exponential expression of a^2/5

Q: The price of a commodity doubles in a'period of 4 years. What is the average percentage increase per…

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Q: A culture of bacteria originally numbers 500. After 2 hours there are 1,500 bacteria. Assuming…

A: Given Initially bacteria are 500 after 2 hours they are 1500

Q: tion size after 9 years. ary.

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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: $770 is invested in an account earning 9.3% interest (APR), compounded monthly. Write a function…

A: Dollar 770 is invested in account earning at 9.3% and it is compounded monthly means= RATE/12 and to…

Q: Express ln( 6x^4 ) − ln( 3x ) as a single logarithm and simplify as much as possible.

A: Explanation of the solution is given below..

Q: What are 3 properties of exponents and what are their companion properties of logarithms?

A: What are 3 properties of exponents and what are their companion properties of logarithms? This can…

Q: exact doubling time of: a nation of 100 million people is growing at a rate of 4% per year. What…

A: N0=100×106=108Nt=1081+4100t, where t is in yearsN15=1081.0415=180094350 people

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

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

Q: Sketch the Relationship Between the Graphs of Logarithmic and Exponential Functions in one cartesian…

A: Here, we have    y=b2  and y=logbx       0 < b < 1

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

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Q: Evaluate exponential functions

A: Given:  Evaluate  exponential function.

Q: The interest on a bank savings account is compounded continuously, with an annual int determine the…

A: P=7000r=6%=0.06t=6To find A

Q: A $97 deposit is made into an account which is compounded continuously at 10.45% annual. Find the…

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Q: Expand into sums and/or differences of logarithms:  log2x

A: Let us assume y(x) = log2x.  We have to expand this function into sums Or differences of logarithms.…

Q: exponential function

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Q: Define Exponential Functions

A: Query-  Define Exponential Functions. Answer- An exponential function is a Mathematical function in…

Q: Acell population grows exponentially beginning with one cell. Which takes longer: increasing from…

A: Note that increasing from one to two cells means the population should be doubled. On the other hand…

Q: V1024(V64)*) Express as a single exponent with a base of 2. Show all detailed work including the use…

A: Given:     To determine: Express the given expression as a single exponent of base 2.

Q: On the day of a child's birth, a parent deposits $30,000 in a trust fund that pays 4% interest,…

A: it is given that, a parent deposits $30,000 in a trust fund that pays 4% interest, compounded…

Q: Suppose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The…

A: Given:    Since we have given that Number of bacteria initially = 1   It triples in number every 30…

Q: A quantity increases by 6% for each 10 years.  What is its percentage increase over the 10-year…

A: Consider the initial value be x. Rater=6⁒timet=10 years Final…

Q: ln(x+2)=7

A: We have to solve for x

Q: $850 is invested in an account earning 8.8% interest (APR), compounded monthly. Write a function…

A: Given that the investment amount in the account is $850, the rate of interest is 8.8% and the time…

Q: The count in a bacteria culture was 800 after 10 minutes and 1200 after 35 minutes. Assuming th…

A: Please refer to the image below

Q: On the day of a child's birth, a parent deposits $30,000 in a trust fund that pays 5% interest,…

A: To find the balance in this account on the child's 24th birthday when compounded continuously

Q: Express in terms of sums and differences of logarithms:

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Q: Suppose that $70000 is invested at 9% interest per year. Find the amount of money in the account…

A: Given: Principal (P) = 70000 Interest rate (r) = 9% = 9 / 100 = 0.09 time (t) = 6 years

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: Logx=log12-2log2+log3

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Q: 4Log46 - log44-2

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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: log4(x)-2logx(4)=1

A: log4x-2logx4=1

Q: A certain ball is dropped from a height of x feet. It always bounces up to 2/3x feet.  Suppose the…

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Q: Find the doubling time for a city whose population is growing by 23% per year. pling time is years.

A: To find the doubling time for a city whose population is growing by 23% per year.

Q: use exponent laws to explain why 3 ln 2 is equivalent to ln8

A: By exponent law     mlna = lnam    for any a and m.

Q: Suppose that $2,300 is invested in an account that pays interest compounded continuously. Find the…

A: Given, Investment = $2300 Amount = $3300 Interest rate = r = 3.5% The formula for the amount of time…

Q: The logarithm of a quotient of two numbers is the same as the -Select-- of the logarithms of these…

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Q: Suppose you deposit $6000 at 9% interest compounded continuously. Find the average value of your…

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Q: Find the doubling time of an investment earning 6​% interest if interest is compounded continuously.

A: The doubling time formula with continuous compounding is the natural log of 2 divided by the rate of…

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: 5. What term number contains x* in x' + identifying the exponential pattern on the variable x,…

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

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Q: Suppose that $40000 is invested at 7% interest per year. Find the amount of money in the account…

A: Given, P = 40000 dollars r =  0.07 t = 6 year   If the interest rate is compounded n times per year,…

Q: log(x-1)=2+2logx 5.

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Q: Express log,(9AB) in terms of log ,4 and log, Bin simplest form.

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

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Q: 2log46-log49

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Q: Find a formula for the exponential function passing through the points (-3, 6250) and (2, 2) f(x) =…

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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.