The surface area of a rectangular prism is given by:
A = 2 * (x * y) + 2 * (x * z) + 2 * (y * z)
where,
x, y, z: are the sides of the rectangular prism
Substituting values we have:
A = 2 * (2 * 8) + 2 * (2 * 11) + 2 * (8 * 11)
A = 252 in ^ 2
Answer:
The surface area of the prism in square inches is:
252 square inches
Answer:
Step-by-step explanation:
The equations given are:
For the equations to generate the same independent value, then
This implies that:
Group similar terms to get:
Simplify to get:
Given:
Total amount invested = $9,000
interest rates = 4% and 6%
Let x be the part of 9,000.
Note that annual return on each investment is the same.
0.04x = 0.06(9,000 - x)
0.04x = 540 - 0.06x
0.04x + 0.06x = 540
0.10x = 540
x = 540/0.10
x = 5,400
0.04x = 0.06(9,000 - x)
0.04(5,400) = 0.06(9,000 - 5,400)
216 = 0.06(3,600)
216 = 216
total interest for the year : 216 + 216 = 432
Interest = pricipal * interest rate * term
432 = 9,000 * interest rate * 1 yr
432/9,000 = interest rate
0.048 = interest rate
Interest rate would be 4.8% to get the same interest from the whole 9,000.
Yes, Lynn does have enough for each classmate in class, If she wants to give each kid 1/4 of a candy bar, 4(the amount of kids that can get candy per bar) x8(candy bars) would equal 32.
<h3>
Answer: A. True</h3>
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Explanation:
Let x be the number of years since 1995. So x = 0 represents 0 years from 1995, x = 1 is 1 year after 1995, and so on.
The first row of the table is (x,y) = (0, 625) with y being the number of salmon.
The second row is (1, 400).
Let's find the slope of the line through these two points.
m = (y2-y1)/(x2-x1)
m = (400 - 625)/(1 - 0)
m = (-225)/1
m = -225
This tells us the salmon population dropped by 225 in the course of a year from 1995 to 1996.
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The third row shows (2, 225). Let's find the slope of the line through the two points (1, 400) and (2, 225)
m = (y2-y1)/(x2-x1)
m = (225 - 400)/(2-1)
m = (-175)/(1)
m = -175
The slope is different from the previous result. Because of this discrepancy, this means we do not have a linear model. The slope should be the same for any two points you pick from this table if you wanted a linear model.
Put another way, there is less steep a drop of the population, and the decay curve is slowly flattening out.
