Answer:
So she must achieve about 11.61 %
Step-by-step explanation:
Amount invest by Kathy = $50000
She wanted to buy a home for $150000
Time of investment = 10 years
We have to find the return which she received
Let she receives x return
So according to question
![50000* (1+x)^(10)=150000](https://img.qammunity.org/2020/formulas/business/high-school/4gyj2sn78mga1b361bq2w6ld62m382x9n7.png)
![(1+x)^(10)=3](https://img.qammunity.org/2020/formulas/business/high-school/eoaznoddcgqozvmgnbg9i3nf3db584i3ym.png)
![(1+x)=3^(0.1)](https://img.qammunity.org/2020/formulas/business/high-school/ho4oqh5k3hip30yainy3hubvhrajy5y5fp.png)
![(1+x)=1.1161](https://img.qammunity.org/2020/formulas/business/high-school/tdmlcfehpnrfbawcyjva4qug7cy7xielle.png)
![x=0.1161=11.61%](https://img.qammunity.org/2020/formulas/business/high-school/on025fwnsfk0zug3c7nbks870uhwae4wsz.png)
So she must achieve about 11.61 %