2x + 3(5x - 7) = 47 Please show steps
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From the setup of the problem, the "length of the top of the bookcase, measured along the attic ceiling" will be the hypotenuse of a right triangle, the length "AB". We have both the angle between AB and AC and the length of AC (3.24 meters), so we can use trigonometric identities.
The cosine of the 40 degree angle between AB and AC is equivalent to the length of AC divided by the length of AB. Equivalently, we have:
where "h", the hypotenuse, is the length we want. Rearranging the formula to solve for h we have that
which is 4.2295... meters. Converting to centimeters (multiplying by 100) we have that h = 422.95... centimeters, or if we round the value, h = 423 centimeters.
By using basic concept of percentage we got that minimum payment on Card E is 0.77 than on Card D.
<h3>What is percentage ?</h3>Percentage is a number or ratio expressed as a fraction of 100.
Here given that
Marilyn has two credit cards, D and E. Card D has a balance of $691. 64, and Card E has a balance of $1,014. 22. The minimum monthly payment on Card D is 3. 57% of the total balance, and the minimum monthly payment on Card E is 2. 51% of the total balance
So minimum balance of Card D is 3.57 Percentage of $ 691.64
minimum balance of Card E is 2. 51 Percentage of $1,014. 22.
Now we can see that minimum balance of Card E is 25.49-24.69=0.77 extra that on D
By using basic concept of percentage we got that minimum payment on Card E is 0.77 than on Card D.
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