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Ierofanga [76]
3 years ago
8

Amanda invests 5000 in a cd at an annual rate of 2%. What will her investment be worth at the end of three years?

Mathematics
2 answers:
lana66690 [7]3 years ago
8 0

Answer:

$5306.04

Step-by-step explanation:

Amanda is investing at a rate of 2% annually for 3 years, hence we will use the Future value formula here for the correct answer of the investment after a period of 3 years.

Future Value = Present value * (1 + interest)^years

Future value = 5000*(1+0.02)^3

Future Value: $5306.4

Hope this Helps, Good luck.

Nookie1986 [14]3 years ago
3 0
The equations would be 5000(1+0.02)^3 and the answer is $5306.04
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3 years ago
What is the exact value of cos (67.5°)?
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let's double up 67.5°, that way we can use the half-angle identity for the cosine of it, so hmmm twice 67.5 is simply 135°, keeping in mind that 135° is really 90° + 45°, and that whilst 135° is on the 2nd Quadrant and its cosine is negative 67.5° is on the 1st Quadrant where cosine is positive, so

cos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta) \\\\\\ cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+cos(\theta)}{2}} \\\\[-0.35em] ~\dotfill\\\\ cos(135^o)\implies cos(90^o+45^o)\implies cos(90^o)cos(45^o)~~ - ~~sin(90^o)sin(45^o) \\\\\\ \left( 0 \right)\left( \cfrac{\sqrt{2}}{2} \right)~~ - ~~\left( 1\right)\left( \cfrac{\sqrt{2}}{2} \right)\implies -\cfrac{\sqrt{2}}{2} \\\\[-0.35em] ~\dotfill

cos(67.5^o)\implies cos\left( \frac{135^o}{2} \right)\implies \pm \sqrt{\cfrac{ ~~ 1-\frac{\sqrt{2} ~~ }{2}}{2}}\implies \stackrel{I~Quadrant}{+\sqrt{\cfrac{ ~~ 1-\frac{\sqrt{2} ~~ }{2}}{2}}} \\\\\\ \sqrt{\cfrac{ ~~ \frac{2-\sqrt{2}}{2} ~~ }{2}}\implies \sqrt{\cfrac{2-\sqrt{2}}{4}}\implies \cfrac{\sqrt{2-\sqrt{2}}}{\sqrt{4}}\implies \cfrac{\sqrt{2-\sqrt{2}}}{2}

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2 years ago
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<span>They definitely are not parallel lines and do not overlap at all points. Plotting the equations in a graph, an intersection is observed. This intersection most likely is the third option. The lines at (1.6, 1.4).</span>
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