Answer: 24.5%
Step-by-step explanation:
Last year her stock in company A was worth $4600. If her Stock in company A has decreased by 25% since last year in stock, then the amount by which it decreased is
25/100 × 4600 = $1150
The present worth is
4600 - 1150 = $3450
Also, her stock in company B was worth $1000. If her Stock in company B has decreased by 22% since last year in stock, then the amount by which it decreased is
22/100 × 1000 = $220
The present worth is
1000 - 220 = $780
The total worth of both stocks last year was
4600 + 1000 = $5600
The total worth of both stocks this year was
3450 + 780 = $4230
The amount by which it decreased is
5600 - 4230 = 1370
the total percentage decrease in the investor stock account is
1370/5600 × 100 = 24.5%
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Answer: V = (12in - 2*x)*(8 in - 2*x)*x
Step-by-step explanation:
So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.
Remember that for a box of length L, width W and height H, the volume is:
V = L*W*H
In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:
L = 12 in - 2*x
For the width we have a similar case:
W = 8in - 2*x
And te height of the box will be equal to x, then:
H = x
This means that the volume is:
V = (12in - 2*x)*(8 in - 2*x)*x
Here we can see the connection between the cutout and the volume of the box
2,700 / 12 = 225
225 / 5 = 45
They can make 45 necklaces.
In a parallelogram, opposite angles are congruent and consecutive angles are supplementary.
3x - 15 = 2x + 24
3x - 2x = 24 + 15
x = 39 <===
