<span>i=prt
where i is interest (9000-6000 = $3000 interest)
p is principle ($6000)
r is rate (5.5%) [taking that its 5.5%pa]
t is time
substitute these into the equation
3000 = $6000 x 5.5% x t
t = 3000 divided by (6000x5.5%)
= 3000 divided by 330
t=100/11 years
it would take 100/11 years which is approx 9.1 years</span>
Answer:
The length of rope is 20.0 ft . Hence, <u>option (1) </u> is correct.
Step-by-step explanation:
In the figure below AB represents pole having height 10 ft and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.
The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.
In right angled triangle ABC with right angle at B.
Since we have to find the length of rope that is the value of side AC.
Using trigonometric ratios


Putting values,

We know, 

On solving we get,
AC= 20.0 ft
Thus, the length of rope is 20.0 ft
Hence, <u>option (1)</u> is correct.
Answer:
The equation of line is: 
Step-by-step explanation:
We need to find an equation of the line that passes through the points (-6, -2) and (-3, 2)?
The equation of line in slope-intercept form is: 
where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding Slope
Slope can be found using formula: 
We have 
Putting values and finding slope

So, we get slope: 
Finding y-intercept
Using point (-6,-2) and slope
we can find y-intercept

So, we get y-intercept b= 6
Equation of required line
The equation of required line having slope
and y-intercept b = 6 is

Now transforming in fully reduced form:

So, the equation of line is: 
Start from the parent function 
In the first case, you are computing

In the second case, you are computing
, you translate the function horizontally,
units left if
and
units right if
.
On the other hand, when you transform
, you translate the function vertically,
units up if
and
units down if
.
So, the first function is the "original" parabola
, translated
units right and
units up. Likewise, the second function is the "original" parabola
, translated
units left and
units down.
So, the transformation from
to
is: go
units to the left and
units down