Select the correct answer from the drop-down menu.
A bank randomly surveyed 50 of its customers by mail to find out how customers use its mobile banking service. The survey found that only 11 of the 50 customers used the service.

Mateo needs to save at least $408.33 every month to reach his goal of paying off the remaining tuition cost at the end of 12 months.

Rent or a car payment are examples of monthly costs that are fixed expenses. On the other hand, a variable expense is one that can vary from month to month, like food or entertainment. Variable expenses demand greater flexibility in budgeting because the cost can change, but fixed expenses are often easier to prepare for because the amount is constant.

Given that, cost of tuition fee is $9,600 for the first year.

Now, Mateo's parents will pay for one-third of the tuition thus:

1/3 x $9,600 = $3,200

From the saving the money used is $1500 thus the remining cost is:

$9,600 - $3,200 - $1,500 = $4,900

For 12 months in a year we have:

$4,900 / 12 = $408.33

Hence, Mateo needs to save at least $408.33 every month to reach his goal of paying off the remaining tuition cost at the end of 12 months.

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Answer:

i think it’s $3,792

Step-by-step explanation:

11 • 10 = 110 and 12 • 4 = 48 so 110 + 48 = 158 and 158 • 24 = 3,792

Answer:

75

Step-by-step explanation:

divide 4 by 300 and then you will get the answer of 75. I'm so sorry if this is wrong

The revised Doubtful Debts Provision should be, $4,555.

Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):

Net Debts x Provision Rate equals Adjusted PDD.

The computation would then be:

= $91,100 x 0.05

= $4,555 is the adjusted PDD.

Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,

= $4,555 - $3,500

= $1,055

Hence, The revised Doubtful Debts Provision should be $4,555.

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Answer: 172 ounces

Step-by-step explanation:

We are given 10 pounds and 12 ounces to convert to ounces.

There are 16 ounces in 1 pound.

We can create a proportion to find out how much ounces 10 pounds is.

10 pounds / x ounces = 1 pound / 16 ounces

We need to solve for x by isolating the variable x.

10/x = 1/16

10 = x/16

10 * 16 = x

160 ounces = x

so 10 pounds is equivalent to 160 ounces. But we are not done yet.

We were asked to convert 10 pounds and 12 ounces.

So add together the ounces to find the total ounces:

160 ounces + 12 ounces = 172 ounces.

Answer:

FH = 35.64

Step-by-step explanation:

(∠A = 360 so the other angle is 40)

By law of cosines,

FH² = AH² + FA² - 2(AH)(FA) * cos(A)

= 30² + 25² - 2(30)(25) * cos(80)

= 900 + 625 - 1500 * 0.17

= 1525 - 255

FH²  = 1270

FH = √1270

FH = 35.64

The difference in the addition of both fractions is that they have different lowest common multiples.

We want to add the fraction expression given as:

¹/₂ + ¹/₄

Taking the Lowest common multiple of 8, we have:

(4 + 2)/8 = 6/8

However, for the second fraction expression, we have:

¹/₂ + ¹/₃

Taking the lowest common multiple which is 6, we have:

(3 + 2)/6 = 5/6

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The solution that makes both expressions true is x = 8.55556 and y = 10.31746.

To solve for x and y, we need to use a system of equations involves finding the values of x and y that satisfy both equations simultaneously.

We can start by using the first equation to solve for x:

2x + 7x = 77

Combining like terms:

9x = 77

Dividing both sides by 9:

x = 8.55556 (rounded to six decimal places)

Now that we know the value of x we can use either equation to solve for y. Let's use the second equation:

5x + 7y = 115

Substituting x = 8.55556:

5(8.55556) + 7y = 115

Simplifying:

42.7778 + 7y = 115

Subtracting 42.7778 from both sides:

7y = 72.2222

Dividing both sides by 7:

y = 10.31746 (rounded to six decimal places)

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Answer:

a. unbounded

e. x ≤ 9

Step-by-step explanation:

The interval means all real numbers less than or equal to 9.

Since all numbers to negative infinity are included, it is unbounded.

a. unbounded

e. x ≤ 9

A sketch looks like a number line with a solid dot at 9 and an line pointing left with an arrowhead at the left pointing left.

Answer:

b. unbounded

e. x ≤ 9

Step-by-step explanation:

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

A bounded interval is an interval that includes both its endpoints.

For the interval (-∞, 9]:

Therefore, the given interval is unbounded.

Inequality notation

Therefore, the given interval is represented by the inequality x ≤ 9.

To sketch the graph on a number line:

To sketch the graph on a coordinate plane:

Answer:

p=10

Step-by-step explanation:

-7+p=3

+7-7+p=3+7

p=10

Answer:

Hello! The answer to this question is 10.

Step-by-step explanation:

You have to get p by itself so we will add 7 to both sides:

-7 + p = 3

+7        +7

-------------

p = 10

When doing so, we get p = 10.

You can check your work:

-7 + 10 ⇒ 10 - 7 = 3

Therefore, p = 10 is the correct answer.

Answer:   get smarter

Step-by-step explanation: hehe

Answer:

5 measuring spoons of yeast

Step-by-step explanation:

A bread recipe requires that 5/8 teaspoon of yeast be added to flour and water. Alejandro has only a 1/8-teaspoon measuring spoon.

= 5/8 ÷ 1/8

= 5/8 × 8/1

= 5 measuring spoons

Hope this Works! :)

Answer:

Hello, The answer to your question is,

\(x=\) −\(\frac{2}{t^3}\)

hope this help :)
(correct me if i am wrong and im sorry)

Step-by-step explanation:

The equation of the sinusoidal model is y = 2 · sin (4 · x) + 3.

Sinusoidal models are periodic equations that use trigonometric functions and are defined by the following equation:

y = A · sin (2π · x / T) + B       (1)

Where:

The amplitude is equal to the half of the difference between maxima and minima:

A = (5 - 1) / 2

A = 4 / 2

A = 2

The midpoint is equal to the average of the minima and maxima:

B = (5 + 1) / 2

B = 6 / 2

B = 3

The period is the "horizontal" distance in which a cycle is completed:

T = 0.5π

Then, the equation of the sinusoidal model is:

y = 2 · sin (2π · x / 0.5π) + 3

y = 2 · sin (4 · x) + 3

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Answer:

623

Step-by-step explanation:

Given that margin of error (E) = 3 unit, standard deviation (σ) = 29, sample size (n) = ?

a) The confidence (C) = 99% = 0.99

α = 1 - C = 1 - 0.99 = 0.01

α/2 = 0.01 / 2 = 0.005

From the normal distribution table, The z score of α/2 (0.005) is the critical value and it corresponds to the z score 0.495 (0.5 - 0.005) which is 2.58.

\(critical\ value = z_{\frac{\alpha}{2} }=z_{0.005}=2.58\\\)

b) The margin of error (E) is given as:

The minimum sample size (n) is 623

Answer:

Here is the picture

Step-by-step explanation:

The number lies between x-values 4 and 6 and y-values 6 and 9.

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

Given that scatter plot lies in quadrant 1 of a coordinate plane, and the 14 points are plotted in the first quadrant.

We need to find the range of x and y values for this scatter plot.

The x values of the 14 points are given as;

2, 4, 4,1, 5, 5, 5, 5, 6, 6, 7, 8, 9.5, 9.5

The y values of the 14 points are given as;

5, 6, 9, 7.2, 6, 6.8, 8, 9, 7, 8.5, 10, 10.5, 9.5, 11.4

We can conclude that that most of the points are clustered between x-values 4 and 6 and y-values 6 and 9.

Therefore, the points are clustered between the x-values 4 and 6 and y-values 6 and 9.

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The complete question is

Select the correct answer. Scatter plot in quadrant 1 of a coordinate plane. 14 points are plotted at (2, 5), (4, 6), (4, 9), (4.1, 7.2), (5, 6), (5, 6.8), (5, 8), (5, 9), (6, 7), (6, 8.5), (7, 10), (8, 10.5), (9.5, 9.5), and (9.5, 11.4). Between which x-values and y-values does the cluster in this scatter plot lie? A. It lies between x-values 2 and 4 and y-values 4 and 6. B. It lies between x-values 4 and 6 and y-values 9 and 10. C. It lies between x-values 4 and 6 and y-values 6 and 9. D. It lies between x-values 7 and 9 and y-values 10 and 11.

it is a polygon and it would be a decagon since there are 10 sides

Answer:

It is a polygon, hexagon.

Step-by-step explanation:

Types of polygons include: Triangle, quadrilateral, Pentagon, hexagon, heptagon, octagon, nonagon, and decagon. a hexagon has 6 sides this has 8 so it isn't a hexagon but it can be a decagon so it's the second answer.

The required volume of the given rectangular prism is given as 240 in ³.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
From the data we have,
Length of the rectangle prism = 12 in
Width of the rectangle prism = 2 in
Height of the rectangle prism = 10 in

The volume of the rectangular prism = length × width × height
                                                 = 12 × 2 × 10
                                                 = 240 in ³

Thus, the required volume of the given rectangular prism is given as 240 in ³.

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The question is incomplete.
Complete question is," Calculate the volume of the prism of dimensions length, width and height are 12, 2, and 10 respectively. "

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer:

Quadrants 3 and 4

Step-by-step explanation:

Quadrants 3 &4 represent negative integers. If 0 on the x axis represents the average/mean number of people there, then 3& 4 show the decrease from the average number.

The requried measures of the arc in the given circle are shown below.

From the figure,
(a)

Following the complementary angle theorem,

mEF = 90°-mGE
mEF=90-65 = 35°

(d)

Arc mGBD consist of mGB and mBD.

mGBD = mGB+mBD
           = 90 + 30
           = 120°

Similarly,
(b) mDE= 150°
(c) mBEF= 125°
(e) mBGF= 155°
(f) mBFD= 330°

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Answer:

4(n-16)

Step-by-step explanation:

4 Four

( ) Times

n number

16 16

- difference

Step-by-step explanation:

\(9.16 = 585288 { \sqrt[5 < 63 = 33 \times \\ ]{?} }^{?} \)

Answer: Its 0.75 hours :)

Answer:

three angle one slide

Step-by-step explanation:

Answer:

B) 0.15 Pr (B)

Step-by-step explanation:

A is the event that a policyholder is classified as low-risk.

B is the event that a policyholder suffered a loss.

P(A∩B) is the probability that a low risk policyholder suffered a loss is 15%.

P(A∩B)= 15%= 15/100= 0.15

P(B∩A) is the  probability that a policyholder who suffered a loss is low-risk is = 5%= 5/100= 0.05

Intersection means finding those elements which are common to both sets. Now we have to find those elements of A which are common to B. This is already given in the statement above and is 15 %.

Hence

P(A∩B)= 15%= 15/100= 0.15

Choice B is the correct answer.

The equation that relates x and y is y = (1/3)x if the variables x and y vary directly and x = 18, y = 6.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

The question is incomplete.

The complete question is:

The variables x and y vary directly. Use the given values to write an equation that relates x and y. x = 18 y = 6

From the question:

y ∝ x

y = kx ..(1)

k is the constant of proportionality after removing the proportional sign.

Plug x = 18 and y = 6

6 = 18k

k = 1/3

Plug the value of k in the equation (1)

y = (1/3)x

Thus, the equation that relates x and y is y = (1/3)x if the variables x and y vary directly and x = 18, y = 6.

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Let's assume that the number of diners at the Italian restaurant is "x" and the number of diners at the Mexican restaurant is "y". Then, we can write the following equations based on the given information:

Italian restaurant:

Donation = $462 + $1 per diner

Donation = $462 + $1x

Mexican restaurant:

Donation = $235 + $2 per diner

Donation = $235 + $2y

Since both restaurants will donate the same total amount, we can set their donations equal to each other:

$462 + $1x = $235 + $2y

Simplifying this equation, we get:

$2y - $1x = $227

We know that the number of diners has to be a whole number, so we can try different values of x and see which one gives us a whole number for y.

For example, if we try x = 200, then we can solve for y:

$2y - $1(200) = $227

$2y = $427

y = 213.5

Since y is not a whole number, we need to try a different value of x. If we try x = 250, then we get:

$2y - $1(250) = $227

$2y = $477

y = 238.5

Again, y is not a whole number, so we try another value of x. If we try x = 300, then we get:

$2y - $1(300) = $227

$2y = $527

y = 263.5

Still not a whole number, so we try x = 350:

$2y - $1(350) = $227

$2y = $577

y = 288.5

Finally, we get a whole number for y, so we have our solution:

Italian restaurant: x = 350 diners, donation = $812

Mexican restaurant: y = 289 diners, donation = $812

Therefore, 350 diners promised to participate and each restaurant would donate $812.

Answer:

-8/3

Step-by-step explanation:

since it's going downwards it's negative and it does 4y by x square so it would be -8/3

, hope it helps

The equation of the hyperbola with foci at (±3,0) and vertices at (±2,0) is\((x^2 / 4) - (y^2 / 5) = 1\).

To find the equation of a hyperbola, we need to determine its center, vertices, and foci. In this case, we can observe that the hyperbola is centered at the origin (0, 0) since the foci and vertices lie along the x-axis.

Let's denote the distance between the center and each focus as c, and the distance between the center and each vertex as a. In this scenario, the foci are located at (±3, 0), and the vertices are at (±2, 0).

From the given information, we can deduce that c = 3 and a = 2. Now, we can calculate the value of b using the relationship between a, b, and c in a hyperbola:

\(c^2 = a^2 + b^2\)

Plugging in the values, we have:

\(3^2 = 2^2 + b^2\\9 = 4 + b^2\\b^2 = 9 - 4\\b^2 = 5\)

Now we have all the necessary values to write the equation of the hyperbola. Since the foci lie on the x-axis and the center is at the origin, the equation of the hyperbola in standard form is:

\((x^2 / a^2) - (y^2 / b^2) = 1\)

Plugging in the values for a and b, we get:

\((x^2 / 2^2) - (y^2 / 5) = 1\\(x^2 / 4) - (y^2 / 5) = 1\)

Therefore, the equation of the hyperbola with foci at (±3,0) and vertices at (±2,0) is\((x^2 / 4) - (y^2 / 5) = 1\).

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