Answer:
C. $97
Step-by-step explanation:
The average of his wage for all 15 days is the sum of all wages for the 15 days divided by 15.
average wage for 15 days = (sum of wages for the 15 days)/15
The amount of wages during a number of days is the product of the average wage of those days and the number of days.
First 7 days:
average wage: $87
number of days: 7
total wages in first 7 days = 7 * $87/day = $609
Last 7 days:
average wage: $92
number of days: 7
total wages in last 7 days = 7 * $92/day = $644
8th day:
wages of the 8th day is unknown, so we let x = wages of the 8th day
total wages of 15 days = (wages of first 7 days) + (wages of 8th day) + (wages of last 7 days)
total wages of 15 days = 609 + x + 644 = x + 1253
average wage for 15 days = (sum of wages for the 15 days)/15
average wage for 15 days = (x + 1253)/15
We are told the average for the 15 days is $90/day.
(x + 1253)/15 = 90
Multiply both sides by 15.
x + 1253 = 1350
Subtract 1253 from both sides.
x = 97
Answer: $97
I think it’s A but I’m not sure
The correct statement about the data collected by Ms. Pearson is that there is no association between a student's absences and the final average grades.
<h3>When do variables have a linear relationship?</h3>
The equation that represents a linear relationship is: a + bx
Where x represents the rate of increase. Thus, for linear equations, the functiion increases by a constant term.
Looking at the table, the average final grade does not increase by a constant term.
To learn more about linear functions, please check: brainly.com/question/26434260
Answer:
In the 6% account, 13,000 was deposited
In the 10% account, 20,000 was deposited
Step-by-step explanation:
Here, we are interested in calculating how much invested in each account
.
Let the amount invested be $x and $y
Mathematically;
x + y = 33,000 ••••(i)
Now let’s work with interest
6% of x + 10% of y = 2780
6/100 * x + 10/100 * y = 2780
Multiply through by 100
6x + 10y = 278000 •••••••••(ii)
From i, x = 33,000 -y
Put this into ii
6(33,000 -y) + 10y = 278000
198,000-6y + 10y = 278000
4y = 80000
y = 80,000/4 = 20,000
But x = 33,000 -y = 33,000 -20,000 = 13,000
30 with the remainder of 714
