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attashe74 [19]
4 years ago
6

In a proportional relationship why must the graph of the line always go through the origin (0,0)? explain?

Mathematics
1 answer:
lbvjy [14]4 years ago
7 0

Answer:

We know that, two quantities are proportional when they vary directly with each other.

i.e. quantities x and y are proportional when they have the relation y = kx, where k is any constant called constant of proportionality.

Since, the quantities are in relation y = kx.

So, for x = 0 we get that the value of y = 0.

As, the point ( 0,0 ) satisfies this relation i.e. it is a solution of y =  kx.

Hence, in proportional relationship, the graph will pass through ( 0,0 ).

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A man invests his savings in two accounts ,one paying6% and the other paying 10% simple interest per year. He puts twice as much
AnnyKZ [126]

Answer: he invested $46062.5 at 6% and $23031.25 at 10%

Step-by-step explanation:

Let x represent the amount which he invested in the account paying 6% interest.

Let y represent the amount which he invested in the account paying 10% interest.

He puts twice as much in the lower-yielding account because it is less risky.. This means that

x = 2y

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account paying 6% interest,

P = $x

T = 1 year

R = 6℅

I = (x × 6 × 1)/100 = 0.06x

Considering the account paying 10% interest,

P = $y

T = 1 year

R = 10℅

I = (y × 10 × 1)/100 = 0.1y

His annual interest is $7370dollars. it means that

0.06x + 0.2y = 7370 - - - - - - - - - -1

Substituting x = 2y into equation 1, it becomes

0.06 × 2y + 0.2y = 7370

0.12y + 0.2y = 7370

0.32y = 7370

y = 7370/0.32

y = $23031.25

x = 2 × 23031.25

x = 46062.5

6 0
3 years ago
Stretch thinking Rewrite this sentence using the word fewer. Carey reads 10more pages than Lucey.
anzhelika [568]

Answer:

Lucey reads 10 pages fewer than Carey.

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3 years ago
Olive rolls a 5 on one number cube and then Lolly rolls a 1 on another number cube. Is this a set of independent or dependent ev
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Reason:

Each cube doesn't affect the other one, which means that the probabilities are not altered. This is assuming that the cubes don't bump into each other when rolling on the table. So either there's enough space on the table, or they take turns one at a time.

6 0
2 years ago
Ariel deposited 100$ into a bank account. Each Friday she will withdraw 10% of the money in the account to spend. Ariel thinks h
Scilla [17]
<span>Ariel deposited 100$ into a bank account. Each Friday she will withdraw 10% of the money in the account to spend. Ariel thinks her account will be empty after 10 withdrawals. Do you agree? Explain
OK, my initial answer is YES. I agree.
Why? Let me show you the solutions
=> 100 dollars = the money of Ariel in the bank
=> 10% = he withdraw every Friday
10% of 100 is:
=> 100 / 10 = 10 dollars
Thus,  after his 10th withdrawal, his account will be empty.</span>



8 0
3 years ago
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