Please answer the following questions with solution. 3. A machine costs 9,500 pesos and its value depreciates 10% per year, how much will it be worth in 5 years. 4. An element has a half-life of 3 hours. If at a particular moment we have 40 grams of the element, how much of it remains 24 hours later?

Q: You have 10 ounces of a radioactive substance with a half-life of 5 hours. How long it be until only…

A: Solution

Q: How long will it take $1,400 to triple if it is invested at an annual interest rate of 5.9%…

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Q: If $6000 is invested at 3% compounded continuously, what is the amount after 8 years? The amount…

A: Answer  is   7625

Q: A company is considering expanding their production capabilities with a new machine that costs…

A: The present value of that income stream is given by   PV=∫0TF(t) e-rtdtPV=∫068000…

Q: Evan is going to invest in an account paying an interest rate of 5.4% compounded continuously. How…

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Q: If you start with 65 milligrams of Chromium 51, used to track red blood cells, which has a half-life…

A: N(t)=N0e-tln2h N0=Initial amountt=decay timeh=length of half life Initial amount= N0=65 milligrams…

Q: You have 10 ounces of a radioactive substance with a half-life of 5 hours. How long will it be until…

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Q: Given that the half-life of radium is 1690 years, how much in milligrams will remain of one gram of…

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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: At what nominal rate compounded continuously must money be invested to triple in 7 years? ..... A…

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Q: How much hould I invest now to yield $25 000 in 3 years' time, if the money can be invested at a…

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Q: Hannah wants to have $6000 to help pay for a new deck in 10 years. If she wants to put her money…

A: Time has been valuable in all aspects but in terms of finance, time has a money value. The worth of…

Q: Joshua is going to invest $680 and leave it in an account for 19 years. Assuming to interest is…

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Q: 3. The half-life of sodium-25 is 1.0 minutes. a) Starting with 1.0 kg how much will remain after ½…

A: Half life is very significant for chemical substances, especially for nuclear substances. It informs…

Q: If you need $400,000 in 18 years for your child's college, how much should you invest TODAY at 2.1%…

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Q: If 200 mg of radium is reduces to 160 mgof radium in 400 years Write the mathematical model to…

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Q: Answer the following SHOW YOUR SOLUTIONS  1. Strontium-90, a radioactive substance, has a half-life…

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Q: A company is considering expanding their production capabilities with a new machine that costs…

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Q: A company is considering expanding their production capabilities with a new machine that costs…

A: Cost of new machine = 60,000 Investment = 60000 Rate of interest, r= 1.4% per year = 0.014 Time = 6…

Q: Suppose a nuclear accident releases 50 kilograms of the element Cesium 137. If the half life of…

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Q: Savannah is going to invest $220 and leave it in an account for 12 years. Assuming the interest is…

A: We have, Savannah is going to invest $220 and leave it in an account for 12 years and at the end,…

Q: 10) The half-life of silicon-32 is 710 years. If 40 grams is present now, how much will be present…

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Q: Suppose you have 100g of Titanium-44, which has a half-life of 63 years. After how long will only 1g…

A: Initial amount=P=100  Half life= H= 63 years  Final amount= A= 1  Time= t years Using the half-life…

Q: Find the length of time required for $1000 to double if the money was invested at 9%/a compounded…

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Q: If 16% of a radioactive substance decays in 14 hours, what is the half-life of the substance? Round…

A: Consider the formula for the decay of the radioactive substance. Find the value for A(t) at t = 14…

Q: How long, to the nearest hundredth of a year, would it take an initial principal P to triple if it…

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Q: Sarah is going to invest $280 and leave it in an account for 9 years. Assuming the interest is…

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Q: Elizabeth is going to invest $480 and leave it in an account for 8 years. Assuming the interest is…

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Q: 2. Suppose a nuclear accident releases 50 kilograms of the element Cesium 137. If the half life of…

A: Given- Intial amount of Cesium-137 is 50 kg and half life is 30 years. To find- The amount after 30…

Q: Radium decomposes at a rate proportional to the amount present. If 100 milligrams of Radium at…

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Q: Given an interest rate of 7.2% per year, compounded continuously. What is the quarterly interest…

A: Given query is to find the quarterly intrest rate.

Q: A piece of machinery valued at $30,000 depreciates at a rate of 10% yearly. How long will it take…

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Q: Solve the problem. 3) The half-life of silicon-32 is 710 years. If 20 grams is present now, how much…

A: The half-life of silicon-32 is 710 years. If 20 grams is present now, how much will be present in…

Q: Find the half-life (in hours) of a radioactive substance that is reduced by 5 percent in 15 hours.

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Q: Radium has a weight of 1.5 and a half life of 6 years. What is its weight after 3 years?

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Q: 1. The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Since you posted two questions here, i can answer only first one at a time. Please repost other…

Q: 16) How long, to the nearest year, will it take an investment to triple if it is continuously…

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Q: Suppose a radioactive substance has a half-life of 1000 years. What fraction will be leftafter 1000…

A: Given that the half life is 1000 years. This means 1/2 of the the original amount is left after 1000…

Q: How long would it take an investment to double under each of the following conditions? (a) Interest…

A: In this question we have to find time in which our investment ti be double.

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

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Q: The​ half-life of​ silicon-32 is 710 years. If 40 grams is present​ now, how much will be present in…

A:

Q: a) If an investment grows in value at 2.4% per year, how long will it take for its value to double?…

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Q: An investment of $9000 grows to $10,296.59 in 4 years. Find the annual rate of return for annual…

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Q: 2. At what rate of interest, compounded continuously will an investment double in six years? 3.…

A: (2) given that the principle amount will gets doubled in six years if the amount is compounded…

Q: How long (in years) would $200 have to be invested at 9%, compounded continuously, to amount to…

A: Future Value(FV) is the anticipated value of any Current Amount in the future time period. It is…

Q: 2. A radioactive material loses 25% of its mass in 10 minutes. What is its half-life?

A: Let No be the initial mass, N be remainingmass.  Then  N= No - 25100 No = No - No4=34NoHence    t…

Q: If you need $50,000 four years from now, what is the minimum amount of money you need to deposit…

A: A = $50000 , R =3% , t=4 years1) Compounded annuallyA =…

Q: How much of a radioactive kind of tungsten will be left after 363 days if the half-life is 121 days…

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Q: Joshua is going to invest $490 and leave it in an account for 5 years. Assuming the interest is…

A: Solution:-

Q: Element X decays radioactively with a half life of 8 minutes.If there are 980 grams of Element X,…

A: We have to find the time