A price was increasing at a rate of 15% per year.

2 answers:

5 0

The monthly growth rate is the annual growth rate divided by 12, because there are 12 months in a year.

monthly rate = 15% ÷ 12
monthly rate = 15/100 ÷ 12
monthly rate = 15/100 × 1/12
monthly rate = 15/1,200
monthly rate = 1.25/100
monthly rate = 1.25%

The monthly growth rate is 1.25% or approximately 1.3%
Enter 1.3 in the box

Mariulka [41]2 years ago

4 0

Answer:

1.3

Step-by-step explanation:

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I'd say Yana has 6...

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1 year ago

Two tangents drawn to a circle from a point outside it, are equal in length.prove it.<br>

stiks02 [169]

Given: A circle with centre O; PA and PB are two tangents to the circle drawn from an external point P.
To prove: PA = PB
Construction: Join OA, OB, and OP.
It is known that a tangent at any point of a circle is perpendicular to the radius through the point of contact.
OA⊥PA
OB⊥PB
In △OPA and △OPB
∠OPA=∠OPB (Using (1))
OA=OB (Radii of the same circle)
OP=OP (Common side)
Therefor △OPA≅△OPB (RHS congruency criterion)
PA=PB
(Corresponding parts of congruent triangles are equal)
Thus, it is proved that the lengths of the two tangents drawn from an external point to a circle are equal.
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1 year ago

Write an equation that represents a horizontal translation 10 units left of the graph of g(x) = |x|

Vika [28.1K]

Answer: h(x) = |x+10|

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Explanation:

To shift the graph 10 units to the left, we replace x with x+10. What's really going on is that the xy axis shifts 10 units to the right (because x is now x+10; eg, x = 2 ---> x+10 = 2+10 = 12) so it appears that the graph is moving to the left. The general rule is h(x) = g(x+10).

So,
g(x) = |x|
g(x+10) = |x+10| ... every x has been replaced with x+10
h(x) = g(x+10)
h(x) = |x+10|

We can use a graphing tool like GeoGebra to visually confirm we have the right answer (see attached). Note how a point like (0,0) on the green graph moves to (-10,0) on the red graph.