We have been given that Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Also, she donates $2 to clean water projects per tax return she files.
Further we know that Sterre charged $7,245 and made a donation of $1,242 this year for the tax returns she filed.
Let x be the number of free income tax returns and y be the number of $35 income tax returns.
Therefore, we can set up:
Since she donates $2 for each return that she files, therefore, we can set up:
Therefore,
Sterre filed 414 tax returns for free and filed 207 tax returns for $35.
Answer:
(B)1005 feet
Step-by-step explanation:
In the attached diagram
|AG|=1400 feet
Distance from point C to point G=|CG|
Using Trigonometry in Triangle ACG
Using Trigonometry in Triangle BCG'
Therefore, the distance from balloon B from balloon A
=CG+CG'
=808+197
=1005 feet
Answer: 8:05 pm
Step-by-step explanation: 4 hours + 3 hours = 7 hours
50 min + 15 min = 1 hour, 5 min
add those together
watch out for time zones when crossing
Answer:
- $85,000 at 6.25%
- $65,000 at 6.00%
Step-by-step explanation:
Let x represent the amount invested at 6.25%. Then the total interest earned is ...
0.0625x + 0.0600(150,000 -x) = 9212.50
0.0025x = 212.50 . . . . . . subtract 9000, collect terms
x = 212.50/0.0025 = 85,000
150,000 - 85,000 = 65,000 . . . . amount invested at the lower rate
$85,000 is invested at 6.25%; $65,000 is invested at 6%.
