A payday loan company charges a $90 fee for a $500 payday loan that will be repaid in 16 days.


Treating the fee as interest paid, what is the equivalent annual interest rate?

Answer:

4/14

Step-by-step explanation:

2+1+7+4=14

red marbles are 4/14

Answer:

2/7

Step-by-step explanation:

Probability = Number of ways event can occur/ total number of possible outcomes.

Total number of possible outcomes = 2+1+7+4=14 = 4/14.

And if you break that down, 2 will go into four, twice and into fourteen, seven times = 2/7.

Brainliest?

Answer:

the answer is 6%

hdhxbxcbxbxszznzj

Answer:

Step-by-step explanation:

[tex]10C_{7}\times (0.2)^{7} \times (0.8)^{3}\\[/tex]

The probability that a student guesses the correct answer to exactly 7 questions is 0.004.

The probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes is called binomial probability.

[tex]P_{x} =nC_{x} P^{x} q^{n-x}[/tex]

where,

P is binomial probability

x is number of times for a specific outcome within n trials

[tex]nC_{x}[/tex] number of combinations

p is probability of success on a single trial

q is probability of failure on a single trial

n is number of trials

According to the given question.

A test consisted of 10 multiple choices.

⇒ Number of trials,  n = 10

The student have to give exactly 7 correct answers.

⇒ x = 7

The probability of being correct in one trial, p = [tex]\frac{1}{5}[/tex]    

(only one option is correct among fives)

So, the probability of being incorrect/wrong in one trial, q = [tex]1-\frac{1}{5} =\frac{4}{5}[/tex]

Therefore, the probability that a student guesses the correct answer to exactly 7 questions is given by

[tex]P_{x} = 10C_{7} (\frac{1}{5}) ^{7} (\frac{4}{5} )^{3}[/tex]

⇒ [tex]P_{x} = \frac{10!}{7!3!} (0.2)^{7}( 0.8)^{3}[/tex]

⇒[tex]P_{x} = 120(0.0000128)(0.512)[/tex]

⇒ [tex]P_{x} =0.004[/tex]

Hence, the probability that a student guesses the correct answer to exactly 7 questions is 0.004.

Find out more information about binomial probability here:

https://brainly.com/question/12474772

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Second-degree price discrimination occurs when a company charges a different price for different quantities consumed, such as quantity discounts on bulk purchases.

mark me brainliestt :))

Answer:

sec A =  sqrt(61) / 6

Step-by-step explanation:

sec theta =  hypotenuse / adjacent side

sec A =  sqrt(61) / 6

Answer:

v = 15 mph

Step-by-step explanation:

Given that,

A cyclist travels 3 miles in 15 minutes and then a further 7 miles in 25 minutes without stopping.

Total distance, d = 3 + 7 = 10 miles

Total time, t = 15 + 25 = 40 minutes = 0.6667 hours

Average speed,

[tex]v=\dfrac{d}{t}[/tex]

Put all the value,

[tex]v=\dfrac{10}{0.6667}\\\\= $$14.99\ mph[/tex]

or

v = 15 mph

So, the required average speed is equal to 15 mph.

Answer: a+b+c=0 and 3a+5b+c=0

Step-by-step explanation:

If you find a solution to these equations, you will find an equation of your line. Please notice that (a,b,c) defines the same line as (ka,kb,kc) and for any non-zero k, and a=b=c=0 defines no line equation at all. Now you can take a=1 and solve for b and c, or take b=1 and solve for a and c, or take c=1 and solve for a and b, at least one of these will work.

Answer:

( − 4 ) 2

Step-by-step explanation:

2 − 8 + 1 6

2 -4 − 4 + 1 6

x(x-4)-4(x-4)

(x-4)(x-4)

(x-4)2

which can be also written as x-4=0

                                                   x=4

Answer:

option B

Step-by-step explanation:

[tex]f(x) = 2x^2 + 6x -4\\\\g(x) = 5x^3 - 6x^2 - 3\\\\(f + g)(x) = f(x) + g(x) \\\\[/tex]

               [tex]= (2x^2 + 6x - 4) + ( 5x^3 -6x^2 - 3) \\\\= 2x^2 + 6x - 4 + 5x^3 - 6x^2 - 3\\\\= 5x^3 + 2x^2 - 6x^2 + 6x - 4 - 3 \\\\= 5x^3 - 4x^2 + 6x - 7[/tex]

Answer:

the answer is b

Step-by-step explanation:

hope this helps :)

Respuesta:

3215360 cm³

Explicación paso a paso:

Dado que :

Radio = 160/2 = 80 cm

Altura, h = 160 cm

Volumen de un cilindro = πr²h

Volumen del cilindro = π * 80² * 160

Volumen = 3215360 cm³

Answer: Pretty sure its the value of the expression is 11

Step-by-step explanation:

Step 1. Add and evaluate 4x and 1/3y^2

Step 2. After evaluating, add 4(2) and 1/3 (3)^2

Step 3. 8 + 1/3(9)

Step 4. 8 + 3 = 11

Step 5. Value of Expression = 11

Answer:

13

Step-by-step explanation:

Step-by-step explanation:

everything can be found in the picture

Answer:

y ≈ 13.5

Step-by-step explanation:

In the given right triangle we have to find the measure of unknown side 'y'.

Since, measure of opposite side and adjacent side of the angle measuring 74° have been given,

We will use tangent ratio for the given angle.

tan(74°) = [tex]\frac{\text{Measure of opposite side}}{\text{Measure of adjacent side}}[/tex]

tan(74°) = [tex]\frac{47}{y}[/tex]

y = [tex]\frac{47}{\text{tan}(74^{\circ})}[/tex]

y = 13.48

y ≈ 13.5 units

Answer:

12

Step-by-step explanation:

12 is the coefficient

Answer:

42 teaspoons of vinegar

Step-by-step explanation:

Given

[tex]x \to vegertable[/tex]

[tex]y \to vinegar[/tex]

[tex]x : y = 4 :12[/tex]

Required

Find y when [tex]x = 14[/tex]

[tex]x : y = 4 :12[/tex] implies that:

[tex]14 : y = 4 : 12[/tex]

Express as fraction

[tex]\frac{y}{14} = \frac{12}{4}[/tex]

[tex]\frac{y}{14} = 3[/tex]

Multiply by 3

[tex]y = 14* 3[/tex]

[tex]y = 42[/tex]

Check the picture below.

so if we simply subtract the strip area with the pond and the area of the pond only, what's leftover is the area of the strip alone, so

[tex]\stackrel{\textit{area of the grass \underline{with} pond}}{(15+2x)(18+2x)}-\stackrel{\textit{area of the pond}}{(15)(18)}=\stackrel{\textit{their difference}}{232} \\\\\\ 270+30x+16x+4x^2-270=232\implies 46x+4x^2=232 \\\\\\ 23x+2x^2=116\implies 2x^2+23x-116=0[/tex]

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+23}x\stackrel{\stackrel{c}{\downarrow }}{-116}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x = \cfrac{-23\pm \sqrt{23^2-4(2)(-116)}}{2(2)}\implies x = \cfrac{-23\pm \sqrt{1457}}{4}[/tex]

now, the negative root will simply yield a negative value, which is not applicable here, so we'll only use the positive root, since it's the only feasible one for the phenomena

[tex]x = \cfrac{-23+ \sqrt{1457}}{4}\implies x \approx 3.792667341996157\implies \stackrel{\textit{rounded up}}{x = 3.8}[/tex]

Answer:

3 feet

Step-by-step explanation:

Let x be the width of the grass strip.

So the length of the grass strip=18+2x

Area of the grass strip =2(18+2x)(x)+2(15)(x)=2(18x+2x^2)+2(15x)=(36x+4x^2)+30x=4x^2+66x^2

But the available grass seed is enough for 234 ft squared

4x^2+66x=234

4x^2+66x-234=0

x={-66+-[(66)^2–4(4)(-234)]^1/2}/2(4)

x={-66+-[4356+3744]^1/2}/8={-66+-[8100]^1/2}/8

x={-66+-(90)}/8

Two values of x: x=(-66+90)/8=24/8=3 and the other value of x=(-66–90)/8=-19.5. Adopt the positive value of x=3 feet (answer)

So the width of the strip is 3 feet.

Check for the area of grass strip around the fish pond : Area=2(18+6)(3)+2(15)(3)=2(24)(3)+90=144+90=234 square feet

Other area check =4x^2+66x=4(3)^2+66(3)=36+198=234 square feet

Therefore the strip is 3 feet wide

Answer:

The principal is $2400

Step-by-step explanation:

Given

[tex]P = \$24000[/tex]

[tex]t = 9[/tex]

[tex]r =12\%[/tex]

[tex]I = \$25920[/tex]

Required

The principal amount

The principal amount is the amount invested.

From the question, we understand that $24000 was invested.

Hence, the principal is $24000

Answer:

x+4=72

x=72-4

x=68

Step-by-step explanation:

let x be one number and 4 be anothe number then sum of the two number be x and 4

Answer:

Option B, The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times

Step-by-step explanation:

The distribution of apple candies can be represented as normal curve and hence the sample proportion for this is true and can be drawn.

The rest other cases do not represent a normal distribution and hence it will not be easy to plot curve for these samples.

hence, option B is correct

I'll focus on problem 2.

For these types of problems, I recommend graphing the functions to see how the end behavior looks.

The graph of y = x^2 has a parabola where both endpoints aim upward. So each end goes to positive infinity (regardless if x is going to positive or negative infinity).

In short, the graph rises to the left and it rises to the right.

Increasing the leading coefficient will not change this fact. We can pick any leading coefficient we want and the end behavior will stay the same. All that matters is the leading coefficient is positive.

If the leading coefficient becomes negative, then everything flips: the endpoints will aim down. The other terms we add on (such as a 3x+3) will not change the end behavior. The leading term, with the largest exponent, is what directly and solely determines the end behavior.

The graph is shown below. I used GeoGebra to make the graph. Desmos is another handy tool you could use.

Answer:

B, if you have any questions how I did anything, or questions in general, let me know.  

Step-by-step explanation:

First you want to make sure you understand distributing.  Just using variables I will show how to districute a similar expression.

(a - b)(c + d - e)

There are several ways to think of it.  you could treat (a-b) as one term and distribute it into c + d - e like this.  pretend (a- b) = x

x(c + d - e) = cx + dx - ex = c(a-b) + d(a-b) - e(a-b)

Then just do a bit more distributing, then combine like terms.

You could instead make (c + d - e) a single term and distribute that into (a-b)

I prefer doing it all in one step, similar to FOIL-ing.  Take the first term of one of the expression in parenthesis and distribute it, then move on to the second and so on.

so with (a - b)(c + d - e) I would start with a and distribute that into (c + d - e) and get ac + ad - ae then do the same to -b and get -bc - bd + be then you add the two parts together. ac + ad - ae + -bc - bd + be = ac + ad - ae -bc - bd + be.  Then you would combine like terms.  Let me know if you need help with that.  

Anyway, now for your problem.  Keep in mind you can use any of the methods.

(2x^2 - 3y^2)(4x^4 + 6x^2y^2 + 9y^4)

First distribute 2x^2 into (4x^4 + 6x^2y^2 + 9y^4)

8x^6 + 12x^4y^2 + 18x^2y^4

Next distribute -3y^2 into (4x^4 + 6x^2y^2 + 9y^4)

-12x^4y^2 - 18x^2y^4 - 27y^6

Now add the two together.

8x^6 + 12x^4y^2 + 18x^2y^4 + -12x^4y^2 - 18x^2y^4 - 27y^6 = 8x^6 + 12x^4y^2 + 18x^2y^4 - 12x^4y^2 - 18x^2y^4 - 27y^6

Finally combine like terms.

12x^4y^2 - 12x^4y^2 = 0

18x^2y^4 - 18x^2y^4 = 0

So that leaves us with 8x^6 - 27y^6

B is the only answer that works, none of the other 3 can be simplified or adjusted to make them equal what we need, so B is the only right answer.  

If you have any questions though let me know.

The attached graph represents the sequence of transformations

The coordinates of the triangle LMN are

L = (-6, 1)

M = (-4, 3)

N = (-1, 1)

When reflected on y = x, we have:

L' = (1, -6)

M' = (3, -4)

N' = (1, -1)

When translated 1 unit left, we have:

L'' = (0, -6)

M' = (2, -4)

N' = (0, -1)

See attachment for the sequence of transformations

Read more about transformation at:

https://brainly.com/question/11709244

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Answer:

Survey Data Collection.

Step-by-step explanation:

This is a survey because there are survey questionnaires (wellness exam).

Answer:

Observational Study Is the Answer

Answer:

quadratic formula is ur answer for letter B

Answer:

46 hours per week

Step-by-step explanation:

diide 506 by 11 weeks!

Answer:

Table A

Step-by-step explanation:

y  = 3x^2 +2x -8

The quadratic is in the form

y = a x^2 +bx+c

a = 3  b = 2 c = -8

Since a > 0 it opens up

The y intercept is c so the y intercept is -8

[tex]\sf \bf {\boxed {\mathbb {\: x = \frac{(p + 5)}{(4 + q)} }}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]p = 4x + qx - 5 \\ [/tex]

[tex]➺ \: p = x \: (4 + q) - 5 \\ [/tex]

[tex]➺ \: x \: (4 + q) = p + 5 \\[/tex]

[tex]➺ \: x = \frac{(p + 5)}{(4 + q)} \\ \\ [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

thiếu giữ liệu không thể trả lời được

Step-by-step explanation: