Answer:
0.85c
Step-by-step explanation:
To simplify the expression, subtract like terms:
c - 0.15c
= 0.85c
So, the simplified expression is 0.85c
Answer:
Percentage of interest at which the money is invested = 5%
Time for which the money is invested = 3 years
The final amount after 3 years = $820
Let us assume the principal amount = x dollars
We can conclude that the principal amount invested was $708.35.
<h3>
Answer: Choice B ![\frac{\sqrt{15}}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B15%7D%7D%7B4%7D)
</h3>
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Work Shown:
Angle theta is between 0 and pi/2, so this angle is in quadrant Q1.
Square both sides of the given equation
![\sin \theta = \frac{1}{4}\\\\\sin^2 \theta = \left(\frac{1}{4}\right)^2\\\\\sin^2 \theta = \frac{1}{16}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%20%3D%20%5Cfrac%7B1%7D%7B4%7D%5C%5C%5C%5C%5Csin%5E2%20%5Ctheta%20%3D%20%5Cleft%28%5Cfrac%7B1%7D%7B4%7D%5Cright%29%5E2%5C%5C%5C%5C%5Csin%5E2%20%5Ctheta%20%3D%20%5Cfrac%7B1%7D%7B16%7D)
Then use the pythagorean trig identity to get
![\sin^2 \theta + \cos^2 \theta = 1\\\\\cos^2 \theta = 1-\sin^2 \theta\\\\\cos \theta = \sqrt{1-\sin^2 \theta} \ \ \ \text{cosine is positive in Q1}\\\\\cos \theta = \sqrt{1-\frac{1}{16}}\\\\\cos \theta = \sqrt{\frac{16}{16}-\frac{1}{16}}\\\\\cos \theta = \sqrt{\frac{16-1}{16}}\\\\\cos \theta = \sqrt{\frac{15}{16}}\\\\\cos \theta = \frac{\sqrt{15}}{\sqrt{16}}\\\\\cos \theta = \frac{\sqrt{15}}{4}\\\\](https://tex.z-dn.net/?f=%5Csin%5E2%20%5Ctheta%20%2B%20%5Ccos%5E2%20%5Ctheta%20%3D%201%5C%5C%5C%5C%5Ccos%5E2%20%5Ctheta%20%3D%201-%5Csin%5E2%20%5Ctheta%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Csqrt%7B1-%5Csin%5E2%20%5Ctheta%7D%20%5C%20%5C%20%5C%20%5Ctext%7Bcosine%20is%20positive%20in%20Q1%7D%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Csqrt%7B1-%5Cfrac%7B1%7D%7B16%7D%7D%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Csqrt%7B%5Cfrac%7B16%7D%7B16%7D-%5Cfrac%7B1%7D%7B16%7D%7D%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Csqrt%7B%5Cfrac%7B16-1%7D%7B16%7D%7D%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Csqrt%7B%5Cfrac%7B15%7D%7B16%7D%7D%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7B15%7D%7D%7B%5Csqrt%7B16%7D%7D%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7B15%7D%7D%7B4%7D%5C%5C%5C%5C)
The price after the discount is $3.706
<h3>Discount price</h3>
Give the following parameters
- cost of ice cream = $4.36
- Percent-off coupon = 15%
Discount = 0.15 * 4.36
Discount = $0.654
Price after the discount = $4.36 - 0.654
Price after the discount = $3.706
Hence the price after the discount is $3.706
Learn more on discount here: brainly.com/question/24304697