A certain number was multiplied by 4. Then, this product was divided by 19.4. Finally 6.4 was subtracted from this quotient, res
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Year New flowers
1 1200
2 300
3 75
There were 1200 wildflowers in the first year that the park started tracking them. Since then, there have been one fourth as many new flowers each year
Initially there are 1200 flowers and start decreasing by
So first term is 1200 and common ratio is .
Its a geometric sequence so summation becomes
i =1∑ ∞ 1200(
Now we find the sum
We use sum formula
Where a is the first term , a= 1200
r is the common ratio , r= 1/4
Sum = 1600 wildflowers
The ratio of the volumes is equal to the scale factor cubed.
![\frac{V_1}{V_2}=k^3 \\ \\ \frac{320 \ cm^3}{1080 \ cm^3}=k^3 \\ \frac{8}{27}=k^3 \\ k=\sqrt[3]{\frac{8}{27}} \\ \boxed{k=\frac{2}{3}} \Leftarrow \hbox{answer B}](https://tex.z-dn.net/?f=%5Cfrac%7BV_1%7D%7BV_2%7D%3Dk%5E3%20%5C%5C%20%5C%5C%0A%5Cfrac%7B320%20%5C%20cm%5E3%7D%7B1080%20%5C%20cm%5E3%7D%3Dk%5E3%20%5C%5C%0A%5Cfrac%7B8%7D%7B27%7D%3Dk%5E3%20%5C%5C%0Ak%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B8%7D%7B27%7D%7D%20%5C%5C%0A%5Cboxed%7Bk%3D%5Cfrac%7B2%7D%7B3%7D%7D%20%5CLeftarrow%20%5Chbox%7Banswer%20B%7D)