The probability that he selected the special quarter is 87.5%.
<h3><u /></h3><h3><u>Probability</u></h3>
Given that Mandvil has one standard quarter and one special quarter with a Head on both sides, and he selects one of these two coins at random, and without looking at it first, he flips the coin three times, to determine, if he flips a Head three straight times, what is the probability that he selected the special quarter, the following calculation must be made:
- 1 - (standard quarter) = X
- 1 - (0.50^3) = X
- 1 - 0.125 = X
- 0.875 = X
- 0.875 x 100 = 87.5
Therefore, the probability that he selected the special quarter is 87.5%.
Learn more about probability in brainly.com/question/24217562
<h3><u>
The missing number is equal to -5.</u></h3>
-2(x + 9) = -8
<em><u>Distributive property.</u></em>
-2x - 18 = -8
<em><u>Add 18 to both sides.</u></em>
-2x = 10
<em><u>Divide both sides by -2.</u></em>
x = -5
2,800
-------------------------------
Answer:
After 1 year: $7,256.59
After 5 years: $8,380.52
After 20 years: $14,381.03
APY = 3.66%
Step-by-step explanation:
If you deposit $7000 with an interest of 3.6%, after 1 year using continuous compounding, you will have
After 5 years you will have
After 20 years
To find the APY for the account, we have to compute the interest earned in one year.
We can do it by cross multiplying or by finding a number x such that
Operating on this equation we obtain
x = 0.0366 or 3.66%