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AnnZ [28]
3 years ago
9

annual sales for a company are $149,999 and are increasing at a rate of 6% per year. write an exponential growth function to mod

el this situation. then, find the annual sales after 7 years.
Mathematics
1 answer:
elixir [45]3 years ago
4 0

Answer:

  • S(t) = 149999(1.06)^t
  • $225543

Step-by-step explanation:

  • Initial value is $149999
  • Increase rate is 6% per year = 1.06 times

<u>The model of the growth is:</u>

  • S(t) = 149999(1.06)^t, where S- amount of annual sales, t- time in years, 1.06- growth rate per year

<u>Annual sales after 7 years:</u>

  • S(7) = 149999(1.06)^7 = $225543
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Step-by-step explanation: The final answer should be 7x + 3y, not 10xy.

8 0
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Which is true regarding the system of equations?<br><br> x minus 4 y = 1. 5 x minus 20 y = 4.
goldfiish [28.3K]

Answer:

No solution

Step-by-step explanation:

x - 4y = 1 --> (1)

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y = (¼)x - ¼ --> (1)

y = (¼)x - ⅕ --> (2)

Since these are 2 parallel lines with different y-intercepts, they will never meet

3 0
3 years ago
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A submarine travels 6.6 km due West from its base and then turns and travels due South for 3.9
geniusboy [140]

Answer:

7.7 km

Step-by-step explanation:

The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of 6.6 km and 3.9 km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle, a^{2}+b^{2} =c^{2}, where a and b are the lengths of the triangle's legs and c is the length of the triangle's hypotenuse. In this case, we know what a and b are, and we need to solve for c, so after substituting the given values of a and b into a^{2}+b^{2} =c^{2} to solve for c, we get:

a^{2}+b^{2} =c^{2}

6.6^{2} +3.9^{2} =c^{2} (Substitute a=6.6 and b=3.9 into the equation)

43.56+15.21=c^{2} (Evaluate the squares on the LHS)

58.77=c^{2} (Simplify the LHS)

c^{2}=58.77 (Symmetric Property of Equality)

\sqrt{c^{2} } =\sqrt{58.77} (Take the square root of both sides of the equation)

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7 0
3 years ago
Identify the domain and range of the table.
aleksley [76]
The domain and range of the table is 568
7 0
3 years ago
On a certain hot​ summer's day, 581 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for
Tanya [424]

Answer:

A = 219

C = 362

Step-by-step explanation:

Given,

581 = C + A

and

$1090.50 = 1.5C + 2.5A

solve 1st for A

A =581 - C

substute into 2nd

1090.50 = 1.5C + 2.5(581 - C)

solve for C

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1090.50 = -C + 1452.50

1090.50 - 1452.50 = -C

-362 = -C

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then

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581 = 362 + A

219 = A

A = 219

8 0
3 years ago
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