A savings account earns 2.7% yearly interest. Which equation shows how many years, t, it will take for the account to double?

1.027t = 2

Step-by-step explanation:

Given that :

Saving account earns 2.7% interest yearly

The number it will take for the account to double

Let

Number of years = t

Interest earned yearly = 2.7% = 0.027

Amount = p(1 + rt)

Where P = principal

R = rate ; t = time in years, A = final amount

If p = 1 ;

For account to double,

Final amount = 2 * principal (p)

final amount = 2 * 1 = 2 ; hence, Final amount = 2

2 = 1(1 + 0.027t)

2 = 1 + 0.027t

2 = 1.027t

x = 23.78

step-by-step explanation:

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.