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irinina [24]
3 years ago
10

Solve step by step.

Mathematics
1 answer:
lutik1710 [3]3 years ago
8 0

Answer:

Step-by-step explanation:

a₁ = 12,000

a₂ = 0.80a₁ = 9,600

a₃ = 0.80a₂ = 7,680

a₄ = 0.80a₃ = 6,144

a₅ = 0.80a₄ = 4,915.20

:::::

a₁ = 30

a₂ = 1.30a₁ = 52

a₃ = 1.30a₂ = 67.6 ≅ 68

a₄ = 1.30a₃ = 87.88 ≅ 88

a₅ = 1.30a₄ = 114.244 ≅ 114

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The mean temperature for the first 4 days in January was 8°C. The mean temperature for the first 5 days in January was 7°C. What
mote1985 [20]

Answer:

The temperature of the 5th day was 3°C

Step-by-step explanation:

Mean temperature of the first 4 days = 8°C

Note that:

Mean = Sum of temperatures ÷ number of days

∴ 8 = sum of temperature ÷ 4

= 8 = \frac{sum\ of\ temperatures}{4}

= sum\ of\ temperatures\ = 8\ \times\ 4 = 32

Therefore the sum of the first 4 days = 32

Let the temperature of the next day (the fifth day) be m

Hence,

sum of the temperatures of first 5 days = 32 + m - - - - (1)

Next, the sum of the first 5 days can be calculated from the given average of the first 5 days as follows:

Mean temperature of the first 5 days = 7

Mean = \frac{sum\ of\ temperatures}{number \ of\ days}\\\\7 = \frac{sum\ of\ temperatures}{5} \\sum\ of\ temperatures\ = \ 7\ \times\ 5\ = 35\\sum\ of\ temperature\ of\ the\ first\ 5\ days\ =\ 35 - - - - - (2)

Now, you will notice that equation (1) = equation (2)

∴ 32 + m = 35

m = 35 - 32 = 3

therefore, the temperature of the 5th day was 3°C

4 0
3 years ago
Find the value of X. Round the lengths of segments to the nearest 10th in the measure of angles to the nearest degree
Blizzard [7]
SOH CAH TOA tells you the sine ratio is
  Sin = Opposite/Hypotenuse
  sin(x) = 12.5/15
Then the angle x can be found using the inverse function.
  x = arcsin(12.5/15) ≈ 56°

The appropriate choice is
  b) 56
7 0
3 years ago
Crystal earns $5.25 per hour mowing lawns. Write a rule to describe how the amount of money m earned is a function of the number
Law Incorporation [45]

Answer:

The answer is truly 11.81

Step-by-step explanation:

First you find how many minutes is in an hour (60) Half would be 30 and another would be 15

Divide 5.25 by 4 and get about 1.31

Times 5.25 by 2 getting 10.5

Add 10.5+1.31=11.81


7 0
4 years ago
How many times can 14 go into 8574?
bearhunter [10]
612.4285714285714 is the answer
8 0
3 years ago
Find the output, k, when the input, t, is 3.<br> k = 13t – 2<br> k=
barxatty [35]

Answer:

k= 13*3-2

k= 39-2

k=37 is the required answer

7 0
3 years ago
Read 2 more answers
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