Is this in quadratic form x^4-6x^2-27=0

Suppose you begin a job with an annual salary of $32,900. Each year you are assured of a 5.5% raise. What its the total amount t

murzikaleks [220]

Answer: The correct option is C

Step-by-step explanation:

You begin a job with an annual salary of $32,900

Each year you are assured of a 5.5%. If you get the same amount each year, that is a 100% payment. It is neither reducing nor increasing. But with an increase of 5.5% each year, it means you are getting (100+5.5)% each year. This equals 105.5%. So for each year, you get 105.5% of the previous year.

This is a geometric progression. To determine the total amount that you can earn in 15 years, we will find the sum of 15 terms, S15 of the series. The formula for sum of the nth term of a geometric progression is expressed as

Sn = [a(r^n - 1)] / r - 1

Where

Sn = sum of the nth terms of the series

a = the first term(salary of the first year

r = common ratio

n = number of years.

From the question,

a = 32900

n = 15

r = 105.5/100 = 1.055

S15 = [32900(1.055^15 - 1)] / 1.055 - 1

S15 = [32900(2.23247649224 - 1)] / 0.055

S15 = [32900 × 1.23247649224] / 0.055

S15 = $737245

7 0

3 years ago

Two boats are traveling toward a cliff that is 225 feet above sea level. When the two boats are exactly 200 feet apart, the boat

timofeeve [1]

Answer:

$x=23.82^o$

Step-by-step explanation:

$Solve ~for~x, first ~ we~ need ~ to ~know~y$

$tan~36=\frac{225}{y}$

$y=\frac{225}{tan ~36}$

$y=309.6859321$

$tan(x)=\frac{225}{y+200}$

$x=tan^{-1}(\frac{225}{309.6858321}$

$x=23.81898048$

$x=23.82^o$

<u>------------------------</u>

hope it helps...

have a great day!!

7 0

3 years ago

What term refers to the total amount of a good or service that people are willing to purchase?

atroni [7]

Step-by-step explanation:

Demand for Goods and Services. Economists use the term demand to refer to the amount of some good or service consumers are willing and able to purchase at each price. The total number of units purchased at that price is called the quantity demanded.

6 0

3 years ago

A certain line has a slope of 3/2. Select all pairs of points that may be on the line.

Marta_Voda [28]

C is the correct answer

4 0

3 years ago

You flip the same coin 900 mores times (1000 total flips). If half of the 900 additional flips are heads and half are tails, wha

aev [14]

Answer:

CAn i have help and i will help you

Step-by-step explanation:

What does negative 2 over 3 > −1 indicate about the positions of negative 2 over 3 and −1 on the number line?

negative 2 over 3 is located to the right of −1

negative 2 over 3 is located on the left of −1

negative 2 over 3 is located on the right of 0, and −1 is located on the left of 0

negative 2 over 3 is located on the left of 0, and −1 is located on the right of 0

Question 2(Multiple Choice Worth 4 points)

(03.05)

Which set of rational numbers is arranged from least to greatest?

1 over 5, −1.4, negative 1 over 2, 3

3, negative 1 over 2, −1.4, 1 over 5

3, 1 over 5, −1.4, negative 1 over 2

−1.4, negative 1 over 2, 1 over 5, 3

Question 3(Multiple Choice Worth 4 points)

(03.05)

Based on the graph, which inequality is correct for a number that is to the right of -4?

A number line is shown from negative 8 to 8 at increments of 1. A circle is shown at negative 4. The entire portion of the number line to the right of negative 4 is shaded.

2 < −4

−4 > −3

1 < −4

2 > −4

Question 4(Multiple Choice Worth 4 points)

(03.05)

A girl's feet are negative 2 over 4 yards from the surface of a pool. A boy's feet are negative 3 over 4 yards from the surface of the pool. Determine whose feet are closer to the surface.

The girl's feet are closer to the surface of the pool because negative 2 over 4 > negative 3 over 4.

The boy's feet are closer to the surface of the pool because negative 2 over 4 > negative 3 over 4.

The girl's feet are closer to the surface of the pool because negative 2 over 4 < negative 3 over 4.

The boy's feet are closer to the surface of the pool because negative 2 over 4 < negative 3 over 4.

Question 5(Multiple Choice Worth 4 points)

(03.05)

Which inequality best represents that ice cream at −2°C is cooler than ice cream at 4°C?

−2°C < 4°C

−2°C > 4°C

−4°C > 2°C

−4°C < −2°C

5 0

3 years ago