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3 years ago

The largest solution of x2−x=6 is

2 answers:

5 0

If x2 is x squared then yes the quadratic equation would have multiple solutions. (2)

First subtract both sides by 6
x^2 - x - 6 = 0
Then, factor
(x + 2)(x - 3)= 0
The solutions for x would be either -2, or 3.
Final answer: the largest solution of x^2 - x= 6 is x=3

trapecia [35]3 years ago

4 0

The left side of the equation subtracts x from 2x.
That means 1x, or just simply x, is left on the left side.
We now have this: x = 6
So, x is 6. Hope this helps!

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3 years ago

the sum of 3 decimal numbers is 6. Exactly one of the numbers is less than 1 what could those numbers be.

kati45 [8]

There are infinitely many solutions to this problem (which is why it asks what could those numbers be), so you just have to make one up!

Start with the first sentence.
x + y + z = 6.0

Now one of those numbers has to be less than 1. I'll choose x. And I'll choose a random number, say, 0.7.

0.7 + y + z = 6.0

Now I'll subtract 0.7 from both sides to see what y and z have to add up to.

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Now I'll choose a random number for y that's less than 5.3.

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And subtract 2.6 from both sides to find z.

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z = <u>2.7</u>

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3 years ago

You plan to borrow $36,500 at a 7.7% annual interest rate. The terms require you to amortize the loan with 7 equal end-of-year p

erma4kov [3.2K]

The amount of interest you would be paying in Year 2 is: $2,492.62.

<h3>Interest</h3>

First step is to calculate the Equal Monthly Payment

Equal Monthly Payment=P×r×(1+r)^t/(1+r)^t-1

Where:

P=Principal=$36,500

r=Rate=7.7%

t=Time=7 years

Equal Monthly Payment=36,500×0.077×(1+0.077)^7÷(1+0.077)^7-1

Equal Monthly Payment=36,500×0.077×(1.077)^7÷(1.077)^7-1

Equal Monthly Payment=36,500×0.077×1.6807763÷1.6807763-1

Equal Monthly Payment=4,723.82/0.6807763

Equal Monthly Payment=$6,938.875

Second step is to calculate Year 1 Closing balance

Year 1 Closing balance = Beginning balance + Interest - EMI Payment

Year 1 Closing balance= $36,500 +($36,500×7.7%) - $6,938.875

Year 1 Closing balance= $36,500 + $2,810.5 -$6,938.875

Year 1 Closing balance = $32,371.625

Third step is to calculate year 2 interest

Year 2 Interest= $32,371.625×7.7%

Year 2 Interest=$2,492.62

Therefore the amount of interest you would be paying in Year 2 is: $2,492.62.

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