Lane French had a bad credit rating and went to a local cash center. He took out a $100 loan payable in two weeks at $111.50. What is the percent of interest paid on this loan? (Do not round intermediate calculations. Round your answer to the nearest whole percent.)

Answer:  \(\frac{x+5+\sqrt{x^2+10x+1}}{2},\:\frac{x+5-\sqrt{x^2+10x+1}}{2}\)

Steps:

\(1.{A\:function\:g\:is\:the\:inverse\:of\:function\:f\:if\:for}\:y=f\left(x\right),\:\:x=g\left(y\right)\:\)

2. Replace x with y:  \(x=y+\frac{6}{y}-5\)

3. Solve for y, x = y + \(\frac{6}{5}\) - 5. This will get you the correct answer.

a) Either 3 or 4 questions did Mike answer correctly.

b) Either 7 or 8 questions did Sheila answer correctly.

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

a) Let mike did x correct

then, incorrect will be (10- x)

The equation is:

Now, 5x + (10 - x) (-3) = 0

=> 5x - 30 + 3x = 0

=> 8x = 30

=> x = 30/8

=> x > 3 and x < 4

b) Let Sheila did y correct

then, incorrect = (10 - y)

Now, 5y + (10 - y) (-3) = 32

=> 5y - 30 + 3y = 32

=> 8y = 62

=> y > 7 and y< 8

Learn more about Equation at:

https://brainly.com/question/29657992

#SPJ4

The given question is incomplete, complete question is:

In a school test consisting of 10 questions, 5 points are awarded for a correct answer but 3 points are deducted for an incorrect answer.

A blank answer scores (). Mike scored a total of () and he did not leave all of the answers blank. (a) How many questions did Mike answer correctly? _ _ _ _ _ _ _ _ Sheila scored a total of 32. (b) How many questions did Sheila answer correctly?

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°.

The angle between m and P (m∠P) is 124°.

In the given picture, W and P are alternate interior angles.

If two parallel lines are cut by a transversal, alternate interior angles are congruent. So, m∠P is equal to m∠W.

Therefore, m∠P is 124°.

In plane geometry, the figure formed by two rays or lines that share a common endpoint is called an angle. The word "angle" comes from the Latin word "angulus" which means "horn". The two rays are called the sides of the angle, and the common endpoint is called the vertex.

Common contact points are called corner vertices. The word angle comes from the Latin word 'angulus', which means 'horn'. Angles around us: There are many everyday examples of angles: hangers, arrowheads, scissors, partially open doors, pyramids, table edges, and ruler edges.

Learn more about angle here: https://brainly.com/question/24839702

#SPJ1

Using proportions, the amounts are given as follows:

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using operations such as multiplication or division.

One example of application is for percentage problems, as the equivalent amount can be found multiplying the equivalent decimal by the total amount.

The amount of Federal Income Tax Withholding each month is given by:

0.2 x 3500 = $700.

The amount of State Income Tax Withholding each month is given by:

0.12 x 3500 = $420.

The amount of Social Security Tax Withholding each month is given by:

0.0825 x 3500 = $288.75.

The amount contributed to the 401k each month is:

0.04 x 3500 = $140.

The take-home pay for the month is the $3,5500 subtracted by all the with holdings, hence:

3500 - (700 + 420 + 288.75 + 140) = $1,951.25.

A year has 12 months, hence the take-home pay for the year is given by:

12 x 1951.25 = $23,415.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

No solution is possible from the given information

Step-by-step explanation:

Triangle ABC is NOT shown below

Without the triangle it's not possible to answer.

Answer:

15.4324

Step-by-step explanation:

Hope this helps!

Answer:

1244 DCD

Step-by-step explanation:

Answer:

add the numbers together, then divide by how many numbers appear

Step-by-step explanation:

8, 5, 2, 13, 6, 6, 4, 10, 0= 54/9 =6

Answer:

B

Step-by-step explanation:

The inequality is

3x-5y>=10

You can substitute each of the choices in the inequality (on the left side) to see if the result is >=10.

A:  3(1)-5(4)=3-20=-17   not good.

B: 3(6)-5(-3)=18+15=33   good

Answer: A C E prob idk

\(\dfrac{5bc}{10b^2}=\dfrac{\not 5\cdot \not b\cdot c}{2\cdot \not 5\cdot \not b\cdot b}=\dfrac{c}{2b}\)

Answer:

c / ( 2b)

Step-by-step explanation:

5bc/10b^2

Lets look at the numbers first

5/10 = 1/2

Then the variable b

b / b^2 = 1/b

Then the variable c

c/1 = c

Putting them back together

1/2 * 1/b * c/1

c/ 2b

Answer:

y= -6x-11

If y+2+(6x-9)=0

Step-by-step explanation:

y+2+(6x-9)=0? (I'm assuming)

Subtract 2 from both sides

y+(6x-9)= -2

Subtract (6x-9) from both sides

y= -2-(6x-9)

y= -2-6x-9

y= -6x-11

Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.

Step-by-step explanation: Formula and Solving it

He Spent $2.50 on pencils.

Amount left after buying a pencil = x - 2.50

Next, he spent half of the amount left in his pocket.

He spent (x - 2.50)/2 on notebook and paper.

So the total amount he spent = 2.50 + (x -2.50)/2

Amount left when he got home =$ 5.00

That means, x - Total amount spent = 5

=> x - (2.50 + (x -2.50)/2 ) = 5

=> x - 2.50 -x/2 + 2.50/2 = 5

=> x/2 - 2.50/2 = 5

=> x/2 = 5 + 2.50/2

=> x/2 = 6.25

=>x = $12.5

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.

For more such questions on semi-annually

https://brainly.com/question/30573341

#SPJ8

The Simplification of the algebraic expression gives:

a. -2/3x² - (4/15)xy +  (11/4)y²

b. -(12/7)x³ + (20/9)y

Simplification of an algebraic expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression

a. (1/3)x² - (2/5)xy + 2y² + (2/15)xy - 3x² + (3/4)y²

To simplify this, add or subtract like terms. That is:

(1/3)x² - (2/5)xy + 2y² + (2/15)xy - 3x² + (3/4)y²

     = (1/3)x² - 3x² - (2/5)xy + (2/15)xy + 2y²  + (3/4)y²

     = -2/3x² - (4/15)xy +  (11/4)y²

b. (2/7)x³ - (1/3)y + 2y - 2x³ + (5/9)y

To simplify this, add or subtract like terms. That is:

(2/7)x³ - (1/3)y + 2y - 2x³ + (5/9)y = (2/7)x³- 2x³ - (1/3)y + 2y + (5/9)y

                                                    = -(12/7)x³ + (20/9)y

Learn more about algebraic expression on:

brainly.com/question/4344214

#SPJ1

Answer:

0.5000

Step-by-step explanation:

According To The Question,

The Area under the Standard Normal Curve, We Can Use the Statistical Tables , That Reported Area As P(z < a) .  

Thus, We need to use the following Relationship.

Now solve, P(z > 0) = 1 - P(z < 0) ⇔ 1 - 0.5000 ⇔ 0.5000

(Diagram, Please Find in Attachment)

Answer:

the answer is 162.5

Step-by-step explanation:

The amount that the plumber will charge the client is $32.5

From the question, we are told that a  plumber charges 1/4 of the cost of materials as a labor fee.

Given the following

Cost of material = $130

Amount charge per client = 1/4 of cost of material

Amount charge per client = 1/4 * 130

Amount charge per client = 130/4 = $32.5

Hence the amount that the plumber will charge the client is $32.5

Learn here: https://brainly.com/question/1118721

Using percentage Craig will be paid $ 96.

Percentage is a ratio out of 100.

Since Craig is a telemarketer. He sold $960 of merchandise. If Craig’s commission is 10%, we need to find out how much he be paid.

Since he has $960 merchandise and 10% of the merchandise is. Then, the amount he is paid is T = percentage × total amount of merchandise

Since the percentage commission = 10% and amount of merchandise = $ 960

Then the amount paid , T = percentage × total amount of merchandise

= 10 % × 960

= 10/100 × $ 960

= 0.1 × $ 960

= $ 96

So, he will be paid $ 96.

Learn more about percentage here:

https://brainly.com/question/24339661

#SPJ1

i think it would be 202.3

Step-by-step explanation:

To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:

Write the function: f(x) = 1/x^3.

Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).

Differentiate the function: In our case, n = -3, so the derivative is:

f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.

Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.

Answer:

58

Step-by-step explanation:

This is a little tough to answer. It looks ambiguous. If BaD = 32 then <C is the compliment of BDC.

90 - 32 = 58 I think this is the intended answer.

However if 32 = ADC then <BDC = 16 (1/2 the entire angle at D)

Therefore <C = 90 - 16 = 74

In any event <ADB and <CDB are equal.

You will reject the null hypothesis for values of \(\bar p\) that correspond to z-scores less than -2.576 or greater than 2.576.

The power of your test to detect a wheel that actually lands on red 50% of the time is approximately 98.24%.

To answer the student question about the values of \(p^\) for which you will reject the null hypothesis and the power of

the test, we need to follow these steps:

1. State the null hypothesis and alternative hypothesis.

2. Calculate the test statistic.

3. Determine the critical values.

4. Calculate the power of the test.

The null hypothesis (H0) is that the proportion of reds is 9/19, and the alternative hypothesis (H1) is that the proportion

of reds is not 9/19.

H0: p = 9/19
H1: p ≠ 9/19

Calculate the test statistic, which is the z-score:

\(z = (\bar p - p) / \sqrt{((p \times (1 - p)) / n)\)

Where \(\bar p\) is the observed proportion, p is the expected proportion (9/19), and n is the number of spins (1000).

Determine the critical values for a 2% significance level. Since it is a two-tailed test, we need to find the critical z-values

corresponding to 1% in each tail.

Using a z-table or calculator, we find that the critical z-values are -2.576 and 2.576.

Calculate the power of the test to detect a wheel that lands on red 50% of the time. We need to find the probability of

rejecting the null hypothesis when it is false.

First, calculate the z-score for the alternative proportion (0.5) using the same formula:

\(z_{alt} = (0.5 - 9/19) / \sqrt{((9/19 \times (1 - 9/19)) / 1000)} \\\)

\(z_{alt}\) ≈ 2.38

Now, find the probability of observing a z-score more extreme than 2.38 or less than -2.38, assuming the null hypothesis is true. This can be done using a z-table or calculator:

Power = P(z < -2.38 or z > 2.38) ≈ 0.9824

for such more question on null hypothesis

https://brainly.com/question/28042334

#SPJ11

The value of tangent of 7​  degrees is 0.123

From the question, we have the following parameters that can be used in our computation:

The tangent of 7​

The above statement can be solved using a calculator

Using the above as a guide, we have the following:

tan(7) = 0.123

Hence, the value of tangent of 7​ is 0.123

Read more about trigonometry at

https://brainly.com/question/24349828

#SPJ1

Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

In Spherical Geometry, you can imagine a line as the sphere's great circle.

Spherical geometry uses spheres to represent points and large circles, whereas Euclidean geometry uses a plane. Angles between large circles are described in spherical geometry. The angle between the tangent lines is how we define the angle between two curves. Radians will be used to measure all angles.

A line in Euclidean geometry is undefinable. A line is a straight path with no thickness that travels in two opposing directions without coming to an end. A line has an endless number of points.

You can imagine a line in spherical geometry as the sphere's great circle.

Learn more about Euclidean Geometry here https://brainly.com/question/2251564

#SPJ9

The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

The vertex form of a parabola is given by:y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2

Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2

Simplifying this, we get:-66 = 16a - 2

Adding 2 to both sides, we get:-64 = 16a

Dividing both sides by 16, we get:a = -4

Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2

Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

To know more abut Parabola .

https://brainly.com/question/21414275

#SPJ11

Answer:

20 / 4 =5

Step-by-step explanation:

I think