Ted williams made deposits of $500 at the end of each year for eight years. the rate is 8% compounded annually. the value of ted's annuity at the end of eight years is (use the tables in the handbook):

The value of Ted's annuity at the end of eight years is $5318.3138.

Step-by-step explanation:

Given : Ted Williams made deposits of $500 at the end of each year for eight years. The rate is 8% compounded annually.

To find : The value of Ted's annuity at the end of eight years ?

Solution :

The future value of an ordinary annuity is given by,

Where,

C is deposit amount C=$500

n is the number of payments n=8

i is the interest rate i=8%=0.08

Substitute the value in the formula,

Therefore, the value of Ted's annuity at the end of eight years is $5318.3138.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this