Robbie Morse has a $47,500 insurance policy. The annual premium is $987.53. Robbie pays $90.00 monthly.

Calculate the following. (Use a thousands comma where applicable.)

In twelve months, Robbie pays $___
Robbie pays $___ more monthly than he would annually.
To the nearest percent, Robbie pays ___% more by paying monthly than he would paying annually.

The value of the given expression that is log₄ 18 = 2.084

A logarithm operation can be rewritten as a fraction of logarithms with a new base using the change of base formula.

Example: logₐ b = (logₓ b) / logₓ a)

Therefore, log₄ 18 = (log₁₀ 18) / (log₁₀ 4).....eq(i)

We know, log₁₀ 4 = 0.602

We can write log₁₀ 18 as log₁₀(2x9).

Using the product rule of logarithms, log₁₀ 18 = log₁₀2 + log₁₀9log₁₀ 18 = 0.301 + 0.954log₁₀ 18 = 1.255

Substituting the value of log₁₀ 18 = 1.255 in eq(i) we get,

log₄ 18 = 1.255/0.602log₄ 18 = 2.084

The final answer to the question is log₄18 = 2.084 using the change of base formula.

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The translation is given by option (C)3 units left ,1 unit down.

A translation occurs when you a graph is moved either horizontally or vertically. That is to say, each point on the parent graph gets translated in one of four directions: left, right, up, or down. There is usually addition or subtraction involved in translation.

Let us consider the function y=|x+3|-1 which is translated from the parent function of y=|x|.

The following steps are followed for the translation of the function:

The translation can be seen in the attached graphical representation of the two functions.

The blue line represents the translated function while the red line represents the parent function.

Therefore the translation required for the function y=|x+3|-1 from y=|x| is 3 units left and one unit down .

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The domain and the range of a function is the set of input and output values of the function.

The domain is the set of all whole numbers.

The range is the set of all whole numbers.

Let the number of tickets be x, and the revenue be y.

So, the revenue function will be:

y = 125

The number of tickets cannot be less than 0.

So, the domain of the revenue function is

domain=0,∞

The above means that, the domain is the set of all whole numbers

Similarly, the revenue cannot be less than 0.

So, the range of the revenue function is

range = 0,∞

The above means that, the range is also the set of all whole numbers (in multiples of 125).

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The required value up to the nearest hundredth of change of base of the log function is given by1.39.

What is a logarithmic function?

A function which is the inverse of the exponential function is called a logarithmic function. It is depicted by writing a log before any number, variable or function. Log functions are strictly increasing functions in nature.

Calculation of the value of  log₇15  

We know that log₇15 can be written as log15 / log7, using the properties of the logarithmic function, log

Now, log₇15 = 1.1761 / 0.845

= 1.392

Hence, the required value up to the nearest hundredth is given by 1.39.

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Answer:

x = - 4

Step-by-step explanation:

given a quadratic function in standard form

y = ax² + bx + c ( a ≠ 0 ) then the axis of symmetry is

x = - [tex]\frac{b}{2a}[/tex]

h(x) = 5x² + 40x + 64 ← is in standard form

with a = 5 , b = 40 , then axis of symmetry is

x = - [tex]\frac{40}{10}[/tex] = - 4

The number under a radical sign is called the Radicand .

Radicals : A no . of the form [tex]\sqrt[n]{x}[/tex] is called a radical , where x is the radicand and n is the index of the radical . Ex . of radicals [tex]\sqrt[3]{5}[/tex] , [tex]\sqrt{7}[/tex] , [tex]\sqrt[5]{3}[/tex] and so on .

It can be expressed in the form of rational exponent ( [tex]x^{1/n}[/tex] ) . This can be done by keeping the radicand as it is and raising the index to the power of exponent hence , it will be converted to rational exponent .

For ex . [tex]\sqrt{2}[/tex] = [tex]2^{1/2}[/tex] ,  [tex]\sqrt[3]{5}[/tex] = [tex]5^{1/3}[/tex] , [tex]\sqrt[5]{7}[/tex] = [tex]7^{5}[/tex] , and so on .

Hence , the number under a radical sign is called the Radicand .

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The value of the expression (3.5^7/3.5^6)^2 is 12.25

The expression is given as

3.5 raised to the seventh power divided by 3.5 raised to the sixth power, all raised to the second power.

Rewrite properly as

(3.5^7/3.5^6)^2

Apply the law of indices

So, we have

(3.5^7/3.5^6)^2 = (3.5^7-6)^2

This gives

(3.5^7/3.5^6)^2 = (3.5)^2

Evaluate the exponent

(3.5^7/3.5^6)^2 = 12.25

Hence, the value of the expression (3.5^7/3.5^6)^2 is 12.25

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The two ways to generate fractions equivalent to a given fraction include:

A Multiply the numerator by a nonzero number or divide the denominator by a nonzero number.

B..Multiply or divide the numerator and denominator by the same nonzero number.

It should be noted that equivalent fractions simply means the fractions that are the same when reduced to their lowest terms.

It should be noted that multiplying the numerator by a nonzero number or divide the denominator by a nonzero number as.also.doung the same for the numerator and denominator by the same nonzero number will given an equivalent fraction.

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Since 8>3

[tex]f(8) = 7[/tex]

Answer:

2 550

Step-by-step explanation:

Total no. of people who already have a decision, as a % =  45%+38% = 83%

No. of people who haven't decided yet, as a % = 100% - 83% = 17%

No. of people who haven't decided = 15 000 x 17/100 = 2 550

Answer:

in order from greatest to least, 9.7 times 10^5, 9/7, 7/9, 10^-5

Step-by-step explanation:

if you put them in a graphing calculator you'll get the answers. try desmos

Answer:

Step-by-step explanation:

mdcmmmm

Nope, the domain is not centered at any point, let along that this is a linear function.

The person pay $9.13 for 5.5 pounds of bananas .

It is given that $1.66 per pound of bananas .

1 pound of banana cost = $1.66

5.5 pounds of banana cost will be [tex]=5.5\times1.66[/tex]

                                                         [tex]=\$9.13[/tex]

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Values of x are 0, 6 + ✓48i/2 and 6 - ✓48i/2.

3 + [tex]{(4 - x)}^{3/2}[/tex]= 11

Subtracting 3 on both sides of the equation, we get

3 + [tex]{(4 - x)}^{3/2}[/tex]- 3 = 11  - 3

[tex]{(4 - x)}^{3/2}[/tex]  = 8

Squaring both the sides of the equation, we get

[tex] {(4 - x)^{3/2 \times 2} }[/tex] = 8²

(4 - x)³ = 64

Using the identity (a - b)³ = a³ + b³ + 3a²b - 3ab², we get

4³ + x³ + 3×4²x - 3×4×x² = 64

64 + x³ + 48x - 12x² = 64

x³ - 12x² + 48 = 0

Taking x common from the above equation, we get

x(x² - 12x + 48) = 0

x = 0 and x² - 12x + 48

Sovling the quadratic equation x² - 12x + 48, we get

x = -b+✓(b² - 4ac)/2a and  -b-✓(b² - 4ac)/2a

x =  -(-12)+✓((-12)² - 4(1)(48))/2(1) and -(-12)-✓((-12)² - 4(1)(48))/2(1)

x = 12+✓(144-192)/2 and 12-✓(144-192)/2

x = 12+✓-48/2 and  12-✓-48/2

x = 12+✓48i/2 and 12-✓48i/2

x = 6+✓48i/2 and 6-✓48i/2

Thus, the values of x are 0, 6+✓48i/2 and 6-✓48i/2

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If  the hexagon is rotated counterclockwise about its center so that the vertex at O is moved to K. The amount of  degrees that the hexagon rotate is: 120°.

Let P represent the center point

First step is to calculate or to determine the central angle

Central angle=360°/6

Central angle=60°

Second step is to calculate the degree that hexagon rotate if it  rotate counterclockwise about its center

Hence,

∠KPO=2×60°

∠KPO=120°

Therefore If  the hexagon is rotated counterclockwise about its center so that the vertex at O is moved to K. The amount of  degrees that the hexagon rotate is: 120°.

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Answer:

f(x) = 3x + 5

Step-by-step explanation:

Because if the y-intercept is increased by two units in the slope formula where b is the y-intercept, then the answer is 3x + 5.

Answer:

The xxx-intercept is the point where a line crosses the xxx-axis, and the yyy-intercept is the point where a line crosses the yyy-axis.

Step-by-step explanation:

The mean lifetime of a bulb is 31. 57

Mean can be defined as the average of a given set of values or elements.

The formula for the mean of a given set of values is expressed as;

Mean = sum of the occurrence of the values/ number of values

Or

Mean = sum of terms/number of terms

From the information given, the frequency of the lifetime of the bulbs were given as;

34, 31, 94, 40 , 0 , 17, 5

The sum of the terms is given as:

= 34 + 31 + 94 + 40 + 0 + 17 + 5

= 221

The number of terms = 7

Substitute into the formula

Mean = 221/ 7

Mean = 31. 571

In 2 decimal place

Mean = 31. 57

Thus, the mean lifetime of a bulb is 31. 57

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According to the scale model, the bus has a real length of 252 inches (21 feet).

Scales are ratio between two lengths, scales are an useful resource to represent systems in affordable dimensions (i.e. The Empire State Building in a piece of paper). In this case, scales are defined by the following formula:

r = l' / l

Where:

If we know that r = 1 / 21 and l' = 12 in, then the real length of the bus is:

l = l' / r

l = 12 in / (1 / 21)

l = 252 in

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Answer:

Step 3, computed the radius multiply by the center angle

Step-by-step explanation:

{arc-length: a *  r}

arc-lenght= 3\pi * 9 = 27pi inches. John made his first error in sept 3, he listes the correct equations, but he should have computed the radius by the center angle

Answer:

Step-by-step explanation:

On the number line, if 'A' lies at 7 then 'B' could lie at -2, 16.

What is a number line?

A number line can be stretched in either direction indefinitely and is commonly displayed horizontally.

The numerals on the number line grow as one goes from left to right and drop as one moves from right to left.

Given, AB = 9 and 'A' lies at 7

So, basically 'B' can be at -2 on the number line which makes the distance between 'A' and 'B' 9 units. The same is possible for B at 16 on the number line.

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The solution to all parts is shown below.

Simply dividing the total number of values in a data set by the sum of all of the values yields it. The calculation can be performed on unprocessed data or data that has been combined into a frequency table.

1. The value of 5 in 2875 is 5.

2. The product is 360

3. Additive inverse is -1

4. Mode = 4

9. Range = 96 - 12 = 84

10. 1/60

12. -3.45 x -1000 = 3450

13. Number of edges of the cylinder is 2.

14. Faces = 6

16. 3365 x 164 – 2365 x 164

= 164( 3365 - 2365)

= 1640

17. (a) 168.96 /8 = 21.12

(b) 505 ÷ 100 = 50.5

18. 15625 = [tex]5^6[/tex]

19. Mean = 45/5= 9

21. 778,500,000,000 m = 7.7785 x [tex]10^{11[/tex] m

22. length of the garden = 25.3 / 4.4 = 5.75 m

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Answer:

y=x-3

Step-by-step explanation:

4x-5=7+4y

Subtract 7 from both sides.

4x-12=4y

Divide 4 from both sides.

x-3=y

y equals x minus 3.

y=x-3

Hope this helps!

Please mark as brainliest if correct!

Answer:

team b by 1.1

Step-by-step explanation:

everything else was wrong when i did it

The bounds of C is 635 - 644

The bounds of D is 415 - 424

The lower bounds of C + D can be found by adding 635 + 415, which is 1050

The upper bounds of C + D can be found by adding 644 + 424, which is 1068

So, the lower bounds of C + D is 1050 and the upper bounds is 1068

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. 

The upper bound is 1068 and the lower bound is 1050

The lower bound is the smallest value that would round up to the estimated value. The upper bound is the smallest value that would round up to the next estimated value.

Given here, c rounded to the nearest 10 is 640 and d rounded to the nearest 10 is 420. Then we have the minimum and maximum value as

Min C = 635 and Max C = 644 & Min D=415 and Max D = 424

Therefore the upper bound for c+d = 644+424

                                                           = 1068

    And the lower bound for c+d = 635+415

                                                      =1050

Hence The upper bound is 1068 and the lower bound is 1050

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The coordinates of the sequence of transformations is R' (3, -4), S' (3, -1) and T' (1, -4)

The complete question is added as an attachment

The coordinates of the triangle are given as

R = (-4, 1)

S = (-4, 4)

T = (-2, 1)

The sequence of transformations is given as

The rules of the above sequence of transformations are

When the above transformations are combined, we have

(x, y) = (-x - 1, y - 5)

So, we have

R' = (4 - 1, 1 - 5) = (3, -4)

S' = (4 - 1, 4 - 5) = (3, -1)

T = (2 - 1, 1 - 5) = (1, -4)

Hence, the image of the sequence of transformations is R' (3, -4), S' (3, -1) and T' (1, -4)

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If  Mr. Mady opens a savings account with principal P dollars that pays 2.11% interest compounded quarterly. His ending balance after one year algebraically is: A = P(1 + 0.0211/4)^4.

Given:

Rate= 2.11%

Now let express Mr Mady ending balance after one year algebraically by using this formula

A=P(1+r/n)^n

Where:

A = Future value

P=Principal

r= Rate

N=Number of period

Let plug in the formula

A = P(1 + 0.0411/4)^4

Therefore If  Mr. Mady opens a savings account with principal P dollars that pays 2.11% interest compounded quarterly. His ending balance after one year algebraically is: A = P(1 + 0.0211/4)^4.

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The value of x if the value of the perimeter of the figure is equal to the value of the area is 1.5

Area of rectangle = perimeter of rectangle

Length × width = 2(length + width)

6 × 2x = 2(6 + 2x)

12x = 12 + 4x

12x - 4x = 12

8x = 12

x = 12 / 8

x = 1.5

So,

Width of the rectangle = 2x in

= 2(1.5)

= 3 in

Therefore, the length and width of the given rectangle is 6 in and 3 in respectively

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