Respuesta :
Answer:
the answer is f(x) = 401.19(1.08)x
Step-by-step explanation:
use a regression calculator.
The correct option is D, which is f(x) = 401.19(1.08).
Given to us:
Initial Amount Miguel Invested = $400
The account's value over time, in x years,
[tex]\$400\rightarrow\$436\rightarrow\$468\rightarrow\$502\rightarrow\$550[/tex]
Options given to us:
a.) f(x) = 1.41(30.69)'
b.) f(x) = 37.74(396.48)
c.) f(x) = 390.60(1.41)
d.) f(x) = 401.19(1.08)
We can solve the question using regression method as well, but to do such kind of question fast we can do it normally.
Looking closely at all the options given to us, we will find that option a and option b is already eliminated as the principal amount is $400 while the option starts with 1.41 and 37.74. Also, the amount by which the principal is growing is too less compared to 30.69 and 396.48.
If we try with option c,
f(x) = 390.60(1.41), so after the first iteration itself the value will be 550, therefore it is not the right option.
If we try with option d,
f(x) = 401.19(1.08), the values will be,
[tex]401.19(1.08) \rightarrow 433.2852(1.08) \rightarrow 467.948(1.08) \rightarrow 505.3838(1.08) \rightarrow 545.8145(1.08)[/tex]As only option D is giving the desired result.
Hence, the correct option is D, which is f(x) = 401.19(1.08).
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https://brainly.com/question/7656407
