Meg invested $35,800 in a water park this year. After renovations, she expects her investment to be worth an additional 12% next year. Assuming it increases by 12% each year, you can use a function to approximate the value of Meg's investment x years from now.Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)x.

Roberta invested $600$600 into a mutual fund that paid 4%4% interest each year compounded annually. Write an exponential function of the form y=a(b)x𝑦=𝑎(𝑏)𝑥 to describe the value of the mutual fund then use that function to determine the value of the mutual fund in 1515 years.y=𝑦= (( )x)𝑥What number will you fill in for x𝑥 to solve the equation?y=$𝑦=$

Jemima puts $30 000 into an investment that compounds monthly.a What annual interest rate would allow Jemima’s investment to double after 5 years ifshe invests an additional $400 each month for 5 years? Round your answer to onedecimal place.Assume the investment pays 3.2% per annum, compounding monthly.b i If she wants her investment to be worth at least $40 000 in 1 year, what is theminimum she will need to add to the investment each month? Round youranswer to the nearest cent.Note: You will need to round your answer up so that it reaches $40 000.ii If she invests an additional monthly payment of at least $1000, what is theminimum number of months that it will take for the investment to first reach$100 000?

Tim has just inherited £1000 and he decides not to invest it but rather to spend 10% of the remaining money each month. Each month Tim’s saving thus reduce by a factor of 0.9.Calculate, to the nearest integer, the amount remaining (in £) after 20 months.You may find it useful to first devise a formula for the amount remaining after n months.Enter your answer, to the nearest integer and without units, in the box below.

The value of a certain investment over time is given in the table below. Answer the questions below to determine what kind of function would best fit the data, linear or exponential.Number of Years Since Investment Made, x1234Value of Investment ($), f(x)13,215.5515,826.8519,183.1022,951.00AnswerAttempt 1 out of 2 function would best fit the data because as x increases, the y values change . The of this function is approximately .

Last year Katie invested money in two accounts. The first account had an interest rate of 4%4% and the second account had an interest rate of 5%5%. If she invested $100$⁢100 more in the first account than the second and her total interest income was $616$⁢616, how much did she invest at each rate?Step 2 of 3 :  Use the table from part 1 to help write a linear equation that represents the given word problem. (Use x to represent the unknown quantity.) Do not simplify your answer.