Stacey owes $43.20 for text messaging in the month of January. If her text messaging plan costs $7 for the first 250 messages and 20¢ for each additional text message, how many text messages did she send that month?

Answer:

x=-7

Step-by-step explanation:

ur welcome

Answer: x = -7

5-x=12

-5. -5

-x=7

-x/-1=7/-1

x=-7

Hope this helps !

The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.

To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.

The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.

The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -A and b = 250. Plugging in these values, we get:

x = -250 / (2 * (-A))

= 125 / A

To find the maximum revenue, we substitute this value of x into the revenue equation:

R = -A * (125 / A)^2 + 250 * (125 / A)

= -A * (15625 / A^2) + (31250 / A)

= -15625 / A + 31250 / A

= 15625 / A

The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.

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The area should be 47.5 CM.

Answer:

Step-by-step explanation:

The figure you see here is a trapezoid.

Area = \(\frac{(a + b)h}{2}\) = \(\frac{(6 + 13)(5)}{2}\) = \(\frac{(19)(5)}{2}\) = \(\frac{95}{2}\) = 47.5 cm

Answer:

Below

Step-by-step explanation:

The probability of Z    given Y  would be

      7  out of (15+7) = 7/22

Sure, what do you need help with?

The quadratic regressiοn equatiοn fοr the given data pοints is y = 5x² - 20x + 7

A secοnd-degree equatiοn οf the fοrm ax² + bx + c = 0 is knοwn as a quadratic equatiοn in mathematics. Here, x is the variable, c is the cοnstant term, and a and b are the cοefficients.

Tο find the quadratic regressiοn equatiοn fοr the given data pοints, we need tο fit a quadratic equatiοn οf the fοrm y = ax² + bx + c tο the data.

We can start by using the three given pοints tο set up a system οf three equatiοns:

\((1,-8): a(1)^2 + b(1) + c = -8\\\\(2,-4): a(2)^2 + b(2) + c = -4\\\\(3,6): a(3)^2 + b(3) + c = 6\)

SimpIifying each equatiοn, we get:

a + b + c = -8 (equatiοn 1)

4a + 2b + c = -4 (equatiοn 2)

9a + 3b + c = 6 (equatiοn 3)

AIternativeIy, we can use technοIοgy such as a caIcuIatοr οr spreadsheet tο sοIve the system.

SοIving the system using technοIοgy, we get:

a = 5

b = -20

c = 7

Therefοre, the quadratic regressiοn equatiοn fοr the given data pοints is:

y = 5x² - 20x + 7

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Using simple interest, the amounts she invested are given as follows:

Simple interest is used when there is a single compounding per time period, usually measured in years.

The amount of money after t periods in is modeled by:

A(t) = P(1 + rt)

The interest accrued after t periods is modeled by:

I(t) = Prt

In which:

She had two investments, investing a total of $4500, hence:

\(P_1 + P_2 = 4500\)

The return for the 9% investment exceeds that from the 6% investment by $180, hence:

Then:

\(I_2 = 0.06(4500 - P_1)\)

\(I_1 - 180 = 0.06(4500 - P_1)\)

\(0.09P_1 - 180 = 0.06(4500 - P_1)\)

\(0.15P_1 = 450\)

\(P_1 = \frac{450}{0.15}\)

\(P_1 = 3000\)

Which is the amount invested at 9%, hence the amount invested at 6%, considering that a total of $4,500 was invested, is given by:

4500 - 3000 = $1,500.

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Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

Answer:

2

Step-by-step explanation:

2 because 6 multipled by 1/3 is 2 and 2 multipled 3 is 6

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

it goes to 0nes=7 tens=5 hundreds=0 thousand=2 ten thousand=3

Answer:

x = 4

Step-by-step explanation:

You can solve for "x" by rearranging the equation and getting the "x" by itself on one side. Remember, whatever you do to one side of the equation, you must do to the other side.

-6 + x = -2                         <----- Original equation
+6         +6                        <----- Add 6 to both sides to isolate "x"

0 + x = 4                           <----- After the addition

x = 4                                 <----- Rewrite

Answer:

None of the above (x = 4) \( \sf {} \)

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ -6 + x = -2

Then the value of x will be,

→ -6 + x = -2

→ x = -2 + 6

→ [ x = 4 ]

Hence, the value of x is 4.

Answer:

It is a observational study

Step-by-step explanation:

9514 1404 393

Answer:

  14.4 or 15 bags

Step-by-step explanation:

The number of yards covered by x bags is ...

  (3 1/2)x = 50 1/4

  x = (50 1/4)/(3 1/2) = 50.25/3.5 ≈ 14.4*

We assume that bags of chips are available only in integer quantities.

The PTA will need 15 bags of wood chips to cover the wet section.

_____

* The exact answer is 14 5/14. We hope that an integer number is the desired solution, as anything more precise than that seems inappropriate in this context.

Answer: (x^2 - 14x + 48) : (x-6) = 0(x^2 - 14•x + 48) : (x-6) = 0x = 8

Step-by-step explanation:

i hope this is the answer your looking for

Rounding to four decimal places, we have:

P(-2.41 < Z < -2.2) ≈ 0.0061

Using a standard normal distribution table or a calculator, we can find the area under the curve of the standard normal distribution between -2.41 and -2.2.

P(-2.41 < Z < -2.2) = P(Z < -2.2) - P(Z < -2.41)

From a standard normal distribution table, the probability of Z being less than -2.2 is 0.0139 and the probability of Z being less than -2.41 is 0.0078. So,

P(-2.41 < Z < -2.2) = 0.0139 - 0.0078 = 0.0061

Rounding to four decimal places, we have:

P(-2.41 < Z < -2.2) ≈ 0.0061

A normally distributed random variable with a mean of 0 and a standard deviation of 1 is referred to as a standard normal random variable. The letter Z will always stand in for it.

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Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

Answer: Penny is closer

Step-by-step explanation:

1 mile is 1760 yards- so 2 miles is 3520 yards, so Penny is closer... which makes no sense since they live in the same building, but there you have it

Answer:

Interest = $1897.09               Account Balance = $4397.09

Step-by-step explanation:

2500 x 1.019 = $4397.09 = Account Balance

4397.09 - 2500 = $1897.09  = Interest

The interest will the customer earn in 30 years is $1350, the account balance be after 30 years is $3850 and the customer earn $1350 interest.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.

In the given that new bank customer with $2,500 wants to open a money market account. The bank is offering a simple interest rate of 1.8%.

So, the Principal Amout(P)  =$2500

Interest Rate(R) = 1.8%

(a) So we need to find the interest will the customer earn in 30 years.

the time (T)=30 years

Simple Interest; I=PRT/100

I=2500*1.8*30/100

I=1350

thus the interest will the customer earn in 30 years is $1350.

(b) Now we need  to find the account balance be after 30 years.

The account balance = Principal Amount+Interest Amount

The account balance = 2500+1350

The account balance = $3850

(c) Now we have to find the customer will earn $ in interest.

The customer earn $1350 interest.

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Answer: If your doing the ratio of boys to girls, it would be 6:14. Simplified- 3:7

Step-by-step explanation:

The factors of 6-1,2,3,6

The factors of 14-1,2,12,14

The common factor of the two #’s is 2 so you would divide both of them by that number. 3 and 7 are prime numbers so you can’t simplify the ratio anymore.

Answer:

The answer is 5.4 because you'll add them up and divide by 7

The value of m∠Q as shown in the right-angled triangle below is 62.59°.

The Formula used is:

m∠Q = cos⁻¹(s/r)........................ (1)

Where:

s = 29 m

r = 63 m

Now, Substitute these values into equation 1

m∠Q = cos⁻¹(29/63)

m∠Q = cos⁻¹(0.46)

m∠Q = 62.59°

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Answer:

C and D

Step-by-step explanation:

\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)

Answer:

Expected value = 190

Variance = 4000

Step-by-step explanation:

Let X be the number of the trials until the third success of the bad pump.

This implies that X is a negative binomial distribution having θ = 20% = 0.2.

Now, if for example it will take X trials to use up the three pumps, then the total time is 10 min/trials + extra 10 minutes for the 3 bad pumps

This means the total time is written as;

T = 10X + (10 + 10 + 20)

T = 10X + 40

Mean which is also expected value of X is;

μ_x = 3/0.2 = 15

Variance of X is; σ²_x = 40

Thus;

Mean of T will be;

μ_T = 10μ_x + 40

μ_T = 10(15) + 40

μ_T = 190

Also, variance of T will be;

σ²_T = 10²•σ²_x

σ²_T = 100 × 40

σ²_T = 4000

Answer:

144π = (1/2)(4/3)π(r^3)

144 = (2/3)(r^3)

r^3 = 216, so r = 6 mm, meaning the diameter is 2 × 6 mm = 12 mm.

la totavilidad estimada es de

1000 kg

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

c. 8

Explanation:

The Pythagorean theorem says that if we have a right triangle with sides a, b, and c, where c is the longest side, then, the following equation applies:

In this case, we know the value of c and the value of one of the sides, so we can replace the values and solve the equation for the missing side. Therefore, the value of PQ can be calculated as:

So, solving for PQ, we get:

Therefore, the value of PQ is 8 cm.