All categories

3 years ago

60PTS Chef Alfredo invested $4800 at a simple interest rate of 5% and can now afford a $6,000

Mathematics

1 answer:

garik1379 [7]3 years ago

7 0

Answer:

An oft-repeated water vapor myth is that warm air can “hold” more water vapor than cool air because as the air warms its molecules move farther apart, making room for more molecules.

Step-by-step explanation:

You might be interested in

English economist Thomas R. Malthus predicted that there would not be any problems resulting from population growth. Please sele

Aleksandr-060686 [28]

It would be a completely false statement to say that English economist Thomas R. Malthus predicted that there would not be any problems resulting from population growth. He predicted just the opposite of what is being written in the question. The correct option among all the options that are given in the question is the second option.

4 0

3 years ago

Read 2 more answers

Find the perimeter of the given shape.

vodomira [7]

Answer:

Step-by-step explanation:

6 0

3 years ago

The sales tax on a one-half-carat diamond ring is $76. Find the purchase price of the ring (before tax) of the sales tax rate is

NISA [10]

So.. hmmm if we take "x" to be the 100% sale price before tax, $76 is really 9.5% of that

thus $\bf \begin{array}{ccllll}
amount&\%\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
76&9.5\\
x&100
\end{array}\implies \cfrac{76}{x}=\cfrac{9.5}{100}$

solve for "x"

8 0

3 years ago

The team won 5 out of 8 games if the team played 32 games how many did they win

Rus_ich [418]

Answer:

Step-by-step explanation:

32/8 = 4

4 x 5 = 20

7 0

3 years ago

The factors of x cube -10x square -53x-42

Verdich [7]

Answer:

$x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)$

Step-by-step explanation:

$x^3 - 10x^2 -53x - 42$

The factors of 42 : ±1 , ±2 , ±3 , ±6, ±7, ±14, ±21 , ±42

Using trial and error method we will find the first root of the polynomial.

1 : ( 1 )³ - 10 ( 1 )² - 53 ( 1 ) - 42

1 - 10 - 53 - 42 ≠ 0

Therefore 1 is not a root

-1 : ( -1 )³ - 10 (- 1 )² - 53 (- 1 ) - 42

- 1 - 10 + 53 - 42

53 - 53 = 0

Therefore - 1 is a root of the polynomial.

Therefore ( x + 1) is a factor.

Now by long division or by using synthetic division we can find other factors.

Synthetic Division :

-1 | 1 -10 -53 - 42

| 0 - 1 11 42

|______________________

1 - 11 - 42 0

Therefore ,

$x^3 - 10 x^2 -53x -42 = ( x + 1)(x^2 - 11x +42)$ ------ ( 1 )

Next further factorize x² - 11x - 42

x² - 11x - 42

= x² - 14x + 3x - 42

=x(x - 14) + 3 (x - 14)

=(x + 3 )(x - 14)

Therefore ,

$x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)$

4 0

3 years ago