Confused x^12y^5z^-9
1 answer:
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Answer:
The cost of tuition fee after 4 years is $15,149.72.
Step-by-step explanation:
Exponential function:
A= the amount after n years
P= Initial amount
r= rate of increasing
n= time in years
The cost of tuition at a college is $12,000. It is increasing at the rate of 6% each year.
Here, P= $12,000, r= 6%= 0.06, n= 4 years.
=$15,149.72
The cost of tuition fee after 4 years is $15,149.72.
Answer: the height of the pole is 16.1 m.
Step-by-step explanation:
The scenario is illustrated in the attached photo.
x represents the height of the pole.
y represents the distance from the foot of one stabilizing wire to the foot of the pole.
30 - y represents the distance from the foot of the other stabilizing wire to the foot of the pole.
In solving the triangles, we would apply the tangent trigonometric ratio which is expressed as
Tan θ, = opposite side/adjacent side.
Considering triangle ACD,
Tan 60 = x/y
x = ytan60 = y × 1.732
x = 1.732y- - - - - - - - -1
Considering triangle BCD,
Tan 38 = x/(30 - y)
x = (30 - y)tan38 = 0.781(30 - y)
x = 23.43 - 0.781y- - - - - - - - -2
Substituting equation 1 into equation 2, it becomes
1.732y = 23.43 - 0.781y
1.732y + 0.781y = 23.43
2.513y = 23.43
y = 23.43/2.513
y = 9.3
x = 1.732y = 1.732 × 9.3
x = 16.1 m
