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Veronika [31]
3 years ago
12

veronica is saving money to buy a saddle for her horse that cost $175 . She plans to save 10 the first one and then increase the

amount she Saves by 10 each month after the first month how many months will it take her to save 175
Mathematics
1 answer:
Makovka662 [10]3 years ago
8 0

Answer:

  about 6 months

Step-by-step explanation:

After 1 month, Veronica has $10 saved.

After adding $20 the second month, she has $30 saved.

After adding $30 the third month, she has $60 saved.

After adding $40 the fourth month, she has $100 saved.

After adding $50 the fifth month, she has $150 saved.

After adding $60 the sixth month, she has more than enough saved.

It will take Veronica 6 months to save enough for her saddle.

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Answer:

True.

Step-by-step explanation:

Given,

4cos2 (4x) - 3 = 0

Now, 4π/24 = π/6

Or, cos π/6 = √3/2

Or, cos^2 π/6 = 3/4

Or, 4 cos^2 π/6 = 3

Now, Left Hand Side= 4cos2 (4x) - 3

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Here, Left Hand Side= Right Hanad Side. So, 4cos2 (4x) - 3=0 is true.

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Please solve the following sum or difference identity.
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Answer:

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Step-by-step explanation:

Given:

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sin(B) = -\frac{4}{5}

Need:

sin(A - B)

First, let's look at the identities:

sum: sin(A + B) = sinAcosB + cosAsinB

difference: sin(A - B) = sinAcosB - cosAsinB

The question asks to find sin(A - B); therefore, we need to use the difference identity.

Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.

sin(A) = \frac{24}{25}

cos(A) = \frac{7}{25}

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cos(B) = \frac{3}{5}

Plug these values into the difference identity formula.

sin(A - B) = sinAcosB - cosAsinB

sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})

Multiply.

sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})

Add.

sin(A - B) = \frac{4}{5}

This is your answer.

Hope this helps!

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