4 buses and 167 students
1 bus just 7 students
4x7 = 28
28 students are on 4 buses
167- 28 = 138
138 students had travel in cars
M=-4
The number with x is always going to be the slope
Y-intecept=9
I got 26.43. I'm not sure if it is completely correct though
Answer: less than 25%
Step-by-step explanation:
The box plot can be read as follows:
The first black dot is the minimum value.
The first half of the rectangle is the lower quartile.
The line that separates the two rectangles is the median.
The second half of the rectangle is the upper quartile
The final point is the maximum.
Knowing that each quartile represents about the 25% of the elements for the set, we can see that both lower and upper quartile (and the 25% of the elements that come after the upper quartile) cost more than $45.
Then we know that at least the (25% + 25% + 25%) = 75% of the cards in the collection cost more than $45.
And we also have elements that are not in the lower quartile that cost more than $45, but we can not determine the percentage that they represent.
So we can only conclude that more than the 75% of the collection costs more than $45.
Now we want to know the percentage of the baseball cards valued at less than $45.
So if more than 75% is valued at more than $45.
Then less than 25% is valued at less than $25.
9514 1404 393
Answer:
14.3%
Step-by-step explanation:
We assume this question is asking for the annual interest rate for an amortized loan that would produce the same total repayment amount as if 8% simple interest were added to the $4900 loan amount. There is no formula for that, but there are a number of apps and spreadsheets that can calculate it. In the attached, we have use a graphing calculator.
The APR is about 14.3%.
_____
The amount to be repaid is calculated using the simple interest formula:
A = P(1 +rt) = $4900(1 +0.08·4) = $6468
Then the required monthly payment (for 48 months) is ...
$6468/48 = $134.75
__
The payment amount for a 48-payment loan at rate r on a principal of $4900 will be ...
A = 4900(r/12)/(1 -(1 +r/12)^-48)
In the attachment, we show the value of r (in percent) that would make the payment amount A be $134.75. We have done this by casting the problem in the form f(r) = 0 and looking for the x-intercept of f(r).
_____
<em>Additional comment</em>
The second attachment uses a spreadsheet for the same purpose. Here, we have used Go.ogle Sheets with a "Goal Seek" add-on to adjust the value in cell B5 so that the computed payment on the loan (cell B6) is the same as the value we calculated in cell B4.
We found the graphing calculator solution to be much quicker, though in that case we actually had to know the formula to use to calculate the payment. The payment formula is built into the spreadsheet.