Answer:
Option D. 17%
Step-by-step explanation:
we have

This is a exponential function of the form

where
a is the initial value
b is the base
In this problem
a=250,000 people
b=1.17
Remember that
b=1+r
so
1+r=1.17
r=1.17-1=0.17
Convert to percentage
0.17*100=17%
Answer:
D) 14 seconds
Step-by-step explanation:
First we will plug 500 in for y:
500 = -4.9t² + 120t
We want to set this equal to 0 in order to solve it; to do this, subtract 500 from each side:
500-500 = -4.9t² + 120t - 500
0 = -4.9t²+120t-500
Our values for a, b and c are:
a = -4.9; b = 120; c = -500
We will use the quadratic formula to solve this. This will give us the two times that the object is at exactly 500 meters. The difference between these two times will tell us when the object is at or above 500 meters.
The quadratic formula is:

Using our values for a, b and c,

The two times the object is at exactly 500 meters above the ground are at 5 seconds and 19 seconds. This means the amount of time it is at or above 500 meters is
19-5 = 14 seconds.
Answer:
The set is called a null set
Step-by-step explanation:
Because it has no members
Answer:
(2x • 5x) + (2x • -2)
Step-by-step explanation:
I think that's what you're looking for, you just distribute the 2x to both of the numbers in the parathesis
The woman is 6 foot tall
<h3>What is proportion?</h3>
Proportion can be defined as the mathematical comparison of two numbers.
These numbers could be numbers, elements, set or people
From the information given, we have that;
- The globe is 3 feet and casts a shadow of 8ft
- The woman cast a shadow of 16ft and is x feet tall
So,
if the globe is 3 foot tall and casts a shadow of 8ft
Then the woman is x foot tall to cast a shadow of 16ft
cross multiply
8x = 24
Make 'x' the subject
x = 48/ 8
x = 6 foot
Thus, the woman is 6 foot tall
Learn more about proportion here:
brainly.com/question/1781657
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