[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &4 \end{cases} \\\\\\ A=2000e^{0.08\cdot 4}\implies A=2000e^{0.32}\implies \boxed{A\approx 2754.26}[/tex]
A father and his young toddler are walking along the sidewalk. For every 3 steps
the father takes, the son takes 5 steps just to keep up. What is the ratio of
the number of steps the father takes to the number of steps the son takes? Add
labels to the columns of the table and place the ratio into the first row of
data. Add equivalent ratios to build a ratio table.
Answer:
Ratio 5:3
Step-by-step explanation:
5:3 equivalent fraction are 10:6, 15:9
On a cold February morning, the temperature of the radiator fluid in Stanley’s car is Negative 18 degrees Fahrenheit. When the engine is running, the temperature of the fluid goes up 5.4 degrees Fahrenheit per minute. Approximately how long will it take before the radiator fluid temperature reaches 60 degrees Fahrenheit? (HELPP)
It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit
A function is said to be linear if it is a straight line graph and it can be represented by the equation:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the temperature in Fahrenheit of the radiator after t minutes.
Stanley’s car is Negative 18 degrees Fahrenheit. Hence b = -18. The temperature of the fluid goes up 5.4 degrees Fahrenheit per minute. hence m = 5.4. The equation becomes:
y = 5.4x - 18
For the radiator fluid temperature to reach 60 degrees Fahrenheit:
60 = 5.4x - 18
5.4x = 78
x = 14.4 minutes
It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit
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5.A Nathan decided he wanted to go to a theme park. The theme
park charges $ 7.00 for entry and $ 1.50 for each ride. Part A : Write an
expression to represent this scenario where R represents the number of
rides.
5.B Refer to problem 5. Part B: Write and solve an equation to determine
how many rides Nathan can ride if his Dad give him $ 28.00. Show your work.
Answer:
5a. $1.50R + $7
5b. 14 rides
Step-by-step explanation:
5b. $28 - $7= $21/1.50= 14
He can go on 14 rides
If rides be x
Initial price=7Rate of change=1.5The equation is
y=1.5x+7#B
Put y=28
1.5x+7=281.5x=28-71.5x=21x=14Total 14 rides
Select the correct answer from each drop-down menu. The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0. The equation of this circle in standard form is . The center of the circle is at the point , and its radius is units.
7 x² + 7 y² - 28 x + 42 y - 35 = 0 /: 7
x² + y² - 4 x + 6 y - 5 = 0
( x² - 4 x + 4 ) + ( y² + 6 y + 9 ) - 4 - 9 - 5 = 0
The equation in the standard form is:
( x - 2 )² + ( y + 3 )² = 18
The center is at the point ( 2, - 3 ).
Its radius is: √18 = 3√2 units.
Answer:
A. (x - 2)^2 + (y + 3)^2 = 18.
B. (2, -3)
C. 3(2^(1/2))
Step-by-step explanation:
The equation of this circle in standard form is (x - 2)^2 + (y + 3)^2 = 18. The center of the circle is at the point (2, -3), and its radius is 3(2^(1/2)) units.
By what number should be 6 2/9 be divided to obtain 4 2/3 ?
6(2/9)
4(2/3)
18/54
8/12
=18/54
=8/12
u divided all
Let the number should be duvided be X
Given number = 6 2/9
⇛ (6×9+2)/9
⇛ (54+2)/9
⇛ 56/9
On dividing 56/9 by X then the result
= (56/9)/X
= 56/9X
According to the given problem
The result = 4 2/3 = 14/3
⇛ 56/9X = 14/3
⇛ 9X×14 = 56×3
⇛ 9X = 56×3/14
⇛ 9X = 4×3
⇛9X = 12
⇛X = 12/9
=⇛X = 4/3 or 1 1/3
Answer↓
The required number is 4/3 or 1 1/3
Check↓
On dividing 6 2/9 by 1 1/3
⇛ 6 2/9 ÷ 1 1/3
⇛ (56/9)÷(4/3)
⇛ (56/9)×(3/4)
⇛ (56×3)/(9×4)
⇛ 14/3
⇛4 2/3
Verified.
express (25 1/2) ^3 in simplest radical form
Step-by-step explanation:
i think this is the answer if it's wrong I'm sorry
Lin and Diego want to run a race in which they will both finsh when the timer reads exactly 30 seconds. Who should get a head start, and how long should the head start be?
Answer:
Lin needs a 45-meter head start. Lin will travel 120 meters in 30 seconds, and Diego will travel 165 meters in 30 seconds.
Step-by-step explanation:
ends of diameter: (9, 15) and (15, 7)
(
x
−
12
)
2
+
(
y
−
11
)
2
=
25
A bottle of medicine holds 0.25 litres.
The instructions on the bottle of medicine say: 'Take two 5 ml spoonfuls three times a day
How many days will a full bottle of medicine last?
Answer:
this is the correct answer happy
f(x-1)=3x²-7x+8, find f(x)
Answer:
f(x) = 3x² -x +4
Step-by-step explanation:
Use (x+1) for x and simplify.
f((x+1) -1) = 3(x +1)² -7(x +1) +8
f(x) = 3(x² +2x +1) -7x -7 +8
f(x) = 3x² -x +4
1) Company A charges $55 per hour and a service charge of $250 and Company B charges $60
per hour and a service charge of $225. At what time are they equal?
Answer:
5 hours
Step-by-step explanation:
The weight of an object on the moon is
1 of its weight on Earth. If a moon rock
weighs 203 lb on Earth, how much did
the moon rock weigh on the moon?
Answer:
The answer would be 124.4
Step-by-step explanation:
The simple answer is 124.4 lb on the moon it would way the explation behind this is that the moons gravity is 1.62m/s so dividing that by 1.62 it would be 12.4.4 lb but because of the moons twist on it's axes would make it 90 Ib
Hope this helps :)
Mrs. Penn charges $10.00 an hour on top of a $5.00 flat fee for tutoring. Mrs. Smith charges $14.00 an hour with no flat fee. Write and solve an equation to find how many hours T takes for Mrs. Penn and Mrs. Smith to get paid the same amount.
Answer:
1.25 Hours (1 hour & 15 minutes)
Step-by-step explanation:
14x = 5 + 10x
Subtract 10x from both sides
4x = 5
Divide by 4 on both sides
x = 1.25
It will take 1 hour and 15 minutes (1.25 hours) for Mrs. Penn and Mrs. Smith to be paid the same amount.
Solve -x/3>5
I need help with this
x=1 becuase when 1x is it
I need right answer only please no link no bot
Answer:
[tex]972 \pi \: {in}^{3} [/tex]
Step-by-step explanation:
volume of container
[tex] = \: \frac{4\pi {r}^{3} }{3} [/tex]
At a candy factory, a machine is putting candy into a container. the graph shows the amount of candy (in pounds) in the container vs time (in minutes). SEE GRAPH BELOW AND ANSWER THE FOLLOWING QUESTIONS PLEASE.
A.) What is the amount of candy in the container at 0 minutes?
B.)Choose the stament that best describes how the time and candy are related then fill in the blank.
B 1.) As time increases the amount of candy in the container decreases. At what rate is the amount of candy decreasing?
_____ pounds per minute?
B 2.) As time increases the amount of candy in the container increases. At what rate is the amount of candy increasing?
____pounds per minute?
Answer:
A) 20 pounds
B.2) (increasing) 60 pounds per minute
Step-by-step explanation:
A) The graph shows the container has 20 pounds in it at x=0 minutes.
__
B) The graph goes up to the right (is increasing).
At minute 0, the container has 20 pounds.
At minute 1, the container has 80 pounds.
The increase in one minute is 80-20 = 60 pounds per minute.
The initial amount of candy in the container is 2 pounds. As time increases, the amount of candy in the container decreases at a rate of 1 pound per minute.
A.) The amount of candy in the container at 0 minutes is 2 pounds.
B1.) As time increases, the amount of candy in the container decreases. The rate at which the amount of candy is decreasing is 1 pound per minute.
B2.) As time increases, the amount of candy in the container increases. However, this option is not applicable in this case as the graph shows a decreasing trend.
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The problem 7,291 ÷ 19 is solved below using partial quotients. Identify what partial quotient was used in each step. Then, identify your final quotient.
Seven thousand two hundred ninety one minus five thousand seven hundred equals one thousand five hundred ninety one minus one thousand five hundred twenty equals seventy one minus fifty seven equals fourteen. Arrows pointing to step one, two, and three. You can not make anymore groups of nineteen. What is left becomes your remainder ill give brainliest
Using the partial quotient method, it is found that:
The partial quotients used in each step are as follows: 300, 80, The final quotient is of: 383.Partial quotient methodWhen division is done applying the partial quotient method, consecutive subtractions are done with n groups of the divisor.
Each partial quotient is the number of groups, and the final quotient is the sum of the partial quotients.
In this problem, the divisor is as follows;
19.
The first subtraction is by 5700, which is 5700/19 = 300 groups of 19, hence the first partial quotient is of 300.
The second subtraction is by 1520, which is 1520/19 = 80 groups of 19, hence the second partial quotient is of 80.
The third subtraction is by 57, which is 57/19 = 3 groups of 19, hence the third partial quotient is of 3.
Then the final quotient is given as follows:
300 + 80 + 3 = 383.
Missing InformationThe subtractions are given by the image at the end of the answer.
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The expression on the left side of an equation is shown below. -6x+6=0 If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation? 06 0 1 O 6x 6x6l
Answer:
I think 0
Step-by-step explanation:
The system of equations y = 2x + 5 and y = –3x – 15 is shown on the graph below.
On a coordinate plane, 2 lines intersect at (negative 4, negative 3).
According to the graph, what is the solution to this system of equations?
(–4, –3)
(–3, –4)
(–5, 5)
(5, –5)
Answer:
-4 -3
Step-by-step explanation:
Is 18 is 25% of 72 true or false
Step by step evidence
Answer:
true
Step-by-step explanation:
25% of 72
25/100 * 72
= 1/4 * 72
= 18
Given slope of −25 with point (-5,3), write the linear equation in Slope-Intercept Form.
[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto 3=-25(-5)+b[/tex]
[tex]\\ \sf\longmapsto 3=125+b[/tex]
[tex]\\ \sf\longmapsto b=-122[/tex]
Equation of the line
[tex]\\ \sf\longmapsto y=-25x-122[/tex]
What are the answers pls I don’t get it
Answer:
answers are (1+0.13)x and 1.13x
Step-by-step explanation:
i did this one last year and got it right :)
Can someone help me please
Answer:
answer for question 7. 0.17×70 = $11.9
Answer:
Question 1:
bill = $70
tip percentage = 17%
so tip = 70x(17/100)
= 11.9$
Question 2:
total voters = 20500
supported voters percentage = 49%
so supported voters = 20500x(49/100)
= 10045
Question 3:
price = 154$
vat percentage =5%
so vat = 154x(5/100)
= 7.7$
Mr Harrison is 9 months old. How old is Mr Harrison daughter in days
Answer:
273.75 days
Step-by-step explanation:
True or false: An absolute value function is an example of a piecewise function.
Answer:
True
Step-by-step explanation:
An absolute function can be re-written as:
[tex]|x| = \left \{ {{x} \quad \ \ \ \text{if} \ x \geq \ 0\atop {-x} \quad \text{if} \ x < 0} \right.[/tex]
That is the form of a piecewise function.
how to solve subtraction of percentage from whole numbers
From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing scores. Based on this sample, find a confidence interval for the proportion of all scores that are passing. Then find the lower limit and upper limit of the confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
Supposing 60 out of 100 scores are passing scores, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).
The lower limit is 0.5.The upper limit is 0.7.In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
60 out of 100 scores are passing scores, hence [tex]n = 100, \pi = \frac{60}{100} = 0.6[/tex]
95% confidence level
So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7[/tex]
The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).
The lower limit is 0.5.The upper limit is 0.7.A similar problem is given at https://brainly.com/question/16807970
Nina brought 25 cupcakes to school for her friends. There were two flavors, chocolate and vanilla. For every 2 chocolate cupcakes she brought, Nina brought 3 vanilla cupcakes.
How many vanilla cupcakes did Nina take to school? Explain.
The number of vanilla cupcakes that Nina took to school is; 15 vanilla cupcakes
We are given;
Number of cake Nina bought for her friends = 25 cupcakes
There are two flavors namely chocolate and vanilla.
Now, we are told that for every 2 chocolate cupcakes she bought, she bought 3 vanilla cupcakes. Thus;
Fraction of chocolate cupcakes of the total = 2/(2 + 3) = 2/5
Fraction of vanilla cupcakes of the total = 3/5
Thus;
Number of the chocolate cupcakes she bought = 2/5 × 25 = 10 chocolate cupcakes
Number of the vanilla cupcakes she bought = 3/5 × 25 = 15 vanilla cupcakes
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pls help i’ll mark brainliest!!
Aiden runs 1500 meters in 8 minutes. Find the slope of the linear function that represents this relationship.
Aiden runs 187.5 meters perminute.
Aiden runs 180 meters per minute.
Aiden runs 200 meters per minute.
Aiden runs 12 meters per minute.
The slope of the linear function that represents this relationship is Aiden runs 187.5 meters per minute.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Aiden runs 1500 meters in 8 minutes.
We know slope= Rise/ Run
So, slope= 1500 /8
slope= 187.5
Hence, the slope of the linear function that represents this relationship is Aiden runs 187.5 meters per minute.
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PLEASE HELP MY SISTER NEEDS IT OMG [Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• 1.5 above sea level
• absolute value of –4.5
• –2
• opposite of 4
• absolute value of 1
• 2.5 below sea level
• greatest common factor of 8 and 12
• –(–3)
• -3 1/2
• opposite of –5
Answer:
The answer for this question would be 1.5 goes to the top of 1. Absoute value of -4.5 goes to the bottem of -4 . -2 goes on the -2 point . oppsite of 4 is -4.
Absoulte value of 1 is 1. 2.5 below sea level is under 2. Greatest common factor of 8 and 12 is 4. -(-3) is 3. Opposite of -5 is 5.
Step-by-step explanation:
Answer:
points:
1.5
4.5
-2
-4
1
-2.5
4
3
-3.5
5
Step-by-step explanation: