(a) A radioactive substance has a half-life of 20 years. If 8 mg of the substance remains afte 100 years, find (i) how much of the substance was initially present. (ii) after how many years only 2 mg will remain.

Q: I) A principal of 7650 OMR is invested at rate of 3.7% compounded continuously. After how many years…

A: (I) When the interest rate is compounded continuously, the formula is given by A=Pert Where,…

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A:

Q: Suppose you have a cache of radium, which has a half-life of approximately 1590 years. How long…

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Q: How much should be invested now at an interest rate of 5.5% per year, compounded continuously, to…

A: We can find the answer as below.

Q: Dylan is going to invest in an account paying an interest rate of 4.1% compounded continuously. How…

A: topic - exponents

Q: How many years will it take $2,000 to grow to $3,800 if it is invested at 5.50% compounded…

A: Given Initial investment=P=2000 Grow to amount=Q=3800 Rate of interest=r=5.50% p.a.

Q: The half-life of radium is approximately 1600 years. If the present amount of radium in a certain…

A: Consider the formula to find the remaining amount of radium.The half life, t(1/2) is 1600 yrs.The…

Q: Suppose you have a cache of radium, which has a half-life of approximately 1590 years. How long…

A: Given that Half life of radium is 1590 years To find How long would you have to wait for 1/8 of it…

Q: How long will it take for an investment to triple, if interest is compounded continuously at 7%?…

A: We can find the answer as below.

Q: How long does it take for a deposit of $800 to double at 9% compounded continuously? How many years…

A: I am attaching image so that you understand each and every step.

Q: The half life of a decaying substance is the amount of time it takes for the substance to reduced to…

A:

Q: 18. Suppose $7,800 is invested in an account at an annual interest rate of 4.3% compounded…

A:

Q: At current growth rates, the earth’s population is doubling about every 69 years. If this growth…

A: Number  of years - To calculate

Q: How long will it take money to double if it is invested at (A) 13% compounded continuously? (B) 15%…

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Q: How many years will it take $1,000 to grow to $2,000 if it is invested at 4.25% compounded…

A: Given query is to find time taken to grow $1000 to $2000.

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Q: How many years will it take $2,000 to grow to $3,300 if it is invested at 2.50% compounded​…

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Q: How many years will it take $3,000 to grow to $5,000 if it is invested at 3.25% compounded…

A: To solve this problem we need to use the following result:

Q: 12) How long does it take $1000 to double if it is invested at 5% compounded continuously?

A:

Q: How long will it take for $8400 to grow to $14,600 at an interest rate of 9.4% if the interest is…

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Q: How long does it take for a deposit of $1100 to double at 7% compounded continuously? How many years…

A: Given: principal amountP=$1100, rate of interestr=7% compounded continuously and final amountF.A.=2P…

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Q: How many years will it take $10,000 to grow to $16,200 if it is invested at 3.50% compounded…

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Q: practice question 18

A: P0= Initial amount = 2700r= interest rate = 6.8% =0.068t= time = ?P(t)= Final amount = 2700 times 2=…

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A: We will use continues compounding formula

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Q: Evan is going to invest in an account paying an interest rate of 6.1% compounded continuously. How…

A: Evan is going to invest in an account paying an interest rate of 6.1% compounded continuously. How…

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A:

Q: How many years are required for an investment to double in value if it is appreciating at the rate…

A:

Q: How long does it take for a deposit of $800 to double at 5% compounded continuously? How many years…

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Q: Brianna is going to invest in an account paying an interest rate of 5.2% compounded continuously.…

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Q: 4. A deposit of $400 is made in an account that earns interest at an annual rate of 2.5%. How long…

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Q: How many years will it take for an initial investment of $20,000 to grow to $30,000? Assume a rate…

A: Topic = Algebra

Q: How many years are required for an investment to double in value if it is appreciating at the rate…

A: formula for continuous compound interest  A = P e r t  t = number of years  r = interest rate  P =…

Q: A sample of radium has a weight of 1.5mg and a half-life of approximately 6 years how much of the…

A:

Q: Suppose you have a cache of radium, which has a half-life of approximately 1590 years. How long…

A: The radioactive decay is modelled using the equation, N(t)=N0e-kt. Here, N(t) is the amount of…

Q: Suppose you have a cache of radium, which has a half-life of approximately 1590 years. How long…

A: Given, you have a cache of radium, which has a half-life of approximately 1590 years.

Q: 22. The half-life of radium-226 is 1620 years. a) If the current mass of a sample is 100 grams, what…

A:

Q: If you invest $5000 compounded continuously at 4% p.a. how much will this investment be worth in 5…

A: The initial amount P=$5000 Rate of interest r=4%=4100=0.04 p.a. The time period t = 5 years

Q: How many years will it take $8,000 to grow to $12,900 if it is invested at 3.25% compounded​…

A:

Q: The half life of a decaying substance is the amount of time it takes for the substance to reduced to…

A: Let us assume it takes n half-lifes to reach 10mg

Q: How many years will it take for an initial investment of $20,000 to grow to $30,000? Assume a rate…

A: Consider the Initial amount P=$20000. Final amount A=$30000. Rate of interest r=12%=0.12 The…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.