20 points!!!! Freya is collecting 50p and £1 coins. When she has 18 coins the value of them is £13.
1 answer:
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Answer:
x ≈ {0.653059729092, 3.75570086464}
Step-by-step explanation:
A graphing calculator can tell you the roots of ...
f(x) = ln(x) -1/(x -3)
are near 0.653 and 3.756. These values are sufficiently close that Newton's method iteration can find solutions to full calculator precision in a few iterations.
In the attachment, we use g(x) as the iteration function. Since its value is shown even as its argument is being typed, we can start typing with the graphical solution value, then simply copy the digits of the iterated value as they appear. After about 6 or 8 input digits, the output stops changing, so that is our solution.
Rounded to 6 decimal places, the solutions are {0.653060, 3.755701}.
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A similar method can be used on a calculator such as the TI-84. One function can be defined a.s f(x) is above. Another can be defined as g(x) is in the attachment, by making use of the calculator's derivative function. After the first g(0.653) value is found, for example, remaining iterations can be g(Ans) until the result stops changing,
See attached graph.
The y-intercept is (0, 1), since the line is at that point when it intersects with the y-axis.
The common ratio is 1/4, since the y value multiplies by 1/4 for each unit on the x-axis.
The y-intercept is (0, 1), since the line is at that point when it intersects with the y-axis.
The common ratio is 1/4, since the y value multiplies by 1/4 for each unit on the x-axis.
Saving of $2.10 is made by buying fleece vest on sale.
<u>Solution:</u>
Given that regular price of fleece vest = $15.99
And sale price of fleece vest = $13.99
Sales tax = 5%
When we buy at regular price, total amount including sales tax which needs to be paid is:
= 15.99 + 5% of 15.99
When buy at sales price, total amount including sales tax which needs to be paid that is
Hence saving of $2.10 is made by buying fleece vest on sale.