Q: lim log, (8X – 4) x→∞

A: The given limit is: limx→∞log28x-4 This can be written as:…

Q: Aman with $30,000 to invest decides to diversity his investments by placing $15,000 in an account…

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Q: Use a linear approximation to estimate log10(10.5).

A:

Q: A quantity with an initial value of 8200 grows continuously at a rate of 0.55% per decade. What is…

A: Initial Value=  8200. Growth rate= 0.55% . We can formulate the following equation for "t" years :…

Q: Give 5 example of integrals yielding natural log functions with solution

A: The integral examples are:

Q: find the equation of the tangent line to the graph of the logarithmic function at the point (1,0)…

A: Given problem:- find the equation of the tangent line to the graph of the logarithmic function at…

Q: Find the accumulated amount after 5 years if $4500 is invested at 4%/year compounded continuously.

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Q: Give 5 examples of derivative of exponential function with solution

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Q: In the last 4 line, where is the ^2 in the ln part?

A: The given integral,      ∫13arctanx dx

Q: Suppose you deposit 3 000 at a 6% interest compounded continuously. What will the Average value of…

A: Given Deposit =$3000 Interest=6% Compounded continuouslyA=Pert

Q: Suppose that money is deposited daily into a savings account at an annual rate of $1100. if the…

A: Given  P: the principal, =$1100 t: the time= 4 years r: the rate, (in decimal form)=0.05

Q: If $2000 is invested at 7.2% compounded continuously, graph the amount in the account as a function…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.