Answer:
1/3x +4
is the inverse of f(x) = 3x + 4.
Check:
The purpose of the inverse property of multiplication is to get a product of one. So the inverse multiplied with the original number (or equation) should give us the product of one.
1 / (3x + 4) * 3x + 4 = 3x+4 / 3x+ 4 = 1

1) Since this is a Continuously Compounded operation in a 10 yrs period, then we can write out the following equation:

2) Plugging into the equation the given data and since Otto is 20 yrs old and he plans to get $4,000 in ten years, we can write out:

3) Thus the rate Otto needs is

Note that since the 0.1386 the six here is greater than 5 then we can round up to the next thousandth, in this case: 0.139. For the 0.1386 is closer to 0.139 (0.004) than to 0.138 (0.006).
Or 13.9%
Answer: 5.37
Step-by-step explanation:
Let x = ACT scores.
Given: ACT scores have a mean of 20.8 and 9 percent of the scores are above 28. The scores have a distribution that is approximately normal.
i.e. P(X>28)=0.09 (i)
Now,
(ii)
One -tailed z value for p-value of 0.09 =1.3408 [By z-table]
From (i) and (ii)

Hence, the standard deviation = 5.37
<h3>10,000,000+700,000,000+2,000,000+9,000+4+</h3><h3>400,000+10,000+70+700</h3><h3>=712419774</h3>
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