Test7 (Calc)

Question 1

Find the interest earned on $15,000 at 7.5% p.a. compounded annually for 8 years.

Answer 1

$11,752.17

Question 2

Find the balance after 4 years if $7,000 is invested at 8% p.a. compounded annually.

Answer 2

$9,523.42

Question 3

Rhonda bought a new car for $18,000. As soon as she drove it out of the dealership, it lost 15% of its value (because it is now second-hand). How much value did the car lose?

Answer 3

$2,700

Question 4

Find the simple interest on $1,280 at 9.8% p.a. for 5 years.

Answer 4

$627.20

Question 5

Computer equipment depreciates at a rate of 35% p.a. What would a new laptop which cost $2,499 today be worth 5 years from now?

Answer 5

$289.96

Question 6

Find the direction angle of t = ⟨3, –8⟩.

Answer 6

290.1 degrees

Question 7

Find the direction angle of t = –2i + 5j.

Answer 7

111.8 degrees

Question 8

Find the direction angle of v = –2j.

Answer 8

270 degrees.

Question 9

Find the direction angle of v = 3i – 5j.

Answer 9

301 degrees.

Question 10

Find the direction angle of w = ⟨–9, 0⟩.

Answer 10

180 degrees.