In 1990, the average monthly bill for cellular telephone service was $80.90. From 1990-1997, the monthly bill decreased by 8.6% per year (in other words, each year the bill is 91.4% of
what is was the previous year (Source: Statistical Abstract of the United States).
Part a: Write a formula for the average monthly cellular telephone bill in terms of the year. Let n = 1 represent 1990.
Part b: What was the average monthly bill in 1993

Answers

Answer 1

A)The formula for the average monthly cellular telephone bill in terms of the year will be A = 80.90(0.914)ⁿ⁻¹

B)The average monthly bill in 1993 willl be $ 61.77

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.

The formula for the average monthly cellular telephone bill in terms of the year willl be,

A=P(R/100)ⁿ

A = 80.90(0.914)ⁿ⁻¹

The average monthly bill in 1993 is found as ;

n=4 for 1993

A=P(R/100)ⁿ

A = 80.90(0.914)³⁻¹

A=$ 61.77

Hence the formula for the average monthly cellular telephone bill in terms of the year will be A = 80.90(0.914)ⁿ⁻¹ and the average monthly bill in 1993 willl be $ 61.77.

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In 1990, The Average Monthly Bill For Cellular Telephone Service Was $80.90. From 1990-1997, The Monthly

Related Questions

Angela is an electrical engineer who is testing the voltage of a circuit given a certain current and resistance. she uses the following formula to calculate voltage:

the circuit she tests has a current of 3 + j 4 amps and a resistance of 4 - j 6 ohms.

what is the voltage of the circuit?

Answers

The Voltage of the given Circuit is gotten as; V = 36 - 2j Volts

How to multiply Vectors?

We are given;

Current; I = 3 + 4j amps

Resistance; R = 4 - 6j ohms

From ohms law, we know that;

V = IR

Thus;

V = (3 + 4j) * (4 - 6j)

V = 12 + 16j - 18j - 24j²

Now, in vector notation; j² = -1. Thus;

V = 12 - 2j + 24

V = 36 - 2j Volts

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PLS HELP I DONT KNOWWW!!

Answers

Answer:

3rd option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

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

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, - 1) ← 2 points on the line

m = [tex]\frac{-1-(-2)}{4-0}[/tex] = [tex]\frac{-1+2}{4}[/tex] = [tex]\frac{1}{4}[/tex]

the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = [tex]\frac{1}{4}[/tex] x - 2 ← equation of line

This can be solved using the gradient-intercept formula:

y = mx + c

where,
m is the gradient, and
c is the y-intercept (where the line crosses the y-axis)

Gradient can be calculated using the following formula, or rise/run:

m = (y2 - y1)/(x2 - x1)
= (-1 - - 2)/(4 - 0)
= 1/4

Therefore, using the gradient-intercept form:
y = mx + c
y = (1/4)x + (-2) (-2 is the point where the line crosses the y-axis)

Therefore, y = (1/4)x - 2 or Option C is the answer

Does this graph show a function? Explain how you know.

Answers

Answer:

No, the graph fails the vertical line test

Step-by-step explanation:

To determine if the graph is a function, we can use the vertical line test.

Use a vertical line, if the vertical passes through two or more points, the graph is not a function

Looking at the y axis ( which is a vertical line), it passes through two points

This means the graph is not a function

No, the graph fails the vertical line test

Please help due tomorrow

What transformations could have been used to map ABCE onto A’B’C’D’E?

Answers

Answer: This looks like it is a reflection of the y-axis and then an enlarging dilation.

G E Which of the following segments is tangent to the circle ? 1) overline HL 2 ) overline DE 3 overline FG 4 ) overline AC

Answers

Answer:

DE

Step-by-step explanation:

........................

Find the value of x ??
A. 31
B. 5
C. 11
D. 25

Answers

Answer: 11

Step-by-step explanation:

By the trapezoid midsegment theorem, x = (9+13)/2 = 11

The function y = f(x) is graphed below. What is the average rate of change of the
function f(x) on the interval -3 ≤ x ≤-1?

Answers

The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

What is the average rate of change?

The average Rate of Change of the function f(x) can be calculated as;

[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]

Interval -3 ≤ x ≤-1

a = -3, b = -1

f(a) = f(-3) = -20

f(b) = f(-1) = 0

Step 2: Find Average

[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\\\f(x) = \dfrac{f(-1) - f(-3)}{-1-(-3)}\\\\\\f(x) = \dfrac{0 - (-20)}{2}\\\\f(x) = 10[/tex]

Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

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Given that y varies directly as x², find the percentage increase in y when x doubles.

Answers

Answer:400%

Step-by-step explanation: by the commutativity of multiplication we find (2x)^2=4(x^2)=4(y)

Calculate the unpaid balance, finance charge, and new balance using the unpaid balance method. Note: Interest rate is given as a monthly rate
Previous balance:$179.32
Payments/credits:$85.00
Unpaid balance:$
Monthly rate:1.25%
Finance charge:$
New purchases=$117.42
New balance=$

Answers

The Unpaid balance is $94.32, Finance charge is $1.179 and new balance is $148.079.

Finance charge

Unpaid balance:

Unpaid balance=Previous balance-Payments/credits

Unpaid balance=$179.32-$85.00

Unpaid balance= $94.32


Finance charge:

Finance charge =Finance charge×Monthly rate

Finance charge=$94.32×1.25%

Finance charge=$1.179

New balance:

New balance =Previous balance-(New purchases-Payments/credits)+Finance charges

New balance=$179.32-($117.42-$85.00)+$1.179

New balance=$179.32-$32.42+$1.179

New balance=$148.079

Therefore the Unpaid balance is $94.32, Finance charge is $1.179 and new balance is $148.079.

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Answer:

94.32

1.18

212.92

in order

Step-by-step explanation:

state one example of 2 numbers where the LCM of the 2 numbers is the product of those numbers. explain your answers​

Answers

Answer:

See below

Step-by-step explanation:

3 and 5     have a LCM of 15    which is  3 * 5

Which is equivalent to 3√8* ?

O x √8^3
O 8 ^3/x
O 8 ^x/3
O 8^3x

Answers

Answer:

O 8 ^x/3

Step-by-step explanation:

Remember that :

[tex]\sqrt[n]{x} = x^\frac{1}{n}[/tex]

………………………………

Then

[tex]\sqrt[n]{8^x} = (8^{x})^{\frac{1}{3}}[/tex]

      [tex]= 8^{x\times\frac{1}{3}[/tex]

      [tex]=8^{\frac{x}{3}[/tex]

how to solved theses question (4.2×7)-10.4÷2²+2.9×3-6 explain​

Answers

Answer:

29.5

Step-by-step explanation:

Use PEDMAS

P - Paraenthesis

E -Exponents

D - Divsion

M - Multiplication

A and S - Addition and subtraction respectively.

First multiply 4.2 and 7 as they are inside the parenthesis

Then find 2² which 4

(4.2 *7) - 10.4 *2² + 2.9*3 - 6 = 29.4 - 10.4 ÷2² + 2.9*3 - 6   {Parenthesis}

                                              = 29.4 - 10.4÷4 + 2.9*3 - 6   {Exponents}

                                               = 29.4 - 2.6 + 2.9*3 - 6    {Division}

                                              = 29.4 - 2.6 + 8.7 - 6   {Multiplication}

                                              = 29.5

A circle inside of a square. The square has side lengths of 5 meters.
Tariq also designs hot tubs. The diameter of the hot tub is 3 meters. What is the area of the deck that surrounds the hot tub? If necessary, round to the nearest tenth.

Answers

Answer:

the area is 25/4 π

Step-by-step explanation:

diameter is 5 m

area will be 25/4π

Answer:

  17.9 m²

Step-by-step explanation:

The area of the deck is the difference between the area of the square and the area of the circular hot tub.

__

square area

The area of the square is given by the formula ...

  A = s² . . . . where s is the side length

For a side length of 5 m, the area is ...

  A = (5 m)² = 25 m²

circle area

The area of a circle is found from the formula ...

  A = (π/4)d² . . . . where d is the diameter

For a diameter of 3 m, the area is ...

  A = (π/4)(3 m)² = 9/4π m² ≈ 7.069 m²

deck area

The area of the deck is the difference between the square area and the circle area:

  deck area = 25 m² -7.069 m² ≈ 17.9 m²

The area of the deck surrounding the hot tub is about 17.9 m².

please answer I've got 10 mins
100 POINTS FOR BRAINLIEST

Determine if the two expressions are equivalent and explain your reasoning.
3(4n) + 2 + 6n and 13n + 2

Answers

Answer:

3(4n) + 2 + 6n

12n + 2 + 6n

12n + 6n + 2

18n + 2 is not equal to 13n + 2

hence both the expression are not equivalent

13 7in 7in 7in volume and surface area pyramid

Answers

The Volume and Surface Area of Prism is 294 in² and 114.33 in³.

What is pyramid?

A large structure built especially in ancient Egypt that usually has a square base and four triangular sides meeting at a point and that contains tombs.

Surface rea of rectangular prism,

= 2( lb +bh +lh)

= 2 ( 7*7 + 7*7+ 7*7)

= 2 ( 49+49+49)

= 2*3*49

= 294 in²

Now, Volume,

= bhl/3

= 7*7*7/3

= 114.33 in³

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solution.
5(4x + 7)-2x = ________+ 21

Answers

Answer:

18x + 14

Step-by-step explanation:

First, we need to distribute the 5:

 5(4x + 7) - 2x = __ + 21

 20x + 35 - 2x = __ + 21

Now, we can combine like terms:

 20x + 35 - 2x  = ___ + 21

  18x + 35 = ___ + 21

> subtract 21 from both sides to isolate "___"

 18x + 35 = __ + 21

          -21             -21

18x + 14 = ___

now that we have a solution, we should check that it works:

5(4x + 7) - 2x = ____ + 21

5(4x + 7) - 2x = 18x + 14 + 21  

{simplify both sides:}

20x + 35 -2x = 18x + 35

18x + 35 = 18x + 35

(TRUE)


So, we know our solution is 18x + 14

hope this helps!!

30.
10 cm
O
7 cm
10 cm
4 cm
How many triangles are needed to draw the net of this object?

Answers

There are two triangles in the figure(triangular prism) option third is correct.

What is a triangular prism?

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is a name given to this novel 3D object.

The complete question is:

How many triangles are needed to draw the net of this object?

4321

For the figure please refer to the attached picture.

As we can see in the figure we have given a triangular prism:

The triangular prism has two triangles.

A triangle for the base of the prism and a triangle for the top of the prism.

The lateral faces of the prism are rectangular.

Thus, there are two triangles in the figure(triangular prism) option third is correct.

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What is the function written in vertex form? f(x) = 4(x 6)2 10 f(x) = 4(x 6)2 – 26 f(x) = 4(x 6)2 – 134 f(x) = 4(x 6)2 154

Answers

The required vertex form of the given equation is a) [tex]4(x-6)^2 +10[/tex] is correct

the function  [tex]y=4x^2+24x+154[/tex] is given,

What is vertex form?

vertex form of a equation [tex]y=ax^2+bx+c[/tex] is given by [tex]y=a(x-h)^2+k[/tex].

since [tex]y=4x^2+24x+154[/tex]
Now h = - b/2a

   h = -N

Now at x = 0
  k = 10
vector form can be given by  [tex]4(x+6)^2 +10[/tex]

The question is incomplete. The question could be:

what is the correct vertex form of equation [tex]y=4x^2+24x+154[/tex]?
a)[tex]4(x+6)^2 +10[/tex]
b)[tex]4(x-6)^2 -26[/tex]
c)[tex]4(x-6)^2 -134[/tex]
d)[tex]4(x-6)^2 +154[/tex]


Thus, the vector form of the given function is [tex]4(x+6)^2 +10[/tex]

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what is the length of the base? help me please thank u ;)​

Answers

Answer:   26

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

Explanation:

a = 26 and b = 26 are the congruent legs

angle C = 60 degrees is between sides 'a' and b

c = unknown base which is opposite angle C

We'll use the law of cosines to find this missing side.

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 26^2 + 26^2 - 2*26*26*cos(60)

c^2 = 676

c = sqrt(676)

c = 26

It turns out that all three sides are the same length (26), which means this isosceles triangle is really equilateral. Consequently, it means all three interior angles are 60 degrees each.

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

Here's another way to see why we have an equilateral triangle.

The vertex angle is 60 degrees. Let x be the measure of each base angle. Those two base angles add to the 60 degrees to get 180

x+x+60 = 180

2x+60 = 180

2x = 180-60

2x = 120

x = 120/2

x = 60

Each base angle is 60 degrees, so all three angles are 60 degrees. This points us to the triangle being equilateral and we can say all three sides are 26 units long.

If we didn't have an equilateral triangle, then we'd have no choice but to use the law of cosines mentioned earlier.

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:base \:\:side = 26 \:\: units [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

As the two sides of the triangle are equal, the corresponding angles opposite to the the sides are equal as well.

[tex] \textsf{let each of those angles measure ' x ' } [/tex]

[tex]\qquad \tt \rightarrow \:x + x + 60 = 180[/tex]

[ sum of all interior angles of a triangle ]

[tex]\qquad \tt \rightarrow \:2x + 60 = 180[/tex]

[tex]\qquad \tt \rightarrow \:2x = 180 - 60[/tex]

[tex]\qquad \tt \rightarrow \:2x = 120[/tex]

[tex]\qquad \tt \rightarrow \:x = \cfrac{120}{2} [/tex]

[tex]\qquad \tt \rightarrow \:x = 60 \degree[/tex]

Therefore, all angles of the triangle are equal. that being the case we can conclude that it's an equilateral triangle.

henceforth, all its sides are equal to one another.

[tex]\qquad \tt \rightarrow \:base \: \: side = \: \: 26 \: \: units[/tex]

Dilate the figure by the scale factor. Then enter the new coordinates.
K= 2

Answers

Answer:

A(2, 8)

B(4, 4)

C(-4, 2)

Step-by-step explanation:

Multiply all the coordinates by 2

You are walking directly away from your house.
You are 5 miles away from your house when
you start walking, so you can determine your
distance from your house by adding 5 to the
number of miles you have walked. In the
equation below, a represents the number of
miles you have walked, and y represents your
distance from home in miles.
The relationship between these two variables
can be expressed by the following equation:
y = x + 5
Identify the dependent and independent
variables.
Your distance
from home
Number of
miles you
walk
Dependent
variable
Independent
variable

Answers

Answer:

dependent: your distance from home

independent: number of miles you walk

Step-by-step explanation:

lmk if you want an explanation

The function a(b) relates the area of a trapezoid with a given height of 14 and one base length of 5 with the length of its other base. It takes as input the other base value, and returns as output the area of the trapezoid. a(b)=14 x b+5/2

Answers

A function assigns the values. The inverse of the function in terms of the area will be b=(a/7)-5.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The complete question is,

The function a(b) relates the area of a trapezoid with a given height of 14 and one base length of 5 with the length of its other base. It takes as input the other base value, and returns as output the area of the trapezoid. a(b)=14 x b+5/2. Write a function in terms of area to find the length of the other side.

The given is the function of the area of the trapezoid, a(b)=14 x b+5/2.

The area of a trapezoid is given as,

Area = Height × [(Sum of parallel sides)/2]

The given function can be written in terms of area as,

[tex]a = 14\times \dfrac{(b+5)}{2}\\\\\dfrac{2(a)}{14} = b+5\\\\\dfrac{2(a)}{14} -5= b\\\\\dfrac{(a)}{7} -5= b[/tex]

Hence, the inverse of the function in terms of the area will be b=(a/7)-5.

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I need help with dis math problem (img included)

Answers

Answer:

4500 sec

Step-by-step explanation:

1hr 15min= 75 min

75 x 60=4500

Helppp! Which linear inequality is represented by the graph

Answers

the answer is c because the line is solid so it is less than or equal to since it is also shaded below. secondly, the slope is 2/3 because it moves up two and over three, and the y-intercept is 0.2 or 1/5

show that 8/15 plus 3/10 equals 5/6​

Answers

Step-by-step explanation:

find the Lcm of 15 and 10 which is 30

multiply the 2fractions by the LCM

8/15*30=16

3/10*30=9

add the products and put them all over the Lcm

(16+9)/30

=25/30 which is equivalent to 5/6 when you divide both the numerator and the denominator by 5

In ABC, CT is a median. What is the measure of AB?

Fill in the blank by enter in just a number for your answer.

Answers

Answer:

AB = 102

Step-by-step explanation:

the median CT bisects the side AB at T , then

BT = AT , that is

7x + 9 = 5x + 21 ( subtract 5x from both sides )

2x + 9 = 21 ( subtract 9 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

then

AB = 5x + 21 + 7x + 9 = 12x + 30 = 12(6) + 30 = 72 + 30 = 102

The measure of AB is 102.

How to estimate the measure of AB?

The median CT bisects the side AB at T, then

BT = AT

7x + 9 = 5x + 21

subtracting 5x from both sides of the equation, we get

2x + 9 = 21

subtract 9 from both sides, and we get

2x = 12

Divide both sides by 2, we get

x = 6

then, AB = 5x + 21 + 7x + 9

AB = 12x + 30

Substituting the value of x,

12x + 30 = 12(6) + 30

= 72 + 30

AB = 102

Therefore, the measure of AB is 102.

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Find the length of side BC.
Give your answer to 3 significant figures.
C
A
71°
B

Answers

Answer:

BC ≈ 19.4 cm

Step-by-step explanation:

using the cosine ratio in the right triangle

cos71° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{6.3}{BC}[/tex] ( multiply both sides by BC )

BC × cos71° = 6.3 ( divide both sides by cos71° )

BC = [tex]\frac{6.3}{cos71}[/tex] ≈ 19.4 cm ( to 3 sig. figs )

Answer:

19.4°

Step-by-step explanation:

I put the image of how I did it if you don't understand let me know

Write [tex]\frac{1}{22}[/tex] as a decimal, Also please include the working out plus anyone that includes other examples will be given brainlest!

Thank you!

Answers

Do long division (see the attachment).

[tex]\dfrac{1}{22}=0.04545\ldots=0.0\overline{45}[/tex]

Suzy invests $2,600 in an account that earns 2.3% annual interest, compounded continuously. What is the value of the account after 10 years? Round to the nearest dollar

Answers

Answer:

$3,272

Step-by-step explanation:

Continuous Compounding Formula

[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]

where:

A = Final amountP = Principal amounte = Euler's number (constant)r = annual interest rate (in decimal form)t = time (in years)

Given:

P = $2,600r = 2.3% = 0.023t = 10 years

Substitute the given values into the formula and solve for A:

[tex]\sf \implies A=2600e^{(0.023 \times 10)}[/tex]

[tex]\sf \implies A=2600e^{0.23}[/tex]

[tex]\implies \sf A=3272.360026...[/tex]

Therefore, the value of the account after 10 years is $3,272 to the nearest dollar.

What’s the answer? How do I find the opposite

Answers

Answer:

I think the answer is 4

Step-by-step explanation:

Other Questions
17. What is the value of x in the rhombusbelow?AC(x+ 40)B3xD18 A 1dm3 solution was made by mixing 0.0040 mol of HCl(aq) and 0.0025 mol of NaOH(aq). What was the pH of the resulting solution? Which equation can be used to solve for xxx in the following diagram?Choose 1 answer:Choose 1 answer:(Choice A)A2x = 4x2x=4x2, x, equals, 4, x(Choice B)B2x + 4x = 1802x+4x=1802, x, plus, 4, x, equals, 180(Choice C)C2x + 4x = 902x+4x=902, x, plus, 4, x, equals, 90(Choice D)D2x + 4x = 1502x+4x=1502, x, plus, 4, x, equals, 150 Which statement about the rights African Americans were guaranteed before the Civil War is true?They could own property and serve on juries.They could attend school and serve in the army.They were considered equal to all other citizens.They enjoyed very few or no civil rights at all. Analyze the graph of the cube root function shownon the right to determine the transformations ofthe parent function. Then, determine the values ofa, h, and k in the general equation.y = ax-h+kh =k =DONE Which of the following is a characteristic of theme?A.it is the same as a moral.B.it runs throughout a text.C.it exists only in literature.D.it is unique to each piece of work. How can you use quantitative chemistry and reaction dynamics to explain and optimize industrial processes and reactions that happen in everyday life? $9,500 is invested in an account earning 9.1% interest (APR), compoundedquarterly. Write a function showing the value of the account after t years, where tannual growth rate can be found from a constant in the function. Round allcoefficients in the function to four decimal places. Also, determine the percentagegrowth per year (APY), to the nearest hundredth of a percent. My family .. bigA) is B) are 35. The grocery store sells a package of 6 pudding cups for $2.88. What is the cost for one of the puddingcups in the package? Interest expense on the $30,000 loan obtained from the city council on August 1 should be recorded. Which expression can be used to convert 22 Australian dollars to US dollars?Assume 1.2 Australian dollars equals 1 US dollar. they paint their house every year ( change to passive voice ) Marriages integrate family groups in tribal societies by: Which of the following is not a natural hazard? aPollution bLandslides cEarthquakes dCoastal erosion Jimmy Page puts $30 into a savings account that promises 1% interestcompounded quarterly. Which formula would you use to determine theaccount balance in 25 years? George miller proposed that about seven information bits constitutes the capacity of: a. what happens to the number of sandwiches and ice cream cones consumed if the price of ice cream cones rises to $2 a piece? 4. Write the function of a linear equation that includes thepoints (1,3) and (2,9). 30 POINTS FOR THE ANSWER Rico is about to send his first professional design project to a printer and he wants to make sure he has not forgotten any of the steps. He decides to do some research on how the colors will look on paper compared to his monitor. After he completes his research, he realizes that having a checklist for each job would help him remember all the steps.For this discussion, do some research on how printed colors will look compared to colors on your monitor. What possible solutions may work for you to help increase the likelihood that the printed colors will match the monitor colors? After doing that research, create a checklist of the steps involved with preparing a file for printing. Make sure to include items learned in this lesson and what you learned in your research.