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horsena [70]
4 years ago
5

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics
2 answers:
velikii [3]4 years ago
7 0

Answer:  $858.25

<u>Step-by-step explanation:</u>

The sum of a geometric sequence is: S_n=\dfrac{a_1(1-r^n)}{1-r}\ \text{where}\ a_1\ \text{is the first term and r is the ratio}

In the given problem, a_1=100 and r = 1.02

S_8=\dfrac{100(1-1.02^8)}{1-1.02}\\\\\\.\quad=\dfrac{100(1-1.17165)}{-0.02}\\\\\\.\quad=-5000(-0.17165)\\\\.\quad=858.25

Molodets [167]4 years ago
5 0
Week 1: $100
Week 2: $102
Week 3: $104.04
Week 4: $106.1208
Week 5: $108.243216
Week 6: $110.40808032
Week 7: $112.6162419264
Week 8: $114.868566764928
Total: $858.296905011328

(A=100[((1+0.02)^(8)-1)(/0.2)=858.29

Hope that helped!
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How to convert 80 kg = g
Svetllana [295]

Answer:

It would be 8000g.

Step-by-step explanation:

This is as the 'kilo' in 'kilograms' means thousand, so you times by 1000 to get kilograms into grams and divide by 1000 to get grams into kilograms, i hope this helps

5 0
3 years ago
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An Air Conditioner uses 850 Watts of electricity and local emissions from electricity produce 1.37 pounds of CO2 per kWh. If you
Zina [86]

Answer: 6,987,000 pounds fo CO₂ per kWh.

Step-by-step explanation: <u>Quilowatt</u>-<u>hour</u> <u>(kWh)</u> is a unit of energy that measures the amount of energy expended in 1 hour.

The AC uses 850 Watts, which in kW is 850,000 kW

If you leave the AC on for 6 hours, it will consume

850,000(6) = 5,100,000 kWh

Eletricity produces 1.37 pounds of CO₂ per kWh, then in 5,100,000 kWh:

1.37 \frac{pounds}{kWh}.(5,100,000kWh) = 6,987,000 pounds

If you open a window for 6 hours, you would keep 6,987,000 pounds of CO₂ for entering the atmosphere.

7 0
3 years ago
Explain why vertical lines are a special case in the definition of parallel lines.
Nookie1986 [14]

Answer:

A vertical line has an infinite or undefined slope since the denominator is zero.

Step-by-step explanation:

Parallel lines by definition refers to lines that never intersect or meet since they have identical slopes. The slope of line is defined as;

(change in y)/(change in x)

For a vertical line, the y values are changing while the x values remain constant. The slope of this line will thus have a zero value in the denominator implying that its slope will not defined or will be infinity.

6 0
3 years ago
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The line plots show the number of hours two different age groups of teenagers spent online the previous week.
nikklg [1K]
The range of the top plot, hours spent by 13-15 year olds, is found by subtracting the highest value, 34, and the lowest value, 21.  34-21=13.
The mean of the top plot is found by adding together all of the data points and dividing by 10 (the number of data points):
\frac{21+24+26+27+27+28+28+28+31+34}{10}=\frac{274}{10}=27.4

The range of the bottom plot, minutes spent online by 16-18 year olds, is found by subtracting the highest value, 36, and the lowest value, 12.  36-12=24.
The mean of the bottom plot is found by adding together all of the data points and dividing by 11 (the number of data points):
\frac{12+21+27+28+28+28+28+30.5+34+35+36}{11}=\frac{307.5}{11} \approx27.95
4 0
3 years ago
Scientific notation of 325•10^-8
USPshnik [31]

Given:

A number is

325\times 10^{-8}

To find:

The scientific notation of the given number.

Solution:

Scientific notation of a number is the product of a number between 1 to 10 and 10 to the power some integer.

We have,

325\times 10^{-8}

It can be written as

325\times 10^{-8}=3.25\times 10^{2}\times 10^{-8}

325\times 10^{-8}=3.25\times 10^{2+(-8)}

325\times 10^{-8}=3.25\times 10^{-6}

Therefore, the scientific notation of the given number is 3.25\times 10^{-6}.

3 0
3 years ago
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