Each big square below represents one whole. what percent is represented by the shaded area?

Answer:

a) s[n] = 1.05s[n-1] +1000; s[0] = 50,000

 b) $83,421.88

 c) s[n] = 70000·1.05^n -20000

Step-by-step explanation:

a) Let s[n] represents the employee's salary in dollars n years after 2017. The salary in 2017 is given as $50,000, so ...

 s[0] = 50000 . . . . the recursion relation initial condition

The next year, the salary is multiplied by 1.05 and 1000 is added:

 s[1] = 1.05·s[0] +1000

This pattern repeats, so the recursion relation is ...

 s[n] = 1.05·s[n-1] +1000

__

c) It is convenient to find a formula for the salary before trying to compute the salary 8 years on. So, we work part (c) before part (b).

The base salary gets multiplied by 1.05 each year, so can be described by the exponential function ...

 base salary after n years = 50,000·1.05^n

The add-on to the raise becomes a geometric sequence whose common ratio is 1.05. The sum can be described by the formula for the sum of such a sequence:

 sum = a1(r^n -1)/(r -1) . . . . . (see note below)

 sum of add-ons = 1000(1.05^n -1)/(1.05 -1) = 20000(1.05^n -1)

So, the total salary after n years is ...

 s[n] = 50000·1.05^n + 20000(1.05^n -1)

The exponential terms can be combined, so we have the explicit formula ...

 s[n] = 70000·1.05^n -20000

__

b) The year 2025 is 8 years after 2017, so we want to find s[8].

 s[8] = 70000·1.05^8 -20000 = 70000·1.4774554 -20000

    = 103,421.88 -20000 = 83,421.88

In 2025, the employee's salary will be $83,421.88.

_____

Note on the sum of the add-ons

A geometric sequence starts with term a1 and gets multiplied by a ratio r to make the next term: a2=r·a1; a3=r²·a1, ....

The sum of such a geometric sequence has the formula

 Sn = a1·(r^n -1)/(r -1)

Here, the sequence starts in year 1 with a1=1000 and has a common ratio r=1.05. The denominator of the sum is r-1 = 0.05 = 1/20, so the sum can be written as

 Sn = 20000·(1.05^n -1).

Answer:

5:2

or

5 to 2

or

5/2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the graphic does not indicate any limitation in any form in any direction.

compared to a default y = x function this function is just shifted a bit. but that does not block x or y from "running" all the way from -infinity to +infinity.

The rectangular equation for the curve is [tex]y = \frac{x^{2}}{2} -1[/tex].

In this question, we have a set of parametric equation which must be reduced into a single rectangular equation both by algebraic and trigonometric means, that is to say:

[tex]x = f(\theta), y = g(\theta) \to y = h(x)[/tex]

If we know that [tex]x = 2\cdot \cos \theta[/tex] and [tex]y = \cos 2\theta[/tex], then the rectangular equation is:

[tex]y = \cos 2\theta[/tex]

[tex]y = \cos^{2}\theta - \sin^{2}\theta[/tex]

[tex]y = 2\cdot \cos^{2}\theta -1[/tex]

[tex]\cos \theta = \frac{x}{2}[/tex]

[tex]y = 2\cdot \left(\frac{x}{2} \right)^{2}-1[/tex]

[tex]y = \frac{x^{2}}{2} -1[/tex]

The rectangular equation for the curve is [tex]y = \frac{x^{2}}{2} -1[/tex].

We kindly invite to check this question on parametric equations: https://brainly.com/question/23070611

Answer:

Alonso can use 2.1 gigabytes while staying within his budget.

Step-by-step explanation:

53.50 + 3x = 59.80

3x = 59.80 - 53.50

3x = 6.3

x = 6.3 ÷ 3

x = 2.1

Alonso can use 2.1 gigabytes while staying within his budget.

Answer:

There are 6 tennis balls in 2 cans.

Answer: c and e

Step-by-step explanation:

because im smart like that

Answer:

The final amount they will pay is $74.49

Step-by-step explanation:

59.36(Check)*0.19(19% tip rate)=11.27

59.36+11.27=70.62 Check+Tip

70.62(Check total)*0.055(5.5% tax)=3.87

70.62+3.87=74.49 Total check, tip & tax

Answer:

1. 2(4x + 8)

2. 8(x +2)

3. 4(2x +4)

Step-by-step explanation:

You can check by using the distributive property!

For instance:

2 (4x +8)

 2 · 4x = 8x

 2 · 8 = 16

= 8x + 16

8(x +2)

 8 · x = 8x

 8 · 2 =16

= 8x + 16

4(2x +4)

  4 · 2x = 8x

   4 · 4 =16

= 8x + 16

Hope this is helpful! Let me know if you have any more questions :D

Answer:

3 sets

Step-by-step explanation:

6+3 = 9 inches of wire

28/9 = 3 1/9

so 9 can go into 28 three times

so tammy can make three sets of neclaces and bracelets

Answer:

UWUWUWUUWUWUWUWUUWUWUW

Step-by-step explanation:

UwU OwO

Answer:

250000

Step-by-step explanation:

20% of x is 50000

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

50000=20x/100

50000= x/5

5(50000) = x

250000 = x

The expected value of this policy to the insurance company is $285.00.

Using this formula

Policy expected value=Insurance policy charges-[(Probability × Claim)+(Probability × Claim)]

Let plug in the formula

Policy expected value=$1,300-{(.0041)($150,000)+(.08)($5,000)]

Policy expected value=$1,300-($615+$$400)

Policy expected value=$1,300-$1,015

Policy expected value=$285.00

Inconclusion the expected value of this policy to the insurance company is $285.00

Learn more here:

https://brainly.com/question/19819099

Answer:

a) 2.4 b) 2, -3

Step-by-step explanation:

sorry I only know a and b since yea

Answer:

23/90

Step-by-step explanation:Sorry if it's wrong!!!

Answer:

Step-by-step explanation:

The two angles can be 48.75 which if you add all those together would be 180 degrees

Sorry if it might be wrong but if its right can you mark me branliest

Answer:

Step-by-step explanation:

The tree indicated angles form a straight angle:

The angle 2x:

The angle 3x:

The number of trees that died is an illustration of proportions.

The lowest value of X that is consistent with the belief that the tree died due to mishandling is 1.5

From the question, we have: 1 out of 10 died

This means that, the mean number of trees that died are:

[tex]\mathbf{\bar x =\frac{1}{10}}[/tex]

In 15 trees, the number (n) of trees expected to die is:

[tex]\mathbf{n = \bar x \times 15}[/tex]

So, we have:

[tex]\mathbf{n = \frac{1}{10} \times 15}[/tex]

[tex]\mathbf{n = 1.5}[/tex]

Hence, the lowest value of X is 1.5

Read more about mean and proportions at:

https://brainly.com/question/1139885

Answer:

Step-by-step explanation:

With the given zero's, the polynomial is:

Open parenthesis in steps:

1. (x - 2√2)(x - √5) = x² - (2√2 + √5)x + 2√10 = x² - 2x√2 - x√5 + 2√10

2. (x² - 2x√2 - x√5 + 2√10)(x + 3) =

x³ - 2√2x² - √5x² + 2√10x + 3x² - 6√2x - 3√5x + 6√10 =

x³ + 3x² - 2x²√2 - x²√5 - 6x√2 - 3x√5 + 2x√10 + 6√10

This is not matching any options so we add two more zero's: -2√2 and -√5

New polynomial looks like:

Open parenthesis in steps:

8x+12y=120

8 packs -> x value

12 packs -> y value

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

total amt. of beverages is 120

Answer: I'm not sure how to interpret "If 4 (A) between 5/8 and 4/5." If the sentence was supposed to read:

"Is 4:

(A) between 5/8 and 4/5

(B) between 1 and 2

(C) between 0 and 2

(D) between 1/2 and 1

(E) cannot be determined

Step-by-step explanation: If this is the correctly rewritten question, then the answer is NO to all the options. If I have misinterpreted the question, please clarify.

Answer:

21

Step-by-step explanation:

Answer:

(-∞,∞)

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

[tex] \sqrt[3]{x} [/tex]

has the domain all of the real numbers

Answer:

Napakadali lang sagutin nyan pre basic mangiba naman dapat Ang sagot ay SAS hopefully all

Answer:

17 units

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Step-by-step explanation:

It's 27/35, so 27/1 * 1/35

Answer:

0.31  (correct me if I'm wrong)

Step-by-step explanation:

Answer:

h= 17.67 cm

Step-by-step explanation:

We have,

h=x

b=16 cm

p=7.5cm

Using Pythagoras Theorem,

h^2=p^2+b^2

h=√(7.5^2+16^2)

h=√(56.25+256)

h=√312.25

h=17.6705970471 cm

Answer:

11,765

Step-by-step explanation: 1 word make up 0,024 minute so 500 words 500.0,024 = 11,765 minutes

Answer:

(2/12 & 9/12)

Step-by-step explanation:

12 is the least common denominator for the fractions, so they must be rewritten to have the same denominator, but hold the same value.

( not written by me )