Answer:
Range of the given function = -4
Step-by-step explanation:
Range is the set of output values.
In a graph, the set of x-values of the function is know as domain and the set of y-values of the function is known as range.
In the graph red line represents the function.
From the given graph it is clear that the function is defined from x=-1 to x=4.
For each value of x the y-value is -4.
Hence, the range of the function is -4.
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➷ When you add fractions, you have to have the same denominator whereas, when you multiply them, you don't have to. (In this case the denominators are already the same.) Also, multiplying the fractions would make the result smaller whereas adding them would make it larger.
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The equation
P(t) = 1405233 * (1 - 0.011)^(t)
models the population at t years after 2010. Then, when P(t) = 1,200,000, we have
1200000 = 1405233 * (0.989)^t
(0.989)^t = 1200000/1405233
t = log(1200000/1405233)/log(0.989)
t = 14.27 years
This means 14.27 years after 2010. Therefore, the answer to this question is 2024.

so, as you can see above, the common ratio r = 1/2, now, what term is +4 anyway?


so is the 8th term, then, let's find the Sum of the first 8 terms.

![\bf S_8=512\left[ \cfrac{1-\left( \frac{1}{2} \right)^8}{1-\frac{1}{2}} \right]\implies S_8=512\left(\cfrac{1-\frac{1}{256}}{\frac{1}{2}} \right)\implies S_8=512\left(\cfrac{\frac{255}{256}}{\frac{1}{2}} \right)\\\\\\S_8=512\cdot \cfrac{255}{128}\implies S_8=1020](https://tex.z-dn.net/?f=%20%5Cbf%20S_8%3D512%5Cleft%5B%20%5Ccfrac%7B1-%5Cleft%28%20%5Cfrac%7B1%7D%7B2%7D%20%5Cright%29%5E8%7D%7B1-%5Cfrac%7B1%7D%7B2%7D%7D%20%5Cright%5D%5Cimplies%20S_8%3D512%5Cleft%28%5Ccfrac%7B1-%5Cfrac%7B1%7D%7B256%7D%7D%7B%5Cfrac%7B1%7D%7B2%7D%7D%20%20%5Cright%29%5Cimplies%20S_8%3D512%5Cleft%28%5Ccfrac%7B%5Cfrac%7B255%7D%7B256%7D%7D%7B%5Cfrac%7B1%7D%7B2%7D%7D%20%20%5Cright%29%5C%5C%5C%5C%5C%5CS_8%3D512%5Ccdot%20%5Ccfrac%7B255%7D%7B128%7D%5Cimplies%20S_8%3D1020%20)
Answer:
19.20
Step-by-step explanation:
24%×80 = 24×80/100 = 1920/100 = 19.20