Rachel has a $10,000, three-year loan with an APR of 7.25%.
a. What is the monthly payment?
b. What is the total amount of the monthly payments?
c. What is the finance charge

If Janice walks at the same speed for 110 minutes, she will cover approximately 9.2 miles.

Given that Janice walks 5 miles in 60 minutes, we can calculate her speed using the formula:

Speed = Distance / Time

Substituting the values we know, we have:

Speed = 5 miles / 60 minutes

Now, we can use this speed to determine the distance Janice will walk in 110 minutes. We'll use the same formula, rearranged to solve for distance:

Distance = Speed × Time

Substituting the values we have:

Distance = (5 miles / 60 minutes) × 110 minutes

To simplify this calculation, we can first simplify the fraction:

Distance = (1/12) miles per minute × 110 minutes

Now, we can cancel out the minutes:

Distance = (1/12) miles per minute × 110

The minutes in the numerator and denominator cancel out, leaving us with:

Distance = (1/12) × 110 miles

Calculating this expression:

Distance = 110/12 miles

Rounding this answer to the nearest tenth of a mile, we get:

Distance ≈ 9.2 miles

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Answer:

B. s = 24t

Step-by-step explanation:

Since s varies directly with t, therefore, equation that will represent the relationship would take the form of s = my

m = rate of change

✔️Find the rate of change:

Rate of change using two given pairs, (0.5, 12) and (2.5, 60),

Rate of change (m) = ∆s/∆t = (60 - 12)/(2.5 - 0.5) = 48/2 = 24

✔️Substitute m = 24 into s = mt

s = 24t

Percent decrease from 100 to 82 is 18% decrease.

Calculating the % decrease from 100 to 82,

\(\frac{82-100}{100}\)×100%

\(\frac{-18}{100}\)×100%

on simplifying we get,

-18%

here, negative sign indicates that there is a decrease of percentage.

Hence, we get 18% decrease from 100 to 82.

How to calculate Percent decrease?

Do the % growth and reduction calculations. By dividing the new number by the initial value, the percentage is computed.

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The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.

It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.

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Given:

Number of red marbles = 8

Number of blue marbles = 5

Number of green marbles = 11

Number of yellow marbles = 1

One marble is selected at random.

To find:

The P(red, green or yellow).

Solution:

Number of red, green or yellow marbles = 8 + 11 + 1

                                                                    = 20

Total number of marbles = 8 + 5 + 11 + 1

                                         = 25

The probability of getting a red, green or yellow marble is:

\(P(\text{red, green or yellow})=\dfrac{\text{number of red, green or yellow marbles}}{\text{Total number of marbles}}\)

\(P(\text{red, green or yellow})=\dfrac{20}{25}\)

\(P(\text{red, green or yellow})=\dfrac{4}{5}\)

\(P(\text{red, green or yellow})=0.8\)

Therefore, the value of P(red, green or yellow) is 0.8.

The recursive formula will be :

\(P_{n} = 1.8 *P_{n-1}\)

Given,

Population grows according to an exponential growth model with P = 20 and P = 32 .

Now

Exponential function includes situations where there is slow growth initially and then a quick acceleration of growth, or in situations where there is rapid decay initially and then a sudden deceleration of decay.

Hence the function is of form:

y = \(ab^{x}\)

For exponential growth,

b>1

a≠0

Further,

\(P_{0} =\) 20

Solving \(P_{n}\),

\(P_{n} =\) 1.8 *\(P_{n-1}\)

Thus the recursive formula is :

\(P_{n} = 1.8 * P_{n-1}\)

Explicit formula

\(P_{n}\)=20 \((1.8)^{n}\)

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30 percent of the 10 cars in the parking lot, or 3 cars, were blue.

If 40% of the cars were silver, then the remaining percentage of cars must be split between red and blue cars. Since there were 10 cars in total, we can set up the following equation:

40% + R% + B% = 100%

where R% and B% represent the percentage of red and blue cars, respectively.

Simplifying this equation, we get:

60% = R% + B%

Since we know that there were 3 red cars, we can use this information to find the percentage of red cars:

3 cars = R% of 10 cars

R% = (3/10) x 100% = 30%

Substituting this into our equation, we get:

60% = 30% + B%

B% = 30%

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The expression is equivalent to "\(z^4 * (z + 6)^2 + (z + 6)\)".

To clarify, I understand the expression as: "z * (z + 6) * z * (z + 6) * z + (z + 6)". Let's break down the expression and simplify it step by step:

Distribute the multiplication:

z * (z + 6) * z * (z + 6) * z + (z + 6)

becomes

z * z * z * (z + 6) * (z + 6) * z + (z + 6)

Combine like terms:

z * z * z simplifies to \(z^3\)

(z + 6) * (z + 6) simplifies to (z + 6)^2

The expression now becomes:

\(z^3 * (z + 6)^2 * z + (z + 6)\)

Multiply \(z^3\) and z:

 \(z^3 * z\) simplifies to \(z^4\)

The expression becomes:

  \(z^4 * (z + 6)^2 + (z + 6)\)

So, an equivalent expression to "z (z + 6)z (z + 6)z + (z + 6)" is "\(z^4 * (z + 6)^2 + (z + 6)\)".

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Answer:

4) -3

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

This equation can be rearranged in order to easily solve.

First, rearrange the equation by simply flipping it.

3x + 30 = 9x → 9x = 3x + 30

Then, you may solve for x.

9x = 3x + 30 subtract 3x from both sides of the equation

6x = 30 divide by 6 on both sides of the equation

x = 5

Answer:

hope it Helps

Step-by-step explanation:

Brainliest please

Answer: the answer above me was not correct for me.

Step-by-step explanation:

The critical value of z for a two-tailed test at 12.66% significance level is approximately ±1.88.

For a two-tailed test at 12.66% significance level, we need to find the critical value of z. Here are the steps to find the critical value:

1. Since it is a two-tailed test, we need to divide the significance level by 2. This is because the rejection region is distributed equally in both tails of the distribution. So, 12.66% ÷ 2 = 6.33%.

2. Now, we need to convert the percentage to a decimal: 6.33% = 0.0633.

3. Next, we need to find the z-score that corresponds to the given probability (0.0633) in the standard normal distribution table. To do this, look for the closest probability value to 0.0633 in the body of the table.

4. After finding the closest probability value, locate the corresponding z-score. For a two-tailed test, you will have both a positive and negative z-score, which are symmetric around the mean (0).

After following these steps, you will find that the critical value of z for a two-tailed test at 12.66% significance level is approximately ±1.88.

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Answer:

h = 440.94 feet

Step-by-step explanation:

It is given that,

An architect is standing 370 feet from the base of a building, x = 370 feet

The angle of elevation is 50°.

We need to find the approximate height of the building. let it is h. It can be calculated using trigonometry as follows :

\(\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=370\times \tan50\\\\h=440.94\ \text{feet}\)

So, the approximate height of the building is 440.94 feet

The diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

To convert the diameter of Earth from miles to kilometers, we can multiply the given diameter in miles by the conversion factor of 1.6 kilometers per mile.

Given that Earth's diameter is 7,926 miles, we can calculate its diameter in kilometers as follows:

Diameter in kilometers = Diameter in miles × Conversion factor

Diameter in kilometers = 7,926 miles × 1.6 kilometers/mile

Diameter in kilometers = 12,681.6 kilometers

Rounding this value to the nearest whole number, we get 12,682 kilometers.

Therefore, the correct answer is option D: 12,682 km.

Option A: 49,553 km is not the correct answer. It is not consistent with the given diameter of Earth.

Option B: 120,586 km is also not the correct answer. It is not consistent with the given diameter of Earth.

Option C: 1,392,650 km is significantly larger than the actual diameter of Earth and is not a plausible value.

In conclusion, the diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

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The Selling Price of the Stereo will be $75

Cost Price is defined as the amount that is paid to purchase an article or the price at which an article is made is known as its cost price. The cost price can be abbreviated as C.P.

Selling Price is defined as the price at which an article is sold to the customer. The selling price is abbreviated as S.P.

Profit and Loss can be estimated through Selling Price and Cost Price.

Profit =Selling Price-Cost Price ,only when the selling price is greater than the Cost price.

Loss= Cost Price- Selling price , only when the cost price is greater than the Selling price.

Step by step explanation

As we know that the Cost Price=$150

and Selling Price is 50% of Cost Price

∴Sale Price will be $75

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I don't know the answer to this question but I thought I learned algebra so my friend asked me what y=mx+b was and I said it was a curved line. am i correct?

Given statement solution is :- Por lo tanto, there are 750 milliliters in the container.

Milliliter definition, a unit of capacity equal to one thousandth of a liter, and equivalent to 0.033815 fluid ounce, or 0.061025 cubic inch.

A milliliter is a metric unit of volume equal to a thousandth of a liter.

To convert liters to milliliters, we must remember that 1 liter is equivalent to 1000 milliliters.

Given that the container contains 3/4 of a liter, we can calculate the milliliters by multiplying 3/4 by 1000:

(3/4) * 1000 = (3 * 1000) / 4 = 3000 / 4 = 750

Por lo tanto, there are 750 milliliters in the container.

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Answer:

Step-by-step explanation:

Given:

To Find:

Solution:

Let's assume width of rectangle x m and length of rectangle be 3x m. To calculate the dimensions of the rectangle we will use the formula of Perimeter of the rectangle

Perimeter of rectangle = 2(L + B)

Substituting the required values:

→ 168 = 2(3x + x)

→ 168 = 2(4x)

→ 168/2 = 4x

→ 84 = 4x

→ 84/4 = x

→ 21 = x

Hence,

Answer:

⠀

Step-by-step explanation :

⠀

As, it is given that, the perimeter of a rectangle is 168 m and its length is five times its width and we are to find the length and width of the rectangle. So,

⠀

Let us assume the width of the rectangle as w metre and therefore, the length will be 5w metre .

⠀

Now, According to the Question :

⠀

\({\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}\)

⠀

\({\longrightarrow \qquad { {\sf{2 (5 w + w )= 168 }}}}\)

⠀

\({\longrightarrow \qquad { {\sf{2 (6 w )= 168 }}}}\)

⠀

\({\longrightarrow \qquad { {\sf{12 w = 168 }}}}\)

⠀

\({\longrightarrow \qquad { {\sf \: w = \dfrac{168}{12} }}}\)

⠀

\({\longrightarrow \qquad { \underline{ \boxed{ \pmb {\frak{ w = 14 }}}}}} \: \: \bigstar\)

⠀

Therefore,

⠀

Now, we are to find the length of the rectangle :

⠀

\({\longrightarrow \qquad { { { \pmb {\frak{ Length = 5w }}}}}} \: \: \)

⠀

\({\longrightarrow \qquad { { { \pmb {\frak{ Length = 5 \times 14 }}}}}} \: \: \)

⠀

\({\longrightarrow \qquad { \underline{ \boxed{ \pmb {\frak{ Length = 70 }}}}}} \: \: \bigstar\)

⠀

Therefore,

2h + 1 = 6 is the equation in terms of h given that Coach Scalf runs 6 miles which is one mile more than two times the distance her husband (h) runs. This can be obtained by converting the statements to algebraic equation.

Here in this question it is given that,

We have to find the equation of the distance ran by Coach Scalf in terms of the distance her husband (h) runs.

⇒ Distance ran by Coach Scalf = 6

Also, Distance ran by Coach Scalf  = one mile more than two times the distance her husband (h) runs

Distance ran by Coach Scalf = one mile more than 2h

Distance ran by Coach Scalf = 2h + 1

Equating both values we can write that,

6 = 2h + 1 ⇒ 2h + 1 = 6

Hence 2h + 1 = 6 is the equation in terms of h given that Coach Scalf runs 6 miles which is one mile more than two times the distance her husband (h) runs.

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L((7,8)) = (-9,23).  To find the value of L((7,8)), we can use the linearity property of the linear operator L.

Since L is a linear operator, we can express any vector in R² as a linear combination of the basis vectors (1,0) and (0,1).

We have L((1,2)) = (-2,3) and L((1,-1)) = (5,2). Therefore, we can express (7,8) as (7,8) = 7(1,2) + 1(1,-1).

Using the linearity property, we can distribute the linear operator L over the linear combination:

L((7,8)) = L(7(1,2) + 1(1,-1))

= 7L((1,2)) + L((1,-1))

= 7(-2,3) + (5,2)

= (-14,21) + (5,2)

= (-9,23)

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Answer:

Slope = -2

y-intercept = -3/5

Falling

Step-by-step explanation:

\(y= -2x - \frac{3}{5} \\ y = mx + b\)

m = Slope = -2

y-intercept = b =

\( - \frac{3}{5} \)

The slope of the equation has a negative number so the graph is falling

Answer:

14

Step-by-step explanation:

hope this helps

Given functions are

Then,

Thus,

Answer:

what is the question...?

Step-by-step explanation:

Answer:

They all do, but if you just want a normal not ongoing line.

Step-by-step explanation:

its B

Answer:

A. Just use your calculator

Step-by-step explanation:

(a) The cost of 1 kg of turnips is £71.95, and

(b) The cost of 1 kg of mushrooms is £89.50.

To solve this problem, let's assign variables to the unknowns.

Let the cost of 1 kg of mushrooms be 'm' and the cost of 1 kg of turnips be 't'.

According to the given information:

Equation 1: 2m + 2.5t = 8.55

Equation 2: 3m + 4t = 13.10

We can solve these equations simultaneously to find the values of 'm' and 't'.

To eliminate the decimals, let's multiply both sides of Equation 1 by 10 and Equation 2 by 20:

20m + 25t = 85.50

60m + 80t = 262.00

Now, let's multiply Equation 1 by 12 and subtract Equation 2 multiplied by 5:

240m + 300t - (60m + 80t) = 1026.00 - 1310.00

180m + 220t = -284.00

We have a new equation:

180m + 220t = -284.00 ---(3)

Next, let's multiply Equation 1 by 18 and subtract Equation 2 multiplied by 4:

36m + 45t - (60m + 80t) = 154.35 - 524.00

-24m - 35t = -369.65

We have another new equation:

-24m - 35t = -369.65 ---(4)

Now, we have a system of linear equations with two variables. Let's solve this system by eliminating one variable.

Multiply Equation 3 by 35 and Equation 4 by 220:

6300m + 7700t = -9940.00 ---(5)

-5280m - 7700t = -81323.00 ---(6)

Adding Equations 5 and 6, we eliminate 't':

1020m = -91263.00

m = -91263.00/1020

m = -89.50

Substituting the value of 'm' back into Equation 3:

180(-89.50) + 220t = -284.00

-16110 + 220t = -284.00

220t = -284.00 + 16110

220t = 15826.00

t = 15826.00/220

t = 71.95.

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Using the Fundamental Counting Theorem, there are 20 possibilities for their big night out.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

For this problem, we have that:

The number of possibilities is given by:

N = 5 x 4 = 20.

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Answer:

x = -1

Step-by-step explanation:

I'm not sure I'm reading the problem correctly, the "table" didn't survive formatting changes.

BUT if the question is what input value X produces the same output Y then this is pretty straightforward forward and you don't even need the table.

Basically, the question is asking what number, when substituted for X, produces the same result.

That tells us that x + 7 = 2x + 15

Solve for x:

x = -8

f(x) = {x+7}

g(x)=2x+15

f(-8) = ((-8) + 7) = -1

g(-8) = (2(-8) + 15) = (-16) + 15 = -1

x = -1