Answer:
$7,440.
Step-by-step explanation:
We have been given the tax rates as follows:
$0-$11,000 = No tax.
$11,000-$43,000 = 20%.
$43,000-$150,000 = 40%.
Earnings over $150,000 = 45%.
Since last year Carys earned $45,600, so we will have to find the tax paid by her for 11,000-43,000 at rate of 20%, then the tax for amount over 43,000 at the rate of 40%.





Therefore, Carys paid an amount of $7,440 in tax.
To understand the algebra, go through the following equations below:
- First the thing to note is that the top square is the square of the bottom square: Stage 1: 1 &
, stage 2 = 2 &
, stage 3 = 3 & 
- Second image: Just add the two values above to get the total of tiles needed. For stage 5: 5 +
= 30, Stage 12: 12 +
= 156
Part B
- First equation : y =
+ n
- second equation: y = n + (n*n)
<h3>Meaning of algebra</h3>
Algebra is defined as a branch of mathematics that deals with variables, symbols and finding of these unknown using arithmetic operation such as ( +, -, *, ÷ )
Algebra is the study and understanding of mathematical symbols and how to manipulate them in mathematical problems and formulae.
In conclusion, the above are the solution to the questions on the attached image.
Learn more about algebra: brainly.com/question/22399890
#SPJ1
Answer:
(115.2642, 222.7358).
Step-by-step explanation:
Given data:
type A: n_1=60, xbar_1=1827, s_1=168
type B: n_2=180, xbar_2=1658, s_2=225
n_1 = sample size 1, n_2= sample size 2
xbar_1, xbar_2 are mean life of sample 1 and 2 respectively. Similarly, s_1 and s_2 are standard deviation of 1,2.
a=0.05, |Z(0.025)|=1.96 (from the standard normal table)
So 95% CI is
(xbar_1 -xbar_2) ± Z×√[s1^2/n1 + s2^2/n2]
=(1827-1658) ± 1.96×sqrt(168^2/60 + 225^2/180)
= (115.2642, 222.7358).
Answer:
1/6
Step-by-step explanation:
It is a 6 sided die, so you have 6 possibilities, so that is going to be you denominator.
There is only one number 2 on the die, so you have 1 as your numerator.
To obtain an estimate of a parameter of a population, we use confidence intervals.
Confidence intervals:
The larger the sample size, the closest the parameter estimate is to the value of the population, as the margin of error of confidence intervals is inversely proportional to the sample size, that is, a greater sample leads to a smaller margin of error.
Thus, you should select the highest sample size in the options.
For more on confidence interval/margin of error, you can check brainly.com/question/22718960