Answer:
$34
Step-by-step explanation:
I'd work backwards.
For the third book, she paid all her remaining money. The problem says she paid "1/2 her leftover money + $3". This means that: (let m = money used to buy book 3)
m = 1/2m + 3
1/2m = 3
m = 6
For the second book: (let n = money before book 2)
n - m (money left after book 2) = 1/2n + 2
1/2n +2 is money used up for book, which is the same as n-m.
n = 1/2n + 2 + m
1/2n = 2 + m = 2 + 6
1/2n =8
n = 16
For the first book, she spent 1/2 her money + 1. If o = money before book 1 (or the whole allowance):
o - n = 1/2o + 1
o = 1/2o + n + 1 = 1/2o + 16 + 1
1/2o = 17
o = 34
Check!
Spent 17 (half 34) + 1 on book 1
16 left
Spent 8 (half 16) +2 on book 2
6 left
Spent 3 (half 6) + 3 on book 3
0 left
Answer:
61
Step-by-step explanation:
(x2-x1)2 + (y2-y1)2
(5-0)2 + (-3-3)2
25+36= 61
square root of 61
Answer:
$182.60
Step-by-step explanation:
A. First, divide 1675 by 100 to find 1% of it.
1675 / 100 = 16.75
Then, multiply 16.75 by 4.6 to get 4.6%.
16.75 x 4.6 = 77.05
77.05 is the interest for one year.
Multiply it by 4 to get the interest for 4 years.
77.05 x 4 = 308.20
The interest earned is $308.20.
B. Add the interest to the original balance to get the total.
308.20 + 1675 = 1983.20
The balance of the account is $1983.20 after 4 years.
Hope this help!
Answer: 2.14 %
Step-by-step explanation:
Given : pH measurements of a chemical solutions have
Mean : 
Standard deviation : 
Let X be the pH reading of a randomly selected customer chemical solution.
We assume pH measurements of this solution have a nearly symmetric/bell-curve distribution (i.e. normal distribution).
The z-score for the normal distribution is given by :-
For x = 6.74
For x = 6.76
The p-value =
In percent, 
Hence, the percent of pH measurements reading below 6.74 OR above 6.76 = 2.14%
