Drake is considering buying one of the four popular e-readers where the e-reader's premium services is a monthly charge. The functions LaTeX: A_1\left(t\right)=\:5t+350,\:\:\:A_2\left(t\right)=10t+250,\:\:\:\:\:A_3\left(t\right)=499,\:and\:\:\:\:\:\:A_4\left(t\right)=15t+179A 1 ( t ) = 5 t + 350 , A 2 ( t ) = 10 t + 250 , A 3 ( t ) = 499 , a n d A 4 ( t ) = 15 t + 179 model the total amount of money A, in dollars, that Drake spends after buying the e-reader and subscribing to t months of the e-reader's premium services. Which e-reader has the greatest monthly subscription cost?

Answers

Answer 1

Answer:

[tex]A_4[/tex]

Step-by-step explanation:

The cost of the e-readers and the subscription of their services are

[tex]A_1(t)=5t+350[/tex]

[tex]A_2(t)=10t+250[/tex]

[tex]A_3(t)=499[/tex]

[tex]A_4(t)=15t+179[/tex]

The functions are of the form

[tex]A(t)=mt+c[/tex]

Where [tex]m[/tex] is the monthly subscription cost and [tex]c[/tex] is the cost of the e-reader.

So, 15 dollars is the highest subscription cost which is of the 4th e-reader.

Hence [tex]A_4[/tex] has the highest subscription cost.


Related Questions

Is this a good outfit for a family gathering/ holiday party?
Black velvet skinny jeans
cream/white shirt
oversized rose cardigan
sparkly barrette
lightly curled hair
matte light makeup

Answers

Answer:

in my opinion you should wear black velvet skinny jeans with oversized rose top and lightly curled hair

Step-by-step explanation:

that is in my opinion

Peyton has p pennies and n nickels. She has at most 18 coins altogether. Write this situation as an inequality.

Answers

Answer:

p + n ≠ 18

Step-by-step explanation:

What is the percent Of decrease from 50 to 21

Please anwser accurate and I give brailiest

Answers

Answer:

29%

Step-by-step explanation:

To find the decrease from 50 to 21 you would subtract 50 - 21. You get 29. This is the same as 29/100. 29/100 is also 0.29 or 29%.

Hope it helps! (I'm so sorry if it's incorrect).

Answer:

57.9% please give me brainliest i used a percentage calculator :)))

Step-by-step explanation:

how do i factorize x²-6x-16?​

Answers

Step-by-step explanation:

need a thanks and thats it...

(x-8)(x+2) so x = 8 or -2

1 yard of fabric costs $3.25. If you need 4.2 yards, how much will it
cost to purchase the fabrics needed?

Answers

Answer:

12.50$

Step-by-step explanation:

3 dollars for 1 yard

3x4=12

.25x2=50

12.50$

What is an equation of the line that passes through the points (5, 8) and (5,3)?

Answers

Answer:

x = 5

Step-by-step explanation:

to find the slope of the line you take the difference of the y-values divided by the difference of the x-values;  the denominator results in zero

When the denominator for slope is zero then you know the line will not intersect the y-axis at all and the line will be vertical and intersect the x-axis at the x-coordinate of any known point

any fraction with zero in the denominator is considered to be 'undefined'

any fraction with zero in the numerator is zero

triangles ABC and LMN are congruent according to which of the following congruence criteria?

O Angle Side Angle congruence criteria
O Side Side Angle congruence criteria
Side Angle Side congruence criteria
O Side Side Side congruence criteria

Answers

Answer:

Side Side Side congruence criteria

Step-by-step explanation:

As per diagram, the triangles have 3 congruent sides:

AB≅LMAC≅LNBC≅MN

So they are congruent by SSS criteria

A building in a shape of a cube has a width of 100 ft., a length of 100 ft., and a height of 100 ft. An architect wants to build a scale model of the building that is 10% smaller in volume. What is the height of the new building? Round to the nearest hundredth.

A) 90.75 ft.
B) 95.25 ft.
C) 96.55 ft.
D) 99.25 ft.

Answers

Answer: A) 90.75 ft.

Step-by-step explanation: because if we cut 10 from 100 we will get 90

Frankie borrowed 800 for 6 years. He is charged 5% simple interest. How much interest will he pay in 6 years

Answers

Answer: The required simple interest = $240

Step-by-step explanation:

Formula for simple interest:

Interest = Principal x rate x time

Given: Principal = $800

rate of interest = 5% = 0.05

Time = 6 years

Interest = 800 x 0.05 x 6 = $240

Hence, the required simple interest = $240


The sum of two numbers is 69. One number is 13 less than the other. Find the numbers.

Answers

Answer:

41, 28

Step-by-step explanation:

x+x-13=69

2x=69+13=82

x=82/2=41

41-13=28

Somebody help!!! Please!!!

Answers

Answer:

y = -1 !!!!!!!!!!! :)))))))))))))

Answer:

y=-1

Step-by-step explanation:

symmetry is where it is the same on both sides, so that would be the line between the top and bottom point and because they are up and down it is a y whereas if it were side to side it would be x. it is on the left side which are negatives and it is one over to the left making it y=-1

Burt's grandparents started a savings account for him when he was born. They invested
$1250 in an account that pays 7.5% interest every year. How much money is in the
account on Burt's 18th birthday?

Answers

Answer:

4594.76 USD will be in the account on Burt's 18th birthday.

Step-by-step explanation:

Since interest rate is constant in time, we can use the definition of composite interest to determine how much money will be on Burt's 18th birthday, that is:

[tex]C = C_{o}\cdot \left(1+\frac{r}{100} \right)^{t}[/tex] (1)

Where:

[tex]C_{o}[/tex] - Initial amount, measured in US dollars.

[tex]C[/tex] - Current amount, measured in US dollars.

[tex]r[/tex] - Annual interest rate, measured in percentage.

[tex]t[/tex] - Time, measured in years.

If we know that [tex]C_{o} = 1250\,USD[/tex], [tex]r = 7.5[/tex] and [tex]t = 18[/tex], then the money in the savings account on Burt's 18th birthday is:

[tex]C = (1250\,USD)\cdot \left(1+\frac{7.5}{100} \right)^{18}[/tex]

[tex]C = 4594.76\,USD[/tex]

4594.76 USD will be in the account on Burt's 18th birthday.

please help, the word cut off is slope: 3​

Answers

Answer:

1. y=3x-2

2. y=-1/4x+5

These equations are in slope-intercept form (y=mx+b). IN this equation m represents the slope and b represents the y intercept. Therefore, y=3x-2 and y=-1/4x+5 are correct

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6x – 15y = 135

Answers

Answer:

Step-by-step explanation:

Slope-intercept form means the equation of a line should be in this form:

[tex]y=mx+b[/tex]

So we re-write our equation into this form like this:

[tex]6x-15y=135\\-15y=-6x+135\\y=\frac{-6x+135}{-15} \\\\y=\frac{-6x}{-15}+\frac{135}{-15} \\\\y=\frac{2}{5}x-9 \\[/tex]

Evaluate if x=-4 and y=13 3(2x- y)

Answers

Answer:

-63

Step-by-step explanation:

6x - 3y

= 6 × -4 - 3 × 13

= -24 - 39

= -63

What is the value of x? There is isosceles triangle. The measure of angle which is between two congruent sides is (6x+10⁰). The measures of other angles are (x+17⁰) and (4x-34⁰).

Answers

Answer:-

x=17

step-by-step Explanation:-

[tex]{\boxed{\quad\:\mapsto\rm Firstly\:Let's\:understand\:the\:concept:-}}[/tex]

This is a isosceles triangle. As it is a triangle we can apply sum theory. we have to take the sum of given unknown polynomials as 180° .Then by solving it we can find the value of x.

Solution:-

Given angles

(6x+10°)(x+17°)(4x-34)°

According to sum theory

[tex]{\boxed{\sf The \:sum\:of\:angles=180°}}[/tex]

Substitute the values

[tex]\qquad \quad{:}\longmapsto\tt (6x+10)+(x+17)+(4x-34)=180 [/tex]

Remove brackets

[tex]\qquad \quad{:}\longmapsto\tt 6x+10+x+17+4x-34=180 [/tex]

Together like polynomials and constants

[tex]\qquad \quad{:}\longmapsto\tt 6x+x+4x+10+17-34=180 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x-7=180 [/tex]

Interchange sides

[tex]\qquad \quad{:}\longmapsto\tt 11x=180+7 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x=187 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt x=\cancel{\dfrac{187}{11}}[/tex]

Simplify

[tex]\qquad \quad{:}\longmapsto\tt x=17[/tex]

[tex]\therefore\sf The \:value\:of\:x\;is\:17.[/tex]

Solve for x. The answer needs to be simplified: 2x<15

Answers

Answer:

x < 15/2

Step-by-step explanation:

Step 1: Divide both sides by 2.

2x/2 < 15/2

x < 15/2

v. If ∆PQR≅∆ XYZ then which statement is true.
a.

b. c.

Answers

If ∆PQR≅∆ XYZ

that means PQ≡XY;QR≡YZ;PR≡XZ

452x12÷blank=452


Please help!

Answers

Answer: 12

Step-by-step explan

The opposte to dividing by 12 is multiplying by 12

If you needed another answer to mark the other person

(Another Easy Question) Claire has 5 markers and Bob has 3, what is the ratio of Bob’s markers to Claire’s markers? Marking Brainliest for the first correct answer!

Answers

Answer:

3:5

Step-by-step explanation:

If the temperature outside increases by 3 1/2 degrees every 1 1/2 hours, by how much will the temperature increase after 4 hours?

please answer in fractions.

Part 1:

What is the rate per hour of the temperature increase?

Part 2:

How much will the temperature increase after 4 hours?

Answers

Answer:

2 1/3 ; 9 1/3

Step-by-step explanation:

Given that:

Outside temperature increases by 3 1/2 degrees every 1 1/2 hours

The rate per hour of temperature increase will be :

Let rate per hour = x

3 1/2 = 1 1/2

x = 1

Cross multiply :

1 1/2 * x = 3 1/2 * 1

3x/2= 7/2

Multiply both sides by 2/3

3x/2 * 2/3 = 7/2 * 2/3

x = 14/ 6

x = 2 2/6

x = 2 1/3

Hence, outside temperature increases at the rate of 2 1/3 degrees per hour.

2.) Temperature increase after 4 hours :

(Temperature rate per hour * number of hours)

(2 1/3) * 4

(7/3) * 4

28 / 3

= 9 1/3

Hence, temperature increase after 4 hours = 9 1/3

2 1/3 ; 9 1/3

Step-by-step explanation:

Given that:

Outside temperature increases by 3 1/2 degrees every 1 1/2 hours

The rate per hour of temperature increase will be :

Let rate per hour = x

3 1/2 = 1 1/2

x = 1

Cross multiply :

1 1/2 * x = 3 1/2 * 1

3x/2= 7/2

Multiply both sides by 2/3

3x/2 * 2/3 = 7/2 * 2/3

x = 14/ 6

x = 2 2/6

x = 2 1/3

Hence, outside temperature increases at the rate of 2 1/3 degrees per hour.

2.) Temperature increase after 4 hours :

(Temperature rate per hour * number of hours)

(2 1/3) * 4

(7/3) * 4

28 / 3

= 9 1/3

Hence, temperature increase after 4 hours = 9 1/3

I know because i am in the future

give answer ☜
fast

ಠᴥಠ​

Answers

Answer:

Question a:

[tex]\frac{(2^3)^6 \times 9^3}{4^2 \times 27}\\= \frac{2^{18} \times 3^6}{2^4 \times 3^3}\\=2^{14} \times 3^3[/tex]

Question b:

[tex]\frac{35 \times 7^3}{5^2 \times 343}\\= \frac{7 \times 5^1 \times 7^3}{5^2 \times 7^3}\\= \frac{5^1 \times 7^4}{5^2 \times 7^3}\\=\frac{7^1}{5^1} = \frac{7}{5}[/tex]

Question c:

Note that this one is particularily simple as anything to the power of zero is equal to 1

[tex]((\frac{2^4 \times 3^6}{12^2})^0)^3\\= 1^3\\ =1[/tex]

Question d:

[tex]\frac{13^3 \times 7^0}{((65 \times 49)^2)^1}\\\frac{13^3}{(65 \times 49)^2}\\\frac{13^3}{(13 \times 5 \times 49)^2}\\\frac{13^3}{13^2 \times 5^2 \times 7^4}\\\frac{13}{5^2 \times 7^4}[/tex]

Luiza starts collecting rare coins. In the first month of her collection, she has 25 coins. Each month since then, she has added 2 coins to her collection. How many coins will she have after 2 years?

Answers

Answer: 71 coins

Step-by-step explanation:

First and foremost, we should note that:

12 months = 1 year

2 years = 12 × 2 = 24 months

Since she has 25 coins in her first month and adds 2 coins to her monthly collections, this means that she has 23 more months. This can be expressed as:

= 25 + 2x

where, x = number of months

= 25 + 2(23)

= 25 + 46

= 71 coins

She will have 71 coins after 2 years.

From a point 300 feet above ground in a firetower, a ranger spots two fires in the George Washington National forest. The angle of depression made by the line of sight from the ranger to the first fire is 3oand the angle of depression made by the line of sight from the ranger tothe second fire is 2o. The angle formed by the two lines of sight is 0117. Find the approximate distance between the two fires.

Answers

Answer:

The answer is "[tex]\bold{17456.6 \ ft}[/tex]"

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\sin \theta = \frac{P}{h}\\\\\to BC =x\\\\\to BD =y\\\\[/tex]

The height of tower (AB) = 300 ft

Distance = CD

[tex]\Delta ABC \\\\\sin \theta = \frac{AB}{AC}\\\\\sin (2.5) = \frac{300}{AC}\\\\Ac= \frac{300}{\sin (2.5)}\\\\AC= 6877.68 \\\\\Delta ABD \\\\\sin \theta = \frac{AB}{AD}\\\\\sin (1.3) = \frac{300}{AD}\\\\AD= \frac{300}{\sin (1.3)}\\\\AC= 1322.33[/tex]

calculating CD :

[tex]CD^2 = AC^2 +AD^2 -2\cdot AC \cdot AD \cdot \cos(117^{\circ}) \\\\CD = \sqrt{(6877.68)^2 +(13223.23)^2 -2\cdot (6877.68) \cdot (13223.23) \cdot \cos(117^{\circ})}\\\\CD =\sqrt{47302482.1824 + 174853811.6329 - 82576463.207}\\\\CD= \sqrt{304732757.02}\\\\CD= 17456.6 \ ft[/tex]

The centre of this circle is marked with a cross (*).
Label the lines drawn using the correct circle vocabulary

Answers

Answer:

one is radius and the other is chord

Step-by-step explanation:

PLEASE HELP ASAP!!!
Find the values of the variables and round to the nearest hundredth if necessary.

Answers

Answer:

x = 1.73

y = 2.45

z = 1.41

Step-by-step explanation:

1/z = z/2

z^2 = 2

z = sqrt(2)

1^2 + z^2 = x^2

1 + 2 = x^2

x^2 = 3

x = sqrt(3)

z^2 + 2^2 = y^2

2 + 4 = y^2

y^2 = 6

y = sqrt(6)

x = 1.73

y = 2.45

z = 1.41

14.8 - 4b - (17.1-3b)

Answers

Answer:

-3.3

Step-by-step explanation:

What is the slope of -8,0 and -3, 15 please explain to me

Answers

Answer:

m=3

Step-by-step explanation:

rise/run or y/x

using the y coords/x coords

15-0/-3-(-8)

=15/-3+8

=15/5

=3

Hi, i need help Pleases.​

Answers

Answer:

Here the answer to your question

Step-by-step explanation:

Did you know you could rate your own questions?
whyyyyy like whattt

Answers

lol that's cool because i didn't know either

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