Write using algebra.
2 answers:
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Given function f(x) which is described by "<span>Dawn writes 800 pages in 80 days".
From this function we can notice that Dawn writes 0 pages in 0 days, (i.e. the initial point of the function is point (0, 0).
Recall that the slope, m, of a line passing through points:
and 
is given by
Function f(x) passes through points (0, 0) and (80, 800).
Thus the slope of function f(x) is given by
Give function g(x), passing through points (2, -6) and (4, 12), the slope is given by
It can be seen that the slope of f(x) and the slope of g(x) are close.
</span>
From this function we can notice that Dawn writes 0 pages in 0 days, (i.e. the initial point of the function is point (0, 0).
Recall that the slope, m, of a line passing through points:
is given by
Function f(x) passes through points (0, 0) and (80, 800).
Thus the slope of function f(x) is given by
Give function g(x), passing through points (2, -6) and (4, 12), the slope is given by
It can be seen that the slope of f(x) and the slope of g(x) are close.
</span>
The amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.
<h3>How to find the percentage from the total value?</h3>Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
For this case, we're given that:
- Amonut Susan took out = $200
- Interest rate = 32% annually (interest rates are usually expressed in annual (yearly) terms).
- Amount paid off within 1 month
The interest was 32% annually, so in monthly terms, it would be 32/12 = 2.667% approx. (as there are 12 months in each year)
Since the balance was paid within one month, the interest would be simply 1 time calculated on the main balance.
Thus, we get:
Interest amount ≈ 2.667% of $200 =
Thus, the amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.
Learn more about percent here:
Answer:
2 solutions
Step-by-step explanation:
I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...
- x = 1
- x = 4
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To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:
3x(x -4) +5 -x -(2x -7) = 0
3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses
3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms
3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor
The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.
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<em>Alternate method</em>
Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...
d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c
d = (-15)^2 -4(3)(12) = 225 -144 = 81
This positive value means the equation has 2 real solutions.
