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ira [324]
3 years ago
11

If i have 45 books and my friend gives me 458 how many will i have?

Mathematics
1 answer:
iren [92.7K]3 years ago
5 0
503 books you will have
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If the present value of an investment is $5,000, what will be its future value in three years if you apply a compound interest o
Nimfa-mama [501]
5000(1+0.05)^3==5,788.125
4 0
3 years ago
Two points have the same y-coordinate but opposite x-coordinates. Which is a possible graph of these points?
Reika [66]

Answer:

A graph with one point in the secound quadrant, and one in the fourth quadrant. (top left answer)

Step-by-step explanation:

X axis is -

Y axis is |

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2 years ago
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A train travels 80 miles per hour. If its speed remains the same, how far will the train have gone in 90 minutes?
Nataly_w [17]
Hello! So, the train travels 80 miles in an hour. 90 minutes is equivalent ot 1 ½ hours. In case you don't know, ½ of 80 is 40. To find the distance gone in 90 minutes, we can just add 80 and 40. 80 + 40 is 120. Another way to solve it is to multiply 80 by 1.5 and you would still get the same answer. There. The train will have gone 120 miles in 90 minutes.
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Find tan(B) in the triangle.<br> Choose 1 answer<br> A 15/8<br> B 8/17<br> C 8/15 <br> D 15/17
erastova [34]
Answer: C
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6 0
3 years ago
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What point in the feasible region maximizes the objective function, 3x + y ≤ 12, x+y ≤5, x ≥0,y ≥0
forsale [732]

Step-by-step explanation:

We have to find the point in the feasible region which maximizes the objective function. To find that point first we need to graph the given inequalities to find the feasible region.

Steps to graph 3x + y ≤ 12:

First we graph 3x + y = 12 then shade the graph for ≤.

plug any value of x say x=0 and x=2 into 3x + y = 12 to find points.

plug x=0

3x + y = 12

3(0) + y = 12

0 + y = 12

y = 12

Hence first point is (0,12)

Similarly plugging x=2 will give y=6

Hence second point is (2,6)

Now graph both points and joint them by a straight line.

test for shading.

plug any test point which is not on the graph of line like (0,0) into original inequality 3x + y ≤ 12:

3(0) + (0) ≤ 12

0 + 0 ≤ 12

0 ≤ 12

Which is true so shading will be in the direction of test point (0,0)


We can repeat same procedure to graph other inequalities.

From graph we see that ABCD is feasible region whose corner points will result into maximum or  minimu for objective function.

Since objective function is not given in the question so i will explain the process.

To find the maximum value of objective function we plug each corner point of feasible region into objective function. Whichever point gives maximum value will be the answer

7 0
3 years ago
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