which type of function is shown in the table below?

The expression will give you the equivalent amount of the car after 9 years at an annual interest rate of 6% compounded quarterly.

To calculate the equivalent amount of the car after 9 years at an annual interest rate of 6% compounded quarterly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:
A = final amount
P = principal amount (initial amount)
r = annual interest rate (in decimal form)
n = number of times interest is compounded per year
t = number of years

Given that the car is to be paid P15,000 at a 9% interest rate, we need to find the equivalent amount after 9 years at a 6% annual interest rate compounded quarterly.

P = 15,000
r = 6% = 0.06
n = 4 (quarterly compounding)
t = 9

Plugging in these values into the formula:

A = 15,000(1 + 0.06/4)^(4*9)

Calculating this expression will give you the equivalent amount of the car after 9 years at an annual interest rate of 6% compounded quarterly.

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Answer:

-0.25

Step-by-step explanation:

rise/run=2/8

= 0.25

ans is negative because line is going down

Answer:

2/-8 = -1/4 or -0.25 in decimal

Step-by-step explanation:

To find the slope take two distinguishable points on the graph(integer values preferred).

Find the difference in the y values and divide by the corresponding difference in the x values

You can identify 2 points with integer coordinates as

(-5, 3) and (3, 1)

Difference in y values = 3 - 1 = 2

Corresponding difference in x values : -5 - 3 = -8

So slope is 2/-8 = -1/4 or -0.25 in decimal

Huw's answer of 9 days is incorrect because more guests would finish the food in less time so the number of days for 30 guests is less than 6 days.

The number of days that the food can last 30 guests is 4 days.

More guests would eat the food faster which means that it would be finished in less days than the 6 days used by 20 guests.

To find the days the food would last 30 guests, use the inverse proportion formula:
= (Number of guests x Number of days food lasts for guests) / New number of guests

= (20 x 6) / 30

= 4 days

Full question is:

The only food provided for guests at Seaview Hotel is breakfast. The hotel has enough food to make breakfast for 20 guests for 6 days. How long would the food last 30 guests? You may assume each guest eats the same amount of food for breakfast.

Without working out the correct answer, explain why Huw’s answer of 9 days is incorrect.

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Histograms visualize the distribution and spread of data. A higher standard deviation implies greater variability in the data points. In a histogram, a wider shape indicates a larger spread of data and thus a higher standard deviation. Therefore, the histogram with a broader shape depicts a higher standard deviation.

To determine which histogram depicts a higher standard deviation, we need to look for the histogram with a greater spread or dispersion of data. In a histogram, a higher standard deviation indicates that the data points are more spread out or have a larger variability. This means that the values are more scattered from the mean. Therefore, the histogram with a wider and more spread-out shape would depict a higher standard deviation, as it indicates a greater variability in the data.

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Answer:

The domain is found depending on the information you're given. In a table, the domain is found by taking all the x values given and listing them least to greatest. Same with ordered pairs. In a graph, the domain is found by first seeing if there are any restrictions and then find the x values that work and have one output.

The range is found the same way, but with the y values.

Hope this helps!!

Answer:

D) the bigger circle

Step-by-step explanation:

It’s B

Because I did it on USA test prep

Answer:

D. 4

Step-by-step explanation:

Let's look at all the options first. All of the options are below 7 and 10, hence we can deduce that it is not the hypotenuse. Looking at 7 and 10, we see that 10 is the larger number, and hence we know that 10 is the hypotenuse.

Hence, as the other two sides added up in a triangle must be larger than the hypotenuse, the only available option is 4, since 4 + 7 = 11 > 10.

Hope this helped!

Solution:-

Given that length of rectangle is 3 ft more than its breadth . Also , perimeter of rectangle is 62 ft . And we are asked to find the Length and breadth .

So , we know we can find perimeter of rectangle as :

\(\boxed{\red{\bf \dag Permiter_{rectangle}=2(l+b)}}\)

Now , let us take the

So , as per Question :

\(\tt :\implies Perimeter=2(l+b)\)

\(\tt :\implies 62 \cancel{ft.} = 2( x + 3 + x ) \cancel{ft.} \)

\(\tt :\implies 62 = 2 ( 2x + 3 ) \)

\(\tt :\implies 62 = 4x + 6 \)

\(\tt :\implies 4x = 62 - 6 \)

\(\tt :\implies4x = 56. \)

\(\tt :\implies x =\dfrac{\cancel{56}}{\cancel{4}} \)

\(\underline{\boxed{\red{\tt\longmapsto \:\:x\:\:=\:\:14}}}\)

Hence we got x as 14 .

So , let's put the value in our assumption:

The coordinates of the point P is P(x, y) = (- 1, - 10 / 7). (Correct choice: B)

In this problem we find the coordinates of two points on Cartesian plane, of which we must determine the location of a third point by using a formula based on a weight average-like formula:

P(x, y) = (4 / 7) · A(x, y) + (3 / 7) · B(x, y)

P(x, y) = (4 / 7) · (- 4, 2) + (3 / 7) · (3, - 6)

P(x, y) = (- 16 / 7, 8 / 7) + (9 / 7, - 18 / 7)

P(x, y) = (- 7 / 7, - 10 / 7)

P(x, y) = (- 1, - 10 / 7)

The coordinates of the point P is P(x, y) = (- 1, - 10 / 7).

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Step-by-step explanation:

Scale factor of DEF : ABC = 5 : 15 = 1 : 3.

Hence perimeter of ABC = 12ft * 3 = 36ft.

Answer:

Only A. a=3

Step-by-step explanation:

Because since 7+a<11 then that means a have to be 3 or below... good luck!

Answer:

A) a=3

When a=3 7+3=10 which satisfy that 7+a<11 in which 10<11

Answer:

The value of \(b\) is 2.

Step-by-step explanation:

The standard form of the equation of the line is of the form:

\(y = m\cdot x + k\)

Where:

\(x\), \(y\) - Independent and dependent variable, dimensionless.

\(m\) - Slope, dimensionless.

\(k\) - y-intercept, dimensionless.

Given that line \(l\) is perpendicular to \(y = -\frac{2}{3}\cdot y\), the slope is equal to:

\(m = -\frac{1}{m_{\perp}}\)

Where \(m_{\perp}\) is the slope of the perpendicular line, dimensionless.

If \(m_{\perp} = -\frac{2}{3}\), then:

\(m = -\frac{1}{\left(-\frac{2}{3}\right) }\)

\(m = \frac{3}{2}\)

If \(x = 0\) and \(y = -13\), the y-intercept of the line \(l\) is:

\(-13 = \frac{3}{2}\cdot (0) +k\)

\(k = -13\)

The equation of the line \(l\) is \(y = \frac{3}{2}\cdot x -13\). Given that \(y = b\) and \(x = 10\), the value of \(b\) is:

\(b = \frac{3}{2}\cdot (10)-13\)

\(b = 15-13\)

\(b = 2\)

The value of \(b\) is 2.

Answer:

I can't really see it

Step-by-step explanation:

The change in the breaking weight of the pennies for each increase in one unit of the length of the bridge is dependent on several factors.

These factors include the material and design of the bridge, the weight and distribution of the load on the bridge, and the strength and composition of the pennies themselves.

For example, if the bridge is made of a strong, sturdy material like steel, and the load on the bridge is evenly distributed, then the breaking weight of the pennies may not change significantly with each increase in one unit of the length of the bridge. However, if the bridge is made of a weaker material or has an uneven distribution of weight, then the breaking weight of the pennies may decrease with each increase in one unit of the length of the bridge.

Additionally, the strength and composition of the pennies themselves can also impact the change in breaking weight. If the pennies are made of a weaker material, they may break more easily, resulting in a larger decrease in breaking weight with each increase in one unit of the length of the bridge.

In summary, the change in breaking weight of the pennies for each increase in one unit of the length of the bridge is dependent on several factors, including the material and design of the bridge, the weight and distribution of the load on the bridge, and the strength and composition of the pennies themselves.

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Answer: The answer is state B because there is less variability in larger populations so estimates from samples are more accurate. The standard error of the mean is proportional to the standard deviation of the population and inversely proportional to the square root of the sample size. Since state B has a much larger population, it is more likely that our sample mean will be within $80 of $2,600 for state B than for state A.

Step-by-step explanation:

Answer:

Step-by-step explanation: What you should do is multiply the answer then add it. 4x6 = 24 4+6=10

so add 24 + 10 and that will equal 34.

Answer:

18 pillows

Step-by-step explanation:

12 yards of fabric divided by 2/3 is 18. Therefore, 18 pillows at an be made.

Hope this helps :)

Answer:

B= 2

Step-by-step explanation:

4b+14=22

   -14  -14

4b=8

/4   /4

b=2

The value of b in the expression is,

b = 2

We have to given that,

An expression to simplify,

4b + 14 = 22

Now, We can simplify it as,

4b + 14 = 22

Subtract 14 both side,

4b + 14 - 14 = 22 - 14

4b = 8

Divide by 4;

b = 8/4

b = 2

Therefore, The solution of expression is,

b = 2

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Answer:

Please check the explanation.

Step-by-step explanation:

Part a)

Given

It is clear that m∠ABD and m∠CBD lie on a straight line.

Thus, the sum of m∠ABD and m∠CBD will be 180°.

Hence,

m∠ABD and m∠CBD are supplementary angles.

Part b)

As m∠ABD and m∠CBD are supplementary angles, so the sum of m∠ABD and m∠CBD will be 180°.

Thus,

m∠ABD + m∠CBD = 180°

substitute m∠ABD = (7q-46)° and m∠CBD = (3q + 6)°

(7q-46)° + (3q + 6)° =  180°

Part c)

Given the equation

(7q-46)° + (3q + 6)° =  180°

Combining the like terms

7q + 3q - 46 + 6 = 180

10q - 40 = 180

10q = 180 + 40

10q = 220

divide both sides by 10

10q/10 = 220/10

q = 22

Therefore, the value of q = 22

Part d)

As

m∠ABD = (7q-46)°

substituting q = 22

m∠ABD = 7(22) - 46

             = 154 - 46

             = 108°

also

m∠CBD = (3q + 6)°

substituting q = 22

m∠CBD = 3(22) + 6

              = 66+6

              = 72°

Therefore,

Answer:

5.333333333333

Step-by-step explanation:

converts to 5 1/3

Answer:

x+2y+z+80=360°

Step-by-step explanation:

the sum of the interior angles in a quadrilateral is 360°, so the answer is: x+2y+z+80=360°

Answer:

Option 4 - x+2y+z+80=360degrees is the correct answer.

Step-by-step explanation:

As given in the figure, it is a quadrilateral, and as all the angles in this quadrilateral are interior angles, the sum of the interior angles of a quadrilateral will be 360 degrees.

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Answer:

28x^2+3x-18

Step-by-step explanation:

Formula: (a+b)(a+b) = a^2 + a*b + a*b + b*b

Following this: 28x^2 -21x +24x -18

Then you combine like terms: 28^2 +3x-18

hope this helped!! :)

Answer:

\(28x^{2} + 3x - 18\)

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Yes, the conditions for constructing a 90% confidence interval for the difference in the true mean growth of all large- and small-cap stocks for the last 60 days are met.

Shares of businesses having a market value between $300 million and $2 billion are considered small-cap stocks. Small-cap firms have the potential for rapid development, which makes them attractive investment targets even if their stocks may be more volatile and carry greater risks for buyers.

Large-cap stocks, commonly referred to as large caps, are stocks that are traded for businesses with a market value of at least $10 billion. Because investors gravitate toward quality and stability and become more risk-averse during challenging markets, large-cap companies often exhibit lower volatility.

Thus, the conditions for constructing a 90% confidence interval for the difference in the true mean growth of all large- and small-cap stocks for the last 60 days are met.

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Answer:

Step-by-step explanation:

Since the triangles are equivalent,

3x - 2 = 5

Solve for x.

3x = 7

x = 7/3

Answer:

x = 25 degrees

Step-by-step explanation:

90 - 40 = 50

50/2 = x

x = 25

Hopefully this helps- let me know if you have any questions

Answer:

25

Step-by-step explanation:

dfsdfj[sidhf[osajdf[aj mark him brainliest

The solution to the initial value problem is ln3x²+ 6x - 3y = x²+ 2x - y + ln6- 2

To solve the given initial value problem, use the method of separable variables.

The initial value problem is:

(dy/dx) + (3y)/(x+2) = 3x

y(1) = 1

To begin, the equation in a more suitable form:

(dy/dx) = 3x - (3y)/(x+2)

The variables by moving all terms involving y to one side and terms involving x to the other side:

(dy)/(3x - (3y)/(x+2)) = dx

find a common denominator for the right side:

(dy)/((3x(x+2) - 3y)/(x+2)) = dx

Simplifying further:

(dy)/((3x² + 6x - 3y)/(x+2)) = dx

multiply both sides of the equation by (x+2) to get rid of the denominator:

(x+2) × (dy)/(3x² + 6x - 3y) = dx

now integrate both sides:

∫(x+2) × (dy)/(3x² + 6x - 3y) = ∫dx

To solve the integral on the left side,  use the substitution u = 3x² + 6x - 3y. Taking the derivative of u with respect to x, we have du/dx = 6x + 6. Rearranging,  dx = (1/6)(du/(x+2)). Substituting these into the integral, we have:

∫(x+2) × (dy)/(3x² + 6x - 3y) = ∫(1/6)(du/(x+2))

Now the integral becomes:

∫(1/6) ×(du/u) = ∫(1/6) ×du

Applying the integral:

(1/6) × ln u = (1/6) × u + C

Replacing u with its original expression,

(1/6) × ln3x² + 6x - 3y= (1/6) × (3x²+ 6x - 3y) + C

Simplifying:

ln3x² + 6x - 3y = x² + 2x - y + C

use the initial condition y(1) = 1 to solve for C. Substituting x = 1 and y = 1 into the equation:

ln3(1)² + 6(1) - 3(1) = (1)² + 2(1) - 1 + C

ln3 + 6 - 3 = 1 + 2 - 1 + C

ln6 = 2 + C

C = ln6 - 2

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