Answers
Answer:
The population of the town in Iowa after 13 years is 9,130
Step-by-step explanation:
The given parameters of the town are;
The population of the town in Iowa in 2007, a = 12,355
The rate at which the people of the town leave Iowa for Minnesota, r = 2.3% per year
We are required to find the population of the town after t = 13 years
The given population decay function is presented as follows;
[tex]f(t) = a \cdot (1 - r)^t[/tex]
Where;
a = The initial population of the town = 12,355
r = The annual percentage rate at which the people of the town leave Iowa for Minnesota = 2.3% per year = 0.023
t = The number of years over which the population changes = 13 years = 13
∴ f(13) = 12,355 × (1 - 0.023)¹³ = 9130.02734094
Therefore, the population of the town in Iowa after 13 years ≈ 9,130 (we round down to the nearest whole number).
Related Questions
The following table shows the number of miles (d) a car travels in t hours while driving at a constant speed of 55 miles per hour.
t 1 2 3 4 5
d 55 110 165 ? 275
How many miles will the car travel in 4 hours?
Answers
Answer: 220 miles
Step-by-step explanation:
Car goes 55 miles in 1 hour.
Constant speed.
Formula is 55t = d.
55 x 4 = 220 miles
Answer:
the guy above is right
Step-by-step explanation:
20 Points!!! Pls help me out with this, and please no links.
Answers
Answer:
7
Step-by-step explanation:
Answer: your answer is B
Step-by-step explanation:
Im so sorry if im wrong, have a good day!
Pls help, question on picture, will do brainliest if right
no links!!!!!
Answers
Given opposite = 16
Hypothenuse = ?
Use Pythagorean theorem to find hypothenuse
12^2 + 16^2 = h^2
144 + 256 = h^2
h^2 = 400, h = 20
You know hypothenuse is 20
Opposite/hypothenuse
Solution: 16/20
Simplify if you need to (4/5)
Answer:
[tex]\boxed {\boxed {\sf sin(\theta)=\frac {16}{20}}}[/tex]
Step-by-step explanation:
We are asked to find the sine for the angle indicated. Remember that sine is equal to the opposite over the hypotenuse.
sin(θ)= opposite/hypotenuseAnalyze the triangle given. We have the 2 legs (16 and 12), but we do not have the hypotenuse (the longest side). We must solve for it.
Since this is a right triangle, we can use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
Where a and b are the legs and c is the hypotenuse. We know 16 and 12 are the legs.
[tex](16)^2+(12)^2=c^2[/tex]
Solve the exponents.
16²= 16*16=25612²= 12*12= 144[tex]256+144=c^2[/tex]
[tex]400=c^2[/tex]
Since we are solving for c, we must isolate the variable. It is being squared, so we take the inverse: a square root.
[tex]\sqrt{400}=\sqrt{c^2} \\20=c[/tex]
Now we know the hypotenuse is 20. The side opposite of the angle θ is 16.
opposite= 16 hypotenuse=20[tex]sin (\theta)= \frac {opposite}{hypotenuse} \\sin (\theta)= \frac{16}{20}[/tex]
The sine of the angle is equal to 16/20. This can be reduced to 4/5 if necessary (by dividing the numerator and denominator by 4).
The figure shows two triangles on a coordinate grid:
A coordinate plane with two triangles is shown. Triangle RST has vertices R at 3 comma 4, S at 1 comma 1, and T at 5 comma 1. Triangle R prime S prime T prime has vertices R prime at 2 comma negative 3, S prime at negative 1 comma negative 1 and T prime at negative 1 comma negative 5.
What set of transformations is performed on triangle RST to form triangle R’S’T’?
A 90-degree counterclockwise rotation about the origin followed by a translation 2 units left
A 270-degree counterclockwise rotation about the origin followed by a translation 2
units to the right
A translation 2 units down followed by a 90-degree counterclockwise rotation about the origin
A translation 2 units down followed by a 270-degree counterclockwise rotation about the origin.
Please answer quickly I am in the middle of a test. (Will Give Brainliest.)
Answers
Answer:
D- A translation 2 units down followed by a 270-degree counterclockwise rotation about the origin.
Step-by-step explanation:
I'm sorry that it's late, I still posted it tho so you can give other person branliest.
Hope this helps for other readers :)
Explanation:
If you focus on one point, I'm doing R
if you first translate it down you will go from (3,4) to (3,2)
Then we have R' at (2, -3) which means we need (y, -x)
This can be found with 90 degree clockwise OR 270 degree counterclockwise.
Pls help with this math
Answers
How many yards are equivalent to 38 feet? Show your work.
Answers
Answer:
12.6
Step-by-step explanation:
divide the length value by 3
PLSSSSS HELPPP PLSSSSSSSSS PLS I NEED HELPP
Jorge takes his friends out for smoothies. He buys 5 smoothies and leaves a $3 tip,
paying a total of $23. He wants to know the price of one smoothie.
• price of 5 smoothies: 23 – 3 = 20
1) Which equation shows how to find the price of one smoothie?
20 – 5 = 15
20 : 5 = 4
23 : 5 = 4.60
23 - 5 = 18
Answers
Answer:
Each smoothie was $4
Step-by-step explanation:
$20 was the bill for 5 smoothies...so divide 20 by the number of smoothies leave off the tip because that is not part of the original bill
Which ordered pair is best estimate for the solution of the system of equations Y=3/2x plus 6, y equals 1/4 X -2
Answers
Answer:
x = -6.4 and y = -3.6
Step-by-step explanation:
The given system of equations are :
[tex]y=\dfrac{3}{2}x+6[/tex] ....(1)
and
[tex]y=\dfrac{x}{4}-2[/tex] ....(2)
We need to solve equation (1) and (2).
From equation (1) and (2),
[tex]\dfrac{3}{2}x+6=\dfrac{x}{4}-2[/tex]
Taking like terms together,
[tex]\dfrac{3}{2}x-\dfrac{x}{4}=-2-6\\\\\dfrac{6x-x}{4}=-8\\\\x=-6.4[/tex]
Put the value of x in equation (1).
[tex]y=\dfrac{3}{2}(-6.4)+6\\\\=-3.6[/tex]
So, the values of x and y are x = -6.4 and y = -3.6
If 5.90 × 1.8 = 10.62, what does 106.2 ÷ 59 equal?
Answers
Answer:
1.8
Step-by-step explanation:
- hope this helps!!
Here is my question.
Answers
Answer:
5/8
Step-by-step explanation:
if 1/8 is used for one batch . for five batch=1/8*5=5/8
Hello. Please help if you can.
Answers
1. A caterer charges a flat fee plus $8.50 per
person. If the total cost for a party of 65 people
was $601.50, how much would they charge for
a party of 150 people?
Answers
Answer:
$1,324
Step-by-step explanation:
$8.50 * 65 = $552.50. $601.50 - $552.50 = $49. So the flat fee would be $49.
$8.50* 150 = $1,275. With the flat fee it would be $1,275+$49 = $1,324.
Find the area of the semicircle. Round your answer to the nearest whole number, if necessary. semicircle 40cm
Answers
Answer:
Answer is NOT 126 CORRECT answer is 628
Step-by-step explanation
First you divide 40 by 2 which equals 20 . Then you do pi which equals 3.14 and you multiply it by 20^(2) which equals 1256 . After that you take 1256 and divide it by 2 which equals 628 .
Each letter in the word THEORETICAL is placed on a separate piece of paper
and placed in a hat. A letter is chosen at random from the hat. What is the
probability that the letter chosen is an E?
(Give answer in format 'a/b, no spaces, use slash for fraction bar)
Answers
Answer:
The answer is 1/11
Step-by-step explanation:
Explanation is in the picture above
please mark as brainliest
What is the solution to the equation below?
4w=2/3
A
6/3
B
8/3
C 2/12
D 4 2/3
THESE ARE FRACTIONS
Answers
Answer:
I think it is 2/12
Vertex:
Vertex form:
Answers
Answer:
y = (x + 1) - 4
Step-by-step explanation:
Vertex Form: y = a(x-h)^2 + k
First, we need to find the parent function. The parent function is (0,0)
Then we need to find where the parabola moved. WE don't need to look at the curved line, we just need to focus on the vertex. We see that the vertex is (-1,-4) Which means the vertex moved one unit towards the left and went down 4 units.
Now it is time to make the actual equation. First, we start with y=
y =
Now we need to put in the (x - h)^2. We see that the graph moved one unit towards the left, so we plug it in with h. Also, keep in mind, the graph isn't being stretched vertically, so the term is 1.
y = 1(x -- 1)^2 = 1(x + 1)^2
Now we need to find the k. The k term is how the graph changed by the y axis. Since it moved down 4 units. We can plug in -4.
y = 1(x + 1) + (-4) = 1(x + 1)^2 - 4
Our final answer is:
y = 1(x + 1) - 4
Which measure is equivalent to 65 kilograms?
659
6509
65000
65,0000
Answers
Answer:
65,000 grams
Step-by-step explanation:
Because 1000 grams is in 1 kilogram, you would multiply the 65 kilograms by 1,000 to convert it to grams.
So to convert 65 kilograms to grams you would do:
65 * 1,000 = 65,000 grams
Part A:
A group of students are going on an overnight camping trip. One tent holds 7 students, and 4 tents hold 28 students. Determine how many students fit in six, nine, and ten tents.
Part B:
Create a table of values to represent the relationship between the number of tents and the number of students.
Part C:
Write the equation to represent the relationship between the number of tents and the number of students.
Answers
Part A:
Six Tents Holds 42 People
Nine Tents Holds 63 People
10 Tents Holds 70 People
Part B:
Number of tents|||Number of people
1 |||7
6 |||42
9 |||63
10 |||70
Part C:
Tents=x
1x=7 people
Solving systems of equations using Substitution
Y= -4x +3
Y= 4x +3
Answers
Point form: (0,3)
Equation form: x = 3, y = 3
help I will give brainiest if you do the last ones
Answers
Question is in picture
Answers
Answer:
the answer will be 14,3 ok but check it
Why didn't some materials Sink in water and some others didn't?
Answers
Answer: Materials sink in water depending on how heavy they are. It is about how heavy something is compared to the same amount (volume) of water. This ratio of an object’s mass to its volume is known as density. Density is what really determines whether something will sink or float.
What is the quotient of (x3 + 3x2 + 5x + 3) ÷ (x + 1)?
x2 + 4x + 9
x2 + 2x
x2 + 2x + 3
x2 + 3x + 8
Answers
Answer:
C
Step-by-step explanation:
C
A coach buys a uniform and a basketball for each of the 20 players on the team. Each
basketball costs $10.40. The coach spends a total of $620 for uniforms and basketballs
What was the cost of a single uniform?
Answers
Answer:
$20.60
Step-by-step explanation:
You find how much it costs for the total amount of basketballs (10.40×20=208), then you subtract that number from the total cost of everything to get the cost of all the uniforms (620-208=412), then you divide the total costs for all uniforms by 20 to find the cost for a single uniform (412÷20=20.6). Always make sure that the decimals go until the hundredths place for USD.
Hope this helps!
find the area of this polygon
Answers
Answer:
answer is 65 in²
hope this helps
Evaluate the expression
Show your work
b) -10 -5h for h = -6
Answers
Answer:
20
Step-by-step explanation:
-10-5x(-6)
-10+30
20
Para resolver un sistema de ecuaciones lineales 2x2 por el método de sustitución se debe tener en cuenta:
A) consiste en despejar la misma incógnita en las dos ecuaciones y después igualar los resultados. En primer lugar, elegimos la incógnita que deseamos despejar. En este caso, empezaré por la «x» y despejo la misma en ambas ecuaciones.
B) debemos saber representar las gráficas de las rectas. Nosotros lo haremos uniendo puntos calculados previamente. Terminaremos con un sistema de dos inecuaciones (o desigualdades). En este caso, la solución del sistema es la intersección de dos regiones del plano.
C) es un método lineal ya que no se basa en despejes, se utilizan procesos algebraicos estructurados.
D) consiste en despejar o aislar una de las incógnitas (por ejemplo, x ) y sustituir su expresión en la otra ecuación. De este modo, obtendremos una ecuación de primer grado con la otra incógnita, y . Una vez resuelta, calculamos el valor de x sustituyendo el valor de y que ya conocemos.
AYUDA PLS
Answers
Answer:
El método de igualación consiste en despejar la misma incógnita en las dos ecuaciones y después igualar los resultados.
Los pasos a seguir son los siguientes:
sistema de ecuaciones
En primer lugar, elegimos la incógnita que deseamos despejar. En este caso, empezaré por la «x» y despejo la misma en ambas ecuaciones.
x+y=7; x=7-y
5x-2y=-7; 5x=2y-7
x=(2y-7)/5
Una vez hemos despejado, igualamos:
7-y = (2y-7)/5
5.( 7-y) = (2y -7)
35 -5y= +2y -7
42=7y
y=42/7=6
y=6
Por último, sustituimos el valor que hemos calculado despejando la otra incógnita en una de las ecuaciones iniciales.
An element with a mass of 840 grams decays by 22.9% per minute. To the nearest minute, how long will it be until there are 70 grams of the element remaining?
Answers
Answer:10
Step-by-step explanation:believe me bro
To the nearest minute, it will be 10 minutes until there are 70 grams of the element remaining.
How to find the time it took for an element to decay to a certain mass?The time the element took to decay can be found by using the following formula:
[tex]F=P(1-r)^{t}[/tex]
Where:
F is the remaining mass.P is the original mass of the element.r is the rate at which the element is decaying.t is the time it took for the element to decay.We can find the answer by substituting the values.
[tex]F=P(1-r)^{t}\\\Rightarrow 70=840(1-0.229)^{t}\\\Rightarrow \frac{70}{840} =(1-0.229)^{t}\\0.0833=(1-0.229)^{t}\\t=9.56\\\approx10 \text{ minutes}[/tex]
Therefore, we have found that the element will take around 10 minutes to have 70 grams remaining.
Learn more about element decay here: https://brainly.com/question/15759852
#SPJ2
Michael's dog stands 10 feet from a table, and notices a plate resting on the edge of the table. The height from the ground to the top of the table is 4 feet, and his dog's eyes are 1 foot above the ground. What is the angle of elevation from Michael's dog to the plate? Round your answer to the nearest whole degree.
Answers
Answer:
The angle of elevation is 17°.
Step-by-step explanation:
Let's draw the scenario to better understand the problem:
Focusing on the right triangle formed, it appears that we get measures of the two sides of the right triangles.
Opposite Side = 3 Ft.
Adjacent Side = 10 Ft.
To find the angle of elevation, we will be using the Targent Function:
[tex]targent \: 0 = \frac{opposite \: side}{adjacent \: side} \\ targent \: 0 = \frac{3}{10} \\ 0 = {targent}^{ - 1} ( \frac{3}{10} ) \\ 0 = 16.69924423399 = 17[/tex]
Therefore, the angle of elevation is 17°.
Solve for the given time.
You buy a car for $15,000 and it depreciates at a rate of 4.3% per month. How much is the car worth after a year?
Answers
Answer:
8851.86
Step-by-step explanation:
100-4.3= 95.7%
15000(.957)^12