Given:
Initial population = 45,000
Decreasing rate = 2%
Time = 5 year
To find:
The population after a period of 5 years.
Solution:
Formula used:
[tex]f(t)=ae^{rt}[/tex]
where, a is initial population, r is rate and t is time.
[tex]r=\dfrac{2}{100}=0.02[/tex]
Decreasing rate represented by -0.02.
Substitute a=45000, r=-0.02 and t=5 in the above formula.
[tex]f(5)=45000e^{-0.02(5)}[/tex]
[tex]f(5)=45000e^{-0.1}[/tex]
[tex]f(5)=45000(0.904837418)[/tex]
[tex]f(5)=40717.68381 [/tex]
Approximate the value to the previous integer.
[tex]f(5)\approx 40717 [/tex]
Therefore, the population after 5 years is 40717.
Answer:
40,718
Step-by-step ex
The population of a city is currently 45,000 and is declining at a rate of 2% each year. Estimate the population after a period of 5 years. Use the formula ƒ(t) = aert. planation:
A die is rolled 5 times. What is the probability that 1 occurs twice, 2, 3 and 4 occur once each, and 5 and 6 do not occur (round off to fourth decimal place)
Answer:
0.0077
Step-by-step explanation:
From the given information;
Each outcome possesses the same probability of 1/6 in a single roll.
The required probability can be estimated by using the multinomial distribution;
Therefore;
[tex]P = \dfrac{5!}{2!\times 1!\times 1!\times\times 1! }\times (\dfrac{1}{6})^2\times (\dfrac{1}{6})\times (\dfrac{1}{6})\times (\dfrac{1}{6})[/tex]
[tex]P = 60\times (\dfrac{1}{36})\times\dfrac{1}{216}[/tex]
P = 0.0077
The required probability = 0.0077 to 4 decimal decimals
What is the y-intercept of 6x + 12y = 60
Answer:
it means when x =0
so 6*0+12y=60
12y=60
y=5
Step-by-step explanation:
Answer:
In y intercept x = 0
so,we replace 0 in place of x
Step-by-step explanation:
6*0+12y=60
0+12y=60
y=60/12
y=5
Find the slope and the y−intercept of the line in the graph.
Answer:
hgnbgnbgn
Step-by-step explanation:gnhgbnghnb
A Normal distribution has mean µ = 61.6. Find it’s standard deviation if 20% of the values are greater than 70. (Hint--use the z-score formula).
Answer:
The value is [tex]\sigma = 9.976[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 61.6[/tex]
Given that 20% of the values are greater than 70, the z-score to the right of the curve corresponding to 20% (0.2) of the values is
[tex]z-score = 0.842[/tex]
Generally this z-score is mathematically represented as
[tex]z-score = \frac{x - \mu }{\sigma }[/tex]
Here x = 70
So
[tex]0.842 = \frac{70 - 61.6 }{\sigma }[/tex]
=> [tex]\sigma = 9.976[/tex]
Chicks Corporation had $1,100,000 in invested assets, sales of $1,210,000, income from operations amounting to $302,500, and a desired minimum rate of return of 15%.
The profit margin for Chicks is:
25%
22%
15%
27.5%
Answer:
Step-by-step explanation:
Un ingeniero realiza las siguientes observaciones sobre las ventas de impresoras en una tienda: Hay impresoras Epson, Hp y Cannon. El número de impresoras Epson y HP es cinco veces el número de las Cannon. Además, el número de impresoras Epson es el triple que el de la Cannon y El total de impresoras Cannon y Hp asciende a 123
Answer:
En la tienda hay 123 impresoras Epson, 82 impresoras HP y 41 impresoras Cannon.
Step-by-step explanation:
Para determinar el número de impresoras de cada marca, se deben plantear las siguientes ecuaciones:
E + HP = 5 x C
E = 3 x C
C + HP = 123
Así, teniendo en cuenta estas ecuaciones y los valores de cada marca dentro del stock de la tienda, se puede plantear la siguiente equivalencia:
Si E = 3C y E + HP = 5C, entonces HP = 2C, ya que 5C - 3C = 2C.
Entonces, las equivalencias son las siguientes:
E = 3C
HP = 2C
Si C + HP = 123, podríamos decir que 3C = 123. Por ello, dado que 123 / 3 es igual a 41, el número de impresoras Cannon asciende a 41 unidades.
A su vez, el número de impresoras HP es de 82 unidades (41 x 2), mientras que el número de impresoras Epson asciende a 123 unidades (41 x 3).
A hospital claims the main number of patients seen in the emergency room each day is more than 49. You know the following items about this study; The P value is 0.0922, the level of significance is 10% and assume the population is normally distributed
Answer:
The p-value is less than the alpha (the level of significance) reject the null hypothesis. There is sufficient evidence at the α = 0.1 level of significance to conclude that μ>49.
Step-by-step explanation:
FINANCE
4. Which of the following is NOT a reason why the required return on a bond may differ from its par value?
A. The required rate of return exceeds the coupon value, so the bond sells at a premium.
B. The required rate of return exceeds the coupon value, so the bond sells below par value.
C. The required rate of return is less than the coupon value, so the bond sells at a premium.
D. The required rate of return is less than the coupon value, so the bond sells below par value.
Answer:
I think the answer is B
Step-by-step explanation:
Thank you
Convert the rate to a unit rate. What is 124 feet walked in 10 seconds equal per second?
Answer:
12.4 feet per second
Step-by-step explanation:
Walking 124 feet in 10 seconds is the fraction [tex]\frac{124 feet}{10 seconds}[/tex] this is the same as [tex](\frac{124}{10}) \frac{feet}{seconds}[/tex] We get a decimal by dividing 10 into 124 [tex](12.4)\frac{feet}{seconds}[/tex] That's 12.4 feet per secondMay u please help me ill give out the brainly
Answer:
24x+18y+10
Step-by-step explanation:
start by distributing so 6*4x and 6*3y
that give you 24x+18y+10
guys help plz What is the coefficient of y^2 in the expression 2x^2y – 10xy^2 + 5y^2?
What is i2=-1 math test
Answer:
Your answer is: ↓
If your converting in Logarithmic Form then your answer is: [tex]log_{i}(-1)=2[/tex]
If you are trying to figure if that equation is determined T/F: The answer is T.
If you are trying to evaluate (expand) the question your answer is:[tex]-1=-1[/tex]
Step-by-step explanation:
Hope this helped : )
Thanks for the help :)
Winston deposited $3,294 in a bank account with an annual interest rate of 2.6%. How much interest was earned in 5
years? Round your answer to two decimal places.
Answer:
FV= $3,725.07
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $3,294
Number of periods (n)= 5 years
Interest rate (i)= 2.6% = 0.026
To calculate the future value (FV), we need to use the following formula:
FV= PV*(1+i)^n
FV= 3,294*(1.026^5)
FV= $3,725.07
please *atleast* answer one of them!
1. what is the difference when (t-3v) is subtracted from the sum of (7t-2u-3v) and (3t+5u-8v)?
2. Which of the following best describes “The movement of a lift is positive 2 levels”? *
3. How many like terms are there in the expression 2x + 3y - 5x + yz - x?
Answer and Step-by-step explanation:
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1. Let's write out the equation to subtract.
7t - 2u - 3v - (t - 3v)
Distribute the negative to the t and -3v.
7t - 2u - 3v - t + 3v (The negatives cancel out)
Now simplify by combining like terms.
6t - 2u
This is the answer because the 3v and -3v cancel out.
2. I don't really understand what this is saying. Is there answer choices for this? But what I think its saying is that the lift has a constant of 2.
3. To find out the amount of terms, we would simplify the equation.
2x + 3y - 5x + yz - x
-4x + 3y + yx
Here, we can see that we have 3 terms in this expression.
-4x is the first term, +3y is the second term, and +yx is the third term.
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
Find the volume of a cylinder, given
the radius as 7cm and height 10cm.
Answer:
1539.38cm³
Step-by-step explanation:
V=πr2h=π·72·10≈1539.3804cm³
What is the BEST deal on sugar?
• 1 kg of sugar for $1.05
1.5 kg of sugar for $1.65
• 2 kg of sugar for $2.00
• 5 kg of sugar for $4.75
• 10 kg of sugar for $9.95
A)1 kg of sugar for $1.05
B)1.5 kg of sugar for $1.65
C)2 kg of sugar for $2.00
D)5 kg of sugar for $4.75
Answer:
C
Step-by-step explanation:
well if you multiply each of tjem you would only sabe money on c the other choices would cause you to lose money so its c
Please answer! I will give brainliest to the correct answers.
Answer:
(n+10)+9
{(n+10)+9}/2
[{(n+10)+9}/2]-5
All you have to do is follow the steps!
Think of a number - n
Add 10 - n + 10
Add the number you were thinking of - n + 10 + n
Divide by 2 - (n + 10 + n) / 2
Subtract 5 - ((n + 10 + n) / 2) -5
It may look hard, but its not as hard as you think. All you need to do is follow the steps!
72÷x=3.6÷0.015
Pls show work
Answer: x=0.3
Step-by-step explanation:
The solution of the linear equation 72 ÷ x = 3.6 ÷ 0.015 will be 0.03.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation with one variable is given as,
72 ÷ x = 3.6 ÷ 0.015
Simplify the equation, then the value of 'x' is given as,
72 ÷ x = 3.6 ÷ 0.015
x ÷ 72 = 0.015 ÷ 36
x / 72 = 0.015 / 36
x / 2 = 0.015
x = 0.03
The solution of the linear equation 72 ÷ x = 3.6 ÷ 0.015 will be 0.03.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
The diameter of a pipe is normally distributed, with a mean of 0.4 inch and a variance of 0.0009. What is the probability that the diameter of a randomly selected pipe will exceed 0.418 inch
Answer:
P(X > 0.418) = 0.27425
Step-by-step explanation:
We are given;
Population mean; μ = 0.4 inch
Variance; Var = 0.0009
Sample mean; x¯ = 0.418
First of all let's get the standard deviation which is;
σ = √Var
σ = √0.0009
σ = 0.03
Now, z - score formula is;
z = (x¯ - μ)/σ
z = (0.418 - 0.4)/0.03
z = 0.6
We want to find the probability that the diameter of a randomly selected pipe will exceed 0.418 inch. Thus;
P(X > 0.418) = 1 - P(X ≤ 0.418)
From z-distribution table attached, P(X ≤ 0.418) = P(Z) = 0.72575
Thus;
P(X > 0.418) = 1 - 0.72575
P(X > 0.418) = 0.27425
The animal shelter requires 1 pound of food for every 3 animals. This directly proportional relationship is represented by the equation y = (1/3)x, where x represents the number of animals and y represents pounds of food. If y varies directly with x, which graph represents the situation?
Answer:
It is the second graph.
Step-by-step explanation:
5 roommates share the cost of an apartment: rent,electricity, and gas. rent costs 1800 and gas costs 150 per month. each roommate pays 425 per month. how much is the electricity bill
Answer:
Electricity bill is 175
Step-by-step explanation:
Given
[tex]Rent = 1800[/tex]
[tex]Gas = 150[/tex]
[tex]Each\ Roommate = 425[/tex] monthly
[tex]Number\ of\ Roommate = 5[/tex]
Required
Determine the electricity bill
If each roommate pays 425, then 5 roommates pay 5 * 425
[tex]Total = 5 * 425[/tex]
[tex]Total = 2125[/tex]
This implies that: the monthly cost of room, gas and electricity add up to 2125.
In other words,
[tex]Gas + Rent + Electricity = 2125[/tex]
[tex]150 + 1800+ Electricity = 2125[/tex]
[tex]1950+ Electricity = 2125[/tex]
[tex]Electricity = 2125 - 1950[/tex]
[tex]Electricity = 175[/tex]
Hence, the electricity bill is 175
A. B. C. Or d. Please
Answer:
B
Step-by-step explanation:
Stanley drove a race car an average speed of 120 miles per hour for 3 minutes. How far did Stanley drive the race car?
Answer:
6 miles
Step-by-step explanation:
3 minutes = 1/20 of an hour
120 miles x 1/20 of an hour = 6 minutes
Can someone help me
Answer:
23.27 - 5. 3 = 17.97
Step-by-step explanation:
Use the distributive property to expand 0.05(50 + 40).
Answer:
4.5
Step-by-step explanation:
Find n and r 10 pointssss
What is the slope through the points
(1,-3) and (2,1)
Answer:
The slope is 4
The equation is y=4x-7
Step-by-step explanation:
y-y/x-x I used this equation and plugged the numbers in.
a proportion question
Answer:
because x,y,z are in continuous proportion
=> x/y = y/z
<=> xz = y² =>
[tex]\frac{xz}{y} =y\\\\=>\frac{x^{3}z^{3} }{y^{3} }=y^{3}[/tex](1)
with (1), we have:
[tex]x^{2}y^{2}z^{2}(\frac{1}{x^{3} }+\frac{1}{y^{3} }+\frac{1}{z^{3} })\\\\= (xyz)^{2}(\frac{1}{x^{3} } +\frac{y^{3} }{x^{3}z^{3} }+\frac{1}{z^{3} })\\\\=(xyz)^{2} (\frac{x^{3}+y^{3}+z^{3} }{x^{3}z^{3}} )\\\\=y^{2}.\frac{x^{3}+y^{3}+z^{3} }{xz} \\\\= xz.\frac{x^{3}+y^{3}+z^{3} }{xz} \\\\=x^{3}+y^{3}+z^{3}[/tex]
Step-by-step explanation:
Can anyone please help FAST! I’m looking for the correct answer and how you explain it! I’ll mark brainlist please and thank you!
Answer:
Part 1: y=2x-12
Part 2: 12=2x-y
Step-by-step explanation:
Given Information:
m (slope) = 2
There is a point: (5, -2)
PART 1
Solution: Use the formula: [tex]y=m(x-x_{1} )+y_{1}[/tex]
y=2(x-(5))+(-2)
y=2x-10-2
y=2x-12
PART 2
y=2x-12 (from part 1)
0=2x-y-12
12=2x-y