Answer:
6.5 inches
Step-by-step explanation:
Take the total 9.62 inches
Remove the 3.12 inches from the second week and there is your answer!
Answer:
$30
Step-by-step explanation:
Total amount paid by the hire purchase scheme:
$60 + 6 * $45 = $60 + $270 = $330
Total amount paid in just the cash price:
$300
Difference:
$330 - $300 = $30
Answer:
4/663
Step-by-step explanation:
There are 4 queens and 4 kings in a deck. Drawing a queen would be 4/52. Drawing a king afterwards with replacing the queen would be 4/51 because you took a queen but didn't replace that one queen card so the deck has only 51 cards left after you drew the queen. Drawing a queen would not affect your chance of drawing a king card, it will only affect the total number of cards left because you didn't replace the card afterwards. 4*4=16;52*51=2652. 16/2652 can be simplified to 4/663 by dividing 4 to both numbers. 16/4=4 and 2652/4=663. The probability of drawing a queen then a king without replacement would be 4/663.
Let
In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:
So, the base case is ok. Now, we need to assume 
and prove 
.
states that
Since we're assuming , we can substitute the sum of the first n terms with their expression:
Which terminates the proof, since we showed that
as required
Answer:
$75.60
Step-by-step explanation:
First, find the total cost without tax:
42 + 28
= 70
Then, to find the price with sales tax, multiply this by 1.08:
70(1.08)
= 75.6
So, the total cost of her purchases was $75.60
