HELP!!
2 answers:
Answer: The correct option is (B) 3.
Step-by-step explanation: Given that Lily just paid off a $400 loan. She had to pay $60 in interest at a simple annual interest rate of 5%.
We are to find the number of years for which Lily had this loan.
Let n be the required number of years.
Also, P = $400, S.I. = $60 and r% = 5%.
Therefore, by the formula of simple interest, we have
Thus, the required number of years is 3.
Option (B) is CORRECT.
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Answer:
Step-by-step explanation:
Step 1 is to collect the information in a table format. The attached Table1 summarizes what we know in columns 1 - 3. Columns 4 - 6 show the data we're about to calculate, so ignore them for the moment.
.I use A for the price of one apple and C for the price of 1 chocolate bar. We know how many of each are purchased by both Mary and Bill, and the total each paid.
The last column (6) shows the price for each, which comes from the derivation presented below.
We can set the information in columns 1 - 3 into equations:
Mary: 3A+1C = 2.70 [This states that Mary bought 3 apples at a price of A for each apple, and 1 chocolate bar at a price of C per bar.]
Bill: 1A + 4C = 6.40 [In the same fashion, this summarizes how Bill parted with his $6.40]
---
Now let's rearrange either equation to solve for C. I'll use Mary's equation:
3A+1C = 2.70
1C = 2.70 - 3A
This tells us that the price of 1 chocolate bar is $2.70 minus the cost of 3 apples. Interesting, but we need the price of a chocolate bar to determine an exact amount.
----
Now take Bill's equation and substitute the value we just derived for the price of a chocolate bar <u>C</u> = (2.70-3A).
1A + 4<u>C</u> = 6.40
1A + 4(2.70 - 3A) = 6.40
1A + 10.80 - 12A = 6.40
-11A = -4.40
A = 0.40 This is the price for 1 apple. This is the value in the last column (6) of attached Table1.
---
Now we can use the value of $0.40 in either equation to find the price of a chocolate bar. I'll use the rearranged equation we developed for Mary:
1C = 2.70 - 3A
1C = 2.70 - 3(0.40) [A = 0.40 from the above work]
1C = 2.70 - 1.20
1C = 1.50
The price of 1 chocolate bar is $1.50. Pricey, and bad for health. But very tasty.
Columns 4 and 5 are the total costs for the apples and bars bought by each, and their sums add up to the amounts we were given at the start of the problem. So our prices must be correct.
Answer:
is the probability that a player draws out two tiles of the same color assuming they are drawing one tile from each bag.
Step-by-step explanation:
In each bag there are red, green, and blue tiles, meaning that no matter which color is pulled out first there is always some probability that the second tile will be the same color. So, we can set up three possible outcomes:
Red: The player pulls out a red tile first. This has a probability of happening. Then in order to succeed for the problem, the next tile also needs to be red which has a
probability attached to it.
×
=
probability of happening.
Green: There is a probability of the player pulling out a green tile first. In this case we want to calculate the probability of the second tile being green, which would be
.
×
=
.
Blue: There is a probability of the first tile being blue in which case we are hoping for the second tile to be blue as well. The probability of the second tile being blue is
on its own, and them both being blue is
×
=
Adding +
+
we get the answer
.