Suppose that your parents invested P50,000 in your account since the time that you were born, to prepare for your college education. If the average interest rate is 4.4%
compounded annually, (a) give an exponential model for the situation, and (b) will the
money be doubled by the time you turn 18 years old?

9514 1404 393

  (a) a = 50000(1.044^t)

  (b) yes

Step-by-step explanation:

(a) The compound interest formula tells you the amount of the investment can be modeled by ...

  a = P(1 +r)^t

  a = 50,000(1.044)^t

__

(b) In 18 years, the amount will be ...

  a = 50,000(1.044^18) = 50,000(2.170746)

The multiplier is greater than 2, so the money will be more than doubled in 18 years.

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