Answer:
(3, -1)
Step-by-step explanation:
Answer:
WXYZ can not be a rectangle because consecutive sides are not perpendicular to each other.
Step-by-step explanation:
The given vertices are W(-4,3), X(1,5), Y(3,1) and Z(-2,-1).
Plot these points on coordinate plane and draw the quadrilateral as shown below.
Using this formula, we get
Now,
Here, WX and XY are two consecutive sides of quadrilateral but the product of their slopes is not equal to -1. It means they are not perpendicular to each other.
Since, all interior angles of a rectangle are right angles, therefore, WXYZ can not be a rectangle.
Answer:
22cm
Step-by-step explanation:
440÷20
Answer: See Below
Step-by-step explanation:
Create the equation:
$34 times the number of people plus the $50 cleaning fee has to be less than or equal to $3500
Or
34p + 50 <= 3500
34p <= 3450
p <= 101.470588....
We can have a part of a person attending the reception so we have to drop the remainder/decimal. Therefore the most amount of people that can attend the party and stay within budget is 101.
Given the two options above, in order to come up with the best plan we have to calculate the future value of money in each plan.
compound interest is given by:

Option 1
p=$500
r=2%=0.02
t=1 year

Option 2
p=$500
r=2/12=1/6
n=1*12=12
hence:

=$509.09
Comparing the two plans above, option 1 is the best.
b] Option 1 is the best because she will secure $510 as compared to option 2 which has interest rate that reduces her amount by $1 after one year due to annual charges. The total amount of money she will have at the end of the plan is $510.