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lana66690 [7]
3 years ago
12

5 Gretchen borrowed $50 from her parents for 3 months. They charged her 14% interest. How much does she need to pay her parents

to pay off the loan?​
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
6 0

Step-by-step explanation:

simple interest <em>=</em><em> </em><em>p</em><em>r</em><em>i</em><em>n</em><em>c</em><em>i</em><em>p</em><em>a</em><em>l</em><em>×</em><em>r</em><em>a</em><em>t</em><em>e</em><em>×</em><em>t</em><em>i</em><em>m</em><em>e</em>

<em>S</em><em>.</em><em>I</em><em> </em><em>=</em><em> </em><em>$</em><em>5</em><em>0</em><em>×</em><em>(</em><em>1</em><em>4</em><em>÷</em><em>1</em><em>0</em><em>0</em><em>)</em><em>×</em><em>3</em>

<em>S</em><em>.</em><em>I</em><em>=</em><em>$</em><em>5</em><em>0</em><em>×</em><em>0</em><em>.</em><em>1</em><em>4</em><em>×</em><em>3</em>

<em>S</em><em>.</em><em>I</em><em>=</em><em>$</em><em>2</em><em>1</em>

<em>A</em><em>m</em><em>o</em><em>u</em><em>n</em><em>t</em><em>=</em><em> </em><em>p</em><em>r</em><em>i</em><em>n</em><em>c</em><em>i</em><em>p</em><em>a</em><em>l</em><em> </em><em>+</em><em> </em><em>s</em><em>i</em><em>m</em><em>p</em><em>l</em><em>e</em><em> </em><em>i</em><em>n</em><em>t</em><em>e</em><em>r</em><em>e</em><em>s</em><em>t</em>

<em>A</em><em>m</em><em>o</em><em>u</em><em>n</em><em>t</em><em> </em><em>=</em><em> </em><em>$</em><em>5</em><em>0</em><em>+</em><em>$</em><em>2</em><em>1</em>

<em>A</em><em>m</em><em>o</em><em>u</em><em>n</em><em>t</em><em> </em><em>=</em><em> </em><em>$</em><em>7</em><em>1</em>

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Cos(x+y)/cos(x)sin(y)=cot(y)-tan(x)
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So there is an identity we'll need to use to solve this:

cos(x+y) = cosxcosy - sinxsiny

replace the numerator with the right hand side of that identity and we get:

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Separate the numerator into 2 fractions and we get:

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the cosx's cancel on the left fraction, the siny's cancel on the right fraction and we're left with:

cosy/siny - sinx/cosx

which simplifies to:

coty - tanx




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Step-by-step explanation:

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