in june cory begins to save money for a video game and a tv he wants to buy in december. He starts with $22. each month he plans to save 10% more than the previous month how much money will he have at the end of december
To find how much money Cory will have at the end of December, we need to calculate how much money he will save each month and add it all up.
In June, he starts with $22.
In July, he plans to save 10% more than in June, which is:
10% of $22 = $2.20
$22 + $2.20 = $24.20
In August, he plans to save 10% more than in July, which is:
10% of $24.20 = $2.42
$24.20 + $2.42 = $26.62
In September, he plans to save 10% more than in August, which is:
10% of $26.62 = $2.66
$26.62 + $2.66 = $29.28
In October, he plans to save 10% more than in September, which is:
10% of $29.28 = $2.93
$29.28 + $2.93 = $32.21
In November, he plans to save 10% more than in October, which is:
10% of $32.21 = $3.22
$32.21 + $3.22 = $35.43
Finally, in December he will have saved:
$35.43 + 10% of $35.43 = $38.97
So at the end of December, Cory will have $38.97 saved for his video game and TV.
but the options are 186.72, 208.72, 188.56, 204.56
I'm sorry about that. Let's try to recalculate it.
In June, Cory starts with $22.
In July, he will save 10% more than June, which is:
10% of $22 = $2.20 more than $22 = $24.20
In August, he will save 10% more than July, which is:
10% of $24.20 = $2.42 more than $24.20 = $26.62
In September, he will save 10% more than August, which is:
10% of $26.62 = $2.66 more than $26.62 = $29.28
In October, he will save 10% more than September, which is:
10% of $29.28 = $2.93 more than $29.28 = $32.21
In November, he will save 10% more than October, which is:
10% of $32.21 = $3.22 more than $32.21 = $35.43
Finally, in December, he will have saved 10% more than November, which is:
10% of $35.43 = $3.54 more than $35.43 = $38.97
Therefore, at the end of December, Cory will have $38.97 saved for his video game and TV.
The answer that fits best among the given options is $188.56. However, this doesn't seem to match our calculation.
To find out how much money Cory will have at the end of December, we need to calculate his monthly savings and add them up.
Cory starts with $22 in June. Let's calculate his monthly savings using the given condition that he plans to save 10% more than the previous month.
In July, Cory will save 10% more than he did in June. To calculate this, we multiply his savings in June by 1.1 (100% + 10%).
Savings in July = $22 * 1.1 = $24.20
In August, Cory will save 10% more than in July.
Savings in August = $24.20 * 1.1 = $26.62
Note that each month, the savings increase by 10% from the previous month's savings. So, we can continue this pattern until December.
Here is a breakdown of the savings for each month:
June: $22
July: $22 * 1.1 = $24.20
August: $24.20 * 1.1 = $26.62
September: $26.62 * 1.1 = $29.28
October: $29.28 * 1.1 = $32.21
November: $32.21 * 1.1 = $35.43
December: $35.43 * 1.1 = $39.00
To calculate the total amount Cory will have by the end of December, we need to add up the savings for each month:
Total savings = $22 + $24.20 + $26.62 + $29.28 + $32.21 + $35.43 + $39.00 = $208.74
Therefore, Cory will have $208.74 at the end of December.