Answer:
x = 2, y = 3
Step-by-step explanation:
x - 3y = - 7 → (1)
x = 5 - y → (2)
Substitute x = 5 - y into (1)
5 - y - 3y = - 7
5 - 4y = - 7 ( subtract 5 from both sides )
- 4y = - 12 ( divide both sides by - 4 )
y = 3
Substitute y = 3 into (2)
x = 5 - 3 = 2
solution is (2, 3 )
Using simple interest, it is found that $13,872 was loaned at 9%.
<h3>Simple Interest</h3>
The amount of money after t years in simple interest is modeled by:
In which:
- r is the interest rate, as a decimal.
The interest earned is:
A bank loaned out $14000, in two parts, hence:
Part of it at the rate of 9% per year and the rest at 17% per year, hence:
The interest received in one year totaled $2000, hence:
Then:
Isolating as a function of , then we can replace on the equation for the first interest.
Then:
$13,872 was loaned at 9%.
To learn more about simple interest, you can take a look at brainly.com/question/25296782
Answer:
4.25
Step-by-step explanation:
Here in this question, we want to calculate the mean absolute deviation of the data.
The first thing we will do here is to calculate the mean;
= (74 + 79 + 76 + 85 + 87 + 83 + 86 + 78)/8 = 81
Now, the next thing to do here is to calculate how far each of the values have deviated from the mean. This can be calculated by subtracting the mean from each individual value;
This is presented in the table on the attachment, please check attachment for this
Afterwards, we find the absolute value of all these subtractions then divide by 8 which is the number of values in the data.
Mean absolute deviation = Sum of all absolute deviations/number of values in dataset