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tatuchka [14]
3 years ago
15

two years ago randi earned $18,400. last year she earned $19,700. suppose she earns $21,600 this year. how much would randi have

to earn next year so that her four year average is $21,000
Mathematics
1 answer:
Simora [160]3 years ago
3 0
$24,300


18,400+19700+21600=59700
(59700+ x)/4 =21000
Multiply both sides by 4
59700+x=84000
Subtract 59700 both sides
X=24300

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Graph y=|3x| using as many points as needed
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Graph is below

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4,464 divided by 18<br> Please and thanks
nataly862011 [7]
4,464 divided by 18 is 248

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3 years ago
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Sophia expects the number of cows, C C, on her farm t t years from now to be modeled by the function C ( t ) = 3 0 ( 2 ) C(t)=30
topjm [15]

Answer:

The expression is given as:

H(t)=C(t)\times F(t)=240\times 3^t.

Step-by-step explanation:

Sophia expects the number of cows, C, on her farm t years from now to be modeled by the function:

C( t ) = 30\times (2)^t

Additionally, she expects the supply of hay, F, in tons, that her crops can provide for each cow t years from now to be modeled by the function

F( t ) =8\times (1.5)^t

Let H be the total yearly amount of hay produced in Sophia's farm (in tons) t years from now.

Total amount of Hay produced in sophia's farm= Number of cows in farm×Amount of hay required for each cow.

i.e. H(t)=C(t)×F(t)

H(t)=30\times 8\times (2)^t\times (1.5)^t

and we know that a^x\times b^x=(a\times b)^x=(ab)^x

Hence,H(t)=240\times (2\times 1.5)^t\\\\H(t)=240\times 3^t.

Hence, the hay produced on Sophia's farm is used exclusively to feed her cows i.e. we need to write the formula of H ( t ) in terms of C(t) and F (t) is:

H(t)=C(t)\times F(t)=240\times 3^t.


8 0
3 years ago
Write the equation of a sine function that has the following characteristics.
slava [35]

Answer:

\displaystyle y = 7\sin(9\pi(x +   {1}/{4}) )

Step-by-step explanation:

we are given

  • Amplitude:7
  • Period:9π
  • Phrase shift:¼

remember that,

\displaystyle y = A \sin(B(x + C) )+ D

where A is the Amplitude

B is the Period

C is the Phase shift

D is the vertical shift

note that, since D isn't given we'll take it 0

altogether substitute:

\displaystyle y = 7\sin(9\pi(x +   {}^{1}/_{4}) )+ 0

hence,

our equation is

\displaystyle y = 7\sin(9\pi(x +   {}^{1}/_{4}) )

and we are done!

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3 years ago
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