Simplify -8000+2500/(1+0.10)+2000/((1+0.10)^2)+3000/((1+0.10)^3)+5000/((1+0.10)^4)

$- 8000 + \frac{2500}{1 + 0.1} + \frac{2000}{{(1 + 0.1)}^{2}} + \frac{3000}{{(1 + 0.1)}^{3}} + \frac{5000}{{(1 + 0.1)}^{4}}$

Step 1

Simplify each term.

Add

$1$ and

$0.1$ .

$- 8000 + \frac{2500}{1.1} + \frac{2000}{{(1 + 0.1)}^{2}} + \frac{3000}{{(1 + 0.1)}^{3}} + \frac{5000}{{(1 + 0.1)}^{4}}$

Divide

$2500$ by

$1.1$ .

$- 8000 + 2272.\overline{72} + \frac{2000}{{(1 + 0.1)}^{2}} + \frac{3000}{{(1 + 0.1)}^{3}} + \frac{5000}{{(1 + 0.1)}^{4}}$

Simplify the denominator.

Add

$1$ and

$0.1$ .

$- 8000 + 2272.\overline{72} + \frac{2000}{{1.1}^{2}} + \frac{3000}{{(1 + 0.1)}^{3}} + \frac{5000}{{(1 + 0.1)}^{4}}$

Raise

$1.1$ to the power of

$2$ .

$- 8000 + 2272.\overline{72} + \frac{2000}{1.21} + \frac{3000}{{(1 + 0.1)}^{3}} + \frac{5000}{{(1 + 0.1)}^{4}}$

Divide

$2000$ by

$1.21$ .

$- 8000 + 2272.\overline{72} + 1652.89256198 + \frac{3000}{{(1 + 0.1)}^{3}} + \frac{5000}{{(1 + 0.1)}^{4}}$

Simplify the denominator.

Add

$1$ and

$0.1$ .

$- 8000 + 2272.\overline{72} + 1652.89256198 + \frac{3000}{{1.1}^{3}} + \frac{5000}{{(1 + 0.1)}^{4}}$

Raise

$1.1$ to the power of

$3$ .

$- 8000 + 2272.\overline{72} + 1652.89256198 + \frac{3000}{1.331} + \frac{5000}{{(1 + 0.1)}^{4}}$

Divide

$3000$ by

$1.331$ .

$- 8000 + 2272.\overline{72} + 1652.89256198 + 2253.9444027 + \frac{5000}{{(1 + 0.1)}^{4}}$

Simplify the denominator.

Add

$1$ and

$0.1$ .

$- 8000 + 2272.\overline{72} + 1652.89256198 + 2253.9444027 + \frac{5000}{{1.1}^{4}}$

Raise

$1.1$ to the power of

$4$ .

$- 8000 + 2272.\overline{72} + 1652.89256198 + 2253.9444027 + \frac{5000}{1.4641}$

Divide

$5000$ by

$1.4641$ .

$- 8000 + 2272.\overline{72} + 1652.89256198 + 2253.9444027 + 3415.06727682$

Step 2

Simplify by adding numbers.

Add

$- 8000$ and

$2272.\overline{72}$ .

$- 5727.\overline{27} + 1652.89256198 + 2253.9444027 + 3415.06727682$

Add

$- 5727.\overline{27}$ and

$1652.89256198$ .

$- 4074.38016528 + 2253.9444027 + 3415.06727682$

Add

$- 4074.38016528$ and

$2253.9444027$ .

$- 1820.43576258 + 3415.06727682$

Add

$- 1820.43576258$ and

$3415.06727682$ .

$1594.63151424$

Simplify -8000+2500/(1+0.10)+2000/((1+0.10)^2)+3000/((1+0.10)^3)+5000/((1+0.10)^4)

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