Answer:
Option C.The decrease in the value of the motorcycle, which is 9%
Step-by-step explanation:
we have a exponential function of the form

where
a is the initial value
b represents growth or decay factor
If b >1 then it is an exponential growth
if 0<b<1 then it is an exponential decay
In this problem
a=$19,000
b=0.91 -----> it is exponential decay factor
Find the rate of decrease r
b=(1-r)
substitute
0.91=1-r
r=1-0.91=0.09
Convert to percentage
0.09*100=9%
therefore
0.91 represent the decrease in the value of the motorcycle, which is 9%
Answer:
bottom of graph will move from (0,0) to point (1,3) after transformation
Step-by-step explanation:
given
original : f(x) = 
transformed; g(x) =
+ 3
look at this way g(x) =
+ k
if (x-h), h>0, move h units to the right
if k>0, move k units up
the bottom of the graph will be at point (1,3)
5x - y = -4 is the standard form
Answer:
41cm
Step-by-step explanation:
The circumference of a circle is 82π
Therefore r can be calculated as follows
2 × π × r= 82× π
2πr= 82π
r = 82π/2π
r= 41
Hence r is 41cm
Answer:
ABQ = 139
BCR is the same as QBC since they are alternate interior angles
BCR = 41
Step-by-step explanation:
CBQ and SCB are same side interior angles so they add to 180
2a-9 + 5a +14 = 180
Combine like terms
7a +5 = 180
Subtract 5 from each side
7a = 175
Divide by 7
7a/7 = 175/7
a = 25
ABQ is the same as SCB since they are corresponding angles so
ABQ = SCB = 5a+14 = 5*25+14 = 125+14 = 139
BCR is the same as QBC since they are alternate interior angles
BCR = QBC = 2a-9 = 2*25 -9 = 50-9 = 41