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: Suppose that Ruby's employer offers a retirement plan. Ruby decides to invest $350 per month into…

A:

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: Find an equation for the balance t years after January 1, 2010 Find the balance at the beginning of…

A: Given, initial balance = Principal = p = 5000 time period = t years rate of interest = r =  5% per…

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: ou invest $1400 in an account compounded continuously at 2.25$ for 5 years. How much money do you…

A: Formula for finding the amount in compound interest - A = P1+R100t…

Q: Find the accumulated amount after 3 years if $5000 is invested at 7%/year compounded continuously.…

A:

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: 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: In compound interest, time is divided into interest periods. During each period, interest is earned…

A: Common difference (r) = second termfirst term

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: 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:

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.