Answer: 2/3 books on politics
Step-by-step explanation:
The opportunity cost of something is the next best alternative that you would have taken if you did not instead go for the option that you took.
Opportunity cost here is the number of books on politics that Bill had to give up to get a single book on history.
= Number of politics books / Number of history books
= 4 / 6
= 2/3 books on politics
<em>Bill gave up 2/3 books on politics to get a single history book. </em>
Answer: u=7
Step-by-step explanation:
-6= -2u+4(u-5)
-6= -2u+4u-20
-6= 2u-20
14= 2u
7=u
Answer:
Bill by $85
Step-by-step explanation:
Bill : Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the money given is then subtracted from the resulting value.
Compounded annually for 6 years at 9 % interest Bill would have $8385.50.
Joe : Simple interest at 11% a year The formula we'll use for this is the simple interest formula.
P is the principal amount, $5000.00.
r is the interest rate, 11% per year, or in decimal form, 11/100=0.11.
t is the time involved, 6year(s) time periods.
So, t is 6year time periods.
To find the simple interest, we multiply 5000 × 11 × 6 = 3300
Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),
or 5000.00 + 3300.00 = 8300.00
As you can see Bill has more by $85.
^Check yourself
Answer:
Isosceles Right Triangle Example
Step-by-step explanation:
Find the area and perimeter of an isosceles right triangle whose hypotenuse side is 10 cm. Therefore, the length of the congruent legs is 5√2 cm. Therefore, the perimeter of an isosceles right triangle is 24.14 cm.
Hope this answer helps ^^
Answer:
a) 1 / 12
b) 1 / 4
Step-by-step explanation:
The events are independent since they do not affect each other. The total probability of two independent events is the product of the probabilities of the two events.
a) When rolling a die, there are 6 outcomes, the numbers 1 - 6. There is only 1 outcome where you can get a 2. Therefore, the probability of rolling a two is 1/6.
When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with heads. The probability of getting head would be 1 / 2.
To find the the total, you multiply the probabilities of the two events: 1 / 6 * 1 / 2 = 1 / 12
b) As stated before, when rolling a die, there are 6 outcomes, the numbers 1 - 6. There are 3 outcomes where she can roll an even number: the numbers 2, 4, or 6. So, the probability of rolling an even number is 3 / 6 or 1 / 2.
When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with tails. The probability of getting tails would be 1 / 2.
Now, you multiply the two probabilities to get the total probability: 1 / 2 * 1 / 2 = 1 / 4
