Can you do this in desmos graphing please. For question a) I need the equation a

Question

Can you do this in desmos graphing please. For question a) I need the equation and what interests is this account getting and for question b) I need a evidence such as an intersection with the point. So there are questions, you can see from the image , for a and Editing draw 3) Extra credit: the amounts shown in the table below represent the amount that was in the account on January 1 of each year shown and that the interest on the account was compounded quarterly. Suppose you deposited money into an account on January 1, 2010. Also, suppose that Year 2010 2011 2012 2013 2014 2015 Amount (in S) 5,000 5,177.31 5,360.91 5,551.02 5,725.12 5,951.70 a) Let x 0 stand for the year 2010, and use your graphing calculator to find an exponential model which fits the data shown in the table. Write the equation of your model below. What interest rate is this account getting? If using Desmos, watch the video https://www.youtube.com/watch?v-O-hx713TkEg if you need help. b) How many years will it take for the account to contain $7,500? (Show graphing calculator evidence, on with the point clearly labeled or a calculator-generated table value.)

Explanation / Answer

18) balance in accout = $ 3200

time = 3 years

rate of interest = 6%

applying compounded quarterly formula

A = P ( 1+r/n )^ nt

n = 4 for quarterly

plugging the values in the formula and solving

A = 3200 ( 1 + .06/4)^4*3

A = $ 3825.98

19) amount invested = $ 1000

rate of interest = 6%

time = 1 yr

simple interest : P*R*T = 1000*.06*1 = 60

hence, amout would be 1000+60 = $ 1060

b) compounded quarterly

A = 1000 ( 1+ .06/4)^4 = $1061.36

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