Answer:
You will have $29,000 in 30 years, and you need to start with about $2,772.28 to make $14,000 in 9 years
Explanation:
To find the total investment use the equation
![A = P(1 + rt)](https://img.qammunity.org/2021/formulas/mathematics/college/nw8x7i4x2haaxo8wksfjs1zv4y9tbztk92.png)
Where A equals total investment, P is your start investment, r is your rate, and t is time.
![A=2,000(1+(0.45 * 30))](https://img.qammunity.org/2021/formulas/mathematics/college/wbvice4enjggshpmar9w736oosh8n8wge6.png)
![A=2,000(1+13.5)](https://img.qammunity.org/2021/formulas/mathematics/college/8uyw1dhfb6v9up337vo7asch3avhey00uk.png)
![A=2,000*14.5](https://img.qammunity.org/2021/formulas/mathematics/college/nz1bk1gmu7gds8uui35f0ndovfhvdv2z7c.png)
![A=29,000](https://img.qammunity.org/2021/formulas/mathematics/college/p3ja3doyxdmb3zpopn7wugnpoxvgpkan4f.png)
To find the start investment use the equation
![P = A / (1 + rt)](https://img.qammunity.org/2021/formulas/mathematics/college/s2cltohx6rcl92himo3hoigb5vezspj6hu.png)
![P=14,000/(1+(0.45*9))](https://img.qammunity.org/2021/formulas/mathematics/college/q897cq4bs878ayt0t0wo7qt0c6hfryi6tv.png)
![P=14,000/(1+4.05)](https://img.qammunity.org/2021/formulas/mathematics/college/frkyi49klcbxurw2uj5au6e56qzij98vfb.png)
![P=14,000/5.05](https://img.qammunity.org/2021/formulas/mathematics/college/15qg2mjq6ci4dpj3difbz8ooqe16t0pcmb.png)
![P=2,772.28](https://img.qammunity.org/2021/formulas/mathematics/college/b60h5os1e2cwhtzfzyavvdx86vkrcy1z49.png)