Luis earns puts $500 in the bank with a 3.5% interest
rate. How much interest does he earn after 5 years?

Answer:

Positive one

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

The resulting equation in the vertex form is  \((y-4)=-(x-4)^2\) having the vertex at the point (4,4).

Step-by-step explanation:

The given function is f(x) = -x² + 8x-7.

As the given function is translated 5 units down, so, subtract 5 units in the given function.

The resulting function, y = f(x) -5

\(\Rightarrow y= - x² + 8x - 7 - 5 \\\\\Rightarrow y = - x² + 8x - 12\)

Now converting the obtained equation to vertex form,

\(y= - x² + 8x - 12 \\\\\Rightarrow y = -(x^2-8x+12) \\\\\)

Adding and subtraction 4 as

\(y= -(x^2-8x+12+4-4) \\\\\Rightarrow y= -(x^2-8x+16-4) \\\\\Rightarrow y= -((x-4)^2-4) \\\\\Rightarrow (y-4)=-(x-4)^2\)

The vertex of the above equation is (4,4).

Hence, on translating five units in the downwards direction, the resulting equation in the vertex form is  \((y-4)=-(x-4)^2\) having the vertex at the point (4,4).

On translating five units in the downwards direction, the resulting equation in the vertex form is (y-4)=-(x-4)² having the vertex at the point (4,4).

The given function is f(x)= -x²+8x-7.

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other.

When the shape is moved down by k units, then replace y with y - k.

The function f(x) = -x² + 8x-7 is translated five units down.

That is, y=f(x)-5

y=-x² + 8x-7-5

y=-x² + 8x-12

Subtract 4 on both the sides of an equation, we get

(y-4)=-x² + 8x-12-4

(y-4)=-x² + 8x-16

(y-4)=-(x²-8x+16)

(y-4)=-(x-4)²

Hence, on translating five units in the downwards direction, the resulting equation in the vertex form is (y-4)=-(x-4)² having the vertex at the point (4,4).

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In the given parallelogram vwxy: x = 3; m∠Y = 65° and ∠YVX = 61° by (alternate interior angle).

A quadrilateral with the opposing sides parallel is called a parallelogram (and thus opposite angles equal).

In the given parallelogram vwxy:

Parallel sides are equal.

So, 2x = 6

x = 6/2 = 3

Opposite pair of angles are also equal.

So,

∠W = ∠Y = 65°

Now,

∠YVX = 61° (alternate interior angle).

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The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height. In this case, we have:

V = 5 x 3 x 8

V = 120 cubic inches

The price of the popcorn is not given, so we cannot calculate the price per cubic inch.

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The number that must be added to the positive difference of 4³/10 and 7⅔ to obtain 25​ is 21 \(\frac{19}{30}\)

A mixed number is a non-integer that is made up of a whole number, a numerator and a denominator. An example of a mixed number is 21 \(\frac{19}{30}\).

The first step is to determine the positive difference between the mixed numbers. If the difference is positive, it means that the smaller fraction was subtracted from the larger fraction.\(7\frac{2}{3} - 4\frac{3}{10}\)

\(3\frac{20 - 9}{30}\) = \(3\frac{11}{30}\)

The next step is to subtract 3 11/30 from 25

25 -  \(3\frac{11}{30}\) = 21 \(\frac{19}{30}\)

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Answer:

49a²b² - 9c²

Step-by-step explanation:

(7ab+3c)(7ab-3c)

= 49a²b² - 21abc + 21abc - 9c²

= 49a²b² - 9c²

So, the answer is 49a²b² - 9c²

Answer: 49a²b² - 9c²

Step-by-step explanation:

     We will apply the difference of two squares formula:

(7ab+3c)(7ab-3c)

(7ab)² - (3c)²

49a²b² - 9c²

The cubic equation x³ = 8125 has only one solution because it has no other variable. Then the value of x is 20.104.

The solution of the equation means the value of the variable.

The given equation is x³ = 8125.

Taking the cube root, then we have

x = ∛8125

x = 20.1036 ≈ 20.104

The cubic equation x³ = 8125 has only one solution because it has no other variable. Then the value of x is 20.104.

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The Central Limit Theorem states that for a random sample of n observations drawn from any population with a finite mean μ and a finite standard deviation σ, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

To apply the Central Limit Theorem, the following condition is necessary:

1. The random sample should be selected from a population that has a finite mean (μ) and a finite standard deviation (σ).

In this case, the population mean is given as $75 and the population standard deviation is given as $5. Since both the mean and standard deviation are finite, the condition for applying the Central Limit Theorem is satisfied.

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The size of the square to cut is 5/3 inches and the maximum volume of the box is 266.67 cubic inches.

To find the size of the square to cut and the maximum volume, we can follow these steps:

Let's call the length of each side of the square to be cut x inches. So the dimensions of the base of the box would be (16-2x) inches by (10-2x) inches.

The height of the box would be x inches since we are folding up the sides.

The volume of the box can be found by multiplying the length, width, and height: V = (16-2x)(10-2x)x.

To find the maximum volume, we can take the derivative of V with respect to x and set it equal to zero, since the maximum volume occurs at a critical point.

After taking the derivative and simplifying it, we get the equation 24x^2 - 520x + 1600 = 0.

Solving this quadratic equation, we get x = 5/3 or x = 20/3. Since x must be less than 5 (the length of the shorter side), the only feasible solution is x = 5/3 inches.

Plugging this value of x back into the equation for the volume, we get V = (16-2(5/3))(10-2(5/3))(5/3) = 266.67 cubic inches.

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From 48 cups, total 192 servings can be made.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that.

Number of cups uses to make 12 servings = 3

To make serving from 3 gallons,

Use ratio property,

Since, 1 gallon = 16 cups.

3 gallons = 16 x 3 cups

3 gallons = 48 cups

3 cups of milk are required to make 12 servings,

From 48 cup total serving = 12 x 16 = 192

from 48 cups total 192 servings can be made.

Hence, Total 192 servings can be made from 3 gallons.

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On solving the provided question we can say that the equation was amount of tip would be = 15/100 * 45 and total bill = $51.75

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

Amount for dinner= $45.00

Rate of tip = 15%

amount of tip would be =

15/100 * 45 = $6.75

total bill = 45 + 6.75 = $51.75

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The optimal number of each type of baseball bat to be produced is

given by linear programming.

(a) The variables are;

(b) The objective quantity is profit

(c) The system of inequalities are;

(d) Please find attached the graph of the system of inequalities created with MS Excel;

(e) The number of each type to be produced to maximize profit are;

Time to trim and turn the Homer-Hitter = 8 hours

Time it takes to finish the Homer-Hitter = 2 hours

Profit each Homer-Hitter sold, makes = $17

Time to trim and turn the Big Timber = 5 hours

Time to finish the Big Timber = 5 hours

Profit each Big Timber sold, makes = $29

Total available time for trimming and lathing = 80 hours

Total time for finishing = 50 hours

(a) The variables to be used to describe the constraints in the situation are;

(b) A general objective of a manufacturing company is profit, and the objective equation is therefore;

(c) The system of inequalities which describes the given constraints are presented as follows;

(d) The equations for the graph are therefore;

\(y \leq \dfrac{80}{5} - \dfrac{8}{5} \cdot x = 16 - \dfrac{8}{5} \cdot x = 16 - 1.6 \cdot x\)

\(y \leq \dfrac{50}{5} - \dfrac{2}{5} \cdot x = 10 - \dfrac{2}{5} \cdot x = 10 - 0.4 \cdot x\)

Which gives;

The vertices of the feasible region are;

(e) The profits at the margins of the feasible region are;

Profit at (0, 10), P = 17 × 0 + 29 × 10 = 290

Profit at (5, 8), P = 17 × 5 + 29 × 8 = 317

Profit at (10, 0), P = 17 × 10 + 29 × 0 = 170

Profit at (0, 0), P = 17 × 0 + 29 × 0 = 0

Therefore, the for maximum profit, the number of each type to be produced are;

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Answer: the correct answer is D.

Step-by-step explanation:

Since we are given the values of angle B and side(a) we can set up an equation cos43.2=3.2/x

we will get 4.4 so c=4.4

using the paythagorion theorm (4.4)^2=x^2+(3.2)^2

we will get an approximate value of 3 so b=3

and for the finding the third angle x+43.2+90=180

x=46.8 degrees

Answer D

The cutoff score to be in the bottom 6% of all ACT math scores is about 27.71. To find the cutoff score to be in the bottom 6% of all ACT math scores, we need to use the normal distribution table.

First, we need to convert the score to a z-score using the formula: z = (x - μ) / σ, where x is the score, μ is the mean, and σ is the standard deviation.
For the bottom 6% of scores, we need to find the z-score that corresponds to a cumulative probability of 0.06. Looking at the normal distribution table, we find that the closest value is 1.55.
So, we can solve for the score by rearranging the formula as x = z * σ + μ. Plugging in the values, we get:
x = 1.55 * 5.75 + 18.5 = 27.7125
It's important to note that this calculation is based on the assumption that the distribution of ACT math scores follows the normal model with a mean of about 18.5 and a standard deviation of about 5.75. In reality, the distribution may not be exactly normal, and the mean and standard deviation may vary depending on the sample of test takers.

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Answer:

1. 49

2. 169

3. 81

4. 100

5. 441

6. 36

Step-by-step explanation:

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The depth of the water in the Monterey Bay, California, can be modeled as a function of time in half-hours after midnight, denoted as y.

To find the equation that models the depth of the water in the Monterey Bay, we need more information about the function. Please provide the details or the equation that defines the relationship between the depth and time. To model the depth of the water in the Monterey Bay as a function of time, we need to gather data or information about the relationship between the two variables. Without this data, it is not possible to provide a specific equation. However, in general, the depth of the water in a bay can be influenced by several factors such as tides, weather conditions, and geography. Tides are primarily caused by the gravitational forces exerted by the moon and the sun on the Earth. The Monterey Bay is known for extreme tides due to its unique geography and the interaction of tidal currents with the underwater canyon system. The depth of the water can vary significantly throughout the day due to the tidal cycle. To accurately model the depth, it is necessary to consider the local tide tables or consult scientific studies that provide specific equations or formulas.

In conclusion, without specific information about the relationship between the depth of the water and time, it is not possible to provide an equation to model the depth of the water in the Monterey Bay accurately. To obtain accurate modeling, it is recommended to refer to local tide tables or consult scientific studies that provide specific equations or formulas based on the geographical and tidal characteristics of the bay.

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Answer:

The answer would be 14 !

the answer is 3/n - 5 = -7

The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

Answer:

(-2,0)  (0,4)

Step-by-step explanation:

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Answer:

4.2L=4200^3<this one Is a I think

0.35km=350m<This one ik

Step-by-step explanation:

Answer:

she spent like 40% of her time easy

Step-by-step explanation:

that was like 3rd grade

Explanation

To solve the question, we will be aware that

There are 3 hours between 6PM and 9PM ,

The main pump's emptying rate is 1/4 tanker per hour. It will be open

the entire 3 hours, so it will empty 3/4 of the tank.

this means that the auxiliary pump must empty the remaining 1/4

Thus

Thus, we will have

Therefore

The auxiliary pump should start by 6pm + 45 minutes = 6:45pm

Answer:

Step-by-step explanation:

Could you show two points need to be calculated? A and D are the same in this case