In the year 2008 Apple sold 11 million iPhones. Over the next few years, annual sales increased by an average of 55%, which we will model using a geometric sequence with r = 1.55
Use the geometric summation formula Sn = a1 (1-r^n) / 1 - r, to estimate the total number of iPhones sold in the eight years spanning 2008 and 2015. Give your answer in millions of phones, rounded to one decimal place.

___________ million phones

Answer:

-5+√2 and -5-√2

Step-by-step explanation:

With the quadratic formula:

\(\displaystyle x^2 + 10x + 25 = 2\\\\x^2+10x+23=0\\\\x=\frac{-10\pm\sqrt{10^2-4(1)(23)}}{2(1)}=\frac{-10\pm\sqrt{100-92}}{2}=\frac{-10\pm\sqrt{8}}{2}=\frac{-10\pm2\sqrt{2}}{2}=-5\pm\sqrt{2}\)

We can also complete the square (which is faster):

\(x^2+10x+25=2\\(x+5)^2=2\\x+5=\pm\sqrt{2}\\x=-5\pm\sqrt{2}\)

Answer:

$19.55

Step-by-step explanation:

$23-15%=$19.55

Answer:

4×2-6x+5

Step-by-step explanation:

(6x2 - 9x - 4) - (2x2 - 3x - 9)

We can deduct (2×2) from (6×2) first: (4×2)

Then we deduct (-3x) from (-9x): (-6x)

Then we deduct (-9) from (-4): 5

Then we add everything together: (4×2-6x+5)

Answer:

  987

Step-by-step explanation:

You want to determine a three-digit combination based on clues about which digits are right and/or correctly placed.

This tells you one of digits 1, 2, or 7 is correct and correctly placed.

Clue 2 tells you that digit is not 1. Clue 4 tells you that digit is not 2.

  7 is correctly placed as the 3rd digit

We already know that 1 is not the correct digit. This means 3 must be the first digit, or 8 must be the first or second digit.

We already know that 7 is a correct digit, properly placed as the 3rd digit. Since 1 is not a correct digit, 9 must be a correct digit, properly placed as the 1st digit.

  9 is correctly placed as the 1st digit

Combining this fact with Clue 2 means ...

  8 is correctly placed as the 2nd digit

The combination is 987.

__

Check

Clues 4 and 5 are consistent with this combination.

Answer:

x=72

Step-by-step explanation:

1.2x−2.4=84

Step 1: Add 2.4 to both sides.

1.2x−2.4+2.4=84+2.4

1.2x=86.4

Step 2: Divide both sides by 1.2.

x=72

Answer: x=72

Step-by-step explanation:

The value of is 2/11

To determine the value, we have;

Index forms are mathematical forms used to represent numbers or values that are too large or too small in more convenient forms.

From the information given, we have the expression written as;

2⁹ˣ+2 = 16⁵ˣ -2

Put all the terms in one base form, we have;

2⁹ˣ + 2¹ = 2²⁰ˣ - 2¹

equate the exponents, we have;

9x + 1 = 20x - 1

collect the like terms, we have;

9x - 20x = -2

-11x = -2

Make 'x' the subject of formula, we have;

x = 2/11

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Answer:

See below

Step-by-step explanation:

The coordinates of given points on the graph:

Use of slope formula:

11.........................................................................

a) Slope of AB:

b) Slope of CD:

c) AB and CD are parallel as slopes are same

12.........................................................................

a) Slope of EF:

b) Slope of AD:

c) EF and AD are neither parallel nor perpendicular

Answer:

1. 10d + 26

Step-by-step explanation:

Given.

8(2d+3) + 2(-3d+1)

= 16d + 24 - 6d + 2

= 10d + 26

Hope it will help :)

The cost of each movie ticket will be $ 9.

We are given that Steven bought some movie tickets for $8.25 each and a box of popcorn for $5.50. He spent a total of $38.50.

So , m represents the cost of each movie ticket,

The cost of 2 movies tickets = 2m dollars,

Also, the cost of one box of popcorn = $ 6,

The total spending for 2 movie ticket and one box of popcorn as equation

= ( 2m + 6 ) dollars

According to the question;

2m + 6 = 24,

Subtract 6 on both sides;

2m = 18

Divide both sides by 2

m = 9,

Hence, the cost of each movie ticket is; $ 9.

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The correct answer is A. a characteristic of the population.

A population parameter refers to a specific characteristic

A population parameter refers to a specific characteristic or numerical value that describes the entire population being studied. It is a fixed value that is typically unknown and estimated using sample data. Examples of population parameters include the population mean, population standard deviation, population proportion, etc.

The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.

Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.

Hence,

∠3 = 180 - 62 = 118 degrees(angles on a straight line)

∠1 ≅ ∠3 (vertically opposite angles)

∠7 ≅ ∠3 (alternate interior angles)

∠5 ≅ ∠7 (vertically opposite angles)

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Answer:

$0.64 per cup

Step-by-step explanation:

There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:

1 gallon: 16 cups

2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups

So we need to find the price of each cup:

1 cup = ($20.48 / 32 cups) = $0.64 per cup.

Answer:

Step-by-step explanation:

100

Answer:

102 feet of ribbon

Step-by-step explanation:

dividing the feet of ribbon by the wreaths lets you figure out how much ribbon is need per wreath then multiply it by the total number of wreaths need to see how much ribbon is needed.

51/17 =3

3 x 34= 102

Answer:

the answer is 78.12

Step-by-step explanation:

Answer: 78.12

Step-by-step explanation:

8.4 x 9.3 =

4 x 3 = 12, bring the ones to the tens place

8 x 3 = 24 + 1 = 25

252.

Add a 0 to the ones place.

9 x  4 = 36, add a 6 to the tens place, bring the tens to the hundreds place

9 x 8 = 72 + 3 = 75.

7560 + 252 = 7812.

Since there are two numbers behind the decimal, we put the decimal between the 8 and the 1.

8.4 x 9.3 = 78.12

Answer:

6 percent

Step-by-step explanation:

u add 6 more everyday to the chicken coop.

Answer:6%

Step-by-step explanation:

Based on the fact that the cross-country course is shaped like a parallelogram, the total length of the cross-country course is 10 miles.

The total length of the cross-country course will be the perimeter of the shape that the course is shaped like.

As this course is shaped like a parallelogram, the total length would therefore be:

= Base + Base + Length + Length

Solving gives:
= 3 + 3 + 2 + 2

= 6 miles

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Answer:

Becky is 7 years old.

Step-by-step explanation: Let b - Becky's age ; Equation - 3b = 21. Divide both size by 3 to isolate the variable.

Answer:

Becky's 7 seven years old

Step-by-step explanation:

If 21 = 3x

x = 21/3

x = 7

Hope this helps :)

Pls brainliest...

The value of x in this equation is found to be 8±4√7.

What is Pythagoras theorem?

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC2 = AB2 + AC2 in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

Here given in the question that one side of the wall 5 feet

So as it is a rectangular bedroom it can be split into 2 right-angled triangles.

So the hypotenuse of the triangle is 13 feet

Now using the Pythagoras theorem we can find out the length of the other wall

b²=h²-p²

(x-4)²+(x+6)² = (x+10)²

x²+16-8x+x²+36+12x = x²+100+20x

x²-16x-48=0

x= 8±4√7.

Hence The value of x in this equation is found to be 8±4√7.

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The best buy is (d) a 9 oz box of rice $1.25

The best buy is the product that has the least unit rate.

The unit rate is calculated as:

Unit = Price/Weight

So, we have:

Box 1:

Unit rate = $0.90/6 oz = $0.150 per oz

Box 2:

Unit rate = $1.93/12 oz = $0.161 per oz

Box 3:

Unit rate = $2.42/16 oz = $0.151 per oz

Box 4:

Unit rate = $1.25/9 oz = $0.139 per oz

The least unit price is $0.139 per oz for box 4

Hence, the best buy is (d) a 9 oz box of rice $1.25

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Answer:

See below

Step-by-step explanation:

The area of the square is given as 100 square unit

You should be aware that the square has all its sides equal

The perpendicular from opposite vertices represent distance

The given vertices are

(2,2) and (10,8)

Using the formula for distance between two points

d=√(10-2)²+(8-2)²

d=√8²+6²

d = √64+36

d=√100

This implies that d=10

The area of a square is given as s²

Area = 10²

Atrea = 100 square units

In conclusion, the area of the square is 100 square units

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Translated question:

The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square

Answer:

Step-by-step explanation:

x = 4y+18

xy = -18

x = -18/y

-18/y = 4y+18

4y² + 18y + 18 = 0

2y² + 9y + 9 = 0

y = [-9 ±√(9²-4(2)(9))]/[2(2)] = [-9 ± 3]/4 = -1.5, -3

-1.5 is an extraneous solution, so y = -3

x = 6

The equation represented by the graph will be y = eˣ. Then the correct option is A.

The missing graph is given below.

Functions are found all across mathematics and are required for the creation of complex relationships.

The graph is given below.

The exponential graph is always positive and the graph is also positive of the Real value of x.

The equation represented by the graph will be y = eˣ.

Then the correct option is A.

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The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.

Let's solve the system of linear equations correctly.

The given system of linear equations is:

x = y + 3z = 6

x - 2y = 5

2x - 2y + 5z = 9

To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:

From equation 1, we have:

x = y + 3z

Substituting this value of x in equation 2:

(y + 3z) - 2y = 5

y + 3z - 2y = 5

-z + 3z = 5 - y

2z = 5 - y

Now, let's substitute the value of x in equation 3:

2(y + 3z) - 2y + 5z = 9

2y + 6z - 2y + 5z = 9

11z = 9

Simplifying the equation, we find:

z = 9/11

Now, substituting this value of z back into the equation 2z = 5 - y, we get:

2(9/11) = 5 - y

18/11 = 5 - y

18/11 - 5 = -y

18/11 - 55/11 = -y

-37/11 = -y

y = 37/11

Finally, we can substitute the values of y and z into equation 1 to find the value of x:

x = y + 3z

x = 37/11 + 3(9/11)

x = 37/11 + 27/11

x = 64/11

Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).

The system has exactly one solution.

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Answer:

\(x=-\frac{43}{3}\)

Step-by-step explanation:

\(-4(6x+7)=-316 \\ \\ 6x+7=-79 \\ \\ 6x=-86 \\ \\ x=-\frac{43}{3}\)

Answer:

x=12

Step-by-step explanation:

hope this helps! -4(6x + 7) = -316=x=12