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castortr0y [4]
2 years ago
11

More and more businesses and homeowners are installing solar panels on their roofs to draw energy from the sun's rays. According

to the U.S. Department of Energy, the solar cell kilowatt-hour use in the United States (in millions) is projected to be S(t) = 0.73t2 + 15.8t +2.7 (0 < t < 8) in year t, with t = 0 corresponding to 2000.
What was the number of projected solar cell kilowatt-hours used in the United States for 2001? For 2002?
Mathematics
1 answer:
4vir4ik [10]2 years ago
5 0

Answer:

S(2001) = 19.23

S(2002) = 37.22

Step-by-step explanation:

Given that;

S(t) = 0.73t^2 + 15.8t +2.7

t = 0 corresponding 2000

t = 1 then, its mean year 2001

so

S(2001) = 0.73(1)^2 + 15.8(1) +2.7

= 0.73 + 15.8 + 2.7

S(2001) = 19.23

also

t = 2 then, it means 2002

so

S(2002) = 0.73(2)^2 + 15.8(2) +2.7

= 2.92 + 31.6 + 2.7

S(2002) = 37.22

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At a bake shop, the cost of flour is $2.50 per pound and increases at a rate of $0.07 per month. The cost of cocoa is $6.00 per
Vesna [10]

Answer:

Step-by-step explanation:

We will find two equations for this system, one representing flour and the other representing cocoa.  For the flour, we start with $2.50, and the cost goes up .07 per month, x. The equation for that is

y = .07x + 2.50

For the cocoa, the equation is written in the exact same way, but the cost goes down.  Down is a negative thing while up is a positive thing.  The cost starts at $6.00 and goes down .03 per month, x. The equation for that is

y = -.03x + 6.00

Comparing the first equation to the second, the .07 is positive because the cost goes UP that amount per month and the .03 is negative because the cost goes DOWN that amount per month.  Get it?

If y is cost and we are tryong to find out where the cost is the same, we are looking for when y is the same.  If the first y is equal to .07x + 2.50 and the second y is equal to -.03x + 6.00, and y is equal to y, then

.07x + 2.50 = -.03x + 6.00 (this is setting the first y equal to the second y).  This is the system that describes how to find the number of months x when the cost y is the same. We'll solve it just for practice.

Combining like terms we get

.10x = 3.5 so

x = 35

Now back sub in what x equals to solve for y.  If x = 35, then in the first equation,

.07(35) + 2.50 = y and

y = 4.95 (you could have used the second equation and subbed in 35 for x and you will get the exact same y value.  Promise!)

What this answer tells us is that 35 months after the start of this pricing, the cost of flour will be the same as the cost of cocoa.  But immediately after 35 months, the costs will not be the same anymore.  It is only AT 35 months.  At 36 months, the costs will be different.

7 0
1 year ago
Aimee is flying a plane for the first time! The air traffic controller tells her to fly at 500 m above the ground or higher. Wri
DanielleElmas [232]
We are given in this item that the elevation required for flying a plane is 500 m or higher. This concept can also be expressed as, ''elevation must be at least 500m''. Further, this can be expressed as,
                     ''elevation should be greater than or equal to 500m''

If this is to be translated to the mathematical inequality, the answer would be,
                               h ≥ 500 m
4 0
2 years ago
Rocío trabaja en una peluquería, le pagan $50 por corte realizado, adicionalmente recibe $25 al día. Si el día miércoles recibió
skad [1K]

Usando conceptos de funciones lineales, se encuentra que hizo 5 cortes.

----------------

Una funcion lineale tiene el seguiente formato:

y(x) = ax + b

En que:

  • a eres lá inclinacion, o sea, lo que es pago por cada corte.
  • b eres el intercepto, o sea, lo pagamiento fixo por día.

----------------

  • Pagan $50 por corte realizado, o sea, a = 50.
  • $25 fixo al día, o sea, b = 25

Entonces, la funcion de su recibimiento y, como funcion de su numero de cortes x, es da por:

y(x) = 25 + 50x

----------------

  • Recibió $275, o sea, y(x) = 275

Entonces, el numero de cortes es:

y(x) = 25 + 50x

25 + 50x = 275

50x = 250

x = \frac{250}{50}

x = 5

Realizó 5 cortes.

Un problema similar se encuentra en  brainly.com/question/18070326

7 0
2 years ago
Read 2 more answers
Find the solution of 4x2y′′−4x2y′+y=0,x&gt;04x2y″−4x2y′+y=0,x&gt;0 of the form y1=xr(1+c1x+c2x2+c3x3+⋯)
BabaBlast [244]

Answer:

r = 1/2

c1 = 3/4

c2 = 27/64

c3 = 405/1408

Step-by-step explanation:

Find the solution of 4x2y′′−4x2y′+y=0,x>04x2y″−4x2y′+y=0,x>0 of the form y1=xr(1+c1x+c2x2+c3x3+⋯)

r = 1/2

c1 = 3/4

c2 = 27/64

c3 = 405/1408

The solution is attached.

5 0
2 years ago
PLEASE HELP
konstantin123 [22]
The length of the minor arc AB is 6.3cm
7 0
2 years ago
Read 2 more answers
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