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Nataly_w [17]
3 years ago
14

Raymond invested $3,500 and earned $257.25 in interest over 1 3/4 years. What was the rate?

Mathematics
1 answer:
Anarel [89]3 years ago
8 0
4.2% annually. 257.25 is 7.25% of 3500. Then you take 7.35 divided by 7 because is 4/4 + 3/4 = 7/4 so you take 7.35/ 7 and it comes out to 1.05 and then you multiply that by 4 quarters of a year. So the answer is 4.2% annually (yearly)
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On a trip, you had to change your money from dollars to euros. You got 450 euros for 600 dollars. Which is a unit rate that desc
chubhunter [2.5K]
The number of Euros received against 600 dollars = 450
Then
For 1 dollar, the number of euros = (450/600) euros
                                                       = (45/60) euros
                                                       = ( 3/4) euros
                                                       = 0.75 euros
So the unit rate that describes the exchange rate is 0.75 euros per dollar. So the correct option among all the options given in the question is option "A". I hope the procedure for getting to the correct result is clear enough for you to understand. In future you can use this procedure for solving similar problems.


7 0
3 years ago
The point (Negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction, StartFraction StartRoot 2 EndRoot Over 2 EndFraction)
sveticcg [70]

The values of cosine Ф and cotangent Ф are \frac{-\sqrt{2} }{2} and -1

Step-by-step explanation:

When a terminal side of an angle intersect the unit circle at

point (x , y), then:

  • The x-coordinate is equal to cosine the angle between the positive part of x-axis and the terminal side
  • The y-coordinate is equal to sine the angle between the positive part of x-axis and the terminal side
  • If x and y coordinates are positive, then the angle lies in the 1st quadrant
  • If x-coordinate is negative and y-coordinate is positive, then the angle lies in the 2nd quadrant
  • If x and y coordinates are negative, then the angle lies in the 3rd quadrant
  • If x-coordinate is positive and y-coordinate is negative, then the angle lies in the 4th quadrant

∵ The terminal ray of angle Ф intersects the unit circle at point (\frac{-\sqrt{2} }{2},\frac{\sqrt{2} }{2})

- According to the 1st and 2nd notes above

∴ cosФ = x-coordinate of the point

∴ sinФ = y-coordinate of the point

∵ The x-coordinate of the point is negative

∵ They-coordinate of the point is positive

- According the the 4th note above

∴ Angle Ф lies in the 2nd quadrant

∵ x-coordinate = \frac{-\sqrt{2} }{2}

∴ cosФ = \frac{-\sqrt{2} }{2}

∵ y-coordinate = \frac{\sqrt{2} }{2}

∴ sinФ = \frac{\sqrt{2} }{2}

- cotФ is the reciprocal of tanФ

∵ tanФ = sinФ ÷ cosФ

∴ cotФ = cosФ ÷ sinФ

∴ cotФ = \frac{-\sqrt{2} }{2} ÷ \frac{\sqrt{2} }{2}

∴ cotФ = -1

The values of cosine Ф and cotangent Ф are \frac{-\sqrt{2} }{2} and -1

Learn more:

You can learn more about the trigonometry function in brainly.com/question/4924817

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
What is the m∠ACD, if m∠ABC = 37?
Stella [2.4K]

Step-by-step explanation:

angle ABC= angle ACB= 37° --------- because AB=AC

angle ACB+ angle ACD=180°

37+angle ACD=180

angle ACD=143°

4 0
2 years ago
Read 2 more answers
In AGHI, the measure of ZI=90°, the measure of ZG=5°, and IG = 57 feet. Find the
xxTIMURxx [149]

Answer:

The answer is 57.2

This is correct

3 0
2 years ago
Pleaseeee help!!
kkurt [141]

Answer:

answer is A. cosine

Step-by-step explanation:

8 0
2 years ago
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