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stiks02 [169]
2 years ago
12

7. Alex makes $30,000 a year at his job

Mathematics
1 answer:
Dvinal [7]2 years ago
5 0

Answer:

It will take them 20 years to make the same salary

Step-by-step explanation:

Let us solve the question

Assume that they will have the same salary after x years

∵ Alex makes $30,000 a year at his job

∵ He gets a $2,500 a year raise every year

∵ He will work x years

→ That means his salary is the sum of a fixed amount and the raise times x

∴ His salary = 30000 + 2500(x) ⇒ (1)

∵ Sydney makes $40,000 a year

∵  He gets a $2,000 raise every year

∵ He will work x years

→ That means his salary is the sum of a fixed amount and the raise times x

∴ His salary = 40000 + 2000(x) ⇒ (2)

∵ They will make the same salary after x years

→ Equate (1) and (2)

∴ 30000 + 2500x = 40000 + 2000 x

→ Subtract 30000 from both sides

∴ 2500x = 2000x + 10000

→ Subtract 2000x from both sides

∴ 500x = 10000

→ Divide both sides by 500

∴ x = 20

∴ It will take them 20 years to make the same salary

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A pole that is 2.5 m tall casts a shadow that is 1.47 m long. At the same time, a nearby tower casts a shadow that is 36.25 m lo
Roman55 [17]

The tower is 61.65 meters tall.

<u>SOLUTION: </u>

Given that, a pole that is 2.5 m tall casts a shadow that is 1.47 m long.  

At the same time, a nearby tower casts a shadow that is 36.25 m long.  

We have to find height of the tower.  

Now, we know that,

2.5 \mathrm{m} \text { tall } \rightarrow 1.47 \text { long shadow }

Then, (let it be) n meter tall \rightarrow 36.25 long shadow

So, by cross multiplication method,

\Rightarrow \frac{2.5}{1.47}=\frac{n}{36.25}

This can be written as,

\Rightarrow 36.25 \times 2.5=1.47 \times n \rightarrow 1.47 n=90.625 \rightarrow n=61.649 \rightarrow n=61.65 \text{ m}

Cross multiplications steps: (To find Single Variable)

  1. Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction.
  2. Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.
  3. Set the two products equal to each other.
  4. Solve for the variable.
6 0
3 years ago
6. Benny earns $12.00 per hour as a lifeguard. He earns a bonus of $75.00
Vesna [10]

Answer:

75+12h ≥ 399

He must work at least 27 hours

Step-by-step explanation:

How much does benny earn

He makes 75 for the course plus 12 dollars an hour

75+ 12h

This must be at least 399

75+12h ≥ 399

Subtract 75 from each side

75-75+12h ≥ 399-75

12h ≥ 324

Divide each side by 12

12h/12 ≥ 324/12

h ≥ 27

He must work at least 27 hour

3 0
2 years ago
Read 2 more answers
John leaves school to go home.his bus drives 6 kilometers north and then goes 7 kilometers west.how far is John's house from the
otez555 [7]

Answer:

John is 9.21 km form the school.

Step-by-step explanation:

John leaves school to go home. His bus drives 6 kilometres north and then goes 7 kilometres west. It is required to find John's distance from the school. It is equal to the shortest path covered or its displacement. So,

d=\sqrt{6^2+7^2} \\\\d=9.21\ km

So, John is 9.21 km form the school.

5 0
3 years ago
The gas tank of a 2013 Honda Accord holds 17.2 gallons. How many pounds of carbon dioxide are produced by
Murrr4er [49]
First you need to know how many pounds of carbon dioxide you get when burning 1 gallon of gasoline. That number is 19.64 pounds

To get the number of pounds released when entire tank is burned you need to multiply gas tank volume and number of pounds you get when 1 gallon is burned.

17.2 * 19.64 = 337.808
5 0
3 years ago
If Rihanna deposite 1500 rupees in the school fund at 9 p.C.P.A for 2 years, what is the total amount she will get?
S_A_V [24]

Answer: 1770 rupees

Step-by-step explanation:

To solve this, we first calculate the simple interest which will be:

= (P × R × T) / 100

= (1500 × 9% × 2) / 100

= (1500 × 0.09 × 2) / 100

= 270

The total amount tha she'll get will be:

= 1500 + 270

= 1770 rupees

3 0
2 years ago
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