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3 years ago

Please help quickly as possible please

Mathematics

1 answer:

zheka24 [161]3 years ago

7 0

First we need to establish the fact that angles on a straight line ALWYS add up to 180
So, we solve the equation for x which turns out to be 3
But,were not done. The question asks us to find the value of the angle BOC
so we substitute the value of x into the equation for BOC (which is 6x+29)
And then your answer is 47 degrees

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Ken invests 6,000 into two accounts one account earns 8% interest and the other earns 12% interest after one year his total inte

Len [333]

Answer: ken invested $3500 in the 8% account.

Step-by-step explanation:

Let x represent the amount invested in the account earning 8% interest.

Let y represent the amount invested in the account earning 12% interest.

Ken invests 6,000 into two accounts one account earns 8% interest and the other earns 12% interest. This means that

x + y = 6000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 8%

I = (x × 8 × 1)/100 = 0.08x

Considering the account earning 12%

I = (y × 12 × 1)/100 = 0.12y

After one year, his total interest earned from the two accounts totaled $580 . This means that

0.08x + 0.12y = 580 - - - - - - - - - - 1

Substituting x = 6000 - y into equation 1, it becomes

0.08(6000 - y) + 0.12y = 580

480 - 0.08y + 0.12y = 580

- 0.08y + 0.12y = 580 - 480

0.04y = 100

y = 100/0.04

y = 2500

x = 6000 - y = 6000 - 2500

x = 3500

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3 years ago

What is 7x+5=5x+17

seropon [69]

Answer:

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Step-by-step explanation:

When you have 7x+5=5x+17, you try to get the variables on one side and the constants on the other. Subtract 5x from the right and from the left: 2x+5=17. Next, subtract 5 from the left and from the right: 2x=12. The last step is to get rid of the coefficient of x and to do that divide it by the coefficient(in this case divide both sides by 2). After dividing 2x and 12 by 2 you get x=6.

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Answer:

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Step-by-step explanation:

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