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3 years ago

A plane flies 1.6 hours at 150 mph on a bearing of 10°. It then turns and flies 9.1 hours at the same speed on a

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

6 0

9514 1404 393

Answer:

1386 miles

Step-by-step explanation:

The plane flies ...

(150 mi/h)(1.6 h) = 240 mi

on its first leg. Then it flies ...

(150 mi/h)(9.1 h) = 1365 mi

on the second leg. The flight directions differ by 90°, so the distance from the starting point can be found using the Pythagorean theorem.

c² = 240² +1395² = 1920825

c = √1920825 ≈ 1385.94

The plane is about 1386 miles from its starting point.

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James has a job with a current salary of $42,000. He wants to earn a college degree that will take him 2 years to complete and i

FinnZ [79.3K]

To recover the investment James will take $\boxed{2.5{\text{ years}}}.$

Further Explanation:

Given:

The current salary of James is $\$ 42000.$

The time taken to complete the college degree is $2{\text{ years}}.$

The cost of the college degree is $\$ 28000.$

The James’ new salary after college degree will be $\$ 56000.$

Calculation:

The total investment of James can be calculated as follows,

$\begin{aligned}{\text{Investment}} &= {\text{Salary of 2 years}} + {\text{2 years tuition fees}} \\&= 2 \times 42000 + 2 \times 28000\\&= 84000 + 56000\\&= \$ 140000\\\end{aligned}$

The total investment for 2 years will be $\$ 140000.$

The James’ new salary after college degree will be $\$ 56000.$

The time taken by James to recover $\$ 140000.$

$\begin{aligned}{\text{Time}} &= \frac{{140000}}{{56000}}\\&= 2.5{\text{ years}}\\\end{aligned}$

To recover the investment James will take $\boxed{2.5{\text{ years}}}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445
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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Investment and return

Keywords: James, job, current salary, salary, $42000, earn, college, college degree, 2 years, complete, graduation, cost, $28000, per year, investment, recover, new salary, work, able, school, full time.

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4 years ago

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Feliz [49]

Alang must visit 8 times to the theatre to earn a free movie ticket.

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The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Alang has a points card for a movie theatre. He receives 55 reward points just for signing up. He earns 3.5 points for each visit to the movie theatre. He needs 83 points for a free movie ticket.

Form an equation and calculate the number of tickets:-

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1 year ago

Calculate the correct answer. <br>17x - 3 = 48

Nadya [2.5K]

Answer: x = 3

Step-by-step explanation:

Simplifying

17x + -3 = 48

Reorder the terms:

-3 + 17x = 48

Solving

-3 + 17x = 48

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + 17x = 48 + 3

Combine like terms: -3 + 3 = 0

0 + 17x = 48 + 3

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Combine like terms: 48 + 3 = 51

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Divide each side by '17'.

x = 3

Simplifying

x = 3

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3 years ago