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2 years ago

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Here are the monthly charges for jo’s Mobile phone. Monthly charge £16,150 free minutes,then 13p per minute,150 free texts,then

15p per text during one month,jo makes 170 minutes of calls and sends 182 texts. Work out the total charge for the month

1 answer:

zhuklara [117]2 years ago

5 0

Answer:

16,652

Step-by-step explanation:

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Zack borrowed $1,087 for 12 months at 11% interest. if he must pay 11.00 per $100, what is the total amount of money he will rep

Naddika [18.5K]

Answer:

The correct option is d.

Step-by-step explanation:

It is given that Zack borrowed $1,087 for 12 months at 11% interest. It means he must pay 11.00 per $100.

Formula of simple interest:

$I=\frac{P\times r\times t}{100}$

Where P is principal amount, r is rate of interest in percentage and t is time in years.

$I=\frac{1087\times 11\times 1}{100}$

$I=119.57$

The interest paid by Zack is $1,087.

The total amount of money he will repay is

$1,087+119.57=1,206.57$

Therefore option d is correct.

0 0

2 years ago

Read 2 more answers

The heights of students in a class are normally distributed with mean 55 inches and standard deviation 5 inches. Use the Empiric

maks197457 [2]

Answer: c)[50,60]

Step-by-step explanation:

The Empirical rule says that , About 68% of the population lies with the one standard deviation from the mean (For normally distribution).

We are given that , The heights of students in a class are normally distributed with mean 55 inches and standard deviation 5 inches.

Then by Empirical rule, about 68% of the heights of students lies between one standard deviation from mean.

i.e. about 68% of the heights of students lies between $\text{Mean}\pm\text{Standard deviation}$

i.e. about 68% of the heights of students lies between $55\pm5$

Here, $55\pm5=(55-5, 55+5)=(50,60)$

i.e. The required interval that contains the middle 68% of the heights. = [50,60]

Hence, the correct answer is c) (50,60)

4 0

2 years ago

Keisha makes a large sandwich for a family picnic.She takes 1/2 of the sandwich to the picnic.At the picnic,her family eats 3/8

insens350 [35]

Answer:

Keisha has 1/8th of the sandwich that she brings back.

Step-by-step explanation:

To start, take a whole sandwich and subtract the 1/2 she left at home and the 3/8 that her family ate.

1 - 1/2 - 3/8 = Leftover

We also need to give them common denominators to complete the action.

8/8 - 4/8 - 3/8 = Leftover

1/8 = Leftover

3 0

2 years ago

The variable complex number z is given by z=1+cos 2θ+isin2θ,where θ takes all values in the interval −1/2π<θ<1/2π

FinnZ [79.3K]

The given complex number is
z = 1 + cos(2θ) + i sin(2θ), for -1/2π < θ < 1/2π

Part (i)
Let V = the modulus of z.
Then
V² = [1 + cos(2θ)]² + sin²(2θ)
= 1 + 2 cos(2θ) + cos²2θ + sin²2θ

Because sin²x + cos²x = 1, therefore
V² = 2(1 + cos2θ)

Because cos(2x) = 2 cos²x - 1, therefore
V² = 2(1 + 2cos²θ - 1) = 4 cos²θ
Because -1/2π < θ < 1/2π,
V = 2 cosθ PROVEN

Part ii.
1/z = 1/[1 + cos2θ + i sin 2θ]
$\frac{1}{z} = \frac{(1+cos2\theta - i\, sin2\theta)}{(1 + cos 2\theta + i\, sin 2\theta)(1+cos2\theta - i \,sin2\theta)}\\ = \frac{1+cos2\theta - i \,sin 2\theta}{(1+cos2\theta)^{2} + sin^{2}2\theta}$

The denominator is
$(1+cos2\theta)^{2}+sin^{2}2\theta \\ = 1+2cos2\theta+cos^{2}2\theta+sin^{2}2\theta \\ =2cos2\theta+2 \\ = 2(1+cos2\theta)$

Therefore
$\frac{1}{z} = \frac{1}{2} -i \frac{sin2\theta}{2(1+cos2\theta)}$

The real part of 1/ = 1/ (constant).

6 0

2 years ago

Mr. Smith works on a temporary basis. The mean length of each job he gets is three months. If the amount of time he spends betwe

Eduardwww [97]

Answer:

Mr Smith gets a new job, every 5 months on the average.

Step-by-step explanation:

Mr Smith spends an average of 3 months on every job he gets.

Then he spends an average of 2 months in between jobs.

Meaning, on the average, if he has a job, he does it for 3 months, then leaves, lends the next 2 months without a job, then gets another job at the end of the 2 months without a job and then he repeats the cycle of 3 months on the job, 2 months without the job.

So, on the average it takes Mr. Smith, (3+2) months to get a new job.

6 0

2 years ago