solve for x \frac{9}{5}\log _5\left(x\right)=10 You may enter the exact value or round to 4 significant decimal places.

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: Solve for x: log(5x + 45) – logx = 1

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

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

A:

Q: Solve for : log(x + 5) – log(x + 2) = 2

A:

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: The count in a bacteria culture was 400 after 10 minutes and 1200 after 35 minutes. Assuming the…

A:

Q: A population is known to grow exponentially. If it starts at 100 and is 150 after 3 months when will…

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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: The average profit a local store owner earns on a given day is \$590$590 and is growing…

A:

Q: Differentiate: 4. y = 6* log7 x

A:

Q: A quantity with an initial value of 5700 decays exponentially at a rate of 7.5% every 2 days. What…

A: Given data: The given rate is r=7.5%. The given time is t=2 days. The initial value is A=5700. The…

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: Solve for x: 9. -log3 x = – 10 = x You may enter the exact value or round to 4 significant decimal…

A: Given:       95log3x=-10

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: Express sinh-1 x in terms of logarithms.

A: Let  y=sinh-1x⇒x=sinhy

Q: A quantity with an initial value of 980 decays exponentially at a rate of o.3% every decades. What…

A:

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log9 x…

A: Use the log property to simplify the left side of the equation log9 x+3 log3 x=14. Use property…

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

A:

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: 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: A person places Php100,000 in a savings account which pays 3 percent interest per annum, compounded…

A: 2. Given that, A person places Php 100,000 in a savings account which pays 3 percent interest per…

Q: Solve 3 log 80 - ln 5log 5

A: 3log80-ln5log5 Now, simplifying the above expression using the property of logarithms.…

Q: A computer viruS can grow exponentially just like a real virus in a person's body. Suppose the…

A:

Q: Suppose that money is deposited daily into a savings account at an annual rate of $1400. If the…

A:

Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places..³- - x =…

A:

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: y = log2vx

A: Given, y=log2x

Q: Solve for using the definition of logarithm: (logx+29)- 2=0

A:

Q: The drug Valium is eliminated from the bloodstream exponentially with the half-life of 36 hours.…

A: Given,

Q: A computer virus can grow exponentially just like a real virus in a person's body. Suppose the…

A: Given that: Initial bytes infected = 11 bytesRate of growth = 7% per min.

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

A: The integral examples are:

Q: what is intergral log x /x

A: WE HAVE TO INTEGRATE

Q: Solve: log10x + log(x + 9) = 1

A:

Q: A quantity with an initial value of 510 grows exponentially at a rate such that the quantity doubles…

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Q: A principal of RM2000 is invested at 10% interest compounded continuously. After how many days will…

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Q: A person places Php 85,000 in a savings account which pays 13 percent interest per annum, compounded…

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

A:

Q: A quantity with an initial value of 390 decays exponentially at a rate of 8.5% every 9 weeks. What…

A: We give the change of the quantity as a function of time as y(t)=390 e-0.0859t where t is in weeks.

Q: Jun has decided to save money roughly P25 per week. Suppose he makes weekly deposits of this money…

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Q: The count in a bacteria culture was 800 after 10 minutes and 1800 after 35 minutes. Assuming the…

A:

Q: A bank note will be worth $76,000 when it matures in 4 years. If the note pays 3.63% per year…

A: Given:A bank note will be worth $76,000 when it matures in 4 years. If the note pays 3.63% per year…

Q: Find the time it takes for $5,800 to double when invested at an annual interest rate of 5%,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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.