A dilation has center (0,0). Find the image of the point B (7/4,-3/4) for the scale factor 1/4.
1 answer:
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Answer:
46−5y
Step-by-step explanation:
5(10−y)−4
Use the distributive property to multiply 5 by 10−y.
50−5y−4
Subtract 4 from 50 to get 46.
46−5y
Graph if needed:
Answer: The world's population in 2015 would have been 7.333 billion.
Step-by-step explanation:
- Since the increase in population is an exponential one. It then follows a geometric progression defined by,
=
- Where
- Therefore, the population in <u>1998</u> is the <u>first term</u> <em>a</em> = 5.937 billion. The population in <u>2014</u> corresponds to the <u>17th term </u>(i.e., <em>n </em>= 17) = 7.238 billion.
Hence, =
7.238 billion = 5.937 billion ×
= (7.238 billion) ÷ (5.937 billion)
= 1.219
<em>r</em> =
<em>r</em> = 1.0125
To get the population in 2015, which is the 18th term. We use
=
= 5.937 billion ×
= 5.937 billion ×
= 5.937 billion × 1.235
= 7.333 billion