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densk [106]
2 years ago
13

dan deposits 6,000$ into an account that pays simple interest at a rate of 6% per year . how much interest will he be paid in th

e first 6 years
Mathematics
1 answer:
Marrrta [24]2 years ago
3 0

Answer:

6,000+6%=6,360

Total in 6 years: 2,160

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gulaghasi [49]
If you learned about the 45-45-90 triangle (which is isosceles), then the faster way is to know that the hypotenuse (side opposite of right angle) is √2 times either one of the sides.
3√2 = (√2)x
x = 3

But if you didn't learn the 45-45-90 triangle yet, that's ok.
Recall the trigonometric ratios for right triangles: sine (sin), cosine (cos), tangent (tan).

If your angle is x, then
sin(x) = opposite side / hypotenuse
cos(x) = adjacent side / hypotenuse
tan(x) = opposite side / adjacent side

Remember the hypotenuse is the side opposite and across from the right angle (3√2 in this case).
An acronym to remember this is SohCahToa.

In this problem, the angle given is 45°, and you need to find the length of the adjacent side x. The hypotenuse is also given as 3√2.

Because we have the adjacent side and the hypotenuse, we use cosine to relate those two sides
cos(45°) = x / (3√2)
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(Score for Question 1: ___ of 6 points)
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