If $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdra
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2 numbers can be represented by the variables x and y.
Set up a system of equations:
The two numbers added together will result in a sum of 33. However, one number subtracted from another will result in a difference of 1.
In both systems of equations, there are inverses of variable y. Therefore, we can combine the systems of equations by adding them together:
Divide both sides by 2 to get x by itself:
One of the numbers will be 17.
Plug the value into one of the equations:
Add y to both sides:
Subtract both sides by 1 to get y by itself:
The two numbers that sum up to 33, with a difference of 1 between them, will be 16 and 17.
Answer:
a) Mean
b) Ian earned higher wages than Danny during the days listed
Step-by-step explanation:
Ian and Danny work for a construction company. The table shows their daily wages (in dollars) for a week picked randomly from the calendar year. Ians Wages ()DannysWages() 96 153 120 89 114 91 111 96 106 129 123 94 110 99 The best way to compare Ians and Danny's wages is by using the ______ as the measure of center. Comparing this measure of center of the two data sets indicates that ______ generally earned higher wages during the days listed.
a) The mean also known as average is one of the most common used measure of center of the data. To calculate the mean, you sum all the data and then divide the total sum by the total number of data values.
b) For Ian's wages, the mean (μ) is calculated as:
The mean of Ians wages is $111.43
For Danny's wages, the mean (μ) is calculated as:
The mean of Danny's wages is $107.29
From the two data sets, Ian earned higher wages than Danny during the days listed