You use the definition of median and interquartile range. The def. of a median is the number in the middle of the data set, so the number 6 would be in the middle. Making a box and whisker plot(shown below) with the data set separates the data set into 4 "quartiles" or parts. The interquartile range is the last line in the box(Q3) minus the first line in the box(Q1). So something minus somthing must equal 5.
Data set: 1,2,3,6,8,8,10
It doesn't matter what the other numbers are as long as the median is 6 and the interquartiel range is 6.
You would make approximate $42.50 each day. In two weeks you would make $595
Triangle OPQ is shown below with line RS passing through points R and S:
Triangle OPQ is shown with point R lying on side OP and point S lying on side OQ Line RS is perpendicular to side OQ.
If triangle OPQ is dilated about the center of the triangle to create triangle O'P'Q', what can you conclude about segments RS and R'S'? (6 points)
Segment O'Q' is perpendicular to segment R'S'. Line RS is parallel to line R'S'. Line RS is perpendicular to line R'S'. Point P' passes through line RS.
Answer:
Step-by-step explanation:
Use the basic simple interest formula:
P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:
P * r * t = I
Acct 1
Acct 2
If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other. We will fill those in along with the interest rates in decimal form and the time of 1 year:
P * r * t = I
Acct 1 x .04 1
Acct 2 1500-x .05 1
Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:
P * r * t - I
Acct 1 x .04 1 .04x
Acct 2 1500-x .05 1 .05(1500-x)
The total Interest earned by the addition of the interest earned from both accounts is 69.50. So we add the interest column together and set it equal to 69.50:
.04x + .05(1500 - x) = 69.50 and
.04x + 75 - .05x = 69.50 and
-.01x = -5.5 so
x = 550
That's how much money is in the account earning 4% interest.
