Find the rate of interest per annum when 1. P= 900 T= 2 years S.l. = 90

Mathematics

1 answer:

Bas_tet [7]4 years ago

6 0

Answer:

5% p.a will rate of interest

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A line contains points (4,2) and (0,-1). Wha is the equation of the line

MAVERICK [17]

The equation to find the slope is
$m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ - 1 - 2}{0 - 4} \\ m = \frac{ - 3}{ - 4} \: or \: \frac{3}{4}$
now you have to use the point-slope formula
$y - y1 = m(x - x1) \\ y - ( - 1) = \frac{3}{4} (x - 0) \\ y + 1 = \frac{3}{4} x \\ y = \frac{3}{4} x - 1$
the equation of the line is
$y = \frac{3}{4} x - 1$

3 0

4 years ago

PLS PLS help!

Leto [7]

9514 1404 393

Answer:

y = 3x^2 +30x +69

Step-by-step explanation:

Transformations work this way:

g(x) = k·f(x) . . . . vertical stretch by a factor of k

g(x) = f(x -h) +k . . . . translation (right, up) by (h, k)

So, the translation down 2 units will make the function be ...

f(x) = x^2 ⇒ f1(x) = f(x) -2 = x^2 -2

The vertical stretch by a factor of 3 will make the function be ...

f1(x) = x^2 -2 ⇒ 3·f1(x) = f2(x) = 3(x^2 -2)

The horizontal translation left 5 units will make the function be ...

f2(x) = 3(x^2 -2) ⇒ f2(x +5) = f3(x) = 3((x +5)^2 -2)

The transformed function equation can be written ...

y = 3((x +5)^2 -2) = 3(x^2 +10x +25 -2)

y = 3x^2 +30x +69

The attachment shows the original function and the various transformations. Note that the final function is translated down 6 units from the original. That is because the down translation came before the vertical scaling.