Suppose you invest 1600 at annual interest rate of 7.9% compounded cont how much will u have after 10yrs 35254.34 3525.43 3435.91 17315.27

B. $3525.43

Step-by-step explanation:  

We will use continuously compound interest formula to solve our problem.

A= Amount after T years.

P= Principal amount.

r= Interest rate (in decimal form).

e= The mathematical constant e.

T= Time in years.

First of all we will convert our interest rate in decimal form.

Now let us substitute our given values in above formula.

Therefore, we will get an amount of $3525.43 after 10 years and option B is the correct choice.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.