So remember the product rule of radicals: √ab = √a × √b
In this case:
√2 × √5 × √11 = √(2 × 5 × 11) = √110
<u>√110 is your final answer.</u>
Answer:
94
Step-by-step explanation:
The triangle is split into two similar triangles. They have the same shape but not the same size. To solve, write a proportion to find KY.
![\frac{95.2}{168}=\frac{34}{KY}](https://tex.z-dn.net/?f=%5Cfrac%7B95.2%7D%7B168%7D%3D%5Cfrac%7B34%7D%7BKY%7D)
Cross multiply to solve for KY.
95.2(KY) = 168(34)
95.2KY = 5,712
KY = 60
Add KY to 34 to find x.
60 + 34 = 94.
Use the desmos calculator it will really help for graphing things
<h3>
Answer: $655,430.67</h3>
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Work Shown:
![A = P*(1+r)^t\\\\A = 175,000*(1+0.045)^{30}\\\\A = 175,000*(1.045)^{30}\\\\A \approx 175,000*3.74531813453687\\\\A \approx 655,430.673543952\\\\A \approx 655,430.67\\\\](https://tex.z-dn.net/?f=A%20%3D%20P%2A%281%2Br%29%5Et%5C%5C%5C%5CA%20%3D%20175%2C000%2A%281%2B0.045%29%5E%7B30%7D%5C%5C%5C%5CA%20%3D%20175%2C000%2A%281.045%29%5E%7B30%7D%5C%5C%5C%5CA%20%5Capprox%20175%2C000%2A3.74531813453687%5C%5C%5C%5CA%20%5Capprox%20655%2C430.673543952%5C%5C%5C%5CA%20%5Capprox%20655%2C430.67%5C%5C%5C%5C)
The home's value in 2020 is approximately $655,430.67 assuming that the rate of inflation is kept at 4.5% per year.
Note that for the r value, I used the decimal form of 4.5% (so you'll move the decimal point 2 spots to the left).
Also, the timespan from 1990 to 2020 is 2020-1990 = 30 years, which is why I used this for the t value.