To solve this problem, we can start by calculating how much Cory will save each month:
- In June, he saves 10% of $22, which is $2.20. So he now has $24.20.
- In July, he saves 10% more than in June, which is 10% of $24.20 (or $2.42). So he now has $26.62.
- In August, he saves 10% more than in July, which is 10% of $26.62 (or $2.66). So he now has $29.28.
- And so on, until December.
We can use a table to keep track of how much he saves each month:
| Month | Starting amount | Percentage | Amount saved | Ending amount |
|-------|----------------|------------|--------------|---------------|
| June | $22.00 | 10% | $2.20 | $24.20 |
| July | $24.20 | 20% | $2.42 | $26.62 |
| August | $26.62 | 30% | $2.66 | $29.28 |
| September | $29.28 | 40% | $2.93 | $32.21 |
| October | $32.21 | 50% | $3.22 | $35.43 |
| November | $35.43 | 60% | $3.54 | $39.97 |
| December | $39.97 | 70% | $4.00 | $43.97 |
So at the end of December, Cory will have $43.97 saved up.
In June, Cory beings 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?
3 answers
are you sure
Yes, I'm sure. Here's the calculation to show how we arrived at this amount:
- Start with $22 in June.
- In June, he saves $2.20, so he has $24.20 in July.
- In July, he saves $2.42, so he has $26.62 in August.
- In August, he saves $2.66, so he has $29.28 in September.
- In September, he saves $2.93, so he has $32.21 in October.
- In October, he saves $3.22, so he has $35.43 in November.
- In November, he saves $3.54, so he has $39.97 in December.
- In December, he saves $4.00, so his final total is $43.97.
Therefore, Cory will have $43.97 saved up at the end of December.
- Start with $22 in June.
- In June, he saves $2.20, so he has $24.20 in July.
- In July, he saves $2.42, so he has $26.62 in August.
- In August, he saves $2.66, so he has $29.28 in September.
- In September, he saves $2.93, so he has $32.21 in October.
- In October, he saves $3.22, so he has $35.43 in November.
- In November, he saves $3.54, so he has $39.97 in December.
- In December, he saves $4.00, so his final total is $43.97.
Therefore, Cory will have $43.97 saved up at the end of December.