6. 10% of a radioactive substance decays in the first 5 minutes. If Question # the initial mass is 400 grams, give a formula in terms of "t" for the amount left after "t" minutes?

Q: A bank features a savings account that has an annual percentage rate of r=5.4r=5.4% with interest…

A: Principal =$4000 Rate =5.4% Time =99 year  To find quarterly rate =5.4/4 =1.35 % Time =99×4 =396…

Q: Use the compound interest formula A=P(1+r)t and the given information to solve for t.   A=​$36,000​,…

A: Compound interest: Formula : A=P1+rt  where ; A is the amount . P is the principal or invested…

Q: A new car that sells for $18,000 depreciates 17% each year. How many years until the car is worth…

A: Given: New car value =$18,000 Depreciates rate=17%

Q: antity of U-232 remains after 30 yea

A: The quantity remains after 30 years is 75%. It is given that AA0=0.75 , t=30 years. The equation…

Q: Thorium-228 is a radioactive substance that decays 50% every 1.9 years. How much of a 50 gram sample…

A: Given query is to find the amount remaining after 22.8 years.

Q: The radioactive substance neptunium-139 decays to 73.64% of its original amount after 24 hours. How…

A: Given that, in 24 hours, 73.64% of its original amount decays. So, in 24 years, 100-73.64=26.36% of…

Q: Answer each part of the constructed response question. Make sure to clearly label your answer for…

A:

Q: During a preliminary survey of an asteroid, chemical analysis indicated that a certain radioactive…

A:

Q: carbon-14? The decay​ rate, k, of​ carbon-14 is

A: The general exponential function of decaying is given as: A=A0e-kt where A is present amount Aο is…

Q: 0.3 - 0.12x = 0.18x + 0.06

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

Q: Andrea purchased a new car in 2015 at a sales price of $18,900. Three years later she had the car…

A:

Q: What rate of interest compounded annually is required to double an investment in 19 years? The rate…

A: Please refer the attached image for complete solution.

Q: If MFHI= 142, what are MZFHG and MGHI Or-6P (9x-

A:

Q: In 2012, the price of 1lb baking potato was $0.9. Use annual inlation rate of 6% to calculate the…

A: In 2012, the price of 1 lb baking potato was , P =  $0.9.  inflation rate , r  = 6%  t = 9 years…

Q: Mary invests $3500 at 2.75% compounded continuously. How much money will be in the account after 6…

A: Given Principal amount p = $3500 Interest rate r = 2.75% = 0.0275 Time t = 6 years

Q: True or false it is possible for one persons weight to be 500% more then another persons weigh

A: To solve this problem we consider one example.

Q: 5&1/2 of 210=

A:

Q: deposited $25000 today how much would i have in 15 years if back continuously compounds at 1.3%

A:

Q: Heavy equipment loses 1/5 of its value each year. 1. how much is a earthmover worth after 1 year if…

A:

Q: Joe invests $500 in an account earning 6.5% interest compounded continuously. How long will it take…

A: The principal amount invested by Joe is $500. The account earns 6.5% interest compounded…

Q: A sample of bacteria is growing at a continuously compounding rate. The sample triples in 10 days.…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.