Becky invests some money that she anticipates will average an annual return of 7%. About how many years will it take Becky’s money to double at this rate? Show your work using function notation.

We make use of the identity,

a² - b² = (a - b) (a + b)

with a = 5 and b = 7i. Multiply the numerator and denominator by the complex conjugate of 5 + 7i, or 5 - 7i :

(-8 + 3i)/(5 + 7i) = (-8 + 3i)/(5 + 7i) • (5 - 7i)/(5 - 7i)

(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / (5² - (7i)²)

(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / (25 - (-49))

(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / 74

Expand the numerator on the right side:

(-8 + 3i)/(5 + 7i) = ((-8)•5 + 3i•5 + (-8)•(-7i) + 3i•(-7i)) / 74

(-8 + 3i)/(5 + 7i) = (-40 + 15i + 56i - 21i²) / 74

(-8 + 3i)/(5 + 7i) = (-40 + 71i - 21(-1)) / 74

(-8 + 3i)/(5 + 7i) = (-19 + 71i) / 74

Answer:

x = 4

y = 12°

Step-by-step explanation:

Since each angles are equal ,

So each angle is 60°.

=> 5y = 60°

=> y = 60/5°

=> y = 12°

Again all sides will be equal ,

=> 5x - 6 = 3x + 2

=> 5x - 3x = 6+2

=> 2x = 8

=> x = 4

Answer:

1 cm

Step-by-step explanation:

There are 5 ways you could choose the group in tennis.

It is the basic arithmetic operation, in which you are separating the number into some parts.

Given:

The total no of students is 16,

As there can be only a maximum of 10 students in a group,

If the student in Swimming is 10 then in Tennis it will be 6,

If the student in Swimming is 9 then in Tennis it will be 7,

If the student in Swimming is 8 then in Tennis it will be 8,

If the student in Swimming is 7 then in Tennis it  will be 9,

If the student in Swimming is 6 then in Tennis it will be 10,

Therefore, there are 5 ways you could choose the group in tennis.

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Answer:

a= 11/30

Step-by-step explanation:

Divide the 5 1/2 miles by the 15 minutes

5.5/15= .36

.36 = 11/30    

Answer: 1/2

Step-by-step explanation:

No matter which midsegment you created, it will be one-half the length of the triangle's base (the side you did not use), and the midsegment and base will be parallel lines!

Answer: x=4

Step-by-step explanation:

Answer:

c. CBA = PQR

Step-by-step explanation:

106 bags needed to pack all the brownies.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Jack and Dwayne made 318 Brownies.

Each small bag contain 3 Brownies.

So, the number of bags required

= 318 / 3

= 106 bags

Hence, 106 bags needed.

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Answer:

125

Step-by-step explanation:

6.25 x 20 = 125

Answer:

36 boards

Step-by-step explanation:

The boards are as long as the room, so I only had to worry about the width. If the boards were 1/2 ft wide, I would need 2 boards for every foot of width. For 16 ft, I would need 32 boards.

Instead of dividing, I wrote the equivalent multiplication by multiplying by the reciprocal of 11/24 (the reciprocal of 11/24 is 24/11)

I simplified by dividing both 2 and 24 by 2, and both 11 and 33 by 11.

Therefore he needs 36 boards

Answer:

A

Step-by-step explanation:

Answer:

I am also indian i know this solution if you want to know commet here

Answer:

51

Step-by-step explanation:

357 ÷ 7 = 51 just divide

Answer:

51

Step-by-step explanation:

if we divide 357 by 7, we should have 51. meaning 357 chair divided in 7 rows, is 51 chairs per row.

Answer:

- 166

Step-by-step explanation:

First step is to evaluate 7*3

7*3 ( with p = 7 and q = 3 )

= - 5(3) + 7²

= - 15 + 49

= 34

Now evaluate

2*34 ( with p = 2 and q = 34 )

= - 5(34) + 2²

= - 170 + 4

= - 166

Answer:The first option is correct

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

3rd option because m is bigger than or equal -2 which means that it is going to be from [-2,infinity[

Answer: x = 55/2

Step-by-step explanation: (x)(2) (-3)(2) = 49                                                       2x-6+6 = 49+6                                                                                                               2x/2 = 55/2                                                                                                                   x = 55/2

I know that my answer isn't a choice for one of the values of x but that's the result that I got when I solved (x–3)2 = 49.

Answer:

g(-4) = 24 + 3 = 27

Step-by-step explanation:

We find the value of g(-4) by substituting -4 for x in g(x)= −6x + 3:

g(-4) = -6(-4) + 3, or

g(-4) = 24 + 3 = 27

Answer:

27

Step-by-step explanation:

substitute -4 for x

-6(-4) + 3

24 + 3

27

hope it helps :)

mark brainliest!!

Answer:

y+4=-5(x-15)

Step-by-step explanation:

Use point-slope form:

y-y1=m(x-x1)

m is the slope

x1 is the x coordinate of the point that the line contains

y1 is the y coordinate of the same point

We are already given the coordinates of the point (15, -4), so we just need m, the slope.

We are given that equation of the line is perpendicular to line y=1/5x+2. Perpendicular lines have slopes that are negative reciprocals of one another. The slope of y=1/5x+2 is 1/5, so all we need to do it get the negative reciprocal of 1/5.

The negative reciprocal of 1/5 would be -5. (switch the numerator and denominator and slap on a negative)

Now we know

m is -5

x1 is 15

y1 is -4,

so plug those into point-slope form: y-y1=m(x-x1)

y-(-4)=-5(x-15)

y+4=-5(x-15) is the answer

Answer:

Step-by-step explanation:

Answer:

a=1

Step-by-step explanation:

Hi there!

We are given the proportion [tex]\frac{1}{a+3} =\frac{4}{16}[/tex], and we want to solve it for the variable, a

Before we start, we can simplify 4/16 to 1/4, since 4 is the GCF of the numerator and denominator of that fraction. Simplifying the fraction will make the computation easier, as the numbers are smaller.

Therefore, the proportion will now be:

[tex]\frac{1}{a+3} =\frac{1}{4}[/tex]

Because this is a proportion, we can cross multiply in order to solve for a; to do that, multiply a+3 by the expression that is on the top right (in this case, 1). Also multiply 4 by the expression that is on the top left (in this case, 1). Then, set them equal to each other, since it is still an equation :)

1(a+3)=4(1)

Multiply

a+3=4

Subtract 3 from both sides

a=1

Hope this helps!

Step-by-step explanation and answer:

To understand this problem, you must first understand the definition of domain and range. Domain is all possible x values (possible input), and range is all possible y values (possible output). Based on this, we can now sort the terms as the following:

Domain

Range

Hope this helps!!

Step-by-step explanation:

nope!

because the value has increased 6%*102%=6.12% in second year which we have 8.12% i total

Answer:

[tex]x=90[/tex]

Step-by-step explanation:

2x - 10 and x + 80 are parallel lines and equal each other.

[tex]2x-10=x+80\\x-10=80\\x=90[/tex]

Answer:

90

Step-by-step explanation:

i had this question too

Answer:

24

Step-by-step explanation:

Answer:

da_mn the struggle is real

Step-by-step explanation:

Answer:

it's 86

Step-by-step explanation:

100-3x6+5-4

100-15+5-4

85+5-4

90-4

86

Answer: B

Step-by-step explanation: A rate is a ratio comparing quantities of different items. A unit rate is a rate with 1 in the denominator.

Would appreciate brainly <3

Answer:

Unit rate means a ratio between two units values, where the unit in the denominator is always one.

Step-by-step explanation:

You can write which one is easy for u.

Answer:

21

Step-by-step explanation:

1, 1, 2, 3, 5, 8, 13, 21

The required eighth number in the Fibonacci sequence is 21.

Given that,
1, 1, 2, 3, 5, and 8 are the first six numbers of the Fibonacci sequence. what is the eighth number is to be determined

The sequence is defined as the specific pattern of numbers in which they are arranged.

Here,
given Fibonacci sequence is 1, 1, 2, 3, 5, 8

The Fibonacci numbers, sometimes known as Fn, are a set of numbers in mathematics where each number is the sum of the two numbers before it.
According to the above definition,
7 th number = 5th number + 6th number =
7 th number = 5 + 8 = 13
8th number = 8 + 13 = 21

Thus, the required eighth number in the Fibonacci sequence is 21.

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