Answer: igewuuuuuuuuuuuuuuuuuuuuuuuuudh.j
Step-by-step explanation:
With Calculator:
To work out the multiplier, take the percentage, divide by 100 and add 1
17.5% / 100 = 0.175
1 + 0.175 = 1.175
£50 x 1.175 = £58.75
Without Calculator:
First work out easy percentages of 50 (if needed use previous answers (such as 10) to work out smaller percentages (such as 5%))
100% = 50
10% = 5
5% = 2.5
2.5% = 1.25
10% + 5% + 2.5% = 17.5%
5 + 2.5 + 1.25 = £8.75
Add this on to the original price:
£50 + £8.75 = £58.75
The total price, including VAT, is £58.75
Using linear functions, the inequality that represents when Gilberta has more wallpaper left in her room than María has in hers is: t < 5.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For this problem, we consider:
- The initial amount as the y-intercept.
Hence the amounts Gilberta and Maria have left after t hours are given by:
Gilberta has more papers when:
G(t) > M(t).
Hence:
35 - 4.3t > 30.5 - 3.4t
-0.9t < -4.5
Multiplying by -1:
0.9t < 4.5
t < 4.5/0.9
t < 5.
Hence the inequality is:
t < 5.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
Step-by-step explanation:
The time intervals are [0.00, 0.10], [0.10, 0.30], and [0.30, 0.60].
The rate of change in each interval is the slope of the line between the endpoints:
m = [f(b) − f(a)] / (b − a)
Filling out the table:
![\left[\begin{array}{ccc}Time (s)&Height (ft)&Rate\ of\ change(ft/s)\\0.00&96.44\\&&\frac{97.60-96.44}{0.10-0.00}=11.6 \\0.10&97.60\\&&\frac{98.57-97.60}{0.30-0.10}=4.85\\0.30&98.57\\&&\frac{98.30-98.57}{0.60-0.30}=-0.90\\0.60&98.30\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7DTime%20%28s%29%26Height%20%28ft%29%26Rate%5C%20of%5C%20change%28ft%2Fs%29%5C%5C0.00%2696.44%5C%5C%26%26%5Cfrac%7B97.60-96.44%7D%7B0.10-0.00%7D%3D11.6%20%5C%5C0.10%2697.60%5C%5C%26%26%5Cfrac%7B98.57-97.60%7D%7B0.30-0.10%7D%3D4.85%5C%5C0.30%2698.57%5C%5C%26%26%5Cfrac%7B98.30-98.57%7D%7B0.60-0.30%7D%3D-0.90%5C%5C0.60%2698.30%5Cend%7Barray%7D%5Cright%5D)
The intervals are already in order from greatest to least. Simply reverse the order to get least to greatest:
[0.30, 0.60]
[0.10, 0.30]
[0.00, 0.10]
