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Rasek [7]
3 years ago
11

Steve borrowed $2000 at 8% annual interest for 6 months. How much interest did he pay? Steve paid ? in interest.​

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
4 0

Answer:

I = (2,000) (0.08) (6)

I = (160) (6)

Steve pays $960 in interest

Step-by-step explanation:

I completed the quiz :)

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The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 80 minutes
Artist 52 [7]

Answer:

a) 0.023

b) 0.286

c) 10 students will be unable to complete the exam inthe allotted time.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 80 minutes

Standard Deviation, σ = 10 minutes

We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(completing the exam in one hour or less)

P(x < 60)

P( x < 60) = P( z < \displaystyle\frac{60 - 80}{10}) = P(z < -2)

Calculation the value from standard normal z table, we have,  

P(x < 60) =0.023= 2.3\%

b) P(complete the exam in more than 60 minutes but less than 75 minutes)

P(60 \leq x \leq 75) = P(\displaystyle\frac{60 - 80}{10} \leq z \leq \displaystyle\frac{75-80}{10}) = P(-2 \leq z \leq -0.5)\\\\= P(z \leq -0.5) - P(z < -2)\\= 0.309- 0.023 = 0.286= 28.6\%

c) P(completing the exam in more than 90 minutes)

P(x > 90)

P( x > 90) = P( z > \displaystyle\frac{90 -80}{10}) = P(z > 1)

= 1 - P(z \leq 1)

Calculation the value from standard normal z table, we have,  

P(x > 90) = 1 - 0.8413 = 0.1587 = 15.87\%

15.87% of children of class will require more than 90 minutes to complete the test.

Number of children =

\dfrac{15.87}{100}\times 60 = 9.52\approx 10

Approximately, 10 students of class will require more than 90 minutes to complete the test.

4 0
3 years ago
A cyclist accelerates from 0 m/s to 8 m/s in 3 seconds. What is his acceleration? Is this acceleration higher than that of a car
77julia77 [94]

The average acceleration of an object is calculated as the final speed minus the initial speed divided by the elapsed time.

So:

a = \frac{V_f-V_0}{T_2-T_1}

Where

V_f= final speed

V_0 = initial speed

T_2-T_1 = elapsed time.

Thus:

The acceleration of the cyclist is:

a = \frac{8-0}{3}

a = 2.667m / s ^ 2

The acceleration of the car is:

a = \frac{30-0}{8}

a = 3.75 m/s^2

The average acceleration of the car is higher than the average acceleration of the cyclist.

7 0
3 years ago
What is the wavelength of an earthquake wave if it has a speed of 10 km/s and a frequency of 4 Hz?
Natasha2012 [34]

Hey there!!

Always remember -

wave length = velocity / frequency

Now substitute the values

Wave length = 10 / 4

Wave Length = 2.5 m


7 0
3 years ago
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