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AysviL [449]
3 years ago
6

If sin (7y) = cos (5y + 14), find y.

Mathematics
1 answer:
Reil [10]3 years ago
7 0

Answer:

Step-by-step explanation:

sin(7y)=cos(5y+14)=sin(90-(5y+14))=sin(76-5y)

7y=76-5y

12y=76

y=76/12=19/3

or

sin(7y)=cos (5y+14)=sin (90+(5y+14))=sin (5y+104)

7y=5y+104

2y=104

y=52

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How much simple interest does 2560 earn in 17 months at a rate of 1 1/8
Tatiana [17]

Answer:185.87

Step-by-step explanation:

Explanation:

simple interest (SI) can be calculated using the formula

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

S

I

=

P

R

T

100

2

2

∣

∣

∣

−−−−−−−−−−−−−−−

where P is the Principal, that is amount of money

R is the rate of interest

T is time in years

here P

=

$

2560

,

R

=

5

1

8

=

41

8

and T

=

17

12

years

⇒

S

I

=

2560

×

41

8

×

17

12

100

⇒

S

I

=

2560

×

41

×

17

100

×

8

×

12

⇒

S

I

≈

$

185.87

to nearest cent

4 0
3 years ago
According to the Bureau of Labor Statistics, the average weekly pay for a U.S. production worker was $441.84 in 1998 (The World
Oksanka [162]

Using the normal distribution, it is found that a production worker has to make $542.64 a week to be in the top 30% of wage earners.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

  • The mean is of \mu = 441.84.
  • The standard deviation is of \sigma = 120.
  • The lower bound of the top 30% is the 70th percentile, which is X when Z has a p-value of 0.7, so <u>X when Z = 0.84.</u>

Z = \frac{X - \mu}{\sigma}

0.84 = \frac{X - 441.84}{120}

X - 441.84 = 0.84(120)

X = 542.64

A production worker has to make $542.64 a week to be in the top 30% of wage earners.

You can learn more about the normal distribution at brainly.com/question/24663213

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