greta deposited $3,812 in an account earning 10% interest compounded annually. to the nearest cent, how much…

greta deposited $3,812 in an account earning 10% interest compounded annually. to the nearest cent, how much will she have in 1 year? use the formula $b = p(1 + r)^t$, where $b$ is the balance (final amount), $p$ is the principal (starting amount), $r$ is the interest rate expressed as a decimal, and $t$ is the time in years.

greta deposited $3,812 in an account earning 10% interest compounded annually. to the nearest cent, how much will she have in 1 year? use the formula $b = p(1 + r)^t$, where $b$ is the balance (final amount), $p$ is the principal (starting amount), $r$ is the interest rate expressed as a decimal, and $t$ is the time in years.

Answer

Answer:

$4193.20

Explanation:

Step1: Identify values

$p = 3812$, $r=0.1$, $t = 1$

Step2: Substitute into formula

$B=p(1 + r)^t=3812\times(1 + 0.1)^1$

Step3: Calculate result

$B=3812\times1.1 = 4193.2$ Rounding to the nearest cent gives $4193.20$.