The population of a town is 2500 and is decreasing at a rate of 3.5% per year. Use an exponent function to find the population of the town after 5 years
Answer:
2099
Step-by-step explanation:
The formula for Exponential Decrease is given as:
P(t) = Po × e ^-rt
Where
r = Decrease rate = 3.5% = 0.035
t = time in years = 5 years
Po = Initial population = 2500
P(t) = Current Population after t years
Hence:
P(t) = 2500 × e^ -(5 × 0.035)
P(t) = 2500 × e^-0.175
P(t) = 2098.6425519
Approximately = 2099
The population of the town after 5 years = 2099
2. Music A music downloading website reports that nearly 5 out of every 7 songs
downloaded are classified as pop music. According to this information, predict
how many of the next 500 songs downloaded will be pop songs. Round your
answer to the nearest whole number.
Now, this is a story all about how
My life got flipped-turned upside down
And I'd like to take a minute
Just sit right there
I'll tell you how I became the prince of a town called Bel Air
In west Philadelphia born and raised
On the playground was where I spent most of my days
Chillin' out maxin' relaxin' all cool
And all shootin some b-ball outside of the school
When a couple of guys who were up to no good
Started making trouble in my neighborhood
I got in one little fight and my mom got scared
She said 'You're movin' with your auntie and uncle in Bel Air'
PLEASE HELP ME
Factor the quadratic equation x2 + 2x – 15 into the following format: (x + a) (x -b)
Answer:
(x+5) (x-3)
Step-by-step explanation:
5 times -3= -15
5 + -3 = 2
could you help me with this
Answer: 40
Step-by-step explanation:
All you have to do is divide it. However, the actual answer is 40.5, but I'm sure that they round it.
Answer:
There would be 40
Step-by-step explanation:
Tell which number is greater.
1/3, 30%
5 pts
Question 17
A right triangle has a base of 3m and a height of 4m. What is the area of
the triangle if it has been dilated by a scale factor of 2?
*Hint: Area =
base height
2
O 12m
O 24m
O 10m
O 6m
9514 1404 393
Answer:
(b) 24 m²
Step-by-step explanation:
After dilation by a factor of 2, the base is 2×3 m = 6 m, and the height is 2×4 m = 8 m. Then the area of the dilated triangle is ...
A = 1/2bh
A = 1/2(6 m)(8 m) = 24 m²
I thought of a 2-digit number. It's a multiple of 9 and the sum of its digits is five times smaller than the number itself. What is my number?
Step-by-step explanation:
Since the sum of the digits must be an integer, the number itself must also be a multiple of 5.
Lowest common multiple of 5 and 9 = 45.
Therefore the number could be 45 or 90.
5(9 + 0) =/= 90, so 90 is incorrect.
Since 5(4 + 5) = 45, 45 is the answer.
Answer: 45
Step-by-step explanation:
We know that it has to be a 2-digit number. Its the multiple of 9. We see there is a number in the question. Five. I simply took 9 and multiplied it by 5 which gave me a total of 45.
A= 1/2 π r ^2 solve for pi
Answer:
Well thats pretty easy. the answer is non-determineable
Step-by-step explanation:
prove me wrong
The solution for pi is π = 2A/r² where r is the radius.
What is the area of a circle?The area of a circle is defined as the space occupied by the circle in a two-dimensional plane. In other word, the space occupied under the region or circumference of a circle is called the area of the circle.
The formula for the area of a circle is A = πr²,
Where r is the radius of the circle.
For example, if the radius of circle is 6cm, then its area will be: Area of a circle with 6 cm radius = πr² = π(6)² = 36π square cm.
Given data as :
A = 1/2 πr²
Solve for pi
⇒ A = 1/2 πr²
Multiply by 2 both the side
⇒ 2A = πr²
⇒ 2A/r² = π or
⇒ π = 2A/r²
If A = 76 cm² and π = 22/7,
⇒ A = πr²
⇒ A/π = r²
⇒ √A/π = r
Substitute the values, we have:
⇒ √76 /(22/7) = r
⇒ √76 * 7/22 = r
⇒ √532/22 = r
⇒ √24.1818 = r
⇒ 4.917 = r
⇒ r = 4.92 cm (Rounding to two decimal places)
Learn more about the area of the circle here:
brainly.com/question/11952845
#SPJ2
The question seems to be incomplete the correct question would be
If A = 76 cm² and π = 22/7, what is the value of r in centimeters?
10/9 in simplest form pls
[tex]1\frac{1}{9}[/tex]
A pulley rotates through 107° in one minute. How many rotations does the pulley make in an hour!
The pulley makes rotations per hour.
(Simplify your answer. Round to the nearest whole number.)
Answer:
18 rotations.
Step-by-step explanation:
As there are 360 degrees in a circle, by proportion, the time for 1 rotation
= (360/107) * 1
= 3.364 minutes.
So the number of rotations in 1 hour (60 minutes)
= 60 / 3.364
= 17.83
Number of rotations does the pulley make in an hour is 18.
Here,
A pulley rotates through 107° in one minute.
What is rotations?
The action or process of rotating on or as if on an axis or center.
Now,
As there are 360° in a circle, by proportion;
Time for one rotation = (360/107) x 1
= 3.364 minutes
Hence, number of rotations in 1 hour
= 60 / 3.364
= 17.83
So, Number of rotations does the pulley make in an hour is 18.
Learn more about the Rotations visit:
https://brainly.in/question/39626227
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Which expression can you simplify by combining like terms?
6d2+5cd−3dc+8
12c2−8d2c+3dc+4
7d2−3c2+6d−c
16c2+8cd+7c−8d
Answer:
[tex]6 {d}^{2} + 5cd - 3dc + 8[/tex]
Step-by-step explanation:
b/c we can substructure 5cd and 3dc b/c it doesn't matter if the place of cd and dc change. what I mean if 5 ×3=15 and it is the same with 3×5=15 both of the product are the same but, if it is - and ÷ it wil be wrong for example 5-3=2 but 3-5= -2
if is helpful ❤❤
THANK YOU
Decide whether the graph shown below is a function or not.
A) yes, its a function
B) No, it is not a function
Answer:
its b
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
because it does not pass the vertical line test
if g(x) = -3x +1 fill out the following table of values
Answer:
-3 (-6)+1
18 +1
19
-3 (-2) +1
6 +1
7
-3(0)+1
0+1
1
-3(2) +1
-6 +1
-5
-3(6) +1
-18 +1
-17
Step-by-step explanation:
you plug in the numbers for x into the equation and solve, and that's the value that goes into the box below the number you just plugged in
What is the total surface area of this cylinder? (WILL GIVE BRAINLIEST) Help needed ASAP.
Answer:
1539.38
Step-by-step explanation:
a=2 pi r squared +h(2 pi r)
7 is the diameter
and 28 inches is the height
pls mark as brainliest!!!
I don't even understand this, if you could help me answer and explain that would be awesome.
2³=8
so answer is 2
use calculator incase you have one
but my answer totally correct worry less and input
If you invent something, you have ____
A commenced something
B devise something
C originated something
D discover something
Don’t answer if u don’t know
Answer:
here are the definitions of each..
Step-by-step explanation:
Commence: begin; start
Devise: plan or invent (a complex procedure, system, or mechanism) by careful thought.
Originated: create or initiate (something).
Discover:find (something or someone) unexpectedly or in the course of a search.
so it cant be A of D so it would have to be B of C but i think the best answer is C
Answer:
If you invent something, you have ____
the answer is
C) originated something
60% of what number is 880?
Answer:
1466.666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
Step-by-step explanation:
anyone know the answer??
Answer
[tex]3.5 x 10^{3}[/tex]
Step-by-step explanation
ANSWER NOW AND YOU GET 12 and ill answer one of ur questions
Answer Im going to geuss the last, Im not sure but it looks right.
Step-by-step explanation: heres my question--> https://brainly.com/question/20473783
John hit a golf ball from the ground and it followed the projectile h(t)=-16t²+100t+0, where is the time in seconds, and ℎ is the height of the ball. Use the quadratic formula to solve the two roots. These represent the 2 times that the ball is on the ground. At what time does the golf ball land? What is the max height of the golf ball? At what time (t) is the golf ball at the maximum height?
Answer:
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
Step-by-step explanation:
Step(i):-
Given
h(t)=-16t²+100t ...(i)
Differentiating equation (i) with respective to 't'
[tex]\frac{dh}{dt} = -16(2t) + 100 (1)[/tex]
-32t + 100 =0
⇒ -32 t = -100
[tex]t = \frac{100}{32} = \frac{25}{8} = 3.125[/tex]
t = 3.125 > 0
Step(ii):-
Given h(t) = -16t²+100t = 0
t ( -16 t + 100 ) =0
t =0 and -16t = -100
t =0 and t = 6.25
Step(iii):-
h(t) = -16t²+100t ...(i)
put t=0 in equation (i)
h(0) = 0
put t = 3.125 in equation (i)
h(t) = -16(3.125)²+100(3.125)
h (t) = 156.25
Put t = 6.25
h(t) = -16(6.25)²+100(6.25)
= 0
The maximum value h(t) = 156.25 at 3.125
final answer:-
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
a) complete the table of values of y=6-2x
b) draw the graph on the grid
c) solve 6- 2x = 3
what is the rate of change for the function y= 5x+ 25
Answer:
5
Step-by-step explanation:
100% right!!
Answer:
5 or -5
Step-by-step explanation:
rate of change is the same thing as slope (or m)
will got 17 out of 25 questions correct on his driving test what percent correct did he get on the test?
Answer:
68%
Step-by-step explanation:
[tex]\frac{17}{25} = \frac{68}{100}[/tex] [tex]\frac{68}{100}[/tex] = 68%I hope this helps!
227.4 + 213.5
513.9 – 46.1
348.2 + 62.8
637.9 – 206.3
Step-by-step explanation:
227.4 + 213.5 = 440.9
513.9 – 46.1 = 467.8
348.2 + 62.8 = 411
637.9 – 206.3 = 431.6
Answer:
1: 440.9
2: 467.8
3: 411
4: 431.6
Hope this helps.
Answer:
1. 440.9
2. 467.8
3. 411
4. 431.6
Step-by-step explanation:
GIVING BRAINLEST FOR CORRECT ANSWER
(On select it says
"IS" or "Is Not")
Answer:
Is
Step-by-step explanation:
A traffic engineer records a sample of the types of vehicles that cross a bridge. She counts 112 passenger cars, 18 light trucks, and 20 heavy trucks.
What is the APPROXIMATE probability that a random vehicle crossing the bridge is a passenger car?
Answer:
The approximate probability that a random vehicle is a passenger car is 74.67%
Step-by-step explanation:
Probability
The traffic engineer records 112 passenger cars, 18 light trucks, and 20 heavy trucks. The total of vehicles recorded is n=112+18+20 = 150.
We are required to find the probability that a randomly selected vehicle crossing the bridge is a passenger car. There are 112 passenger cars, thus the probability is:
[tex]\displaystyle p=\frac{112}{150}[/tex]
p = 0.7467
p = 74.67%
The approximate probability that a random vehicle is a passenger car is 74.67%
the ratio of the measures of the side lengths of a quadrilateral is 2:3:5:4. the perimeter is 154 feet. find the length of the shortest side.
6. Two sides of a right triangle are 8" and 12".
A. Find the the area of the triangle if 8 and 12 are legs.
Answer:
a
Step-by-step explanation:
60% is equal to what fraction in simplest form?
Answer:
3/5
Step-by-step explanation:
60 percent is the fraction 60/100 and simplifyping that by ten is 6/10
6/10 divided by two is 3/5
What is the equation of the line?
A) y=34x−1
B)y=34x+1
C)y=43x−1
D)y=43x+1
Answer:
B
Step-by-step explanation:
not so sure but see if this is correct