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USPshnik [31]
3 years ago
14

Verify the identity. cos (x - y) - cos (x + y) = 2 sin x sin y

Mathematics
1 answer:
ra1l [238]3 years ago
8 0
It is already in identity.
cos (x - y) - cos (x + y) = 2 sin(x) sin (y)
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A population is growing continuously at a rate of 5%. If the population is now 3400, what will it be in 17 years? Round to the n
Aleonysh [2.5K]

Answer:

In 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792

Step-by-step explanation:

Here we have that the formula for population presented as follows;

A = P(1+r)^t

Where:

A = Population after growth

P = Original population = 3400

r = 5% = 0.05

t = Time = 17 years

Population growing at a rate of 5% is thus given by the plugging in the above values into the population growth formula thus;

A = 3400 \times (1+0.05)^{17} = 7792.86

Since we are presenting data relating to number of people, we round alwys down as the statistics should represent the number of whole people on ground.

Therefore, in 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792.

6 0
3 years ago
Read 2 more answers
What is the smallest solution to the equation 2/3 x^2=24
True [87]

Answer:

The smallest solution is -6

Step-by-step explanation:

2/3 x^2=24

Multiply by 3/2 on each side

3/2 *2/3 x^2=24 *3/2

x^2 = 36

Take the square root of each side

sqrt(x^2) = ±sqrt(36)

x = ±6

x = -6, 6

The smallest solution is -6

7 0
3 years ago
Kiran and his cousin work during the summer for a landscaping company. Kiran's cousin has been working for the company longer, s
Marta_Voda [28]
Kiran earns $8.50 per hour.

Let x represent Kiran's pay.  He worked 23 hours last week, so his pay would be given by 23x.

Kiran's cousin is paid 30% more.  30% = 30/100 = 0.3.  We add this to the x per hour that Kiran is paid:

x + 0.3x = 1.3x

This is multiplied by 27, since Kiran's cousin works 27 hours:
27(1.3x)

This gives us the following equation:
23x + 27(1.3x) = 493.85
23x + 35.1x = 493.85
58.1x = 493.85

Divide both sides by 58.1:
58.1x/58.1 = 493.85/58.1
x = 8.5

Thus Kiran earns 8.50 per hour.
8 0
3 years ago
Please answer very quickly
PolarNik [594]

Answer:

ABD

Step-by-step explanation:

3 0
2 years ago
What is the measure of DG?<br> Enter your answer in the box.
musickatia [10]

Answer:

Step-by-step explanation:

∠DHG is an inscribed angle. This angle, by definition, measures half the measure of its intercepted arc. The intercepted arc is arc DG, the one in question. This means that, by the rule, if the angle is 85 degrees, the arc is 2(85) = 170°

7 0
3 years ago
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