Answer:
1) y = 0.3x + 1000
2) slope = 0.3
The slope is the fraction of the monthly sales that is added to your salary.
3) y-intercept = 1000
The y-intercept is the fixed part of the salary, $1000.
4) The salary is $2500
Step-by-step explanation:
1)
monthly salary = fixed part + variable part
The fixed part is $1000. Every month you receive $1000 no matter the amount of sales.
The variable part varies according to the amount of sales. You get 30% of the of the monthly sales. Let the monthly sales be x. The variable part is 0.3x
Let the monthly salary = y.
y = 1000 + 0.3x
y = 0.3x + 1000
2)
slope = 0.3
The slope is the fraction of the monthly sales that is added to your salary.
3)
y-intercept = 1000
The y-intercept is the fixed part of the salary, $1000.
4)
In this case, x = 5000
y = 0.3x + 1000
y = 0.3(5000) + 1000
y = 1500 + 1000
y = 2500
The salary is $2500.
Answer:
Step-by-step explanation:
at the center of it's gravity
35/12. When you multiply the operation this is the answer you get.
There are 651.335 million cells in the petri dish after 11 hours and the cells will reach 1 billion cells after 14.068 hours
<h3>How to determine the number of cells after 11 hours?</h3>
The given parameters are:
At t = 0, Bacteria = 140 million
At t = 6, Bacteria = 320 million
This can be represented as:
f(0) = 140
f(6) = 320
An exponential function is represented as:
f(t) = f(0) * r^t
When t = 6, we have:
320 = 140 * r^6
Divide both sides by 140
r^6 = 2.28571428571
Take the 6th root of both sides
r = 1.15
So, we have:
f(t) = f(0) * 1.15^t
Substitute f(0) = 140
f(t) = 140 * 1.15^t
After 11 hours, we have:
f(11) = 140 * 1.15^11
Evaluate
f(11) = 651.33
Hence, there are 651.335 million cells in the petri dish after 11 hours
Time to reach 1 billion cells
This means that
f(t) = 1 billion i.e. 1000 million
So, we have:
1000 = 140 * 1.15^t
Divide by 140
1.15^t = 7.14285714286
Take the logarithm of both sides
t * log(1.15) = log(7.14285714286)
Divide both sides by log(1.15)
t = 14.068
Hence, the cells will reach 1 billion cells after 14.068 hours
Read more about exponential functions at:
brainly.com/question/2456547
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Answer:
373.8mmHg
Step-by-step explanation:
a =height (in km) above sea level,
the pressure P(a) (in mmHg) is approximated given as
P(a) = 760e–0.13a .
To determine the atmospheric pressure at 5.458 km, then we will input into the equation
P(5.458km) = 760e–0.13a .
= 760e^(-0.13×5.458)
=760e^-(0.70954)
= 760×0.4919
=373.8mmHg
Therefore, the atmospheric pressure at 5.458 km is 373.8mmHg
