p +d = 74 coins
rewrite as p =74-d
0.01p + 0.10d = 4.61
0.01(74-d) +0.10d = 4.61
0.74 - 0.01d +0.10d =4.61
0.74 +0.09d =4.61
0.09d = 3.87
d = 3.87/.09 = 43
p = 74-43 = 31
43 dimes and 31 pennies
Answer:You would have to use over 200 minutes in a month in order for the second plan to be preferable.
Step-by-step explanation:
Let x represent the number of minutes that you use in a month.
The first plan charges a rate of 25 cents per minute. It means that the cost of using x minutes in a month with this plan is 0.25x.
The second plan charges a monthly fee of $29.95 in addition to 10 cents per minute. It means that the cost of using x minutes in a month with this plan is
29.95 + 0.1x
For the second plan to be preferable, its cost would be lesser than the first plan. Therefore,
29.95 + 0.1x < 0.25x
29.95 < 0.25x - 0.1x
29.95 < 0.15x
0.15x > 29.95
x > 29.95/0.15
x > 200
Answer:
20 mins.
Step-by-step explanation:
A babysitter charges a rate of $15 per hour. How long was the babysitter there if she makes $5?
x = hours she babysat
Equation:
15x = 5
Divide to isolate x:
15x = 5
/15 /15
x = 1/3 hrs.
Now, we convert into minutes, since she didn't work for a whole hour, to earn the $15
We know that there are 60 mins. in an hour
60 * 1/3
60/3
20 mins.
Therefore, the babysitter was there for 20 mins.
Hope this helps!
Answer and explanation:
Given : The demand for a product for the last six years has been 15, 15, 17, 18, 20, and 19. The manager wants to predict the demand for this time series using the following simple linear trend equation : 
To find : What are the forecast errors for the 5th and 6th years?
Solution :
Data : 15, 15, 17, 18, 20, and 19.
The simple linear trend equation is given as,
For t = 5 years
Observed 
Predicted
Forecast error = Observed – Predicted = 20 – 22 = -2
Absolute forecast error = |-2| = 2
.
For t = 6 years
Observed 
Predicted
Forecast error = Observed – Predicted = 19 – 24 = -5
Absolute forecast error = |-5| = 5.
