The rate of investment is given by I (t) = 5vt. Calculate the capital growth between the 4th and the 6th years.

Q: Find the future value of investment of 5000 at a 5% interest rate for 5 years if it is compounded…

A: We have the direct formula compound interest.

Q: demand for a company's product has increased from 100 units per day to 137 units per day. What was…

A:

Q: how long will take for an investment to double in value if the interest rate 3% APR compounded…

A: We have A(t) = 2A(0) and r = 3% = 0.03

Q: An initial investment of $10,000 grows at 11% per year. What function rep R) - 10,000(1.11)' A) -…

A: Initial Investment f(0)=$10,000 rate r=11% per year  time = t

Q: An investment grows by 23% over a 7-year period. What is its effective annual percent growth rate?

A: The formula to find the amount A is

Q: Given a meaningful interpretation of the statement e0.055a (1+ 0.0565)*-

A:

Q: A sample of bacteria experienced 5% daily growth compounded continuously for 14 days. At the end of…

A:

Q: The production of a gold mine decreases by 5% per year. What is the approximate half-life for the…

A:

Q: You deposit sh. 250,000 in an account that pays 10% interest per annum, compounded continuously.…

A: Given, The amount deposited in an account = 250,000  The rate of interest = 10 % per annum…

Q: An investment grows according to the formula B = 8000 x 1.0065* dollars, where t is time, measured…

A:

Q: derive a formula for the of time that takes money to increase by one and half in a bank account that…

A: We have R= 3% compounded  yearly Let say it will take t years

Q: Write the equation for determining the effective interest of continuous compounding?

A:

Q: Determine how much time is required for an investment to triple in value if interest is earned at…

A: Let P be the principal amount, then the triple amount of P is 3P.

Q: A deposit earns interest at a rate of r percent compounded continuously and doubles in value in 10…

A: Given that, after 10 years, the initial amount is doubles, when the rate of interest r is compounded…

Q: Which formula can be used to estimate the annual investment?

A: Given: Let's determine the formula used to determine the annual investment.

Q: Sales of milk at time t years are projected to be at the rate of 15 + 30e¬0.5t million gallons per…

A: Let S represents the sales of milk at time t years. Then, from the given relation we have the rate…

Q: Find the time required for the investment given in the table below to grow to the specified amount.

A: we will use the formula A(t)=Pe^rt  where  A(t)= ending balance  P= principal amount r= rate t= time…

Q: An investment earns 4% per year and is worth $10,000 after 7 years. PV =

A: The objective of this question is to find the present value (PV) of an investment that earns 4% per…

Q: The population of some native bees is declining at a rate of 6% per year. If there are 15 300 bees…

A: Given- The rate of declining =6%, intial bees in the hive = 15,300. To Find- The number of bees in…

Q: You invest 10,000  and pay 3% interest compound continuously . How will you have in 5 years?

A: Given that You invest 10,000 and pay 3% interest compound continuously .  Now we have to find amount…

Q: At the beginning of the last decade, a total of 7.2 million passengers took a cruise vacation. The…

A:

Q: A quantity has a half-life of 77 years. Its effective annual growth rate is

A: as we know that law of decay x = x0e-kt where k = rate  x = amount at time t  x0 = initial amount

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.