paul was given 2760$ to buy toys for a group of children.A)what would be the greatest number of toys paul could buy if each toy
1 answer:
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The given pair of lines are not perpendicular.
<h3>What is a line?</h3>The line is a curve showing the shortest distance between 2 points.
5x - 5y = -2 - - - - - (1)
Transform the equation into standard form,
5x + 2 = 5y
y = 5x /5 + 2/5
y = x + 2/5
The slope of equation 1 is and intercept c = 2 / 5
Similarly
x + 2y = 4 - - - - - - - -(2)
Transform it into standard form
y = -x/2 + 4 /2
y = -x / 2 + 2
Slope of the equation 2 = -1 / 2 and intercept c = 2
Slope of line 1 * slope of line 2 = 1 * -1/2 = -1/2
Since the lines are not perpendicular because the pair of lines does not satisfy the property of perpendicular lines i.e
Thus, the given pair of lines are not perpendicular.
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Answer:
The difference in the amount of interest she would have to pay for the two loans is $1,400
Step-by-step explanation:
The amount of loan Holly is taking out, P = $10,000
The choices available for the loan are;
1) Loan duration, T₁ = 4-year
Interest rate, R₁ = 4%
2) Loan duration, T₂ = 6-year
Interest rate, R₂ = 5%
For the first choice, we have;
The simple interest, I, given by the formula;
For the second choice, we have;
The simple interest, I, given by the formula;
The difference, D, in the amount of interest she would have to pay for the two loans is therefore;
D = I₂ - I₁ = $3,000 - $1,600 = $1,400
The difference in the amount of interest she would have to pay for the two loans = D = $1,400.