You deposit $3000 in an account earning 8% interest compounded monthly. How much will you have in the account in 10 years?

For this case we must indicate an expression equivalent to:

[tex]x ^ {- \frac {5} {3}}[/tex]

By definition of power properties we have to:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

Then, we can rewrite the expression as:

[tex]\frac {1} {x ^ {\frac {5} {3}}}[/tex]

We also have that by definition of properties of powers it is fulfilled that:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

Then, the expression is like:

[tex]\frac {1} {\sqrt [3] {x ^ 5}}[/tex]

ANswer:

Option B

Answer:

The correct answer options are C. [tex]\frac{x^2+5}{x-8}[/tex] and D. [tex]\frac{x^2-x-56}{x^2-64}[/tex].

Step-by-step explanation:

The values which make the denominator equal to zero are called the excluded values.

Here, we can substitute 8 for x and check if it makes the denominator 0.

[tex]\frac{x-8}{x+8} = \frac{8-8}{8+8} =\frac{0}{16} =0[/tex]

[tex]\frac{x-2}{x^2-4} = \frac{8-2}{8^2-4} =\frac{6}{60} =\frac{1}{10}[/tex]

[tex]\frac{x^2+5}{x-8} = \frac{8^2+5}{8-8} =\frac{69}{0}[/tex]

[tex]\frac{x^2-x-56}{x^2-64} = \frac{8^2-8-56}{8^2-64} = \frac{0}{0} =0[/tex]

[tex]\frac{8x^2-2}{x^2-16} = \frac{8(8)^2-2}{8^2-16} =\frac{510}{48}[/tex]

Answer:

C. x^2+5/x-8

D. x^2-x-56/x^2-64

Step-by-step explanation:

just did the assignment and can confirm the answer above me is correct

Answer:

affect males more than females

can be carried by females, without being expressed

are caused by genes carried on the X and Y chromosomes

Step-by-step explanation:

Perimeter of triangle = 3(side)

P = 3(s)

12 = 3s

12/3 = s

4 = s

I think there is a typo in your post.

The question should be: WHICH ONE OF THE FOLLOWING IS A POSSIBLE SIDE OF THE TRIANGLE?

In that case, 4 cm is the answer. However, 4 cm is not listed among the choices. So, choice d is the answer.

Answer: 3.1 cm

Step-by-step explanation:isosollese triangle has 2 equal sides that are longer than legnth of base

perimiter=15.7

equation is 2a+b=15.7

so if the longer side is 6.3, wat is legnth of base

we know that identical sides are bigger so 6.3 is one of the identical sides

2a means the 2 idneical sides

2(6.3)+b=15.7

12.6+b=15.7

subtract 12.6 from btohs ides

b=3.1

answer is base=3.1 cm

If x is zero then you must replace x with zero and use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction) to solve

7 + (-4(0)^2)

7 + (-4(0))

7 + 0

7

If x is 0 then the expression equals 7

Hope this helped

~Just a girl in love with Shawn Mendes

Answer:

[tex]\boxed{7}[/tex]

X=0 is 7.

7 is the correct answer.

The answer should have a positive sign.

Step-by-step explanation:

Order of operations

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

from left to right.

Distributive property: a(b+c)=ab+ac

[tex]7+(-4x^2)[/tex]

[tex]7+-4x^2[/tex]

[tex]7-4*0^2[/tex]

Do exponent.

[tex]0^2=0*0=0[/tex]

[tex]7-0=7[/tex]

7 is the correct answer.

Hope this helps you!

Thanks!

Have a nice day! :)

-Charlie

The formula for slope is

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

In this case...

[tex]y_{2} =3\\y_{1} =7\\x_{2} =2\\x_{1} =-2[/tex]

^^^Plug these numbers into the formula for slope...

[tex]\frac{3-7}{2 - (-2)}[/tex]

[tex]\frac{-4}{4}[/tex] -------------------> Simplifies to -1

                                                ^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

[tex]\large\boxed{h=\dfrac{3V}{\pi r^2}}[/tex]

Step-by-step explanation:

[tex]V=\dfrac{1}{3}\pi r^2h\to\text{It's the formula of a volume of a cone}\\\\\text{Solve for}\ h:\\\\\dfrac{1}{3}\pi r^2h=V\qquad\text{multiply both sides by 3}\\\\\pi r^2h=3V\qquad\text{divide both sides by}\ \pi r^2\\\\h=\dfrac{3V}{\pi r^2}[/tex]

Answer:

Step-by-step explanation:

Note that (x^a)^b = x^ab.

Thus,  (x^2/3)^4/5 = x^(2/3 * 4/5) = x^(8/15)

To simplify the expression (x^2/3)^4/5, multiply the exponents and provide the resulting exponent x^8/15.

To simplify the expression (x2/3)4/5, we can use the rule of exponents which states that when raising a power to another power, we multiply the exponents. In this case, the exponent 4/5 applies to both the x and the 2/3. Multiplying the exponents gives us 2/3 * 4/5 = 8/15. Therefore, the simplified expression is x8/15.

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Answer:

[tex]\large\boxed{y-4=\dfrac{9}{2}(x+5)}\\\boxed{9x-2y=-53}[/tex]

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-7, -5) and (-5, 4).

Calculate the slope:

[tex]m=\dfrac{4-(-5)}{-5-(-7)}=\dfrac{9}{2}[/tex]

Put it and coordinates of the point (-5, 4) to the equation:

[tex]y-4=\dfrac{9}{2}(x-(-5))[/tex]

[tex]y-4=\dfrac{9}{2}(x+5)[/tex] → the point-slope form

Convert to the standard form Ax + By = C :

[tex]y-4=\dfrac{9}{2}(x+5)[/tex]         multiply both sides by 2

[tex]2y-8=9(x+5)[/tex]        use the distributive property

[tex]2y-8=9x+45[/tex]           add 8 to both sides

[tex]2y=9x+53[/tex]          subtract 9x from both sides

[tex]-9x+2y=53[/tex]           change the signs

[tex]9x-2y=-53[/tex] → the standard form

Answer:

The upper graph

Step-by-step explanation:

We have two quadratic function here

[tex]y=-x^{2} +3x+5\\y=x^{2} +2x\\[/tex]

If we perform the function f(x) + g(x), which is nothing more than the sum of the two functions, we obtain a linear function, since the quadratic terms are eliminated by themselves

[tex]5x+5[/tex]

The Fahrenheit temperature range at which the antifreeze protects the car, converted from Celsius, is -40°F ≤ F ≤ 284°F.

To convert the Celsius range to a Fahrenheit range, you can use the conversion formula, F = (9/5)*C + 32. Using this formula, for -40°C the Fahrenheit equivalent would be F = (9/5)*(-40) + 32 which equals -40°F, and for 140°C the Fahrenheit equivalent would be F = (9/5)*(140) + 32 = 284°F. Therefore, the compound inequality representing the Fahrenheit temperature range at which the antifreeze protects the car is -40°F ≤ F ≤ 284°F.

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Answer: (D) The domain but not the range of the transformed function is the same as that of the parent function.

Step-by-step explanation: Because domain is on the X-axis, and the graph would go infinitely, the domain would not change. The range would change  from X>0 to X<0.

Answer:

The answer is The domain of the transformed function is the same as the parent function, but the ranges of the functions are different

 I took test on edg  2020 and i got right believe me

Step-by-step explanation:

Step-by-step explanation:

Let's start with the y-intercept.  (0, 50) is shifted 10 units to the right and becomes (10, 50).  Next, we know the slope is 5.  We can use this to plot more points, or we can use it to write an equation in point-slope form:

y - 50 = 5 (x - 10)

y - 50 = 5x - 50

y = 5x

So the new y-intercept is (0, 0).

What this means is that Jeremy's savings account will be worth $50 in ten years.

If we compare the new y-intercept to the old one, we see that the 10 unit shift to the right is the same as a 50 unit shift down.  Shifting graph B up 50 units will bring us back to the original graph.

Answer:

The vertical asymptote is at P = 100

Step-by-step explanation:

* Lets explain what are the vertical asymptotes

- Vertical asymptotes are vertical lines which correspond to the zeroes

  of the denominator of a rational function

- Vertical asymptotes can be found by solving the equation n(x) = 0

  where n(x) is the denominator of the function t(x)/n(x)

- Note: this only applies if the numerator t(x) is not equal zero for the

 same value of x

# Example: to find the vertical asymptote to [tex]f(x)=\frac{3x-1}{x-5}[/tex]

  put the denominator x - 5 = 0, and solve it

  the value of x = 5, then the vertical asymptote is at x = 5

* Lets solve the problem

- The equation of the cost is [tex]C=\frac{25000P}{100-P}[/tex]

∵ The denominator of C is (100 - P)

- To find the vertical asymptote equate the denominator by zero

∴ 100 - P = 0 ⇒ add P for both sides

∴ P = 100

∴ There is a vertical asymptote at P = 100

* The vertical asymptote is at P = 100

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]f(x)=x^{2}-2x+3[/tex]

This is the equation of a vertical parabola open upwards

The vertex is a minimum

The vertex is the point (1,2)

The y-intercept is the point (0,3)

The function does not have x-intercepts

see the attached figure

Answer:

Option B

When it was purchased (year 0) the coin was worth $7

Step-by-step explanation:

we have

[tex]f(t)=7(2)^{t}[/tex]

This is a exponential function of the form

[tex]y=a(b)^{x}[/tex]

where

a is the initial value

b is the base

In this problem we have

a=$7

b=2

b=1+r

so

2=1+r

r=1

r=100%

The y-intercept is the value of the function when the value of x is equal to zero

In this problem

The y-intercept is the value of a rare coin when the year t is equal to zero

[tex]f(0)=7(2)^{0}[/tex]

[tex]f(0)=\$7[/tex]

therefore

The meaning of y-intercept is

When it was purchased (year 0) the coin was worth $7

Answer:

T(x) = 88 + 12x

Step-by-step explanation:

Givens:

1st hour = 100 copies

subsequent hours s(x) = 12( x - 1), where x is number of hours

Let total sales be represented by T(x)

Total sales, T(x)

= sales in first hour + sales in subsequent hours

=  100 + 12 (x - 1)

= 100 + 12x - 12

= 88 + 12x

Answer: Total sales function is [tex]S(x)=88+12x[/tex]

Step-by-step explanation:

Since we have given that

Number of copies the first hour he sell at a local game = 100

Sales function is expressed as

[tex]s(x)=12(x-1)=12x-12[/tex]

so, function that shows total sales including the first hour is given by

[tex]S(x)=100+s(x)\\\\S(x)=100+12x-12\\\\S(x)=88+12x[/tex]

Hence, total sales function is [tex]S(x)=88+12x[/tex]

let's recall that there are 16oz in 1 lbs, so then 12lbs is 12*16 = 192oz, plus 5, that makes it 197oz, so then 12lb 5oz is really 197oz.

likewise, 7lb is 7*16 = 112oz, plus 10 that makes it 122oz.

197 - 122 = 75 oz

and 75 oz is just 16+16+16+16+11, 4lbs and 11 oz.

Answer:

c=ab/(2b+a)

Step-by-step explanation:

20^c = 4^c  *  5^c

20^c=  (2^2)^c   * 5^c

20^c= (2 )^(2c)   * ( 5 )^c

Raise both sides to power a

20^(ca)=(2^a)^(2c)  * (5  )^(ac)

20^(ca)=(20^c)^(2c) * (5  )^(ac)

Raise both sides to power b

20^(cab)=(20)^(2c^2b)*(5^b)^(ac)

20^(cab)=20^(2c^2b) * (20^c)^(ac)

20^(cab)=20^(2c^2b) * 20^(ac^2)

Rewriting using law of exponents on right hand side

20^(cab)=20^(2c^2b+ac^2)

Now bases are same so that means the exponents have to be the same, that is we have:

cab=2c^2b+ac^2

assuming c is not 0, divide by c on both sides

ab=2cb+ac

Factor the right hand side

ab=c(2b+a)

Divide both sides by (2b+a)

c=ab/(2b+a)

C  is expressed in terms of b as c = [tex](5^b) / 2.[/tex]

To express c in terms of b in the equation [tex]2^a = 5^b = 20^c[/tex], we need to use the property of exponents that states:

[tex]a^(m * n) = (a^m)^n[/tex]

Let's first express [tex]20^c[/tex] in terms of 2 and 5:

[tex]20^c = (2^2 * 5)^c = 2^(2c) * 5^c[/tex]

Now, we have the equation:

[tex]2^a = 5^b = 2^(2c) * 5^c[/tex]

Since the bases (2) and (5) are equal, the exponents must also be equal:

a = 2c

Now, we can express c in terms of b:

Divide both sides of the equation by 2:

c = a/2

Since we know that a = [tex]5^b[/tex], we can substitute it into the equation:

[tex]c = (5^b) / 2[/tex]

So, c is expressed in terms of b as c = (5^b) / 2.

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Answer:

25h-35=440

440+35=25h

475=25h

475÷25=h

h=19

19 hours

It will take 19 hours of lessons.

An equation is formed of two equal expressions. The answer describes the correct solution for the situation It will take 19 hours of lessons. The correct option is D.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Ahmet rents a piano for $35 per month. He earns $25 per hour giving piano lessons to students. Therefore, the profit earned by Ahmet will be,

Profit = Total Earning - Expenditure

Profit = Total Earning - Cost of renting the piano

Profit = $25x - $35

Where x represents the number of hours

Now, since Ahmet wants to earn a profit of $440, this month. Therefore, we can write,
$440 = $25x - $35

$440 + $35 = $25x

$475 = $25x

x = $475 / $25

x = 19

Thus, Ahmet needs to give 19 hours of lessons in order to earn $440 profit.

Hence, the answer describes the correct solution for the situation is It will take 19 hours of lessons.

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Answer: 15

Step-by-step explanation:

Answer:

Step-by-step explanation:

EH =15

Answer:

5 meters

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z -----> the scale factor

P1 -----> the perimeter of the reduced rectangle on the right

P2 ----> the perimeter of the original rectangle on the left

[tex]z=\frac{P1}{P2}[/tex]

substitute

[tex]z=\frac{24}{30}=0.8[/tex]

step 2

Find the width of the reduced rectangle on the right

[tex]P1=2(L+W)[/tex]

substitute the given values

we have

[tex]L=8\ m[/tex] ---> see the attached figure to better understand the problem

[tex]24=2(8+W)[/tex]

[tex]12=8+W[/tex]

[tex]W=4\ m[/tex]

step 3

Find the width of the original rectangle on the left

To find the width of the original rectangle on the left, divide the width of the reduced rectangle on the right by the scale factor

so

[tex]W=4/0.8=5\ m[/tex]

Answer:

A. 5 meters

Step-by-step explanation:

Answer:

$2,812.50

Step-by-step explanation:

Let

y ----> amount that Sarah earn this month

x ----> amount of sales over $5,750

we know that

5%=5/100=0.05

The linear equation that represent this situation is

y=4(525)+0.05(x)

Find the value of x

x=20,000-5750=$14,250

substitute

y=4(525)+0.05(14,250)=$2,812.50

Sarah Jones earned $9,725 this month.

Sarah Jones earns $525 per week selling life insurance for Farmer’s Insurance plus 5% of sales over $5,750. Sarah’s sales this month (four weeks) are $20,000. To find out how much Sarah earns this month, we need to calculate her base salary and her commission earned from sales over $5,750:

Therefore, Sarah earns $9,725 this month.

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Answer:

opposite angles in parralelograms are congruent

Step-by-step explanation:

Answer:

equal

Step-by-step explanation:

Opposite angles in parallelograms are equal.

[tex]f^{-1}(7)=\dfrac{7-1}{3}=\dfrac{6}{3}=2[/tex]

The inverse of a function is f⁻¹(7) equals 2.

The correct option is B.

To find the value of f⁻¹(7), we need to substitute 7 into the inverse function f⁻¹(x) = x - 1/3.

f⁻¹(7) = (7 - 1)/3

f⁻¹(7) = 6/3

Since 6 divided by 3 is equal to 2, we have:

f⁻¹(7) = 2

Therefore, f⁻¹(7) equals 2.

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180° - 113° - 53° = 14°

The answer is b. 14

Answer:

C

Step-by-step explanatio

33 + 33 + 38 + 35 +37 + 40 + 57 = 273

273 / 7 = 39

33 + 33 + 38 + 35 +37 + 40 = 216

216 / 6 = 36

The mean (average) of the data set without the outlier is 36 and including the outlier is 39. The outlier here being the value 57 which deviates most from the other values in data set.

To find the mean (or average) of a data set, you add all the values together and then divide by the count of the values.

Firstly, for the mean without the outlier, we add 33+33+38+35+37+40 = 216, which we then divide by the 6 values, giving us 36. So, the mean without considering the outlier is 36.

For the mean considering all values including the outlier (57), calculate 33+33+38+35+57+37+40 = 273, then divide by the 7 values, which gives us approximately 39. The answer to the nearest tenth is 39.0. Therefore, the mean of this data set with the outlier is 39.0 and without the outlier is 36.0.

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Answer:

5ab+a-4

Step-by-step explanation:

Answer:

x = 14 and z = 96

Step-by-step explanation:

The 2 marked angles are vertical and congruent, hence

9x - 42 = 5x + 14 ( subtract 5x from both sides )

4x - 42 = 14 ( add 42 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Hence 5x + 14 = (5 × 14) + 14 = 70 + 14 = 84°

z and 5x + 14 form a straight angle and are supplementary, hence

z + 84 = 180 ( subtract 84 from both sides )

z = 96