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3 years ago

2 3 us DO ON 7 45 US S

Mathematics

1 answer:

Virty [35]3 years ago

6 0

Answer:

9.8 sq. in.

Step-by-step explanation:

A = πr²

Diameter: 10 inches

Radius: 5 inches

A = π · 5²

A = π · 25

A = 78.54

Section 4 is about one eighth of the circle.

78.54 ÷ 8

9.8175

9.8175 ≈ 9.8

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Adrian just got hired for a new job and will make $66,000 in his first year. Adrian was told that he can expect to get raises of

Ann [662]

Answer:

Adrian would make $196000 in his 26th year working.

Step-by-step explanation:

Adrian salary in first year = $66,000

As Adrian is expected to get raises of $5,000 every year going forward.

Here is the sequence of Adrian's raises:

5,000, 10000, 15000, 20000, 25000 .....

As the common difference between consecutive terms is constant.

d = 10000 - 5,000 = 5,000 ⇒ d = 15000 - 10000 = 5,000

So, Adrian's raises is in Arithmetic sequence.

a₁ = 5,000

n = 26

$\ a_{n}=a_{1}+(n-1)d$

Put n = 26 to get the total amount of salary raises in Adrian's 26th year.

$\ a_{26}=5000+(26-1)5000$

$\ a_{26}=5000+(25)5000$

$\ a_{26}=5000+125000$

$\ a_{26}=130000$

Total raises amount after 26th year = $130000

Adding total raises after 26th year to the initial salary would let us figure out the total salary Adrian would make in his 26th year.

So,

Total Salary after 26th year = initial salary + total raises of 26 years

= 66000 + 130000

= $196000

So, Adrian would make $196000 in his 26th year working.

Keywords: arithmetic sequence, salary, raises, common difference

Learn more about word problems regarding salary from brainly.com/question/4114612

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6 0

3 years ago

Juan's grandmother left him 40 shares of Stock A and 150 shares of Stock B. How

Cerrena [4.2K]

Answer:

$13,087.50

Step-by-step explanation:

The sale of the 40 shares of stock A at $225 per share will get Juan ...

40 · $225 = $9000

The sale of the 150 shares of stock B at $27.25 per share will get Juan ...

150 · $27.25 = $4087.50

So, the total Juan will receive from the sale of the stocks will be ...

$9000.00 +4087.50 = $13,087.50

5 0

3 years ago

What happens to the energy that is stored in cells? Check all that apply.

Stells [14]

A, D & E

Cells store energy in the form ATPs. These molecules power al the biochemical activities that would not occur spontaneously. Examples of these bioactivities are the contraction of actin filaments, glycolysis cycle, replication of DNA, cell division, gene expression, cell repair and etcetera.

Step-by-step explanation:

All ATPs are not spent at the same time, and futhermore, they are constantly replaced by the continuous process of cellular respiration that captures the chemical energy in the glucose molecules and stores them in ATP. During the release of this energy to power the biochemical reactions, much of it is lost as heat energy and this is why living organisms are always warm.

Learn More:

For more on ATP energy check out;

brainly.com/question/2166757

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8 0

4 years ago

Read 2 more answers

How much larger is 6 times 10 to the 5th power compared to 2 times 10 to the 3rd power

lora16 [44]

Answer:

Either 10 times or 598,000.

Step-by-step explanation:

6 x 10 ^ 5 = 600,000

2 x 10 ^ 3 = 2,000

If we are figuring out the exact number, 600,000 - 2,000. If we are finding out how many powers larger, count.

600,000 - 2,000 = 598,000

600,000 is 10 times larger than 2,000.

See?

600,000

2,000

6 0

3 years ago

PLEASE HELP ASAP I WILL GIVE BRAINSLET TO THE CORRECT ANSWER!!!!!!!!!!

cestrela7 [59]

Answer:

Therefore has one solution.

explanation:

Given equations:

6x + y = -7

-24x -7y = 25

Make y the subject:

6x + y = -7

y = -7 - 6x ..............equation 1

-24x -7y = 25

-7y = 25 + 24x

y = (25 + 24x)/-7 ..........equation 2

Solve them simultaneously:

(25 + 24x)/-7 = -7 - 6x

25 + 24x = -7 (-7 - 6x)

25 + 24x = 49 + 42x

42x - 24x = 25- 42

18x = -24

x = $-\frac{4}{3}$

Then y is:

y = -7 - 6x

y = -7 - 6( $-\frac{4}{3}$ )

y = 1

Has one separate value of x and y: ( $-\frac{4}{3}$ , 1 ); so it has one solution.

3 0

3 years ago