Answer: 20,532
Step-by-step explanation:
17,400(.02)=348
348(9)=3132
17,400+3132=20,532
Answer:
Step-by-step explanation:
This is an exponential growth function of the form:
[tex]y=ab^x[/tex] where a is the initial population and b is the growth rate. This could also be written as
[tex]y=a(1+r)^x[/tex] which is a bit more accurate. We'll use that one. r is the percent growth: 2% for us.
Filling in the formula:
[tex]y=17400(1+.02)^x[/tex] and then simplifying:
[tex]y=17400(1.02)^x[/tex]
That's the model for this population. Filling in any number of years for x will give you the population y. Our time is 9 years:
[tex]y=17400(1.02)^9[/tex]
Take care of the exponents first, giving us:
[tex]y=17400(1.195092569)[/tex] and then multiply to get
y = 20,794.6 or 20,794 people (since you can't have 6/10 of a person)
Consider the following pair of equations.
Y = x + 4
Y = -2x - 2
Explain how you will solve the pair of equations by substitution. Show all the steps and write down the solution in (x, y) corn.
Answer:
(- 2, 2 )
Step-by-step explanation:
Given the 2 equations
y = x + 4 → (1)
y = - 2x - 2 → (2)
Substitute y = x + 4 into (2)
x + 4 = - 2x - 2 ( add 2x to both sides )
3x + 4 = - 2 ( subtract 4 from both sides )
3x = - 6 ( divide both sides by 3 )
x = - 2
Substitute x = - 2 into either of the 2 equations abd evaluate for y
Substituting into (1)
y = - 2 + 4 = 2
solution is (- 2, 2 )
Simplify the following expression by combining like terms.
Answer:
5p + 2w + 2
Step-by-step explanation:
xample 2
Find the median, lower quartile, and upper quartile of the numbers.
2 4 32 9 12 22 18 20 16 24 28 11
1 - Arrange the numbers in order from least to greatest.
249 11 12 16 18 20 22 24 28 32
16 18
2-median (second quartile) =
2.
34
= 17
2.
2 4 9 11 12 16 18 20 22 24 28 32
second our
Plz help nerd's
Answer:
Median: 17
Q1: 10
Q3: 23
Step-by-step explanation:
2, 4, 9, 11, 12, 16, 18, 20, 22, 24, 28, 32
Median is middle number/average of the 2 middle numbers. 16 + 18 = 34/2 = 17
First/lower quartile/Q1 = middle of lower half of ordered data set
= 9 + 11 = 20/2 = 10
Third/upper quartile/Q3 = middle of upper half of ordered data set
= 22 + 24 = 46/2 = 23
Sorry if this is too late. Posting it will probably save someone else, though.
A city has a population of 310,000 people.Suppose that each year the population grows by 6.5% . What will the population be after 9 years?
Answer:
546,397 people
Step-by-step explanation:
We solve for the above question, using the formula for Exponential growth
The formula is given as
P(t) = Po (1 + r)^t
Po = Initial population = 310,000
r = Exponential growth rate = 6.5% = 0.065
t = Time in years = 9
P(t) = Population size after time t
Hence:
P(t) = 310,000 × (1 + 0.065)⁹
P(t) = 546,396.82088 people
Approximately =546,397 people
The population will be 546,397 people after 9 years.
Complete the factorization of 3x2 – 5x + 2
.
Suppose quadrilateral ABCD is a square and the slope of BC is -n. What is the slope of AB?
Answer:
-p?
Step-by-step explanation:
Think About the Process Use the algebra tiles to help you solve the equation 4x - 8 = 20. What is the first step in solving the equation using algebra tiles? What is the solution to the equation?
Answer:
The first step would be canceling out the eight getting you 4x = 28 and the solution would be x = 7
Step-by-step explanation:
To simplify you need to add the eight to itself to cancel it out but you have to do it to the 20 too making it 28. Then you have to divide 28 by 4 getting you 7.
Manuel earns $7.25 per hour helping his neighbor. Last month he earned $348. Choose the correct equation and solution which determines the number of hours, h, Manuel worked.
Answer:
7.25h=348
Step-by-step explanation:
If the diameter is 26 inches, what is the radius
Answer:
13 inches
Step-by-step explanation:
In any circle, the radius is always half of the diameter.
So, the diameter can be found by multiplying the radius by 2, and the radius can be found by dividing the diameter by 2.
Since the diameter is 26 inches, we can divide this by 2 to get the radius
26/2
= 13
The radius is 13 inches
Answer:
[tex] \bf \huge13[/tex]
Step-by-step explanation:
Given that : the diameter is 26 inches.to find :what is radius .formulas used :radius = diameter / 2explanation :we know that,
finding the radius
⟼ diameter = 26 inches
⟼ radius = diameter / 2
⟼ radius = 26 / 2 inches
⟼ radius = 13 / 1 inches
⟼ radius = 13 inches.
∴ radius is 13 inches .
A rectangular hotel room is 5 meters by 7 meters. The owner of the hotel wants to recarpet the room with carpet that costs $43.00 per square meter. How much will it cost to recarpet the room?
Answer:
$1505
Step-by-step explanation:
area = 5 x 7 = 35 m²
35 m² x $43 per m² = $1505
A triangle has side lengths of
(x-8) (4x2 – 3) and (4x2 + 4).
If the perimeter is 650 units, what is the value of x?
Given:
The three sides of a triangle are:
[tex](x-8),(4x^2-3),(4x^2+4)[/tex]
The perimeter of the triangle 650 units.
To find:
The value of x.
Solution:
Perimeter of a triangle is the sum of all three sides of the triangle. So,
[tex]Perimeter=(x-8)+(4x^2-3)+(4x^2+4)[/tex]
[tex]Perimeter=8x^2+x-7[/tex]
The perimeter of the triangle 650 units.
[tex]8x^2+x-7=650[/tex]
[tex]8x^2+x-7-650=0[/tex]
[tex]8x^2+x-657=0[/tex]
Splitting the middle term, we get
[tex]8x^2+73x-72x-657=0[/tex]
[tex]x(8x+73)-9(8x+73)=0[/tex]
[tex](x-9)(8x+73)=0[/tex]
Using zero product property, we get
[tex](x-9)=0\text{ and }(8x+73)=0[/tex]
[tex]x=9\text{ and }x=-\dfrac{73}{8}[/tex]
For negative value of x, the side [tex](x-8)[/tex] will be negative, which is not possible because the side of a triangle cannot be negative.
Therefore, the only value of x is 9.
A large pizza chain tracks how many pizzas each customer buys per order. The number of pizzas customers buy in any given order has a mean of 2.52.52, point, 5 pizzas and a standard deviation of 1.51.51, point, 5 pizzas.
Suppose that we take random samples of 777 orders from this population and calculate \bar{x}
x
ˉ
x, with, \bar, on top as the sample mean number of pizzas purchased per order. We can assume that the orders in each sample are independent.
Answer:
unknown; we don't have enough information to determine the shape.
Step-by-step explanation:
khan
Answer:
"Unknown; we don't have enough information to determine the shape."
Step-by-step explanation:
The shape of the sampling distribution is unknown because of the small sample size: the sample size is 7 - it should be at least 30.
helpppppp i don’t know
Answer:
Step-by-step explanation:
180 = 2x + 10 +3x
170 = 5x
34 = x
m∠B = 3(34) = 102°
Rachel has a certain number of pencils in her locker. She has 12 sharpened pencils and 32 unsharpened pencils. What is the ratio of unsharpened pencils to sharpened pencils?
Answer:
sharpened to unsharpened = 3 : 8
for every 3 sharpened pencil, there are 8 unsharpened pencils
Step-by-step explanation:
12s : 32u
12/32
divide both by 4
3/8
ratio = 3:8
The compound interest on a sum of money in 2 yes and 4 yrs are 5460 and 12060.6 then find principle
Answer:
2471.81
Step-by-step explanation:
Let I be the interest, r the annual rate and P the principal. Then:
I = P(r)^2 = 5460
I = P(r)^4 = 12060.6
so r^2 = P(r)^4 / P(r)^2 = 12060.6/5460
r^2 = 2.2089
r = 1.486
So P(r)^2 = P* 2.2089 = 5460
P = 5460 / 2.2089 = 2471.81.
Select all of the following answer choices that are reciprocals of each other.
A. 2 and 1/2
B. -5 and 5
C. -7 and -1/7
D. 3 and 4
6. Monthly Mortgage payments can be found using the formula Below:
M-PG2)(1+1)"
(1+12"-1
M = monthly payment
P = amount borrowed
r=annual interest rate
n = number of monthly payments
The Ranallo family just bought a house. They qualified for an annual interest rate of 5.2% and their monthly payment
was $800 for a 30 year mortgage. Algebraically determine the amount of their loan to buy the house.
Answer: your equation is poorly written/wrong hence I used the equation below
answer : $289156.63
Step-by-step explanation:
applying the formula to calculate monthly repayment of Mortgage
M = P [ r(1+r)^n / ( ( 1+r )^n ) -1 ) ] ----- ( 1 )
M = Total monthly payment = 800 * 12 * 30 = $ 288,000
P = ?
r = 5.2% / 12 = 0.4%
n = 30 * 12 = 360 months
Back to equation 1
P = M / [ r(1+r)^n / ( ( 1+r )^n ) -1 ) ]
= 288000 / [ 0.004 ( 1.004)^360 / (( 1.004)^360 ) - 1 ) ]
= 288,000 / -0.996 = - $289156.63 ( It has a negative value because It is a loan borrowed )
help with math please
Answer:
1. 3
2. 2 ⅖
3. 1 3/7
4. 3 ⅕
5. 5
Step-by-step explanation:
basically to find the answer, just see how many times the bottom number can go into the top number, if its not even just put the extra into a fraction ex question 2 3 and 4.
If f(x)=3x^2 +x-2, then f(-2)=
*12
*-16
*8
*32
help!
i need help with this please
Answer:
diameter = 24 yards
Step-by-step explanation:
C = π·d
75.36 = 3.14d
d = 75.36/3.14
d = 24
Grant has 6 red socks, 4 blue socks, 8
green socks, and 2 yellow socks in a
drawer. He will randomly select two socks
from the drawer one at a time without
replacement. What is the probability that
Grant will select a blue sock and then a
green sock?
F
25
50
95
95
The probability that Grant will select a blue sock and then a green sock = [tex]\frac{8}{95}[/tex].
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.
The probability that Grant will select a blue sock and a green sock =
= Probability of choosing a blue sock * Probability of choosing a green sock out of the remaining socks
= [tex]\frac{Number\ of\ blue\ socks}{Total\ number\ of\ socks} * \frac{Number\ of\ green\ socks\ out\ of\ remaining\ socks }{Total\ number\ of\ remaining\ socks}[/tex]
= [tex]\frac{4}{20} * \frac{8}{19} = \frac{8}{95}[/tex]
Learn more about probability here
https://brainly.com/question/11234923
#SPJ2
SOMEONE PLZ HELP ME
In the following inequality, x ≥ −2, what type of circle would appear on the number line (open or closed circle) and in which direction would the arrow point on the number line(right or left)?
Also, what is a possible solution to x ≥ −2?
Please answer all of the questions in sentence form.
Answer:
this would be a closed circle all innequalities with a greater to or equal to or less than or equal to they will always be closed if it just says less than or greater than it will be open
Step-by-step explanation:
Answer:Closed Circle To the right
To visit her grandmother, Jessica takes a horse 3.31 3.313, point, 31 kilometers and a motorcycle 1 11 kilometer.
Answer: Jessica's journey in total is 4.31 km
Step-by-step explanation:
"five times the difference of x and 4" represent?
Answer:
5(x-4) or 5(x-4)
Step-by-step explanation:
(not 100% sure though)
[tex]five \: times \: the \: difference \: of \: x [/tex]
[tex]and \: 4 \: represents \: 5(x - 4)[/tex]
explain how the values of the two 5’s in the number 555 are different
Answer:
the 5 that is 1st is in hundredths place the second on is the the tenth place and the last one is in the oneths place
Step-by-step explanation:
The area of a circle is 201 square meters. Find
the radius.
Answer:
8.0meters
Step-by-step explanation:
Given data
Area of cirlce= 201 square meters
The expression for the area is
A=πr^2
Substitute our area
201= 3.14*r^2
r^2= 201/3.14
r^2= 64.01
square both sides
r= √64.01
r= 8.0 meters
Hence the radius is 8.0meters
What is 95% as a whole number
Answer:
95
Step-by-step explanation:
Answer:
95% of what? this question is incomplete.
What is the radius of this circle?
Answer:
5 cm
Step-by-step explanation:
Here, In given circle the radius is 5cm
-TheUnknownScientist
The value of the power (-8) ti the second power is
Answer:
64
-8 to the second power is -8^2 Which is -8×-8 Which gives 64
Pls help what is the answer? I need help, no links are allowed.
Answer:
44 cm³
Step-by-step explanation:
If you break up this shape into 2 pieces you get a rectangle with the measurements of 2, 2, and 5 and another rectangle with the measurements of 2, 2, and 6. You then multiply 2, 2, and 5 together which will get you 20, and multiply 2, 2, and 6 together which will get you 24. You will then add both products which will get you 44. Since the measurement is in centimeters and it is a 3 dimensional shape it will then become 44 cm³.