FREE EJU Mathematics Questions and Answers

Question 1

Determine the amount of money in a money market account providing an annual rate of 7% compounded daily if Philips invested $2500 and left it in the account for 10 years.

Accepted Answer

$5034.04

Answer

$4917.88

Answer

$4974.47

Answer

$4915.25

Question 2

Given that log 5 = 0.6990, evaluate log 5000.

Accepted Answer

3.6990

Answer

5.6990

Answer

4.6990

Answer

2.6990

Question 3

Differentiate y = ln(7x+2)

Accepted Answer

Dy/dx = 7 /(7x+2)

Answer

Dy/dx= 2/(7x+2)

Answer

Dy/dx= 7(7x+2)

Answer

Dy/dx= 7x+2

Question 4

Someone wants to know the inclination angle of a street. He notices that the bricks in a fence are horizontal with respect to the street and that the horizontal distance from a point is 35 cm. From there, downward, the brick measures 6 cm of vertical distance toward the street. What is the inclination angle?

Accepted Answer

9°43´39.28”

Answer

12° 13’12”

Answer

80°16’20”

Answer

10°19´20"

Question 5

If you need to buy a rope for the flag pole and you notice that the shadow cast by the flagpole is 11.6m. While the elevation angle of the sun is 35° 40.’ What is the length of the rope you must buy?

Accepted Answer

16.65m

Answer

32.32m

Answer

17.28m

Answer

34.23m

Question 6

A gamma-ray tube is used to treat a tumor located 5.7 cm under the skin of the patient. In order not to damage an organ on top of the tumor, the technician moves the tube 8.3 cm. to one side. What would be the angle of the tube for the gamma rays to affect the tumor?

Accepted Answer

34°28’45”

Answer

55°31’14”

Answer

34°11’19”

Answer

51°35’24”

Question 7

If v =〈a,b〉, then a is the ___________ component of v.

Accepted Answer

Horizontal

Answer

Vertical

Answer

Slope

Answer

Parallel

Question 8

Find the component form of a vector whose magnitude is 10 and direction is 150°.

Accepted Answer

-5√3, -5

Answer

6.99 , -7.14

Answer

10i + 150j

Answer

10, 150

Question 9

If a turtle moves from coordinate P = (3,2) to Q = (5,6). Which vector models the turtle's motion?

Accepted Answer

2,4

Answer

8,8

Answer

-1,5

Answer

None of the above

Question 10

Find the magnitude of the vector <2, -3>.

Accepted Answer

√13

Answer

√-4

Answer

13

Answer

√11