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likoan [24]
2 years ago
13

Sophie invested 5,000 into an account that will increase in value by 2.3% each year. Write a function to model this situation, t

hen find the value of the investment after 15 years
Mathematics
1 answer:
Zarrin [17]2 years ago
5 0

Answer:

$6725

Step-by-step explanation:

Given data

Princiapal= $5000

Rate=2.3%

Time= 15years

The function that will model this situation is given as

A=P(1+rt)

The above function is a simple interest function

Substitute our data we can find the amount A

A=5000(1+0.023*15)

A= 5000(1+0.345)

A=5000(1.345)

A=5000*1.345

A=$6725

Hence the value of the investment after 15 years is $6725

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Steven has a rectangular rug with a perimeter of 16 feet. The width of the rug is 5 feet. What is the length of the rug?
boyakko [2]
\boxed{\boxed{\text{Perimeter = 2(Length + Width)}}}

Given that the perimeter is 16ft and width is 5 ft,
16 = 2( Length + 5)

Distribute 2:
16 = 2Length + 10

Take away 10 from both sides:
2Length = 16 - 10

Evaluate the right hand side:
2Length = 6

Divide by 2 on both sides:
Length = 3

\boxed{\boxed{\text{Answer: Length = 3 ft}}}

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3 years ago
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3 years ago
What is the answer for this problem?
Y_Kistochka [10]
This is a problem involving the subtraction of two functions f(x) and g(x):

<span>if f(x)=3x-1 and g(x)=x+2, find (f-g)(x).  In other words, find:

</span><span>  f(x)  = 3x-1 
-{g(x) -(x+2)
-----------------
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4 0
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4 0
3 years ago
Read 2 more answers
A certain region currently has wind farms capable of generating a total of 2500 megawatts ​(2.5 ​gigawatts) of power. Complete p
marishachu [46]

Answer:

<u>The correct answer is A. 7,665'000,000 kilowatt-hours per year and B. 766,500 households.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the questions:

Power capacity of the wind farms = 2,500 Megawatts or 2.5 Gigawatts

2. Let's resolve the questions a and b:

Part A

Assuming wind farms typically generate 35​% of their​ capacity, how much​ energy, in​ kilowatt-hours, can the​ region's wind farms generate in one​ year?

2,500 * 0.35 = 875 Megawatts

875 Megawatts = 875 * 1,000 Kilowatts = 875,000 Kilowatts

Now we calculate the amount of Kilowatts per hour, per day and per year:

875.000 Kw generated by the farms means that are capable of produce 875,000 kw per hour of energy

875,000 * 24 = 21'000,000 kilowatt-hours per day

<u>21'000,000 * 365 = 7,665'000,000 kilowatt-hours per year</u>

Part B

Given that the average household in the region uses about​ 10,000 kilowatt-hours of energy each​ year, how many households can be powered by these wind​ farms?

For calculating the amount of households we divide the total amount of energy the wind farms can generate (7,665'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

<u>Amount of households =  7,665'000,000/10,000 = 766,500</u>

4 0
2 years ago
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