Charlotte invests £5000.
The bank pays 10% interest for the first year and then y% every year after that.
After three years, Charlotte has £5610.55
Calculate y

The two points that a line of fit will go through to best fit the data are;

B: ( 3, 7) and (9, 1)

Scatter plots are defined as the graphs that present the relationship between two variables in a data-set. It is used to represent data points on a two-dimensional plane or on a Cartesian system. The independent variable or attribute is plotted on the X-axis, while the dependent variable is plotted on the Y-axis.

A line of best fit is a straight line drawn through the maximum number of points on a scatter plot. It should have an equal number of points above and below that line. This is best represented on the blue line on the attached graph. It touched 4 points and is between the green and red line.

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Answer:

cashier

Step-by-step explanation:

the discount is $7.50

Answer:

the median is 3 for your question

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Answer:

Step-by-step explanation:

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The answer is C because it matches the other graph from Desmos.

( -1.333,0 ) ( 0,-2 )

( Picture Below )

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Hope this helps! <3

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The graph of the equation y = -(3/2)x -2 is C.

Slope of a line is defined as the change in the value of y-coordinate with respect to the value of the x-coordinate. It is usually denoted by 'm'.

Slope can also be defined as the tangent of the angle that the line is making with the X-axis.

The equation of a line in slope-intercept form is y = mx + c, where m is the slope and c is the y-intercept.

For  y = -(3/2)x -2, m = -3/2 and c = -2

Here slope is negative, so the line will be directing downwards from left to right.

So we eliminate graph B.

y-intercept is the y-coordinate of the point where the line touches with the X-axis. The x-coordinate at that point will be zero.

So we got the a point on the line ( 0, -2 )

Since graph A does not pass through this point, it is also eliminated.

Now we find x-intercept which is the x-coordinate of the point where the line touches with the X-axis. The y-coordinate will be zero there.

So, 0 = -(3/2)x -2

⇒ 2 = -(3/2)x

⇒ x = -4/3

⇒ x = -1.333

So the line touches ( -1.333, 0).

Hence, graph C is the one which satisfies the equation  y = -(3/2)x -2.

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Answer:

0.9 liters.

Step-by-step explanation:

The difference between 20% of 3 and 50% of 3 is 30%. 30% of 3 liters is 0.9 liters so this is what you add to can A.

Answer:

3x + 4y = 16

Step-by-step explanation:

please mark this answer as the brainliest

the  y=   equation shows how... b/c we can just plug y into the 2nd equation and eliminate y and have one variable, x , to solve for  :)

Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: weight of a 24 square foot, 2 inch thick aluminum plate

Finding:

By unitary method, we get:

Weight of 1 square foot aluminum plate = 15 lbs.

Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.

Again, by unitary method, we get:

Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.

Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.

Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.

Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.

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There are 60 students in the class.

They were all born in 1999. No two students in the class have the same birthday date.

Therefore, there are approximately 1.146 x 10^98 ways that no two students in the class have the same birthday date.

Summary: There are 60 students in the class who were all born in 1999. We want to find the total number of ways that no two students in the class have the same birthday date. We use the permutations formula and let n = 365 and k = 60 to get P(365, 60) = 1.146 x 10^98. Therefore, there are approximately 1.146 x 10^98 ways that no two students in the class have the same birthday date.

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Choose:

Increase the likelihood of rejecting the null hypothesis and increase measures of effect size.

The t statistic is the ratio of the calculated deviation of a parameter from its hypothesized value with its standard error.

In general, the likelihood of discovering a significant difference increases as the variance of the difference scores increases. A limited variation for the difference scores in a repeated-measures study suggests that the treatment has little or no effect.

Increasing the number of scores within each sample reduces the predicted standard error of the mean difference. This increases the size of the observed t, making it easier to reject the null hypothesis H0. In other words, when sample size increases, statistical power increases.

Higher t-value corresponds to a lower p-value, indicating that the difference between sample-mean (Χ) and population-mean (μ) is statistically significant (hence we reject the null hypothesis).

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Answer: Understand that a relationship between two variables, x and y, is proportional if it can be expressed in the form y/x=k or y=kx.

The addition inequality 37 + x ≥ 42 can be used to determine how much taller William must be to ride the coaster, where x represents the additional height he needs to meet the height requirement.

To write an addition inequality to determine how much taller William must be to ride the coaster, we first need to convert his height to inches. Since he is 3 feet 1 inch tall, his height is (3 x 12) + 1 = 37 inches.

Let x be the amount of additional height William needs to ride the roller coaster. The inequality can be written as:

37 + x ≥ 42

This inequality ensures that William's total height after adding x must be greater than or equal to the required height of 42 inches to ride the roller coaster.

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To understand how to find the next coordinate based on coordinate trends, it's essential to know about coordinates and trends first. Coordinates are ordered pairs (x, y) representing a point in a 2-dimensional plane, and trends are the patterns or tendencies observed in the movement of these points.

To determine the next coordinate based on a trend, follow these steps:

1. Identify the pattern: Observe the given coordinates and try to identify any consistent pattern in the movement of x and y values. The pattern can be an arithmetic progression (constant addition or subtraction) or a geometric progression (constant multiplication or division).

2. Apply the pattern to find the next coordinate: Once you have identified the pattern, apply it to the most recent coordinate to find the next coordinate.

For example, if the given coordinates are (1, 2), (3, 4), and (5, 6), you can observe that the x values are increasing by 2 and the y values are also increasing by 2. This is an arithmetic progression. To find the next coordinate, add 2 to the x and y values of the most recent coordinate (5, 6). Therefore, the next coordinate will be (5+2, 6+2) = (7, 8).

To find the next coordinate based on coordinate trends, identify the pattern in the given coordinates and apply it to the most recent coordinate. This process allows you to predict the position of the next point based on the observed trends in the movement of the points.

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Answer:

To determine the maximum number of video games Leah can buy with the remaining money, we need to first calculate how much money she has left after buying the clothes and shoes.

Amount spent on clothes and shoes = $345

Amount left to spend = $500 - $345 = $155

Next, we need to determine the cost of each video game, including tax. If the sale price of each video game is $20, including tax, then we can assume that the actual price of each game before tax is less than $20. Let's assume that the actual price before tax is x. Then, if tax is added at a rate of t (where t is a decimal), the total price of the game including tax is:

Total price = x + t*x = x(1+t)

If the total price is $20, we can solve for x:

x(1+t) = $20

x = $20/(1+t)

We don't know the tax rate, but we can assume that it is a percentage of the actual price, and therefore less than 100%. Let's assume a tax rate of 10%, or t = 0.1. Then:

x = $20/(1+0.1) = $18.18

So each game costs $18.18 before tax.

Now we can calculate how many games Leah can buy with her remaining money:

Number of games = Amount left to spend / (Price per game + Tax per game)

= $155 / ($18.18 + 0.1*$18.18)

= $155 / $19.99

≈ 7.75

Since Leah cannot buy a fraction of a game, she can buy a maximum of 7 video games with the remaining money.

Step-by-step explanation:

hope this helps you

Answers:

To reach the breakeven point, how many attendees will that take?     117  

What will be the company's total expenses and revenues?      $1755  for each  

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Explanation:

x = number of attendees

C(x) = cost function for the company

C(x) = 14x+117

This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.

In contrast, the revenue is

R(x) = 15x

because each attendee brings in $15 for the company

The breakeven point is when the cost and revenue are the same. This produces a profit of $0.

R(x) = C(x)

15x = 14x+117

15x-14x = 117

x = 117

If 117 people attend the seminar, then the company breaks even.

To check this, we'll compute the cost and revenue

C(x) = 14x+117

C(117) = 14*117+117

C(117) = 1755

R(x) = 15x

R(117) = 15*117

R(117) =  1755

The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.

Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.

Answer:

X = 4

Step-by-step explanation:

-5/6x = -10/3

x = -10/3 * -6/5

x = 60/15

x = 4

Answer:

The result for this equation is \(x =4\) .

Step-by-step explanation:

Solve the equation for \(x\) :

\(-\frac{5}{6}x =-\frac{10}{3}\)

\(\frac{-\frac{5}{6}x }{-\frac{5}{6} } =\frac{-\frac{10}{3} }{-\frac{5}{6} }\)

\(x = 4\)

So, the answer for this equation is \(x =4\)  .

Based on the given information, the installation of solar panels on Julian's house appears to be financially viable, considering a discount rate of 3%. Yvonne's proposal to redevelop her property into a 4-storey hotel seems financially feasible, and Kelvin's decision to extend the repayment period of his loan will result in higher monthly payments and increased total interest paid.

For Julian's solar panel installation, the financial viability can be assessed by comparing the present value of cash inflows (savings on electricity fee) with the present value of cash outflows (initial cost, maintenance cost, replacement cost, dismantling cost, and salvage value). By discounting future cash flows at a rate of 3%, the net present value (NPV) can be calculated. If the NPV is positive, it indicates that the project is financially viable.

Yvonne's proposal for property redevelopment involves considering the costs of demolishing the existing building, constructing the hotel, design fees, land premiums, finance charges, and loss of income during redevelopment. The rental income from the hotel, considering the expected occupancy rate and market yield, needs to be compared with the costs to determine the financial feasibility. Calculating the net present value (NPV) of the project by discounting future cash flows can provide insights into its feasibility.

Possible catalysts for Yvonne to consider the change of land use could include market demand for hotels in the area, changes in tourism trends, or the potential for higher rental income from operating a hotel compared to a staycation business.

If Kelvin chooses to extend the repayment period of his loan from 15 years to 20 years, the monthly payments will be higher due to the longer repayment period. The total interest paid will also increase because the loan is extended over a longer duration, resulting in more interest accrual over time. The specific calculations can be performed using the loan amount, interest rate, and respective repayment periods.

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Answer:

B

Step-by-step explanation:

In a function the x value cannot repeat

As long as no x value repeats it is considered a function

In answer choice A the x value "1" repeats therefore table a is not a function

In answer choice B no x value repeats twice. This one might be the answer however lets check the other tables just to be safe.

In answer choice C the x value "-4" repeats multiple times therefore table C is not a function

In answer choice D the x value "1" and "2" repeat therefore table D is not a function.

Thus, the answer is B

The percentage of IQ scores greater than 64 is 100% - 1.06% = 98.94%.

We need to use the standard normal distribution and the standard score (z-score) formula to convert IQ scores to standard normal values in order to find the percentage of IQ scores greater than 64.

The standard scoring formula is as follows:

z = (x - μ) / σ

where x is the IQ score, is the IQ distribution's mean (98), and is the IQ distribution's standard deviation (17).

So, for an IQ of 64, the standard score is:

z = (64 - 98) / 17 = -2.35

With the standard score in hand, we can use a standard normal table or a z-score calculator to calculate the percentage of IQ scores greater than 64. A z-score of -2.35 indicates a probability of 0.0106. This means that 1.06% of IQ scores less than or equal to 64.

Therefore, the percentage of IQ scores greater than 64 is 100% - 1.06% = 98.94%.

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Answer:

17.03 inches

Step-by-step explanation:

Circumference = 2 π r

since circumference is 107 inches

Answer:

280 km

Step-by-step explanation:

Given that a bus, say \(b_1\), leaves a station traveling north at speed of  70km/hour.

Half an hour later the second bus, say \(b_2\),  leaves a station traveling north at speed of  70km/hour.

As, distance = speed x time,

so, the distance traveled by bus \(b_1\) in 0.5 hours = 70 x 0.5 = 35 km.

Note that, both the buses are traveling in the same direction and when the second bus leaves the station, the first bus already covered a distance of 35 km.

Let the second bus took \(t\) hours to meet the first bus and both the buses meet at a distance of \(d\) km from the station.

The distance traveled by the first bus from the station, \(d = 35 + 70t\) km

\(\Rightarroe t= \frac {d-35}{70}\cdots(i)\)

and the distance traveled by the second bus, \(d = 80t\) km

\(\Rightarrow t=\frac {d}{80}\cdots(ii)\)

Now, equation the equation (i) and (ii), we have

\(\frac {d-35}{70}=\frac {d}{80} \\\\\Rightarrow 8(d-35)=7d \\\\\Rightarrow 8d - 280 = 7d \\\\\Rightarrow 8d-7d=280 \\\\\Rightarrow d = 280 km\)

Hence, both the bus will meet at a distance of 280 km from the station.

Answer: 347.01

Step-by-step explanation:

Larger figure lxwxh= 7.5*3.95*7.5=222.1875

Smaller figure lxwxh= 8*3.95*3.95=124.82

Add 222.1875+124.82= 347.0075 rounded= 347.01

The initial amount of salt is 20 grams and the rate of change is equal to the difference between the rate at which salt enters the tank and the rate at which it leaves. This is expressed by the equation a'(t) = 1 - (a(t)/150)*3, where a'(t) is the derivative of a(t) with respect to time.

The function a(t) is given by a differential equation, which describes the rate of change of the amount of salt in the tank with respect to time.

To solve the differential equation, we can use separation of variables and integrate both sides with respect to t.

This gives us

ln|a(t)-50| = -3/50*t + C, where C is a constant of integration. Solving for a(t), we get

\(a(t) = 50 + Ce^(-3/50*t).\)

Using the initial condition a(0) = 20, we can solve for the constant C, which is C = -30.

Therefore, the function a(t) is \(a(t) = 50 - 30e^(-3/50*t).\). The function tells us the number of grams of salt in the tank at any given time t.

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Answer:

Step-by-step explanation:

22.50

The acute angle between the two given lines is 73 degrees.

Given lines are: 9x - y = 4

and 2x + y = 6

We know that the acute angle between the two given lines is given by:

\($$\theta = |\tan^{-1}(m_1) - \tan^{-1}(m_2)|$$\)

where \($m_1$\) and \($m_2$\)are the slopes of the given lines.

The given lines can be written in slope-intercept form as follows:

9x - y = 4 can be written as y = 9x - 4 and slope of this line is m1 = 9

2x + y = 6 can be written as y = -2x + 6 and slope of this line is m2 = -2

Now, the acute angle between the two lines is given by: \($$\theta = |\tan^{-1}(m_1) - \tan^{-1}(m_2)|$$\)

Putting in the values of slopes, we get\($$\theta = |\tan^{-1}(9) - \tan^{-1}(-2)|$$\)

⇒\($$\theta \approx 73^\circ$$\)

Therefore, the acute angle between the two given lines is 73 degrees (rounded to the nearest degree).Hence, the required angle is 73 degrees.

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Answer: I- 81 pints,  II-9 pints

Step-by-step explanation:

Given

The first type of juice has 30% pure Juice

The second type of juice has 80% pure Juice

The final mixture has 95 pints of 35% pure juice

Suppose we take x pints from the first Juice

So, the second Juice contributes 90-x

for 35% content

\(\Rightarrow 35=\dfrac{x\times 30+(90-x)80}{90}\\\\\Rightarrow 3150=30x+7200-80x\\\\\Rightarrow 50x=4050\\\Rightarrow x=81\ \text{pints}\)

First contributes 81 pints. second contributes 9 pints

Answer:

16/5

Step-by-step explanation:

Answer:

16/5

Step-by-step explanation:

When you move the numerator and denominator. (aka. flip)

Answer:

\(\rightarrow \boxed{\sf{y-5=4(x-1)}}\)

Step-by-step explanation:

Point slope form:

\(\sf{y-y_1=m(x-x_1)}\)

m represents the slope.

y-5=4(x-1)

Slope-intercept form:

\(\sf{y=mx+b}\)

m represents the slope.

b represents the y-intercept.

So, the slope-intercept form is y=4x+1.

Therefore, the correct answer is y-5=4(x-1).

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

31%

Step-by-step explanation:

4222÷6101=.69

1879÷6101=.31 is the percent of graduates