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
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what is the area of a figure what is the area of a figure with a 16 inch base a 10 inch base and a height of 8 in on the left and 6in on the right
1
Add or subtract and simplify. *
(3d + 5) + (40 – 1)
The senior class is making T-shirts as a fundraiser. The material needed to make each T-shirt costs $3.75. The students sell each shirt for $10.To increase sales, the students spend $350 on advertising. How many t-shirts must the students sell to breakeven?
Answer:
the number of t-shirts sold to breakeven is 56 t-shirts
Step-by-step explanation:
The computation of the number of t-shirts sold to breakeven is shown below:
= Fixed cost ÷ (Selling price - cost price)
= $350 ÷ ($10 - $3.75)
= $350 ÷ 6.25
= 56 t-shirts
Hence, the number of t-shirts sold to breakeven is 56 t-shirts
Compare the fractions using >,<, or = 3/15 and 1/3
Answer:
3/15 < 1/3
Step-by-step explanation:
We have two fractions, 3/15 and 1/3. The question is asking us to compare them using the less than sign <, greater than sign >, or equal sign =.
To solve this question, what we must do is try to get both fractions the same denominators, which will be done through multiplying 3 by a certain number to get to 15, then doing the same for the numerator.
So what multiplied by 3 gets us 15?
5.
Multiply both the numerator and denominator by 5.
[tex]\frac{1*5}{3*5}[/tex]
[tex]\frac{5}{15}[/tex]
Now that they both have the same denominator, we can compare and see which is bigger.
5/15 (1/3) and 3/15.
By this we can see that 3/15 is less than 5/15.
Therefore 3/15 < 1/3
which phrases represent the expression k/2 - 5
Answer:
K over two minus five
Step-by-step explanation:
I think?
I need help!!!!! Solve for n 6n=72
Answer:
6n=72
n=72/6
n=12
.....................
Answer:
n = 12
Step-by-step explanation:
n = 72÷ 6
n = 12
thats the answer
These are congruent. What is the measurement of E?
Answer:
44º
we know the angle measures of angles G and F; they match up with angles L and M meaning angle K is congruent to angle E
Can y’all help pls ;)
Answer:
A. 5x+6
Step-by-step explanation:
-[tex]\frac{1}{3}[/tex](9x-18)+8x
-3x+6+8x (multiply across the -1/3)
5x+6 (combine 8x and -3x)
The length of each side of an equilateral triangle is increased by 6 inches, so the perimeter is now 60 inches. What was the original length of each side of the equilateral triangle?
Answer:
14 inches
Step-by-step explanation:
Using this information, we can form an equation.
Since there are 3 sides in a triangle, and each side increased by 6, that means that the perimeter increased by 18 inches. Down below, I did 3x because there are 3 sides in a triangle.
(This is the equation you'd want to do to get the answer)
3x + 3 * 6 = 60
Simplify:
3x + 18 = 60
Same to both sides
3x = 42
Isolate x:
x = 14
Let me know if you have any questions
divide 345609875by 13
Answer:
26585375
Step-by-step explanation:
4-58. Lisa plans to retire on her 61st birthday. On her
22nd birthday, Lisa will start saving SA per year for
40 years. Starting on her 62nd birthday, Lisa plans on
withdrawing $10,000 and will continue these annual
withdrawals until the account is exhausted on her 85th
birthday. If Lisa's bank account pays 3% per year, what
annual amount of SA will Lisa need to invest in her bank
account to achieve her retirement goal? (4.10)
Answer:
Lisa invest "$2180.81" in her bank.
Step-by-step explanation:
The given values are:
On Lisa's 62nd birthday,
she withdraw = $10,000
The annuity of $A will remain at 3 percent for 40 years. The retirement pension of $10000 lasts 23 years at rate percentage of 3 but begins 40 years later.
⇒ [tex]A\times (\frac{P}{A} ,3 \ percent,40) - 10000 (\frac{P}{A} ,3 \ percent,23)\times \frac{1}{(1.03)40} = 0[/tex]
⇒ [tex]A\times 23.1148 - 10000\times 16.4436\times 0.3066 = 0[/tex]
⇒ [tex]A = 10000\times 16.4436\times \frac{0.3066}{23.1148}[/tex]
⇒ [tex]= 10000\times 16.4436\times 0.0132[/tex]
⇒ [tex]=2180.81[/tex] ($)
Pls help I’m failing math
`Answer:
a)x=-9
b)x=71
c) x=3
d)x=9
Step-by-step explanation:
thats what i got unless im really stoopid
e/2 < -1 I need help!!! Ty
Answer: you cant solve this solution
Step-by-step explanation:
Graph x+y=3 , ILL MARK BRAINLIST
Answer:
Are you sure?
None
Step-by-step explanation:
A. x= -3 , y= 3
x + y =
-3 + 3 = 0
B. x= -3 , y= -3
x + y =
-3 + -3 = -6
C. x= 3 , y= 3
x + y =
3 + 3 =6
D. x= 3 , y= -3
x + y =
3 + -3 = 0
75+11(1777-S)=16,671
Answer:
s = 268.27
Step-by-step explanation:
simplify: 75+19547-11s=16671
simplify more: 19622-11s=16671
subtract 19622 on both sides: -11s=-2951
divide both sides by -11: s=268.27
Find volume of a 6mi sphere
please solve the question below
Answer:
x = 5.61
Step-by-step explanation:
Applying the knowledge of similarity between two figures, thus:
Height of flag : height of Tommy = shadow length of flag : shadow o
Length of Tommy
30:5.5 = (25 + x) : x
30/5.5 = (25 + x)/x
30×x = 5.5(25 + x)
30x = 137.5 + 5.5x
30x - 5.5x = 137.5
24.5x = 137.5
x = 137.5/24.5
x = 5.61 (nearest hundredth)
Sara had fourteen peaches and forty pears left at her roadside fruit
stand. She went to the orchard and picked more peaches to stock up the
stand. There are now eighty-one peaches at the stand, how many did
she pick ?
Answer:
67
Step-by-step explanation:
she picked 67 because if you take how many she had at the end and subtract it from the starting number it gives you 67
WILL MARK BRAINLIEST
What is the volume of the shape in the image?
Answer:
18inches I HOPE IM RIGHTTT
Answer:
350
Step-by-step explanation:
you do length•width•height. so
10•7=70 and 70•5=350
Matthew has a loyalty card good for a discount at local hardware store. The item he wants to buy is priced at $13 before discount and tax. After the discount and before tax a price is $12.48. Find the percent discount.
Answer:
Step-by-step explanation:
Your answer
Old price = 13$
New price = 12.48$
DISCOUNT price = 0.52$
Discount rate = 0.52/13 * 100= 4%
Mark it as Brainlist answer. Follow me.
cuales son los divisores de 12
Answer:
1, 2, 3, 4, 6, 12
Step-by-step explanation:
Answer:
1,2,3,4,5,6,12 esos son
what does b = help plzz
Answer:
128
Step-by-step explanation:
Answer:128
Step-by-step explanation:
It is 128 because the WHOLE angle is 180 degrees and if 52 degrees are covered the other remaining is b so 180 degrees-52 degrees is 128 degrees
what is 445 + (67 x 958) x (3n - 31) x 67
Step-by-step explanation:
1
9
2
5
5
8
6
7
−
1
9
8
9
7
6
6
6
7
+
4
4
5
Solve these with work shown please.
Step-by-step explanation:
substitute the value in the value of x and u will get the result.
Which three side lengths best describe the triangle in the diagram
Answer:
its 6 cm, 8cm, and 10 cm
Step-by-step explanation:
i just took the quiz
841 rounded to the nearest 10th
The answer is 840.
I hope am right
¿Cómo se dice 2021 en números romanos?
Answer:
MMXXI Hope this helps :)
Step-by-step explanation:
submit your answers in simplest radical form.
help :(
Answer:
x = 6√2, y = 6
Step-by-step explanation:
This is an isosceles triangle as one angle measures 45° and the other is a right angle, so it measures 90°.
Therefore, you know that y will equal 6.
You have to multiply a by √2 to find x.
6 x √2 = 6√2
Hope this helps!
Answer:
x = 6[tex]\sqrt{2}[/tex]
y = 6
Step-by-step explanation:
in a 45-45-90 triangle the two legs are equal, so XY = YZ
also, the leg to hypotenuse ratio is 1 : [tex]\sqrt{2}[/tex]
so x = 6 · [tex]\sqrt{2}[/tex]
HELP EMERGANCY FAST ANSWERS TIME LIMIT
Assume Sheila's nominal salary increases from $42,000 in 2003 to $69,000 in 2004.
If the Deflator increased from 106 in 2003 to 109 in 2004 and the CPI increased
from 184 in 2003 to 190 in 2004, what was Sheila's percentage increase in real
income?
6
Answer:
E)
Step-by-step explanation:
1 - (69,000 / 42,000) = .64285 * 100% = 64.3%
In triangle ABC, one angle measures 68°, another measures 19°, what is the measure of the third angle? *
Answer:
93°
Step-by-step explanation:
In triangle ABC
one angle = 68°
Another angle = 19°
Let the third angle be X Then
x + 68° + 19° = 180° { being sum of angles of triangle }
x = 180° - 87°
x = 93°
The measure of the third Angle is 93°
Hope it will help :)