Suppose you have just inherited a sum of money. Let’s say you choose to invest the money. How much did you inherit? Choose an amount between $1000 and $100,000. Do not choose an increment of 1000. In other words, do not choose $1000, $2000, $5000, $14000, etc.
What is your interest rate? Choose a rate between 0.5% and 3%.
Using yearly compounding, calculate the accrued value after 5 years, 10 years, and 15 years. Show all work. Try the 5 year and 10 years

Respuesta :

Answer:

  • The investment is P = $32550
  • Interest rate is r = 2% or 0.02
  • Time is t = 5 years or t = 10 years

Formula to use:

  • A = P(1 + r)^t

For t = 5 we get:

  • A = 32550*(1 + 0.02)^5 = $35937.83

For t = 10 we get:

  • A = 32550*(1 + 0.02)^10 = $39678.27

Step-by-step explanation:

Answer :-

β†’ Current in 10 Ξ© resistor = 4 A

β†’ Current in 20 Ξ© resistor = 2 A

β†’ Power of the 10 Ξ© resistor = 160 W

β†’ Power of the 20 Ξ© resistor = 80 W

Explanation :-

We have :-

β†’ 1st resistance (R₁) = 10 Ξ©

β†’ 2nd resistance (Rβ‚‚) = 20 Ξ©

β†’ Total current (I) = 6 A

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The current in the 10 Ξ© resistor is :-

I₁ = (Rβ‚‚/R₁ + Rβ‚‚) Γ— I

β‡’ I₁ = (20/10 + 20) Γ— 6

β‡’ I₁ = 20/30 Γ— 6

β‡’ I₁ = 4 A

The current in the 20 Ξ© resistor :-

Iβ‚‚ = (R₁/R₁ + Rβ‚‚) Γ— I

β‡’ Iβ‚‚ = (10/10 + 20) Γ— 6

β‡’ Iβ‚‚ = 10/30 Γ— 6

β‡’ Iβ‚‚ = 2 A

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Power of 10 Ξ© resistor :-

P₁ = I²₁ Γ— R₁

β‡’ P₁ = (4)Β² Γ— 10

β‡’ P₁ = 16 Γ— 10

β‡’ P₁ = 160 W

Power of 20 Ξ© resistor :-

Pβ‚‚ = IΒ²β‚‚ Γ— Rβ‚‚

β‡’ Pβ‚‚ = (2)Β² Γ— 20

β‡’ Pβ‚‚ = 4 Γ— 20

β‡’ Pβ‚‚ = 80 W