Answer:
A F(x)=30x
Step-by-step explanation:
just plug number in to the equations to see which one matches
The answer is: [B]: " 3.99 * 10⁻⁶ " .
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Note:
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We are given the following answer choices, and we are asked which one is the "smallest number" :
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[A]: 4.4 * 10⁻⁵
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[B]: 3.99 ⋅ 10⁻⁶
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[C]: 2.6 ⋅ 10²
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[D]: 1.85 ⋅ 10³
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We can rule out answer choices: [C] and [D]; since these values, essentially "direct us" to move the decimal point FORWARD "2 places" and "3 places", respectively; whereas choices [A] and [B] essentially "direct us" to move the decimal point BACKWARD "5 places" and "6 places" respectively. Note that all values given in the answer choices are written in proper "scientific notation" —that is, beginning with a "single integer followed by (a) decimal point(s) and then additional digits (when needed). So, the answer choice that essentially "directs us" to move the decimal point BACKWARD "6 places" —
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→ Answer choice: [B]: " 3.99 * 10⁻⁶ " ;
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is the smallest value ; and as such, the correct answer.
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Well, there are 13 places that each horse can place. That means the first place has 13 options, second place has 12 options, third place has 11 options, etc. Though, we only care up to fourth place. When doing probability, we're multiplying in this case. So, here's the process:
How many ways all the horses can place = 13! = 6227020800
How many ways the first four places can place = 13*12*11*10 = 17160
Divide the second by the first and multiply by 100 for the probability as a percent:
(17160/6227020800)*100% ≈ <span>0.00027557319%
</span>
Answer:
Step-by-step explanation:
This is an Annuity question. It is asking for recurring monthly payment(PMT). <em>You can use a financial calculator to solve it. I am using (Texas Instruments BA II plus)</em>
Since the payments occur monthly , adjust the interest rate to monthly rate and multiply 40 years by 12 since we have 12 months in a year<em>.</em>
Total duration of investment ; N = 40*12 = 480
Interest rate; I/Y = 5.75% /12 = 0.4792%
Future value; FV = 6,000,000
Present value ; PV = 0
then CPT PMT = 3,222.912
Therefore $3,222.91 should be deposited each month to achieve the goal.
