The median is the one in the middle. Sorting the data gives
$1.61, $1.75, $1.79, $1.84, $1.96, $2.09, $2.11
Seven data points and the fourth one is 1.84.
Answer: $1.84
Amount owed at the end of 1 year is 3640
<h3><u>Solution:</u></h3>
Given that yoko borrows $3500.
Rate of interest charged is 4% compounded each year
Need to determine amount owed at the end of 1 year.
In our case
:
Borrowed Amount that is principal P = $3500
Rate of interest r = 4%
Duration = 1 year and as it is compounded yearly, number of times interest calculated in 1 year n = 1
<em><u>Formula for Amount of compounded yearly is as follows:</u></em>

Where "p" is the principal
"r" is the rate of interest
"n" is the number of years
Substituting the values in above formula we get


Hence amount owed at the end of 1 year is 3640
Answer: x+2 / x+ 9, x = -2, x=-9 ( A )
Solution:
Breakdown the problem into two sets
Step 1: simplify x^2 -10x - 24
Factorize the above equation,
Multiply the last term (24) with the first term coefficient i.e. 1
Step 2: Then, find the factors of 24 in a way that when you add or subtract it sums up to 10
x2 - 12x + 2x - 24 >>>> (x2-12x) + (2x-24) >>> take common
>>>> x(x-12) + 2( x-12)
Step 3: (x + 2) (x - 12)
Step 4: Step 1: simplify x^2 - 3x - 108 using the same steps
x2 - 12x + 9x - 108 >>>> take common x(x-12) + 9 ( x -12) >>>
(x + 9) (x - 12) final product
Now, Simplify the equation as a whole
(x + 2) (x - 12) / (x + 9) (x - 12) Note: (x - 12) cancels out
= (x + 2) / (x + 9) with x= -2 and x= -9
Answer: The correct option is D, i.e., 15 units.
Explanation:
It is given that the length of segment TR can be represented by 5x-4.
From figure it is noticed that the side TR and RV is equal and the length of segment RV is 2x+5. So,



The value of x is 3, so the length of side RV is,

In triangle TRS and angle VRS,
TR=VR

RS=RS (common side)
By SAS rule of congruence triangle,

Therefore the side TS and VS are congruent sides.
From figure it is noticed that the length of side TS is 6x-3, therefore the length of side VS is also 6x-3.

Hence, the length of side VS is 15 units and option D is correct.
Answer:x>7
Step-by-step explanation:
1. 6x>42
2. 6x/6>42/6
3. x>7