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77julia77 [94]
3 years ago
5

Jack deposited $1,400 in his bank account. After 3 years, the account earned

Mathematics
1 answer:
Marina86 [1]3 years ago
7 0

Answer:

his intrest rate is 7%

Step-by-step explanation:

294/1400=0.21

0.21/3 years = 0.07

0.07=7%

1400*0.07=98

98*3 years = 294

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Given that tan0= -1, what is the value of sec0, for 3pi/2<0<2pi?
Maru [420]

Answer: Choice B. sqrt(2)

Draw out a right triangle in quadrant IV as you see in the attached image below. The horizontal and vertical legs are both 1 unit long. To ensure that the signs are properly set up, I am making the vertical leg BC have a label "-1" to mean this is below the x axis. Note how

tan(theta) = opposite/adjacent = BC/AB = -1/1 = -1

Use the pythagorean theorem to find that the hypotenuse AC is sqrt(2) units long

a^2 + b^2 = c^2

(1)^2 + (1)^2 = c^2

2 = c^2

c^2 = 2

c = sqrt(2)

The secant of theta is the ratio of the hypotenuse over the adjacent side, so we end up with

sec(theta) = hypotenuse/adjacent

sec(theta) = AC/AB

sec(theta) = sqrt(2)/1

sec(theta) = sqrt(2) which is why choice B is the answer

7 0
3 years ago
Read 2 more answers
The manufacturer of an electronic device claims that the probability of the device failing during the warranty period is 0.005.
Zielflug [23.3K]

Answer:

The  value is  P(X \ge  15) =  0.5

Step-by-step explanation:

From the question we are told that

    The probability of the device failing during the warranty period is p =  0.005

    The  sample size is  n = 3000

     The random variable  considered is  x  =  15

Generally this is distribution is binomial given the fact that there is only two out comes hence

      X  which is a variable representing a randomly selected selected electronic follows a binomial distribution i.e

     X  \~ \  B(n , p)

Now the mean is mathematically evaluated as

      \mu  =  n *  p

=>   \mu  = 3000 *  0.005

=>    \mu  =15

The standard deviation is mathematically represented as

      \sigma  =  \sqrt{np(1 -p )}

=>  \sigma  =  \sqrt{3000 *  0.005 * (1 - 0.005 )}

=>   \sigma  =  3.86

Now given that n is very large, then it mean that we can successfully apply normal approximation on this  binomial distribution

So

    P(X \ge  15) =  P( \frac{X - \mu}{\sigma }  \ge \frac{x - \mu}{\sigma } )

Now  applying  Continuity Correction we have

   P(X \ge  (15-0.5)) =  P( \frac{X - \mu}{\sigma }  > \frac{(15 -0.5) - 15}{3.86 } )

Generally  \frac{X - \mu}{\sigma }   =  Z (The \ standardized \ value  \ of  \ X)

    P(X \ge  (15-0.5)) =  P(Z >-0.130 )

From the z-table  

       P(Z >-0.130 )  =0.5

Thus  

    P(X \ge  15) =  0.5

 

   

7 0
3 years ago
A cable company charges $70 per month
kari74 [83]

Step-by-step explanation:

can you clarify more please i cant help you answer this question

7 0
3 years ago
Which of the following are solutions to the system shown below? Select all that apply. a (0,-1) b (1,0) C (0,0) d (3,4) e (0,1)​
Papessa [141]

Answer:

Options (a) and (c)

Step-by-step explanation:

There are so many inequalities graphed in the picture attached.

Common area (Triangle shown in the center) of the shaded regions will be the solution of the system of inequalities.

And points lying in this common region will be the solutions.

Points lying in this region are (0, -1) and (0, 0).

Therefore, Options (a) and (c) are the solutions.

4 0
3 years ago
Rick used a stick to trace a large rectangle in a sandy lot
konstantin123 [22]

Answer:

56 feet

Step-by-step explanation:

Perimeter is what the sum of all sides lengths of a polygon is. So if the retangle measures 13x15 feet, the perimeter would be 13+13+15+15. Because the 13x15 is only two sides, and a retangle has 4 sides. So we need to incorperate the other two sides, which are the same as the others because it is a retangle.

Hope this helps!

8 0
2 years ago
Read 2 more answers
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