Answer:
1) Part A
The function that models the situation is P = 8,300·(1 - 0.12)ⁿ
Part B
2626 people
Part C
1575 people
2) Part A
The function that models the situation is A = 342.000·(1 - 0.06)ⁿ
Part B
The value of the hose in 2025 is approximately $208,472.6
Part C
The value of the hose in 2032 is approximately $135,189.8
Step-by-step explanation:
1) Part A
The given parameters are;
Martianville population in 2012, P₀ = 8,300 people
The percentage annual decrease in the population, r = -12% = -0.12
The formula for the growth of a population is presented as follows;
P = P₀·(1 + r)ⁿ
Where;
P = The population amount at a later time
P₀ = The initial amount of the population
r = The rate of the population growth
n = The number of years
Therefore;
The function that models the situation is P = 8,300·(1 - 0.12)ⁿ
Part B
The population that will attend Martianville in 9 years is given as follows;
P₉ = 8,300 × (1 + (-0.12))⁹ = 8,300 × (1 - 0.12)⁹ ≈ 2626.77
Therefore, by rounding down to the next whole person, the population that will attend Martianville in 9 years, P₉ = 2626 people
Part C
The population that will attend Martianville in 13 years is given as follows;
P₁₃ = 8,300 × (1 - 0.12)¹³ ≈ 1575 people
2) Part A
The price at which the house was bought, A₀ = $342,000
The rate of decrease of the value of the house = 6% therefore, r = -0.06
The function that models the situation is presented as follows;
A = A₀·(1 + r)ⁿ
Therefore;
The function that models the situation is A = 342.000·(1 - 0.06)ⁿ
Part B
The number of years between 2025 and 2017 = 2025 - 2017 = 8 years
The value of the hose in 2025, A₂₀₂₅ = 342.000·(1 - 0.06)⁸ = 208,472.576981
The value of the hose in 2025, A₂₀₂₅ ≈ $208,472.6
Part C
The number of years between 2032 and 2017 = 2032 - 2017 = 15 years
The value of the hose in 2032, A₂₀₃₂ = 342.000·(1 - 0.06)¹⁵ = 135,189.795176
The value of the hose in 2025, A₂₀₃₂ ≈ $135,189.8
A pentagon with an apothem 316.6 millimeters long and a side 460 millimeters long. Find the perimeter and area
The circumference of a circular mirror is 31.4 cm. What is the area of the circular mirror in square centimeters? Use pi = 3.14 .
Answer : AREA OF A CIRCLE = PIR2 ( PI ×R ×R )
N.B = R MEANS RADIUS.
GIVEN THE CIRCUMFERENCE, WE WILL USE THE CIRCUMFERENCE TO FIND THE RADIUS.
FORMULA FOR FINDING RADIUS = CIRCUMFERENCE ÷ 2 × 3.142.
SO THAT IS : 31.4 ÷ 6.284 = 4.9. ROUND UP : 5. SO THE RADIUS IS 5. NOW WE CAN FINDING THE AREA. 3.14×5×5 = 78.5 . Say thanks Nique.PLZ HURY Jani sold several items in a garage sale. She spent one-half of the money she made on a new bicycle. Next she spent one-half of what was left on a portable stereo set. If Jani had $60.00 left, how much money did she make from the garage sale?
A. $120
B. $240
C. $360
D. $720
Step-by-step explanation:
The answer is letter B. $240
Answer:b
Step-by-step explanation:
i toke quiz and got a 100
A high school coach wants to buy new athletic shorts for the 15 members of the basketball team. The coach must spend less than $200 on the shorts. Which inequality represents the maximum cost of each pair, s, the coach can buy? 15 s less-than 200 15 s greater-than 200 15 s less-than-or-equal-to 200 15 s greater-than-or-equal-to 200
Answer: 15s must be less than 200
Step-by-step explanation:
Given
A coach must spend $200 for 15 members
s denotes the cost of each short
i.e. cost of 15 shorts must be less than $200
[tex]\Rightarrow 15s<200[/tex]
15s must be less than 200
Answer:
Its A 100%
Step-by-step explanation:
PLEASE I DESPERATELY NEED HELP WITHH THIS!!!!!!! I’ll give brainless and extra points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Do problems 1,2,5,6,9,12
Answer:
1. 4x + 6
2. -15x + 11
5. -x + 4
6. -4x + 7
9. 5x - 2
12. x + 16
Step-by-step explanation:
Remove the parenthesis for each one so everything's out in the open. Next, you group like terms. The numbers with variables on one side, and the other numbers on the other side. For example:
x + 3x - 2 + 8
Then, you combine like terms:
4x + 6
That's mostly how you do each one.
In a map, 8 cm represent 2km. Write the scale of the map.
Answer:
1:25000
Step-by-step explanation:
2km =2000m =200000cm
200000/8=25000
Ellie wanted to build a fence around her rectangular garden. The garden is 10 ft by 20 ft. A) What is the perimeter of the garden in feet?
Answer:
60 feet
Step-by-step explanation:
Perimeter is the sum of the four sides of a rectangle
the formula for the perimeter of a rectangle = 2 x (length + breadth)
2 x (10 + 20)
2 x (30)
= 60 feet
Alternatively, you can add the sides together : 10 + 10 + 20 + 20 = 60 feet
Consider these three squares with known area.
3 squares. The smallest square is labeled 25, the next square is 144, and the largest square is 169.
Can a right triangle be formed using these squares?
Yes, the sum of the two smaller squares does not equal the largest square.
Correct ---- > Yes, the sum of the two smaller squares equals the largest square.
No, the sum of the two smaller squares does not equal the largest square.
No, the sum of the two smaller squares equals the largest square.
Answer:
512
Step-by-step explanation:i think so
Answer:
The second one
Step-by-step explanation:
I got it right
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HELP I NEED HELP ASAP
Answer:
You can narrow it down to A or D because it is clear that football gets more attendance. There is typically a large distance between the 2, for example the first 1 has a distance of 80 and second a distance of 44. This means the answer is likely D, that football averages 50 more people in attendance
Step-by-step explanation:
I really need to get this done quick.
The surfboard is 14 inches taller than the person.
Write and solve an equation to determine how tall is the person?
help me guys please please
Answer:
Two acute and one right angle triangle can form a triangle
Step-by-step explanation:
Please mark as brainliest
This is giving me hard time someone help ASAP. I really need it because I been trying to solve it and cant
Select the graph that correctly represents the
armount of money. y. Jack earns doing
chores for x hours at $2 an hour if he works
for a maximum of 8 hours.
Answer: C
Step-by-step explanation: Because 2 times 1= 2 2times 2=4 2 times 3=6 etc...
i am rubbish plz help will mark brainiest for whoever gets it right
Answer:
23 cars are silver!
Step-by-step explanation:
PLEASE HELP DUE AT MIDNIGHT
A triangle has sides with lengths of 50 meters, 57 meters, and 79 meters. Is it a right
triangle?
yes
no
Tyler’s brother earns $15 per hour. The store offers him a raise—a 5% increase per hour. After the raise, how much will Tyler’s brother make per hour? i really need help
Answer:
$75per hour
Step-by-step explanation:
15×5=75 jshshhsbw
simplify 5(5b)
help meee plsss
it's 25b
5(5b)
5*5b =25b
Answer:
25b is your answer
Step-by-step explanation:
i took the test
What is the value of v?
(This is 7th-grade math btw)
Answer:
Step-by-step explanation:
v = 40° ( being vertically opposite angles )
PLEASE HELP ASAP please.
Answer:
C x>3
Step-by-step explanation:
Answer:
The answer is (C) x>3
Step-by-step explanation:
Well first just solve it normally like an equation, ignore the sign for now.
-5x+20<5
Isolate the x so we subtract 20 on both sides
-5x<-15
Now divide by -5 to isolate 5 from X
x>3
You switch the sign because whenever you divide or multiply a negative number to isolate x, the sign reverses.
Beth pays for her phone each month based on the number of hours that she uses. Each month she pays $12 for her phone and $2.50 per hour she is using it. What is the total charge for a month in which Beth used the Internet for 90 hours?
Answer:
$237
Step-by-step explanation:
(# of hrs x $ per hr = total $ for all hrs)
90(hrs) x 2.5($ per hr) = 225(total $ fro all hrs)
(total $ for all hrs + initial payment per month = anwer)
225(total $ fro all hrs) + 12(initial payment per month) = 237(answer)
Do you believe in Bigfoot, why or why not? (I need 10 people to answer this survey question, theres no right or wrong answer; i only need 4 more people lol)
Answer: yes because there's so much that scientists haven't discovered, so that could lead to different creatures like Bigfoot being real.
pls help me
which table shows a relationship that is directly proportional?
a b c d?
Answer:
A is the answer because...
Step-by-step explanation:
Let's narrow it down, so it is not D because 8/2=4 but 64/4=16, so already they don't share a slope. It is not B because the numbers don't work together like they should, since we are trying to prove proportionality. It is not C because we are not trying to square the numbers but find a similarity between the numbers, the same slope I mean. So that leaves A which has the slope of 2, test it out now. 0 and 0 are the same, 4/2=2, 8/4=2, 12/6=2. So now you know that A is the correct answer.
Hope you understand! :)
The Pythagorean Theorem states that, in a right triangle, the square of the length of the hypotenuse equals the
sum of the squares of the lengths of the legs. Which of these models support the validation of this theorem?
Kayla is pricing whole wheat flour.
A 5-pound bag at Bargain Mart costs $6.45.
A 2-pound bag at Food Saver costs $2.50.
A 7-pound bag at Grocery Surplus costs $9.45
A 10-pound bag at Economart costs $12.89.
The shop with which sells flour for the lowest unit price is
Answer:
Food Saver
Step-by-step explanation:
6.45 ÷ 5 = 1.29
2.50 ÷ 2 = 1.25
9.45 ÷ 7 = 1.35
12.89 ÷ 10 = 1.289
Food Saver sells for $1.25 per pound, which is the lowest.
Answer:
Food Saver
Step-by-step explanation:
Bargain Mart: 6.45/5 = $1.29/lb
Food Saver: 2.50/2 = $1.25/lb
Grocery Surplus: 9.45/7 = $1.35/lb
Economart: 12.89/10 = $1.29/lb
please help me this is for a grade
Answer:
A, B, and D are congruent
Step-by-step explanation:
Page 142 on big ideas red textbook
Answer: you need a picture
Step-by-step explanation:
picture of ?????????
Step-by-step explanation:
picture dude
Solve for c
c/-1 + 9 = 0
The value of y is directly proportional to the value of x If y=81 when x=54, what is the value of y when x=38
Answer:
y = 57
Step-by-step explanation:
y α x
y = kx ; k = Constant of proportionality
81 = k* 54
k = 81/54
k = 1.5
Value of y when x = 38
y = kx
y = 1.5 * 38
y = 57
Hence, y = 57 when x = 38
it has to be a exponent
Answer:
7
when dividing exponents with the same base, you subtract them. so, 11-7 = 4