A payday loan store charges $40 for a one month loan of $600. What’s the annual interest rate equivalent to?

Answer:

it would take 215 dollars a year so it would take 23.3 years

The volume of the outdoor pyramid is 16 times greater than that of the indoor pyramid.

What exactly is a square pyramid?

With a square base and four triangular faces or sides that meet at a single point (known as the vertex), a square pyramid is a three-dimensional geometric object. Because to its five faces, it is known as a pentahedron.

The outdoor pyramids is in the space of a rectangular pyramids

  the volume of  a rectangular pyramids

                                       V₁ = 1/3 . b . b h

                                      = 1/3 . (35.4) .(35.4) . (21.6)

                                     = 9,022.752 m³

    the volume of  a indoor rectangular pyramids

                         V₂ = 1/3 . b . b . h

                             = 1/3 * (15.5) * (15.5) * 7

                            = 560.583 m³

            V₁/V₂  =  9022.752/560.583

                       = 16.095  ≈ 16

Therefore, the volume of the outdoor pyramid is 16 times greater than that of the indoor pyramid.

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Answer:9/41

SOH = opposite over hypotenuse

Step-by-step explanation:

Answer:

a. geometric series

b. r_n = 100 × (0.75)^n ft

c. 400

Step-by-step explanation:

a.

Start: 100 ft

After 1 hour: 75% of 100ft = 100 ft × 0.75

After 2 hours: 75% of 100ft × 0.75 = 100 ft × 0.75²

After 3 hours: 75% of 100 ft × 0.75² = 100 ft × 0.75³

Notice what is happening to the radius as the hours pass.

With each passing hour, the radius is 0.75 times the previous radius.

Since each new term is the previous term multiplied by a constant, 0.75, this is a geometric series.

b.

At each hour, multiply 100 ft by 0.75 raised to the number of the hour.

a_n = 100 × (0.75)^n ft

The nth term is 100 times 0.75 to the nth power.

c.

The sum of all the radii is the sum of a series that has 100 as its first term, and each subsequent term is 0.75 times the previous term.

r_n = 100(0.75)^n

Since the constant ratio has an absolute value less than 1, the series has a sum.

S = a_1/(1 - r)

S = sum of infinite series

a_1 = first term

r = constant ratio

S = 100/(1 - 0.75)

S = 100/0.25

S = 400

Answer:

9x-14

Step-by-step explanation:

the format of the slope intercept formula mx+b

Answer:

Step-by-step explanation:

Area of a rectangle is expressed as Length * Width

X = L*W where X is the area of the rectangle in fe²

If the triangle is eight times as long as it is wide, then L = 8W

Substitute L = 8W into the formula for calculating the area of a triangle, we will have;

X = L*W

X = (8W)*W

X = 8W²

The expression X in terms of W is therefore X = 8W²

Answer:

\(x + 90 \degree + 57\degree = 180\degree \\ x = (180 - 57 - 90)\degree \\ x = 33\degree\)

\(y = 2\)

Answer:

Danica made 11 dollars per hour.

Step-by-step explanation:

Divide- 440/40=11

Check 11*40=440

She made 11 dollars per hour.

Answer:11

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Substituting the points (0,2) and (1,0) into the slope formula, \(m=\frac{2-0}{0-1}=-2\).

Answer:

both factors contain 8

Step-by-step explanation:

16 = 4 x 4 or 2 x 2 x 2 x 2

24 = 4 x 6 or 2 x 2 x 2 x 3

2 x 2 x 2 = 8

both have 8

The transformation of f(x) to g(x) is :

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

The functions f(x) and g(x)

Where, we have

f(x) = x

g(x) = 1/9x - 2

The graph of the functions f(x) and g(x) are added as an attachment

And we have the transformations to be:

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Answer:

Step-by-step explanation:

1. the slope is -7/2

2. the slope is 2/3

y = mx + b

m is the slope

Slope is the number before the x so

1. -7/2

2. 2/3

Answer:

are you trying to get the discount amount?  or the discount off the $221 if so

$221 x .32 = $70.72 discount amount off the sale price $221 which would make the final price $150.28

Step-by-step explanation:

Answer:

The answer is "\(3x^3 + 6x^2 + 8x + 24 + \frac{47}{(x - 2)}\)"

Step-by-step explanation:

Given value:

\((3x^4 - 4x^2 + 8x - 1) \div (x -2)\\\\\)

Find:

quotient =?

please find the attachment.

The quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) is 3x³ + 6x² + 8x + 24

It can be expressed as 3x³ + 6x² + 8x + 24  + 47 / x - 2

Quotients is the number obtained by dividing one number by another.  

Therefore,

(3x⁴ - 4x² + 8x - 1) ÷ (x - 2)

Using synthetic division:

(3x⁴ - 4x² + 8x - 1) / (x - 2)  = 3x³ + 6x² + 8x + 24 remainder 47

3x⁴ - 4x² + 8x - 1 → Dividend

x - 2 → Divisor

3x³ + 6x² + 8x + 24 → Quotient

47 → Remainder

Therefore, the quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) is 3x³ + 6x² + 8x + 24

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Answer:

-x + 7 / x + 1

Step-by-step explanation:

6 -(x - 1)/ x + 1

Apply distributive law: -(x - 1) = -x + 1

= 6 - x + 1 / x +1

Group like terms:

= -x + 7/ x + 1

Answer:  its 5x+7/x+1

Step-by-step explanation:

Answer:

9.2 x 10^8 = 920,000,000 and 4.6 x 10^4 = 46,000

920,000,000:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

9.2  ×  10 ^8

46,000:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

4.6  ×  10 ^4

Step-by-step explanation:

I hope that this answer has helped you to understand your question asked. If you have any further questions please put them below.

Have a great day/night!

In the class, Lucy's score is 6.

In statistics, the median is the middle value in a sorted, ascending or descending list of numbers. Thus, it represents the midpoint of the data.

The median is often compared with other descriptive statistics such as the mean (average), mode, and standard deviation.

Since Lucy is one of the 29 students in the class and her score was the same as the median score for her class.

Thus, the median score will be 15th score (i.e. the midpoint of 29). Using the frequency in of each score from the figure, let's keep adding the frequency until we reach 15 and we will then check the corresponding score at the 15th position:

2 + 2 + 4 + 7 = 15

Thus, the the corresponding score at the 15th position is 6.

Therefore, the median score is 6 and consequently Lucy's score is 6.

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Answer:

a. Slope = 2; y-intercept = 2

b. Slope = 2; y-intercept = 3

c. Slope = 2; y-intercept = -1

d. Slope = -2; y-intercept = 5

e. Slope = -3; y-intercept = -5

d. Slope = -2; y-intercept = 1

Step-by-step explanation:

I Hope That This Helps! :)

Answer: 28.25%

Step-by-step explanation:

113/400=0.2825=28.25%

Answer:

30

Step-by-step explanation:

since the width is 20, there are 2 sides, so multiply by 2 and it's 40. Subtract 40 from 100 and you get 60. 60 is both lengths combined, so divide by 2 and you have 30 as your length. :)

Answer:

1. The scale factor here is 1.5

2. The scale factor here is 2/3

Step-by-step explanation:

Here, we shall be dealing with scales of triangles.

we have two triangles;

ABC and DEF

longest sides are in the ratio;

12 : 8

1. What scale factor translates DEF to ABC?

The ratio of the length can be beaten down to 3:2

So therefore, we can see that by multiplying the sides of of DEF by 1.5, we can arrive at the sides of ABC

So the scale factor here is 1.5

2. This is like the other way round of what we have above.

By multiplying the sides of ABC by 2/3, we shall have the sides of DEF

Since f(0) for the even function is not equal to f(0) of the odd function, it means that one−one function.

We are given the piecewise function as;;

       {n/2        if n is even

f(n) = {3n + 1   if n is odd

Given n/2  when n is even;

f(0) = 0/2 = 0

Given 3n + 1, when n is odd;

3(0) + 1 = 1

Since f(0) for the even function is not equal to f(0) of the odd function, it means that one−one function.

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Answer:is 1

identity property of 0 the definition is adding 0 to any number results in the number itself. and one 1 is have the same but other 3 is not.

Answer:

the correct answer is 10

Step-by-step explanation:

The simplified form of the expression is \(-32\).

To simplify the expression, we can perform the calculations written below step by step:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)

We follow the order of operations (PEMDAS/BODMAS):

Step 1: Simplify within parentheses:

\(\(4+6 = 10\)\).

Step 2: Perform multiplications and divisions from left to right:

\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).

Step 3: Evaluate the remaining additions and subtractions:

\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).

Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)

When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.

Finally, review the simplified expression to ensure accuracy and validity within the given context.

Note: The complete question is:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.

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Answer:

23

Step-by-step explanation:

32=3x-4+x

32=4x-4

+4       +4

36=4x

/4   /4

9=x

Larger #= 3x-4

Larger #= 3(9)-4

Larger #= 27-4

larger #= 23