Use the properties of exponents to simplify the expression ³√5 x ³√25.

Answer:

4.02 inches

Step-by-step explanation:

48.24/12= monthly average

=4.02 inches

The interest earned on even a $30,000 deposit compounded monthly at 1% is $15150.75.

Compound interest is applied when the principal amount changes after the specified time period.

For example, if you give someone $500 at a 10% yearly interest rate, $500 is your principal amount. After one year, the interest will be $50, and the principle amount will indeed be $550; therefore, the interest for the following year will be $550, not $500.

P = P₀e^rt where r represents the annual interest rate as well as t represents the time period in years.

So,

P₀ = 30000

r = 1% = 0.01

t = 6 months = 0.5 year

So,

P = 30000e^0.01(0.5)

P = 30000 × 1.5050250835

P = $45150.752505

So, interest

I =45150.752505- 30000 = $15150.75

The interest earned on even a $30,000 deposit over six months at 1% compounded daily is $15150.75

To know more compound interest visit:

https://brainly.com/question/14295570

#SPJ9

Answer:

ok..I think it Is C or B! not 100% sure tho..

The domain is all real numbers and the range is 21 for the given function that is f(x) = 21.

According to the question, the domain can take only those values through which expression can be defined. And the range is the set of values for the given function.

Therefore, the function is: f(x) = 21

So, for this expression, the variable 'x' can take any real values from the interval of (-∞ , ∞).

And the range is 21 for the given function.

Hence the domain is (-∞ , ∞) and the range is 21.

What is domain and range in the function?

The domain of a function can be defined as the complete set of all the possible values for the dependent variables. Similarly, the range of the function can be expressed as the set of all the values which can be assumed by the expression of the function.

To learn more about the domain and the range of the function from the given link:

https://brainly.com/question/26098895

#SPJ9

The population of the Bownville city reach 1,548,800 at nearly 2015

Given, Since January 2000,

The population of the city of Brownville has grown according to the mathematical model.

Y= 720,500(1.022) x

Where, X= number of years

To find:  If this continues, predict the year during which population of Brownville will reach 1,548,800

Starting population = 720,500

Growth rate = 1.022

(720500) (1.022) x = 1,548,800

1.022x = 2.1496

Taking log on both sides

log1.022x = log2.1496

x log 1.022 = log 2.1496

x=log 1.022×2.1496

x=15

Therefore, nearly it takes 15 years to reach the population 1,548,800

Hence the population of the Bownville city reach 1,548,800 at nearly 2015.

To learn more about mathematical model visit:

https://brainly.com/question/731147

#SPJ1

The order from the least to the greatest is 0.1, 1/4, 40%, 9/7.

The numbers given are in improper fraction, decimals, proper fraction and percentage.

Improper fraction is a fraction in which the numerator is greater in value than the denominator. Proper fraction is a fraction in which the numerator is less in value than the denominator. A decimal is a number that consists of integers and non-integers separated by a decimal point. Percentage is the fraction of an amount expressed as a number out of 100.

For ease, all the numbers would be converted to percentages :

9/7 x 100 = 128.57%

0.1 = 10%

1/4 x 100 = 25%

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ1

1.111 liters of water must be added to 5 kilograms of soil.

According to the statement, water percentage is equal to the ratio of water mass divided by the total mass of water and dust and multiplied by 100. Then, the initial and final percentages are defined below:

Initial percentage

y / 5 = 0.12                              (1)

Final percentage

(y + x) / (5 + x) = 0.28             (2)

Then, we need to resolve the resulting system of linear equations:

y = 0.6                  (1)

y + x = 1.4 + 0.28 · x

0.72 · x = 1.4 - y

x = 1.944 - 1.389 · y

x = 1.111

We need to add 1.111 kilograms of water. If the density of a kilogram per liter, the volume required in liters is:

V = (1.111 kg) / (1 kg / L)

V = 1.111 L

1.111 liters of water must be added to 5 kilograms of soil.

To learn more on system of linear equations: https://brainly.com/question/27664510

#SPJ1

Answer: m=20

Step-by-step explanation:

Isolate m by multiplying 5 on both sides. m= 4*5 => m=20

Answer:625 ft

Step-by-step explanation:

The solution for the unknown variable in I = PRT where I = 2160, P =24000 and R = 0.03 is 3

The given parameters are

I = PRT

Where

I = 2160, P =24000 and R = 0.03

Substitute I = 2160, P =24000 and R = 0.03 in the above equation I = PRT

2160 = 24000 * 0.03 * T

Evaluate the product

So, we have

2160 = 720 * T

Divide both sides by 720

T = 3

Hence, the solution for the unknown variable in I = PRT where I = 2160, P =24000 and R = 0.03 is 3

Read more about simple interest at

https://brainly.com/question/20690803

#SPJ1

Step-by-step explanation:

9x°+(8x+3)=180°

17x°+3=180°

17x°=180°-3°

17x°=177°

x=177/17

x=10.41

With Combination, There are the 98280 ways by which we place books on the shelf.

According to the statement

We have to find that the number of ways can by which place books on the shelf.

So, For this purpose, we know that the

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

From the given information:

The library has 28 science fiction books. Each shelf holds 5 books

Then

apply the combination,

Then

C(n,r) = C(28,5)

after solving it become

C(28,5) = 28! /(5!(28-5)!)

And

C(28,5) = 28! /(5!(23)!)

Then after rearranging the terms and solving the value becomes

C(28,5) = 98280.

So, With Combination, There are the 98280 ways by which we place books on the shelf.

Learn more about Combination here

https://brainly.com/question/295961

#SPJ9

Answer:

Y= 1/2

Gradient= y2-y1/x2 -x2=m

Given that:

y2=1

y1=Y

x1=-4

x2=-5

1-y/-4-(-5) =2

1 - y/-4+5 =2

cross multiply

2(1-y) = -4+5

2-2y =1

-2y =1-2

-2y = -1

divide both sides by the coefficient of y

Y = 1/2

Answer:

Step-by-step explanation:

x= -2

Answer:

64

Step-by-step explanation:

Formula is V = x³

For x = 4 feet
V =4³ = 4 x 4 x 4 = 64 cubic feet

===========================================================

Explanation:

The preimage (-6,-2) shifts to the image point (-4,-4)

Focus on the x coordinates. The jump from -6 to -4 is an increase of 2. So we have x become x+2

Now focus on the y coordinates. The jump from -2 to -4 is -2, so y becomes y-2

The translation rule we use is [tex](\text{x},\text{y})\to (\text{x}+2,\text{y}-2)[/tex] which shifts the point 2 units to the right and 2 units down.

-----------------

Let's apply this rule to the point (3,-1)

[tex](\text{x},\text{y})\to (\text{x}+2,\text{y}-2)\\\\(3,-1)\to (3+2,-1-2)\\\\(3,-1)\to \boldsymbol{(5,-3)}\\\\[/tex]

The preimage (3,-1) shifts to the image (5, -3)

Answer:

i belive its 34% becouse you are saveing 170 dollars

Answer: No

Step-by-step explanation:

Answer: no

Step-by-step explanation: because it says 1 mile for every 6 minutes not it takes Akiko 1 mile in 6 minutes to get to school

The solution to the given inequality is x > 0. The graph of the solution to the inequality is shown below

From the question, we are to determine the solution of the given inequality

The given inequality is

3(x – 2) – (1 – x)  > 2x – 7

Solving the inequality

3(x – 2) – (1 – x)  > 2x – 7

First, clear the parentheses by applying the distributive property

3x - 6 - 1 + x > 2x - 7

4x -7 > 2x - 7

Then,

4x - 2x > -7 + 7

2x > 0

x > 0/2

x > 0

Hence, the solution to the given inequality is x > 0. The graph of the solution to the inequality is shown below

Learn more on Graphing Inequalities here: https://brainly.com/question/24372553

#SPJ1

No: g(x) of not the inverse function of f(x)

Given data

f(x) = -4 ( -2x + 9 )^3 - 8

g(x) = - cube root ( -5x + 6 ) + 2

f(x) = -4 ( -2x + 9 )^3 - 8

dividing through by - 4 gives

= ( -4 ( -2x + 9 )^3 ) / -4 - ( 8  / -4)

= ( -2x + 9 )^3 -  ( -2 )

=  ( -2x + 9 )^3 + 2

finding the cube root

= ( -2x + 9 )^3 + 2

= cube root ( ( -2x + 9 )^3 + 2 )

= ( -2x + 9 ) +  cube root ( 2 )

( -2x + 9 ) +  cube root ( 2 ) ≠ g(x) = - cube root ( -5x + 6 ) + 2

The equation solved is not equal to g (x), therefore we can say that g(x) of not the inverse function of f(x)

Read more on inverse function here: https://brainly.com/question/3831584

#SPJ1

Answer:  Domain:(−∞,∞),{x|x∈R} Range:{y|y=24}

Answer:

y=

24

x

Step-by-step explanation:

y

=

24

x

if im not mistaken

The value of bonds assuming the bonds are classified as: (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.) is Dr.$ [tex]$55,000[/tex] and Cr. $ [tex]55,000[/tex]

We are required to Prepare the appropriate journal entry on December 31, 2018, to properly value the bonds assuming the bonds are classified as

1. Trading securities.

2. Securities available for sale.

3. Held-to-maturity securities

For Dec 31,2021: For valuation of the bonds are classified as Trading securities (975,000-920,000) is Dr.$ [tex]$55,000[/tex] and Cr. $ [tex]55,000[/tex]

For Dec 31,2021: For valuation of the bonds are classified as Securities available for sale (975,000-920,000) is  Dr.$ [tex]$55,000[/tex] and Cr. $ [tex]55,000[/tex]

For Dec 31,2021: No journal entry required as this is held to maturity.

To know more about such questions, click on the link given below:

https://brainly.com/question/17405470

#SPJ1

The formula that correctly solves for C is D. C = 5/9 (F - 32)

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

The given formula is,

F = 9/5C + 32

where Celsius is C, and degrees Fahrenheit is F

To solve for C let us isolate C to the one side and other terms to the other,

9/5 C = F - 32

Multiplying both side by 5/9 we get,

9/5 C *5/9 = 5/9* (F - 32)

or, C = 5/9 (F - 32)

which is the formula for C.

Thus, the formula that correctly solves for C is D. C = 5/9 (F - 32)

To learn more about formula:

https://brainly.com/question/14497449

#SPJ1

Answer:g=2

3g+3-3=9-3

3g=6

3g/3=6/3

g=2

Step-by-step explanation:

there you go

[tex] \bf \implies g \: = 2[/tex]

[tex] \bf \longrightarrow3g + 3 = 9[/tex]

[tex]\bf \longrightarrow3g = 9 - 3[/tex]

[tex]\bf \longrightarrow3g = 6[/tex]

[tex]\bf \longrightarrow g = \bf\frac{ \cancel{6}}{\cancel{3}}2[/tex]

[tex]\bf \longrightarrow g = 2[/tex]

Answer:

[tex]\dfrac{11}{8}[/tex]

Step-by-step explanation:

Slope formula

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

[tex]\textsf{where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.}[/tex]

Define the points:

[tex]\textsf{Let}\:(x_1,y_1)=(5,7)[/tex]

[tex]\textsf{Let}\:(x_2,y_2)=(-3,-4)[/tex]

Substitute the defined points into the formula:

[tex]\implies \textsf{Slope}=\dfrac{-4-7}{-3-5}=\dfrac{-11}{-8}=\dfrac{11}{8}[/tex]

Therefore, the slope of (5, 7) and (-3, -4) is 11/8.

Answer: 4:1

Step-by-step explanation:

36 men: 9 ladies

36/9=

4/1 ==> 4 men: 1 lady

4:1

The linear function is V(x) = 800x + 2400.

Given,

The cost of computer when purchased (the initial book value), V = 2400 (x = 0)

Company chooses to depreciate for 3 years using straight line method.

The book value after 3 years = 0 (x = 3)

We have to write a linear function that expresses the book value of the computer as a function of its age V(x).

Here, the value is depreciating over 3 years.

That is 2400 in 3 years = 2400/3 = 800

That is depreciating $800 in a year.

Now we can write the equation as:

V(x) = 800x + 2400

When we consider slope-intercept form, we can check that the above given equation of a line passes through two points: (0, 2400) and (3, 0)

Learn more about depreciation here:

https://brainly.com/question/14160076

#SPJ1

The function g(x) that represents the required transformations of f(x) = x³ are;

A reflection across the x–axis;

A vertical stretch by a factor of 4;

A reflection across the y–axis;

A horizontal compression by a factor of 1/5;

The function g(x) that represents the reflection of f(x) across the x–axis is presented as follows;

g(x) = -f(x)

Therefore, we have;

f(x) = x³

Which gives;

The function, g(x) that represents a vertical stretch of a function f(x) by a factor of c, is presented as follows;

g(x) = c•f(x)

Where c = 4, we have;

g(x) = 4•f(x)

Therefore;

The function g(x) that represents a reflection across the y–axis is presented as follows;

g(x) = f(-x)

Therefore;

The function, g(x), that represents the horizontal compression of f(x) by a factor of c is presented as follows;

g(x) = f((1/c)•x)

Which gives;

g(x) = ((1/5)•x)³ = (x/5)³

Learn more about transformation of functions here:

https://brainly.com/question/27996647

#SPJ1