A bank is offering you an introductory credit card promotion. Your interest for the first year is 8%. But, at the beginning of the 2nd year your interest rate will go up to 23%. If you have an $1,800 balance on your card throughout both years, what will be the difference in the monthly interest owed during year 1 and year 2?

Respuesta :

Answer:

[tex]\$22.5[/tex]

Step-by-step explanation:

GIVEN: A bank is offering you an introductory credit card promotion. Your interest for the first year is [tex]8\%[/tex]. But, at the beginning of the [tex]2[/tex]nd year your interest rate will go up to [tex]23\%[/tex]. If you have an [tex]\$1,800[/tex] balance on your card throughout both years.

TO FIND: difference in the monthly interest owed during year [tex]1[/tex] and year [tex]2[/tex].

SOLUTION:

rate of interest for first year [tex]=8\%[/tex]

total amount on card [tex]=\$1800[/tex]

interest earned in first year [tex]=\frac{\text{Principal}\times\text{rate}\times\text{time}}{100}[/tex]

                                             [tex]=\frac{1800\times8\times1}{100}[/tex]

                                             [tex]=\$144[/tex]

monthly interest owed [tex]=\frac{\$144}{12}=\$12[/tex]

rate of interest for first year [tex]=23\%[/tex]

total amount on card [tex]=\$1800[/tex]

interest earned in first year [tex]=\frac{\text{Principal}\times\text{rate}\times\text{time}}{100}[/tex]

                                             [tex]=\frac{1800\times23\times1}{100}[/tex]

                                             [tex]=\$414[/tex]

monthly interest owed [tex]=\frac{\$414}{12}=\$34.5[/tex]

Difference in monthly interest owed during year [tex]1[/tex] and year [tex]2[/tex] [tex]=34.5-12=\$22.5[/tex]

Answer: the amount would be $22.50

Step-by-step explanation: trust me