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kirza4 [7]
3 years ago
12

Carolyn invests $2200 in one account and $800 in an account paying 1% higher interest. At the end of the year she has earned $30

8 in interest. At what rates did she invest?
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
8 0

Answer:

3308

Step-by-step explanation:

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A math class's mean test score is 88.4. The standard deviation is 4.0. If Kimmie scored 85.9, what is her z-score
kvv77 [185]

The z-score of Kimmie is -0.625

<h3>Calculating z-score</h3>

The formula for calculating the z-score is expressed as;

z = x-η/s

where

η is the mean

s is the standard deviation

x is the Kimmie score

Substitute the given parameter

z = 85.9-88.4/4.0

z = -2.5/4.0

z = -0.625

Hence the z-score of Kimmie is -0.625

Learn more on z-score here: brainly.com/question/25638875

#SPJ1

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2 years ago
How to find cos2theta
SSSSS [86.1K]
You can use the sum and difference identities which for cosine is cos(a+b)= cosacosb-sinasinb
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3 years ago
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Write each of the following as a function of theta.<br> 1.) sin(pi/4 - theta) 2.) tan(theta+30°)
Paladinen [302]

Step-by-step explanation:

Let x represent theta.

\sin( \frac{\pi}{4} - x )

Using the angle addition trig formula,

\sin(x - y)  =  \sin(x)  \cos(y)  -  \cos(x)  \sin(y)

\sin( \frac{\pi}{4} )  \cos(x)  -  \cos( \frac{\pi}{4} )  \sin(x)

( \frac{ \sqrt{2} }{2})  \cos(x)  -  (\frac{ \sqrt{2} }{2}  )\sin(x)

Multiply one side at a time

Replace theta with x , the answer is

\frac{ \sqrt{2} \cos(x)  }{2}  -  \frac{ \sin(x) \sqrt{2}  }{2}

2. Convert 30 degrees into radian

\frac{30}{1}  \times  \frac{\pi}{180}  =  \frac{\pi}{6}

Using tangent formula,

\tan(x + y)  =  \frac{ \tan(x)  +  \tan(y) }{1 -  \tan(x) \tan(y)  }

\frac{ \tan(x) +  \tan( \frac{\pi}{6} )  }{1 -  \tan(x) \tan( \frac{\pi}{6} )  }

Tan if pi/6 is sqr root of 3/3

\frac{ \tan(x) +  ( \frac{ \sqrt{3} }{3} )  }{1 -  \tan(x)  (\frac{ \sqrt{3} }{3} )  }

Since my phone about to die if you later simplify that,

you'll get

\frac{(3 \tan(x) +  \sqrt{3} )(3 +  \sqrt{3}  \tan(x)  }{3(3 -  \tan {}^{2} (x) }

Replace theta with X.

4 0
3 years ago
How many repeating digits are in 0.536<br><br> A. 1<br><br> B. 2<br><br> C. 3<br><br> D. 4
AURORKA [14]

Answer: there is 4 digits in the number 0.536

Step-by-step explanation: Remember that the zero counts as a number

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Solve the inequality n + 20 &lt; -42, and write the solution in interval notation.
Firdavs [7]

Answer:

Step-by-step explanation:

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