Answer:
f(t) = 101,234
Step-by-step explanation:
First, use FV formula to find the rate ;r given PV=101,234 and FV=104,271.02 and time= 1 year
104,271.02 = 101,234
Divide both sides by 101,234 to get;
104,271.02 / 101,234 = 1+r
1.03 = 1+r
1.03 -1 =r
therefore r= 0.03 or 3%
Next, to get the function of FV of estate after t years; f(t) ;
Plug in the 3% rate found above into the FV formula with PV being the current value of 101,234 and it becomes;
f(t) = 101,234
You can use proportions to solve this.
Cross multiply
Divide by 4
Now solve
There are 280 dolls
Using the probability concept, the correct statement is:
B. P(hibiscus|red) = P(hibiscus).
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
For item a, the probabilities are:
- P(yellow|rose) = 45/105 = 0.4286.
- P(yellow) = 135/315 = 0.4286.
Same probabilities, hence the statement that they are different is false.
For item b, the probabilities are:
- P(hibiscus|red) = 80/120 = 2/3.
- P(hibiscus) = 210/315 = 2/3.
Equal, hence this is the correct statement.
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
tan(C) = √3/√2
Step-by-step explanation:
First, using Pythagorean Theorem, find AC.
=> AC = √(3√5)² - (3√3)²
=> AC = √45 - 27
=> AC = √18
=> AC = 3√2
tan C = 3√3/3√2
= √3/√2