Answer:
I am pretty sure that the answer is d
Step-by-step explanation:
<h2>
Answer:</h2>
The probability is:
![\dfrac{1}{400}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B400%7D)
<h2>
Step-by-step explanation:</h2>
It is given that:
An urn contains balls numbered 1 through 20.
A ball is chosen, returned to the urn, and a second ball is chosen.
This means that this is a case of a replacement.
Hence, one of the event is independent of the other.
Now we know that the probability to get a particular number of ball is:
![\dfrac{1}{20}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B20%7D)
( Since, there are total 20 balls and a ball of one particular number is just unique )
i.e. ![\text{Probability of getting a 8}=\dfrac{1}{20}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%20of%20getting%20a%208%7D%3D%5Cdfrac%7B1%7D%7B20%7D)
Hence, the probability that the first and second balls will be a 8 is:
![=\dfrac{1}{20}\times \dfrac{1}{20}\\\\\\=\dfrac{1}{400}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B20%7D%5Ctimes%20%5Cdfrac%7B1%7D%7B20%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B400%7D)
Answer:
f(t) = 101,234![(1.03)^{t}](https://tex.z-dn.net/?f=%281.03%29%5E%7Bt%7D)
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
![FV= PV (1+r)^{t}](https://tex.z-dn.net/?f=FV%3D%20PV%20%281%2Br%29%5E%7Bt%7D)
104,271.02 = 101,234![(1+r)^{1}](https://tex.z-dn.net/?f=%281%2Br%29%5E%7B1%7D)
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![(1.03)^{t}](https://tex.z-dn.net/?f=%281.03%29%5E%7Bt%7D)
Answer:
It is unequal because PEMDAS states that exponents are above multiplication. In this case, it can be simplified to -1 * 7^2, which is -49.
Given:
Original price = $15.25
Tax rate = 7%
To find:
The total amount.
Solution:
We know that,
Total amount = Original price + Tax
According to the question,
Total amount = 15.25 + 7% of 15.25
![\text{Total amount}=15.25+\dfrac{7}{100}\times 15.25](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20amount%7D%3D15.25%2B%5Cdfrac%7B7%7D%7B100%7D%5Ctimes%2015.25)
![\text{Total amount}=15.25+1.0675](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20amount%7D%3D15.25%2B1.0675)
![\text{Total amount}=16.3175](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20amount%7D%3D16.3175)
Round to the nearest cent (two decimal places).
![\text{Total amount}\approx 16.32](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20amount%7D%5Capprox%2016.32)
Therefore, the total value is $16.32.