Answer:
16 problems.
Step-by-step explanation:
100% divided by 20 questions.
100/20 is equal to 5, therefore each question is worth 5 points.
Grade of 80% divided by points per question.
80/5 is 16 so the student answered 16 questions correctly.
In order to solve this problem, you need to use a geometric series:

where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5
Therefore,
<span>

= 219783.60 $
Luke's total earnings in five years are
<span>
219783.60 $.</span>
</span>
144 is the lowest hoped this helped
Let
x--------> the border’s length
y--------> the border’s width
P--------> perimeter of the border
we know that
x=5+y------> equation 1
P=2*[x+y]-----> P=2x+2y
P <=180 ft
(2x+2y) <= 180-------> equation 2
substitute the equation 1 in equation 2
2*[5+y]+2y <= 180
10+2y+2y <= 180
4y <= 180-10
4y <=170
y <=42.5 ft
so
the maximum value of the width is 42.5 ft
for y=42.5 ft
x=42.5+5------> x=47.5 ft
the answer is
the width of the border is less than or equal to 42.5 ft
The required relationship shown by the graph is the exponential relationship
. Option a is correct,
Given that,
A graph has been shown, showing the data, what is the relationship between the number of bacteria with time is to be determined.
<h3>What is a graph?</h3>
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Since the recorded value from the graph is
At, t = 1 ; n = 2
At t = 2 ; n = 4
At t = 3 ; n = 8
At t = 4 ; n = 16
At t = 5 : n = 32
Here the above data show the exponential relation between n and t with the base value 2 i.e.
Thus, the required relationship shown by the graph is the exponential relationship of
. Option a is correct,
Learn more about graphs here:
brainly.com/question/16608196
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