9. (x) = log(1-2x)

Q: 10. Engr. Igup invested P200 000 in a savin gs account with interest rate of 4% compounded…

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Q: A colony of bacteria is growing exponentially. At time t = 0 minutes it has 300 bacteria in it, and…

A: Let's Solve,

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 fis an exponential function with percentage decay rate of 5% and that f(0) = 9. Find a…

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Q: Find the effective rate of interest. For 6% compounded continuously

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Q: Find the First Derivative: y=log10(5x+3/5x-4)

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Q: how long will take for an investment to double in value if the interest rate 3% APR compounded…

A: We have A(t) = 2A(0) and r = 3% = 0.03

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: 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: A quantity with an initial value of 220 grows continuously at a rate of 9.5% per hour. What is the…

A: Consider the provided question, Given, initial value = 220  Rate, r = 9.5% = 0.095 per hour t = 225…

Q: What is the first derivative of s(x)=(6x)^3x at x=3? Enter an exact answer in terms of a natural…

A: We will take the logarithm with base e and then find the derivative with respect to x and then…

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: A quantity with an initial value of 840 decays continuisly at a rate of 5% per day. What is the…

A:

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

A:

Q: How long does it take for $350 to grow to $840 at 6% annual percentage rate compounded continuously…

A: Continuously compounded interest formulaA= PertP = the initial principlee = natural baser = annual…

Q: Find the present value of $2000 to be received in 10 years, if money may be invested at 8% with…

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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: Find the slope of the tangent line to the exponential function at the point (0, 1). y (0, 1) -1 1

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Q: If there are 520 grams of Tadioactive material with a half-life of 12 hours, how TIuch of the…

A: The material is decaying at a constant rate, every 12 hours it is getting halved.  So, it is an…

Q: $400 invested at 7% compounded continuously after aperiod of 3 years

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Q: Suppose that you have $2500 to invest at 4% compounded continuously.  The accumulated amount after…

A: Given investment amount $2500 and rate of interest r=4%=4100=0.04. Compounded continuously. The main…

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: Suppose the rate of net investment is given by I (t) = Lnt, find the total capital accumulation…

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Q: What is the first derivative of q(x)=(3x)7x at x=2?  Enter an exact answer in terms of a natural…

A: When there is variables in exponent we should take log both side then differentiate. Here we use…

Q: Suppose there is one pupil in a class of 60 who was infected by the Influenza B virus. Assuming none…

A: The logistic growth equation here is: P(t)=P0e0.7050t Where, P is the number of students inflected…

Q: Create a function in VBA of the equation of exponential curve fitting of The Annual Revenues of…

A: it graph based problem  try to substitute each value of x from 0 to 5000 and with obtain values try…

Q: 2. y=cot1-2x 3. y=log22x*

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Q: A quantity with an initial value of 200 grows continuously at a rate of 4% per second. What is the…

A: To find: The value of quantity after 1.55  minutes. Given: The initial value of quantity is 200 and…

Q: A money market fund has a continuous flow of money at a rate of ​f(x)=1,900x−180x2 for 10 years.…

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Q: see attached

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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: Find the effective rate of interest for 10% compound continuously.

A: The continuous rate is calculated by raising the number "e" (approximately equal to 2.71828) to the…

Q: A quantity with an initial value of 590 decays exponentially at a rate such that the quantity cuts…

A: A quantity with an initial value of 590 decays exponentially at a rate such that the quantity cuts…

Q: What is the derivative of: log x/(x+1)

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Q: What initial investment at 8% compounded continuously for 5 years will accumulate to $50, 000?

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Q: Find the slope of the tangent line to the exponential function at the point (0, 1). y (0, 1) 1

A: Tangent to a curve is a line which just touches the curve and in some sense is parallel to the…

Q: How long does it take to have a balance of $900 if $500 is invested at 0.75% annual interest…

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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: 2. How long will it take you to get ten times your money at 2% interest compounded continuously.

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Q: 11) Suppose that $6500 is invested at 4% for 3 years. Find the total amount present at the end of 3…

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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: 2) Bank A offers 5% nominal interest compounded every 3 months. What is the nominal interest rate…

A: Given that, Bank A offers 5% nominal interest compounded every 3 months.

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

A: This is a question based on compound interest. we have to calculate on the basis of continuous…

Q: Suppose that a machine's production can be considered as a continuous income stream with annual rate…

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Q: What is the derivative of log (x²)? ○ 2x-log(x²) 1 x² 2x O log(2x) O exp(2x)

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Q: what is the Derivative of Exponential Functions?

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Q: how long will it take an investment of $25,000 to grow to $35,000 ast an anual interest rate of 5%…

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