Using an exponential function, it is found that the population will be of 350 students in the year of 2039, 34.3 years after 2005.
What is an exponential function?An increasing exponential function is modeled according to the rule presented as follows:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which the parameters of the equation is defined as follows:
A(0) is the initial amount of the function.r is the growth rate of the function, as a decimal.In the context of this problem, the values of the parameters are given as follows:
A(0) = 127, which is the number of students in the reference year of 2005.r = 0.03, which is the yearly increase rate.Hence the equation for the number of students in t years after 2005 is given as follows:
[tex]A(t) = 127(1.03)^t[/tex]
The number will be of 350 students when A(t) = 350, hence:
[tex]A(t) = 127(1.03)^t[/tex]
[tex]350 = 127(1.03)^t[/tex]
[tex](1.03)^t = \frac{350}{127}[/tex]
[tex]\log{(1.03)^t} = \log{\left(\frac{350}{127}\right)}[/tex]
[tex]t\log{1.03} = \log{\left(\frac{350}{127}\right)}[/tex]
[tex]t = \frac{\log{\left(\frac{350}{127}\right)}}{\log{1.03}}[/tex]
t = 34.3 years.
34.3 years = during the year of 2005 + 34.3 = 2039. This result is shown by the graph at the end of the answer.
Missing InformationThe problem asks for when the population will be of 350 students.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
is 3/7 in lowest terms
Answer:
Yes
Step-by-step explanation:
Yes because because you can't simplify it more and it's just in fraction form decimal form the answer would be 0.42857142857143.
Find the value of x.
a) 21
b) 27
c) 31
d) 34
Answer:
21 is the answer
a question arises how?? right
so, 3x+1
3×21+1
63+1
64
Answer:
a) 21
Step-by-step explanation:
Since, in the figure
64° = (3x+1)° [Vertically Opposite Angles]
=> (3x+1)° = 64°
=> 3x = 64° - 1° = 63°
[tex] => x = \frac{63}{3} [/tex]
=> x = 21 (Ans)
In a store the number of dogs is 12 times greater than 3 times of cats. If there are 21 dogs in the store, how many cats are in the store?
Answer:
If you really meant that the number of dogs is 12 greater than 3 times the number of cats then:
3 cats
Step-by-step explanation:
21= number of dogs
c = number of cats
21 = 12 + (3c)
3c = 9
c = 3
Evaluate the expression when b=-7 and c=2.
b-6c
X 5
?
Answer:
-19
Step-by-step explanation:
-7 - 6(2) =
-7 - 12 =
-19
Which one is true pls answer
Answer:
C. All rectangles are quadrilaterals.
Step-by-step explanation:
Quadrilaterals are shapes that have 4 sides, so all rectangles are quadrilaterals, along with squares, rhombus' and other 4 sided shapes.
Ez points-
2.72 divided by 3
Answer:
2.72/3=0.907 (correct to three decimal places)
Step-by-step explanation:
Round The Following Number: 194,332.125
Answer:
The answer is 194000
Step-by-step explanation:
It is closer to 194000 than 195000
please help me asap!!
Answer:
3
Step-by-step explanation:
If it is 10 on the big one and 5 on the small ones it is half. So half of 6 is 3
Answer:
f=3
Step-by-step explanation:
5/10=x/6
10x=30
x=3
Can y’all help me please I need help
Answer:
503 inches (rounded to the nearest whole number)
Step-by-step explanation:
First, we must calculate the wheel's circumference, or in other words, the distance around the wheel. We can do this by using the below equation:
[tex]C=\pi d[/tex] when [tex]d[/tex] is the diameter
Because we know that the wheel's diameter is 16 inches, we can plug it into the equation:
[tex]C=\pi (16)\\C=16\pi[/tex]
Now, because we know that the wheel makes 10 revolutions, we calculate the distance it travelled by multiplying the circumference by 10.
[tex]16\pi *10\\= 160\pi[/tex]
[tex]= 503[/tex] inches when rounded to a whole number
Therefore, the wheel travelled approximately 503 inches.
I hope this helps!
PLEASE HELP PLEASEEEE
PLEASE I WILL GIVE YOU COOKIES.
Find the range of the function f(g)=3g-5 for the domain {-2,0,2}
{-9, -4, 5}
{-2, 0, 2}
{ -13, -7, -3}
{-11, -5, 1}
Answer:
option 4 {-11, -5, 1}
Step-by-step explanation:
range: set of output
f(-2)=3(-2)-5=-11
f(0)=3(0)-5=-5
f(2)=3(2)-5=1
Heather made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $23.60. If the beads
cost a total of $12.40, how much did each pendant cost?
Answer:
$2.80
Step-by-step explanation:
23.60 - 12.40 = 11.2
11.2 ÷ 4 = 2.80
$2.80
Classify each pair of numbered angles.
Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.
Answer:
1 and 2 adjacent
5 and 6 are linear pair
Step-by-step explanation:
Ani spent a total of $7.53 at a store. She bought some cereal for $3.67. She also bought 6 peaches.
If each peach cost the same amount, which equation can be used to find the cost of each peach, P?
A. P = $7.53-6
B. P = $3.67 6
C. P= $7.53 - ($3.67=0
D. P= ($7.53 - $3.67) = 6
E. P= ($7.53 + $3.67) = 6
Answer:
D
Step-by-step explanation:
It says she spent $7.53 at the store and she bought (SOME) cereal for $3.67
so we have to find how much the 6 peaches cost. To find it out we are going to have to subtract the cereal she bought from $3.67 and the money she wasted total so its going to be D.
Please help with this practice quiz!!
Answer:
slope is 9
Step-by-step explanation:
use the formula y=mx+b wherein m is the slope and b is the y-intercept
to solve for m, use formula (y2-y1)/(x2-x1):
[tex]\frac{127-1}{5-(-9)}[/tex] = [tex]\frac{126}{14}[/tex] (you add 5 and 9 together because negative + negative is positive)
126/14 = 9
Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).
Slope, m =-
y-intercept, b =7
7
Step-by-step explanation:
y = mx + b
y = -7x + 7
this assumes m = - 7 , it got chopped off, otherwise what ever slope is change the first 7 for that number.
Follow the steps to provide to answer the question
1. Find the greatest common factor of 8 and 12. 2. Use the Distributive Property and the greatest common factor to factor the expression &r-12 3.Write the equivalent expression.
Answer:
Step-by-step explanation:
1. Greatest Common Factor is the largest number that can be multiplied to get the product common to both product.
Factors of 8 Factors of 12
1 8 1 12
2 4 2 6
3 4
The GCF = 4
2. I need the expression rewritten in order to help you.
which is the product of 15 5\12 A. 5 5\12 B. 6 1\4 C. 7 1\12 D. 7 3\4
Answer:
6 1/4
HOPE THIS HELPS!!!!!
Plzzz help its easy points and easy question im just dum!! What is the slope view image below.
Answer:
0.5
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
It's okay, you're not dum, you might have just not payed attention in online class or you might have forgotten.
We can find the slope by using 2 coordinates that are on a line.
We can choose any of the coordinates from this table. I'm gonna use (0, 4) and (2, 5)
The formula for find the slope is the rise over the run or
y1 - y2 / x1 - x2
4 - 5 / 0 - 5
-1 / -5
1/5
The slope is 1/5
1. What is the range of frequencies a human ear can hear?
Answer:
Humans can detect sounds in a frequency range from about 20 Hz to 20 kHz.
(Human infants can actually hear frequencies slightly higher than 20 kHz, but lose some high-frequency sensitivity as they mature; the upper limit in average adults is often closer to 15–17 kHz.)
Question 3
Which reason below IS NOT one of the ways to prove that two triangles are congruent?
SSS
AAS
SAS
USSA
Answer:
Second one:
AAS
Step-by-step explanation:
searched it
Zher and Gabbie are making cookies for the Hospitable Pantry. They only have up to 6 hours to
bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an
hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?
Answer:
32x3=96. 20x3= 60. 60 + 96=156 if you make 3 hours of chocolate chip and 3 hours snickerdoodles you will have 156 cookies
Find (x + 4)(x2 + x - 2). Write your answer in standard form.
Answer please
Answer:
X^3 + 5x^2 + 2x - 8
Step-by-step explanation:
Help ASSp please work out the value of A
Answer:
A = 3x^2 - 3
---------------
2
Step-by-step explanation:
If the perimeter is 56 cm..
x - 1 + 3x + 3x + 1 = 56
7x = 56
x=8
The x - 1 side = 7
The 3x = 1 side - 25
The ex side = 24
The area of a triangle = base time height divided by 2.
So...
x-1 times 3x divided by 2 is your equation.
3x(x - 1) = 3x^2 - 3
A = 3x^2 - 3/2
Hope this is correct!!!
Hey guys I need help with this question. Solve the system by substitution: x=-1 and 4x+2y=16
If a dozen eggs cost $3.84 calculate the cost of 30 eggs
Answer:
a dozen is 12 so in this we find the unit rate which will be 3.84/12 which is $0.32 per egg now we multiply this by 30 which is $9.6 which is the cost for 30 eggs
THX mark me brainlyiest
I NEED THE ANSWER ASAPPP!!! help please
Answer:
Step-by-step explanation:
x^2 + 8^2 = 9^2
x^2 + 64 = 81
x^2 = 17
x = sqrt(17)
answer is D
distance formula is?
Answer:
what formula sorry cant help
Step-by-step explanation:
Answer:
[tex]d=\sqrt{(x2-x1)^{2} (y2-y1)^{2} }[/tex]
Step-by-step explanation:
This is what it is lol
Selena has been practicing archery at camp. In her first 20 attempts, she hut the target 12 times. Assume her success rate is the same in her next 100 attempts, how many times will she hit her target in 45 attempts
Answer:
22-23 I believe
sorry if it's wrong
What is the distance, in units, between A(-4,-4)and (0,-2)
Answer:
2√5 ≅ 4.47
Step-by-step explanation:
Who ever gets this right gets branliest
Answer:
2 1/2
Step-by-step explanation:
Answer: 2 1/2
Step-by-step explanation: Its positive and lands between 2 and 3 halfway