1. Rachel borrowed $1000. The interest rate for her loan is 8%. What is the difference in the interest she’ll pay if she pays it back in 2 years or 3 years? Work here:



1. Would it be better to have a loan with 5% interest, paid back in 2
years, OR a loan with 2% interest paid, back in 5 years? Explain.
Show work to justify your answer.
Work here:

Part A 2 years

1000*8%=80 so 1080

1080*8%=86.4 so 1166

Part B

first plan means you pay $1102.50

second plan means you pay $1104.08

so the first is better

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.