Answer:
$ 68
Step-by-step explanation:
Let original value of a single share to be $ x
For 17 shares, total value of shares will be $17x
After a decrease of $4 per share, new value of a share will be $ x-4
For 17 shares, total value of shares after decrease will be $ 17(x-4) = 17x-68
Total change in the value of her stock will be ; value of shares before decrease-value of shares after decrease
= 17x-(17x-68)
=17x-17x+68
=68
Answer:
30
Step-by-step explanation:
Step 1: Find the area of the whole figure
The whole figure is a rectangle with a width of 4cm and a length of 12cm
The area of a rectangle can simply be calculated by multiplying the width by the length
So area = 4 * 12 which = 48
So the area of the whole figure is 48cm²
Step 2: Find the area of the non shaded area
The non shaded area forms a triangle with a base length of 9cm and a height of 4cm
The area of a triangle can be calculated using this formula
where b = base length and h = height
That being said we plug in the values into the formula
Hence the area of the non shaded region is 18cm²
Final step: Our last step is to subtract the area of the non shaded region by the area of the whole figure
so the answer = 48 - 18 which equals 30
Hence the area of the shaded region is 30 square centimeters.
Given :
A one-year membership to a gym costs $725.
The registration fee is $125.
To Find :
How much new members pay each month.
Solution :
Remaining fee = Total fee - Registration fee
R = $( 725 - 125 )
R = $600
Amount of fee paid monthly is :
Therefore, monthly fee is $50.
Hence, this is the required solution.
<em><u>The slope of HI is 1/2
</u></em>
<em><u>
The slope of EF is 1/2</u></em>
<em><u>Solution:</u></em>
Given that,
Triangle DEF is congruent to right triangle GHI
Which means,
These pairs of angles are congruent
{D, G}, {E, H}, and {F, I}
In triangle DEF, E is a right angle
This means that the line segments are perpendicular.
We know that,
Product of slope of a line and slope of line perpendicular to that line is equal to -1
Given that,
Slope of DE = -2
Since the sides EF and HI are congruent,
Slopes of parallel lines are equal
Thus, Slope of HI is 1/2