MHB Therefore, the additional cost for extending the insurance by 1 day is $32.

  • Thread starter Thread starter 816318
  • Start date Start date
  • Tags Tags
    Per
AI Thread Summary
Triangle Construction pays Square Insurance $5,980 to insure a construction site for 92 days, resulting in a daily cost of $65. If Triangle extends the insurance for one additional day, the cost is $97. The difference in cost for that extra day compared to the average daily rate during the initial period is $32. This calculation highlights the increased expense of extending the insurance beyond the original agreement. Understanding these costs is crucial for budgeting in construction projects.
816318
Messages
14
Reaction score
0
Triangle Construction pays Square Insurance 5980 dollars to insure a construction site for 92 days. To extend the insurance beyond the 92 days costs $97 per day. At the end of this period, if Triangle extends the insurance by 1 day, how much more does Triangle pay for that day than it paid per day during the first period of time?

Can someone show me how set up to get the answer 32?
 
Mathematics news on Phys.org
I've edited the title of your thread to indicate the nature of the question being asked.

To find the cost per day for the first 92 days, which we'll call$C_1$, we need to take the total cost and divide by the total number of days.:

$$C_1=\frac{5980\text{ dollars}}{92\text{ days}}=65\,\frac{\text{dollars}}{\text{day}}$$

Now, to find how much more that 1 additional day costs, we find the difference $D$ between the cost for that additional day and the average cost for the first 92 days:

$$D=\left(97-65\right)\,\frac{\text{dollars}}{\text{day}}=32\,\frac{\text{dollars}}{\text{day}}$$
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
Back
Top