Tabby Soft believes that it will need new equipment in 5 years. The equipment will cost $26,000. What lump sum should be invested today at 6%, compounded semiannually, to yield $26,000?

Respuesta :

26000=p(1+0.06/2)^(2*5)
Solve for p
P=26,000÷(1+0.06÷2)^(2×5)
P=19,346.44

Answer:

The answer is $19346.67.

Step-by-step explanation:

The A = 26000

r = 6% or 0.06

n = 2

t = 5

We have to find p.

Compound interest formula is :

[tex]A=p(1+r/n)^{nt}[/tex]

Now putting the values in the formula we get

[tex]26000=p(1+0.06/2)^{10}[/tex]

[tex]26000=p\times 1.3439[/tex]

p = $19346.67

Therefore, tabby should invest $19346.67.

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