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MArishka [77]
3 years ago
10

Sandra saves 8% of her salary for retirement. This year her salary was $2,000 more than in the previous

Mathematics
1 answer:
Tanya [424]3 years ago
4 0

Answer:

\$40000

Step-by-step explanation:

Let's start by finding Sandra's salary this year.

We are given that she saved $3,360 or 8% of her total salary this year.

Let's represent her total salary this year as "x" and set up an equation:

\$3360=8\%x\\

Note that any percentage is equivalent to that number over 100.

$3360=\frac{8}{100}x

Multiply 100 to both sides:

336000=8x

Divide both sides by 8

x=42000

The question states "this year her salary was $2000 more than in the previous year".

This means that her salary in the previous year is equivalent to:

42000-2000=40000

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3 years ago
Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same poi
skelet666 [1.2K]

Answer:

Alan: 200 m/min

Brian: 150 m/min

Step-by-step explanation:    

Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.

To find : What are their rates, in meters per minute?

Solution :

Let n represent the number of laps that Alan completes in 9 minutes.

Then n-1 is the number of laps Brian completes.

45 seconds = 3/4 minutes.

The difference in their lap times in minutes per lap is

\frac{9}{(n -1)}-\frac{9}{n} =\frac{3}{4}

Solving the equation we get,

\frac{9n-9n+9}{n(n -1)} =\frac{3}{4}

9\times 4=3\times n(n -1)

36=3\times n(n -1)

n^2-n-12=0

n^2-4n+3n-12=0

n(n-4)+3(n-4)=0

(n-4)(n+3)=0

n=4,-3

Neglecting n=-3

So, n=4

Then Alan's speed in m/min is

S=\frac{D}{T}

S_a=\frac{4\times 450}{9}

S_a=200 m/min

Brian completes 3 laps in that 9-minute time, so his rate is

S_b=\frac{3\times 450}{9}

S_b=150 m/min

Therefore, Alan: 200 m/min

Brian: 150 m/min

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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