The city treasury began with $1,100,000 at the beginning of the year. Each day since tax revenues have come in at a rate of 12,500 per day. Expenditures each day average 15,000 per day. The treasury now has less than1,000,000. How many days d has it been since the beginning of the year?
Net daily change is revenue - expenditures, 12500 - 15000 = -2500.
The overall change in the treasury's funds is 1.1Mil - 1Mil = 100K. To find out how many days, we divide the overall change by the net daily change in revenue: 100K / 2500 = 40 days.
in week 1 boris works 30 hours and earn r dollars per hour in week 2 boris gets a raise of 2.75 per hour he works 32 hours at this new rate during he two weeks he earns a total of 723.50 what was his original rate per hour
To find the number of days since the beginning of the year, we can use the information given about tax revenues and expenditures.
Let's assume the number of days since the beginning of the year is represented by 'd'.
Starting treasury balance = $1,100,000
Tax revenues per day = $12,500
Expenditures per day = $15,000
The treasury balance decreases by $2,500 per day (15,000 - 12,500 = 2,500).
To find 'd', we need to calculate the net decrease in the treasury balance:
Net decrease = Starting balance - Current balance
Net decrease = $1,100,000 - $1,000,000
Net decrease = $100,000
The net decrease is equal to $2,500 multiplied by the number of days (d).
$100,000 = $2,500 * d
Dividing both sides by $2,500:
100,000 / 2,500 = d
40 = d
So, it has been 40 days since the beginning of the year.
To find out the number of days d since the beginning of the year, we can set up an equation based on the given information.
Let's break down the information we have:
- The city treasury started with $1,100,000 at the beginning of the year.
- Tax revenues come in at a rate of $12,500 per day.
- Expenditures average $15,000 per day.
- The treasury now has less than $1,000,000.
To calculate the number of days, we'll need to determine the difference between the tax revenues and expenditures each day and then see how many days it would take for the treasury to decrease below $1,000,000.
First, we'll calculate the daily difference between tax revenues and expenditures:
Daily difference = Tax revenues - Expenditures
Daily difference = $12,500 - $15,000
Daily difference = -$2,500
Since the daily difference is negative (-$2,500), the treasury is decreasing by $2,500 per day.
Next, we'll calculate the number of days needed for the treasury to decrease from $1,100,000 to less than $1,000,000:
$1,100,000 - ($2,500 × d) < $1,000,000
Simplifying the inequality:
$1,100,000 - $2,500d < $1,000,000
To find the value of d, the number of days, we can isolate d by rearranging the equation:
$2,500d > $1,100,000 - $1,000,000
$2,500d > $100,000
d > $100,000 ÷ $2,500
d > 40
Therefore, it has been more than 40 days since the beginning of the year for the treasury to have decreased to less than $1,000,000.