CPhill

An exponential function will have a real number with a variable exponent.....

Which one of these has a real number with a variable as an exponent, NSS???

Well....I do what I can.....THX!!!!

This is known as "continuous compounding".......we have

2500 * e^(.05 * 6 )   =  $3374.65

1) Exponential form is :

 0.8^4   = 0.4096

2) This says that     5^y  = 125   

Note 125   = 5^3

So.... 5^y = 5^3      implies that y = 3

3) y = log (3x + 4) +2

To find the y intercept, set x = 0   and we have

y = log (3(0) + 4) + 2

y =  log(4) + 2  ≈  2.60

To find the x intercept, set y = 0   and we have

0 =log (3x + 4)  + 2       subtract 2 from both sides

-2 = log (3x + 4)

In exponential form, we have

10^(-2)  = 3x + 4        subtract 4 from both sides

10^(-2) - 4  = 3x         divide both sides by 3

[ 10^(-2) - 4 ] / 3  = x  =  -1.33

10% of 36000 =  $3600

So....we are investing $3600 at 6.25% compounded quarterly for 15 years

[ Quarterly is 4 times per year....so....  n = 4 ]

So we have

3600 * ( 1 + .0625 / 4 )^(4 * 15)   =  $ 9126.53

10% of 36000   

Can you finish this, NSS  ??

10%  x  $1470   =  $147

So....we are investing $147  at 3.5%  compounded monthly for 25 years

So we have

147  * ( 1 + .035 / 12)^ (12 * 25)   ≈  $352.19

Very nice, heureka  !!!!

Thanks, Synth.....!!!

And welcome, White Rose....!!!

Take 10%  of $1470, NSS