Answer:
If the interest is yearly $2702.87 will be owed
Step-by-step explanation:
first you would need to find out how much 11.3% of $1205 is which is $136.17. And since the interest is yearly you would multiply the $136.17 by the 11 years which would be $1497.87. Then you would add the amount that they borrowed to the interest that they would owe after 11 years which would be $1497.87 + $1205 = $2702.87. So after 11 years the total amount that must be repaid is $2702.87
1) A graph is linear when the line on a graph is a straight line with no curves.
2) A proportional graph means that as x increases, y increases and when x decreases, y decreases and their ratio always stays the same.
3) (I don't know what type of equation you mean but this is my guess)
Division is the last step of an equation.
Answer: 2.75N = 80
Step-by-step explanation:
Let the the number of times that Ben can ride the train each month be represented by N.
Since Ben rides the train to work he spends $2.75 per ride and his monthly budget for riding the train is $80, this will be represented in an equation as:
2.75N = 80
N = 80/2.75
N = 29 times
Let <em>x</em> be the smallest of the three integers. Then the next two are <em>x</em> + 2 and <em>x</em> + 4.
• "The ratio of the smallest number to 1 less than twice the smallest number..."
This translates to
<em>x</em> / (2<em>x</em> - 1)
• "... the ratio of 3 more than the middle number to twice the largest number."
This translates to
((<em>x</em> + 2) + 3) / (2 (<em>x</em> + 4))
or, simplifying a bit,
(<em>x</em> + 5) / (2<em>x</em> + 8)
The ratioes are said to be equivalent, so
<em>x</em> / (2<em>x</em> - 1) = (<em>x</em> + 5) / (2<em>x</em> + 8)
Solve for <em>x</em> :
<em>x</em> (2<em>x</em> + 8) = (<em>x</em> + 5) (2<em>x</em> - 1)
2<em>x</em>² + 8<em>x</em> = 2<em>x</em>² + 9<em>x</em> - 5
8<em>x</em> = 9<em>x</em> - 5
-<em>x</em> = -5
<em>x</em> = 5
So the three integers are 5, 7, and 9.
y = 6 - 3x
x + y = 62
Since we already know the value of y, we can use substitution to find the value of x.
x + 6 - 3x = 62
<em><u>Subtract 6 from both sides.</u></em>
x - 3x = 56
<em><u>Combine like terms.</u></em>
-2x = 56
<em><u>Divide both sides by -2</u></em>
x = -28
Now that we know the value of x, we can solve for the value of y.
x + y = 62
-28 + y = 62
<em><u>Add 28 to both sides</u></em>
y = 90
The value of y is 90, and the value of x is -28 (this is your answer)
To make sure that these values are correct, we can plug them into the original equations.
y = 6 - 3x
x + y = 62
90 = 6 - 3(-28)
90 = 90 √ this is correct
-28 + 90 = 62
62 = 62 √ this is also correct
