While doing battle with Krang in Dimension X, Raphael was exposed to a radioactive cloud. Three months later he notices that he has shrunk in height from 62 inches to 59 inches. After running some tests, Donatello determines that Raphael will continue to shrink at a rate that is proportional to his height. A. Find a formula formula for , Raphael's height in inches, months after being exposed to the radioactive cloud. Round the relative growth rate to four decimal places. B. How long will it take for Raphael to shrink to 30% of his original height? Round your answer to the nearest whole number.

Q: A mess of 40 iguanas moved to a new island which is so large that the carrying capacity is…

A: Population size = N = 40 Generation time = Time per generation = 2 years Growth rate = 0.6 Growth…

Q: Jane currently pays a $723 premium for health insurance. If the premium increases at a rate of…

A: P= pert

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A: Solution: Given data, Initial amount P = $1000 rate r= 5% = 0.05 According to continuously…

Q: As part of a lab experiment, Sam needs to grow a culture of bacteria, which are known double in 11…

A: The answer is found in step-2.

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A: Given that , y=abt and a=100 find the value of b.

Q: Which of the following examples represent exponential growth. a) A zombie movie where the number of…

A: 1. Let at first, colony of bacteria=x After first two hours it becomes =3x  After next two hours it…

Q: Suppose that $1,000 is invested at 5% interest compounded continuously. Use the formula A = Pert.…

A: It is given that $1,000 is invested at 5% interest compounded continuously. That is, P=1000,r=5%.…

Q: 2) Express the following numbers exponentially: a. 0.0000034: c. 6,050: b. 16 um to mm 3) Perform…

A: We will use different conversion formula to calculate this.

Q: According to the United States Census Bureau the population of Utah was 2.12 million people in 1997…

A:

Q: The half-life of radioactive cobalt is 5.27 years. Suppose that a nuclear accident has left the…

A:

Q: You have been raising the price of your Lord of the Fields T-shirts by 50¢ per week, and sales have…

A:

Q: . A certain substance has a half-life of 2 months. We start with 120 g substance. b. How much is…

A:

Q: The half-life of iron-52 is approximately 8.3 hours. Step 3 of 3: How much of a 13 gram sample of…

A:

Q: The value of a savings bond is growing by 2.8% per year compounded continuously. At this growth…

A:

Q: A building was bought for $130,000 and sold 17 years later for $470,000. What interest rate…

A: We will find which formula is appropriate and what should be the next logical step as following.

Q: II. Solve. 2.) Tim invests $1000 into an account in which interest is compounded continuously. If…

A:

Q: The formula for an exponential function is y= 54 x 0.94t , where t is measured in months.  Then the…

A: Given that y=54(0.94)t For t=0, the initial value is= 54(0.94)0 = 54(1)= 54  for t=1 , the value is…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.