Finite Math Examples

$\frac{1 - {(1.005)}^{- 360}}{0.005} r = 200000$

Step 1

Simplify.

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Step 1.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1 - \frac{1}{{1.005}^{360}}}{0.005} r = 200000$

Step 1.2

Raise $1.005$ to the power of $360$ .

$\frac{1 - \frac{1}{6.02257521}}{0.005} r = 200000$

Step 1.3

Divide $1$ by $6.02257521$ .

$\frac{1 - 1 \cdot 0.16604192}{0.005} r = 200000$

Step 1.4

Multiply $- 1$ by $0.16604192$ .

$\frac{1 - 0.16604192}{0.005} r = 200000$

Step 1.5

Subtract $0.16604192$ from $1$ .

$\frac{0.83395807}{0.005} r = 200000$

Step 1.6

Divide $0.83395807$ by $0.005$ .

$166.79161439 r = 200000$

Step 2

Divide each term in $166.79161439 r = 200000$ by $166.79161439$ and simplify.

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Step 2.1

Divide each term in $166.79161439 r = 200000$ by $166.79161439$ .

$\frac{166.79161439 r}{166.79161439} = \frac{200000}{166.79161439}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $166.79161439$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{166.79161439 r}{166.79161439} = \frac{200000}{166.79161439}$

Step 2.2.1.2

Divide $r$ by $1$ .

$r = \frac{200000}{166.79161439}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $200000$ by $166.79161439$ .

$r = 1199.1010503$