Answer:
10 ball caps
Step-by-step explanation:
In this question, we are trying to know the number of caps the manger would buy that would equate the cost at both companies.
How do we get this?
Since we do not know the number of caps, let’s assign a variable. Let the number of caps that is required be x. Let’s now make some costings in terms of x. We proceed;
Company X charges $50 fee plus $7 per cap. Total amount company X will charge on x caps will be; $50 + $7(x) = $50 + $7x
Company Y will charge $30 plus $9 per cap. Total amount company Y will charge on x caps will be $30 + $9(x) = $30 + $9x
We are trying to look at the value of x that will make both costs equal. What we do is to equate both costs.
30 + 9x = 50 + 7x
We simply by taking like terms to the same sides
9x-7x = 50-30
2x = 20
x = 20/2 = 10
X = 10
So what this means is that manger has to buy 10 caps to have the same cost in both companies
Answer:
47.856
Step-by-step explanation:
We will use
SOH
CAH
TOA
to solve this
we have the adjacent length, but need the hypotonouse
which means that we will use CAH
we have
cos(43)= 35/p
solve for p
47.856
Answer:
143 degrees
Step-by-step explanation:
First find angle ACB which is 180-83=97
Then angle ABC which is 180-134=46
Then angle CAB (97+46)-180=37
Finally angle HAB 180-37=143
Answer:
The residual value is -1.8 when x = 3
Step-by-step explanation:
We are given the following table
x | y
0 | -3
2 | -1
3 | -1
5 | 5
6 | 6
Residual value:
A residual value basically shows the position of a data point with respect to the line of best fit.
The residual value is calculated as,
Residual value = Observed value - Predicted value
Where observed values are already given in the question and the predicted values are calculated by using the equation of line of best fit.
When we substitute x = 3 in the above equation then we would get the predicted value.
So the predicted value is 0.8
From the given table, the observed value corresponding to x = 3 is -1
So the residual value is,
Residual value = Observed value - Predicted value
Residual value = -1 - 0.8
Residual value = -1.8
Therefore, the residual value is -1.8 when x = 3
Note: A residual value closer to 0 is desired which means that the regression line best fits the data.
Okay. So the formula for the amount of time is I / Pr, meaning you multiply the principal and the rate in decimal form together, and you divide the amount of interest by that number. The formula for finding the interest rate is I / Pt, meaning you multiply the principal and time, and the you divide the amount of interest by that number. With a decimal, be sure to multiply by 100 to get the whole percentage. With that being said, if you solve this correctly, here are your answers.
Principal: $6,631
Interest Rate: 8.05%
Time: 33 months
Simple Interest: $1,467.94
Principal: $884,706
Interest Rate: 5.42%
Time: 40 months
Simple Interest: $159,931
Note: For times in months, you'll have to do some conversion into decimals, but you know that 12 months equal 1 year, so you can divide the time period by 12. For the second part, I happened to get 5.43% when I worked it out, but a calculator happened to round off to 5.42%, so it's a bit confusing, but those are the answers.
