Find the exponential equation in the form y=ab^x whose graph passes through the points ( -3,0.032) and (3,500). (Please show work, indicating all steps and formula substitutions you used)

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: Suppose a study is completed that finds that the number of cockroaches in Chandler decreases by 18%…

A: Given: Initial population of cockroaches = 3.5 millions = 3500000  Rate of decrease = r=18%=0.18…

Q: The half-life of a substance is 1200 years. If the initial amount of the substance is 300 grams,…

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Q: The count in a bacteria culture was 500 after 20 minutes and 1500 after 30 minutes. Assuming the…

A: Given that, the count in a bacteria culture was 500 after 20 minutes and 1500 after 30 minutes.…

Q: The count in a bacteria culture was 600 after 20 minutes and 1700 after 40 minutes. Assuming the…

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Q: What exponential function will pass through both (0,6) and (1,3)?

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

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

Q: The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4…

A: We use the formula                                P = ∫0T f(t)e-rt dt

Q: The count in a bacteria culture was 500 after 20 minutes and 1700 after 30 minutes. Assuming the…

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Q: The count in a bacteria culture was 400 after 10 minutes and 1700 after 30 minutes. Assuming the…

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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: Express sinh-1 x in terms of logarithms.

A: Let  y=sinh-1x⇒x=sinhy

Q: Find exponential equation by using these two point (-2,6) and (3,1)

A: Consider y=aebx for some real numbers a and b. As (-2,6) satisfies the equation,…

Q: The mass reaches 75 grams after t= years.

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Q: The count in a bacteria culture was 500 after 20 minutes and 1100 after 40 minutes. Assuming 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: 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: The number of women graduating from​ 4-yr colleges in a particular country grew…

A: let the exponential function is   P(t) =P0 ert

Q: x3tanx

A: Given that :   Integrate( x+logx-x3tanx)

Q: The count in a bacteria culture was 900 after 10 minutes and 1500 after 40 minutes. Assuming the…

A: NOTE: Refresh your page if you can't see any equations. . let the exponential function is in the…

Q: A population starts with 2,500 individuals and doubles every 40 years. Give an exponential model for…

A: The initial population is 2500. It gets doubled every 40 years. So after 40 years the population…

Q: derive a formula for the of time that takes money to increase by one and half in a bank account that…

A: We have R= 3% compounded  yearly Let say it will take t years

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

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

A: Definition of the exponential functions helps to find the answer to the problem. A function is said…

Q: Among various populations of plants or animals, diseases spread exponentially. Use the function…

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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: A tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. How do…

A: Consider the given information ,tumor is injected with 0.9gm

Q: Create two exponential functions that have a horizontal asymptote at y=3 and go through the point…

A: The solution is given below

Q: What exponential function will pass through both (2,4) and (5,7)?

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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: The count in a bacteria culture was 500 after 15 minutes and 1900 after 35 minutes. Assuming the…

A: Given that, count of bacteria culture after 15 minutes = 500 count of bacteria culture after 35…

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

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Q: The count in a bacteria culture was 700 after 20 minutes and 1200 after 35 minutes. Assuming the…

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Q: A woman invests $6400 in an account that pays 6% interest per year, compounded continuously. (a)…

A: To find the Final amount by using Compound interest, the following formula can be used…

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: The population of a new city started at 1,200; however, it grew at a rate of 2% each year. Express…

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Q: When do we use the Chain rule in derivates of exponential function

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Q: A city has 1000 individuals and its population doubles every 60 years. Give an exponential model for…

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Q: The count in a bacteria culture was 300 after 15 minutes and 1800 after 30 minutes. Assuming the…

A: It is given that, Initially, at time t1=15 min. the bacteria count was N1=300 While, at time t2=30…

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: What are the linear and exponential functions whose graphs contain the points (0,4) and (3,108)?

A: Here we have to find the linear and exponential functions whose graphs contain the points (0,4) and…

Q: A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is…

A: General expression for exponential growth function is given by,                   n(t) = a(1+r)t…

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: The count in a bacteria culture was 500 after 15 minutes and 1100 after 40 minutes. Assuming the…

A: Let the exponential model is : y=a(bx)  Where x= time in minutes  y= number of bacterias

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

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Q: Find a formula for the exponential function passing through the points (-2,- -) and (1,20) 25

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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: 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…

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