Answer:
The amount into account after a year is $1042
Explanation:
Given as :
The principal amount into the account = p = $1000
The amount is growing at the rate = r = 4.2 % per year
Let The Amount into account after 1 year = $A
So, According to question
The amount into account after 1 year = The principal amount ×
![(1+(\textrm rate)/(100))^(\textrm time)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8vyvx45u1j0hhdziyk2l5d1e1b8uz8wocs.png)
Or, A = p ×
![(1+(\textrm r)/(100))^(\textrm 1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1e69mhd8zxt8gpevn95gx1kvu7oqh83p3u.png)
Or, A = $1000 ×
![(1+(\textrm 4.2)/(100))^(\textrm 1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/o5rkgsrqa4cjis8xgp2o8gw1g610pdewur.png)
Or, A = $1000 × 1.042
Or, A = $1042
So, The amount into account after a year = A = $1042
Hence,The amount into account after a year is $1042 . Answer