Jocelyn makes more than $195 but not over $645. The amount she has to pay is 15% of the excess of 196. Find this first via subtraction.
421 - 195 = $226 over
Take 15% of this
226 x .15 = $33.9
The tax also includes a $14.4 addition to this 15%.
33.9 + 14.4 = $48.3 total income tax
Answer:
7 years
Step-by-step explanation:
Suri's age=17 years
Her cousin's age =c
Suri's age is 4 less than 3 times her cousin's age
4 less than 3 times her cousin's age means subtract 4 from 3 times her cousin's age
17=3c - 4
Find c which is her cousin's age
Add 4 to both sides
17+4=3c - 4 + 4
17+4=3c
21=3c
Divide both sides by 3
21/3=3c/3
7=c
Therefore,
C= 7
Her cousin's age = 7 years
Answer: The percentage of legal quarters will be rejected by the vending machine = 2.275%
Step-by-step explanation:
Given: The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram.
Let x be the weights of legal U.S. quarters .
Required probability: 
![=P(\dfrac{x-\mu}{\sigma}\dfrac{5.81-5.67}{0.07})\\\\=P(z2)\approx0.02275 \ \ \ [By\ P-value\ calculator]](https://tex.z-dn.net/?f=%3DP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3C%5Cdfrac%7B5.33-5.67%7D%7B0.07%7D%29%2BP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B5.81-5.67%7D%7B0.07%7D%29%5C%5C%5C%5C%3DP%28z%3C-4.857%29%2BP%28z%3E2%29%5Capprox0.02275%20%20%20%20%5C%20%5C%20%5C%20%5BBy%5C%20%20P-value%5C%20calculator%5D)
The percentage of legal quarters will be rejected by the vending machine = 2.275%
that differences are that mass is a measurement of the amount of matter something contains and mass is measured by using a balance comparing a known amount of matter to an unknow of matter
Answer:

Step-by-step explanation:
We have been given that the rectangle has an area of
square meters and a length of
. We are asked to find the width of rectangle.
Since we know that area of a rectangle is width times length of the rectangle, so we can find width of our given rectangle by dividing given area by length of rectangle.



Upon substituting our given values in above formula we will get,


Using exponent rule for quotient
we will get,


Therefore, width of our given rectangle will be 9x meters.