Identify the asymptotes in the following equations: A. log(x+3)-4 B. 2^(×-1）+4 C. log(x) +2 D. 3^x

Q: The average profit a local store owner earns on a given day is $810 and is growing exponentially at…

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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: 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: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…

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Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for period 3 years

A: The formula used: A=Pert

Q: A spotlight on the ground shines on a wall 12 m away. If a girl 1.2 m tall walks from the spotlight…

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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…

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Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Here we use the formula of area of triangle. First we differentiate area with respect to time and…

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

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Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for each period.2…

A: Given: P=12,104  dollarsr=0.062t=2  years

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: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for period 4 years.

A: Given : Invest amount ( P ) = $ 12,104 . Interest rate ( r) = 6.2 %  Period ( t) = 4 years

Q: Assume that a population of E. coli bacteria doubles every 20 minutes. Construct a table that shows…

A: Given that, The population of E. coli bacteria doubles every 20 minutes. Initially Population start…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

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Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

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Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…

A: Let, a be the spotlight and “ed” be the wall on which the spotlight shines.Therefore, “ad” is the…

Q: A bank pays interest continuously at the rate of 6%. How long does it take for a deposit of Q0 to…

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

A: Compound interest problem.....

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: A man 2 m tall walks toward a lamppost on level ground at a rate of 0.5 m/s. If the lamp is 5 m high…

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Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…

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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: A 25,000 machiene depreciates linearly to 0 over a ten year period.What is the value of the machiene…

A: The Initial value of machine is 25000 and its depreciates linearly to 0 over a ten year period. We…

Q: Each side of a square is increasing at the rate of 8 cm/sec. At what rate is the area of the square…

A: Solution :let, side of square=xArea of square=Adxdt= 8 cm/secA= 36 sq. cmA=x2    Area of square=side…

Q: Find the limit of: limit of log5(8x-x4) as x approaches 2-

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

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Q: A helicopter is rising vertically from the ground at a constant rate of 4.5 meters per second. When…

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Q: A man with ​$30,000 to invest decides to diversify his investments by placing ​$15,000 in an account…

A: Total Amount = $30,000Amount  compounded continuously =  Pertand   Amount compounded  Anually…

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: A spotlight on the ground shines on a wall 10 m away. If a man 3 m tall walks from the spotlight…

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Q: A principal of 7000 Rial is invested at rate 9% interest for 8 years. Determine the future value if…

A: Given, Principal Amount (P) = 7000 Rate of interest (r) = 9% Time period (t) = 8 years

Q: A spotlight on the ground shines on a wall 12 m away. If aman 2 m tall walks from the spotlight…

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

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Q: The graph of y = log2x  has been shifted three units up and two units to the left, what would be the…

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Q: 4. In a certain bank account, at t = 3 years, the amount in the account is Php 52500, and att = 5…

A: topic - compound interest

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of 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: A principal of RM2000 is invested at 10% interest compounded continuously. After how many days will…

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Q: Suppose that money is deposited daily into a savings account at an annual rate of $800. If the…

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Q: Find the total accumulated amoun

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

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A: Formula of area of triangle 12bhWhere b is the base and h is the altitude Chain rule (uv)'= u'v+uv'

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

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Q: $570 is invested in an account earning 5.8% interest (APR), compounded continuously. Write a…

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Q: A money market fund has a continuous flow of money at a rate of f(x)=1500x-170x2 for 10 years. Find…

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Q: A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight…

A: We can sketch the situation roughly as follows. Here, CE and DF both are the positions of the…

Q: A rectangular beam will be cut from a cylindrical log of radius 10 inches. Suppose that the strength…

A: Solve the given problem

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

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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…