Solve the equation or inequality Round to the nearest ten thousandth 4 ^ (2x) = 9 ^ (x + 1) 2

Q: The average amount of money held by each child in a group of 5 is $0.50.If one of the children loses…

A: Given that: Total number of child = 5Average money held by each child = $0.50

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

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Q: Jorge decides to invest $4600 in a savings account, one that compounds interest quarterly at a rate…

A: Given data: P=$ 4600 Time, t = 5 years Case 1) If interest is compounded quarterly. Rate of…

Q: Solve ex + 5 = 60 and approximate the result to three decimal places.

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

Q: At the end of 2016, the U.S. gross debt stood at about $20 trillion. Express this amountin dollars…

A: It is given that the U. S. gross debt stood at about $20 trillion and the population size is 321…

Q: How much money will you have after 5 years, if you invest 00000 at thé raté ol 2% compounded…

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Q: What would be the rate of increase of an island population of 1000 that has 30 births and 20 death?…

A: An island population of 1000 that has 30 births and 20 death. We need to calculate What would be the…

Q: The average depreciation in value of a new car is 20%at the end of the first year. The depreciation…

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Q: The median selling price of an existing home in the United States increasing continuously over the…

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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: Suppose that you borrow 20000 dollars from a bank, and that the bank charges 4 percent annual…

A: Suppose that you borrow 20000 dollars from a bank, and that the bank charges 4 percent annual…

Q: Average health premiums have been increasing at a rate of 10%. If an average family's premiums are…

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Q: what annual ratte of interst compounded annually is required to double an investment in 9 years?…

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Q: If $5000 is invested at 7% annual simple interest, how long does it take to be worth $8150? yr

A: As from the formula of simple interest, i=p×n×r100               ...(1) Where, p = principal n=time…

Q: A dirty bowl on your counter starts to grow bacteria that doubles every 10 minutes. Assuming you…

A: Given - A dirty bowl on your counter starts to grow bacteria that doubles every 10 minutes. To find…

Q: How long will it take money to triple itself if invested at 5% compound interest rate?

A: GIVEN: Compound interest rate = 5%

Q: Because of a virus introduced into a bacterial culture, the population of the bacteria decreased…

A: Exponential decay is N = 50000e-λt Therefore, 30000 at t= 54 min Therefore 30000 = 50000e-λ54…

Q: A person invested $5, 600 in an account growing at a rate allowing the money to double every 6…

A: Consider the initial amount is $5600 The doubling time is 6 years The general form for the growth…

Q: Alexa invested $54,000 in an account paying an interest rate of 4% compounded continuously. Assuming…

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Q: A couple paid 30000 dollars for a house forty years ago. Today, they sold the housefor 250000…

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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 bank note will be worth $75,500 when it matures in 8 years. If the note pays 3.93% per year…

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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: What are two ways to write the increment of work?

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Q: During the first half of the year, 686 patients were admitted to the cardiovascular care unit. Of…

A: From the provided information, Number of patients who were admitted to the cardiovascular during…

Q: solve for x   ln(x)=.0807

A: We want  to free up x from natural  log. So take exponential  on both side.

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: Antonio deposits $9,200 in a savings account that pays 5.5% compounded continuously. How much will…

A: We have to find

Q: what is the PV of the investment. Round to the nearest cent. worth $14,000 after 4.5 years at 5.25%…

A: Given data:   *The future value of the investment is FV=$14,000. *The time taken to have the future…

Q: Venkat lends a sum P at r% compound interest, compounded every moment for ten years. It becomes “a”…

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Q: There is a machine that costs $3178, has a life of 6 years and no salvage value. The capitalized…

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Q: how do you solve a mid point with missing value

A: We have given to find midpoint with missing value Let two  points   Px1,y1 and Q(x2,y2 Mid point is…

Q: suppose your $1200 laptop depreciates 1% per week.  After what week will your computer first become…

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Q: Angel invests in a continuously compounded account at 2.6% interest for 12 years. At the end of…

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Q: In 2015, the median age at first marriage of U.S. women (27.1years) was_______ percentage less than…

A: From the given information, it is observed that the median age at first marriage of U.S. women in…

Q: The sum of two positive numbers is 16. What is the smallestpossible value of the sum of their…

A: Given, The sum of two positive numbers is 16. Suppose these two positive numbers are x and y The sum…

Q: Sima invests some money in an account that earns a fixed rate of interest compounded annually The…

A: Given that, Sima invests some money in an account that earns a fixed rate of interestcompounded…

Q: SeC secfe de

A: The given integral is: I=∫24 sec-2θ dθ

Q: A worker's salary starts at £25000 per annum and increases by £2500 every year. How long does she…

A: The initial salary of the worker is £25,000 per annum. Her salary increases by £2500 every year.…

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

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Q: Find the total accumulated amoun

A: Given: Invested amount = $6500 Interest rate = 5 %

Q: a person plans to invest three times as musch in an account at 3.1% interest as in account at 13%…

A: A person plans to invest three times as much in an account at 3.1% interest as in account at 13%…

Q: Gasoline prices are rising at a rate of 0.4​% per month. What is their doubling​ time? By what…

A: The doubling time formula is Doubling time=log(2)log(1+increase) Where increase is the constant…

Q: You decide to save slightly less than that and save $600 a month to invest into a retirement account…

A: The formula of compound interest is, A=P1+rnnt where A=final amountP=principal amountr=annual ratein…

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

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Q: Solve for x 2ln (x-5)= ln (x+7)+ln6

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Q: Assume a new car costs £20k and loses 20% of its value every year. How much is it worth after 5…

A: Let us assume the worth of a  house at present year is x$. After every year  worth decreases by y%.…

Q: A person invested $3, 700 in an account growing at a rate allowing the money to double every 14…

A: we need to find the yearly compound interest rate then we will find the years taken for the value to…

Q: ,400 in an account growing at a rate allowing the money to double every 6 years. How much money…

A: Introduction: The formula for the growth function is given by, A=A0ert Where A0 is the Initial…

Q: The initial population of Rachtropolis is 3100 and it grows with a doubling time of 10 years.…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.