Answer:
She paid back $192 in interest
Step-by-step explanation:
A = P(1+r)^n
P = $1,200
r = 10.5% = 0.105
n = 18 months = 18/12 = 1.5 years
A = 1,200(1+0.105)^1.5 = 1,200(1.105)^1.5 = 1,200×1.16 = 1,392
Amount = $1,392
Principal = $1,200
Interest = amount - principal = $1,392 - $1,200 = $192
Answer: Manny is making 3/2 batches, which is equivalent to 1.5, it's more than one. So, Manny is making more than 1 batch. According to the problem, 2 cups of flour in a batch, if he's making 1.5 batch, he would need 3 cups of flour, which is more than 2 cups of flour.
Step-by-step explanation:
Answer:
length of a rectangle is 5 more than twice the length. I believe
you mean the length of a rectangle is 5 more than twice the
width.
From the information given we can make two equations,
thus forming a system to solve. We know the perimeter
of a rectangle is 2(length + width) and area = length*width.
length of a rectangle is 5 more then twice the width:
L = 2w + 5
The perimeter is 130:
2(L+w) = 130
L+w = 65
Since we know L=2w+5 we can substitute that into 2nd equation
to solve for w
2w + 5 + w = 65
3w = 60
w = 20
L = 2w+5 = 45
The area is length*width = 20(45) = 900 square units
Answer:
14
Step-by-step explanation:
The interquartile range is the value of quartile 3 minus quartile 1.
The "box" part of this diagram has 3 lines, the left most, the middle, and the rightmost.
The leftmost line is Quartile 1. The right most is Quartile 3.
Hence
interquartile range = quartile 3 - quartile 1
Looking at the box plot, we can see that each small line in the number line is 2 units.
The leftmost line (quartile 1 ) is at 1 unit left of 30, so that is 30 -2 = 28
The rightmost line (quartile 3) is at 1 unit right of 40, so that is 40 + 2 = 42
Hence,
Interquartile range = 42 - 28 = 14
