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Usimov [2.4K]
3 years ago
13

The price of a cantaloupe at a fruit stand goes up 4 cents each month. The first month the stand was open, a cantaloupe cost $1.

25.
What will the cost of a cantaloupe be in the 40th month?


A. $157.25

B. $16.85

C. $3.35

D. $2.81
Mathematics
2 answers:
konstantin123 [22]3 years ago
6 0

Answer:

D. $2.81

Step-by-step explanation:

The statement says that the price of a cantaloupe goes up 4 cents each month and that the cost of the cantaloupe was $1.25 on the first month. Tto determine the cost in the 40th month, you have to multiply 4 cents for 39 months as the price for the first month was given and then you have to add this with the price for the first month:

0,04*39= 1.56

1.56+1.25= $2.81

The price in the 40th month is $2.81.

Citrus2011 [14]3 years ago
5 0
1.25+(39*.04) = $2.81
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Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions.
lesya692 [45]

Answer:

\displaystyle f(x) = -2(x-2)(x^2+4)

Step-by-step explanation:

We want to find a third degree polynomial with zeros <em>x </em>= 2 and <em>x</em> = 2i and f(-1) = 30.

First, note that by the Complex Root Theorem, since <em>x</em> = 2i is a root, <em>x</em> = -2i must also be a root.

Hence, we will have the three factors:

\displaystyle f(x) = a(x-(2))(x-(2i))(x-(-2i))

Where <em>a</em> is the leading coefficient.

Expand and simplify the second and third factors:

\displaystyle \begin{aligned} (x-(2i))(x-(-2i)) &= (x-2i)(x+2i) \\ \\ &= x(x-2i)+2i(x-2i) \\ \\ &= (x^2 - 2ix) + (2ix - 4i^2) \\ \\ &=x^2 + 4\end{aligned}

Hence:

\displaystyle f(x) = a(x-2)(x^2+4)

Since f(-1) = 30:

\displaystyle \begin{aligned}  f(x) &= a(x-2)(x^2+4) \\ \\ (30) &= a((-1)-2)((-1)^2+4) \\ \\ 30 &= -15a \\ \\ a&= -2\end{aligned}

In conclusion, third degree polynomial function is:

\displaystyle f(x) = -2(x-2)(x^2+4)

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Answer:

D. rectangles

Step-by-step explanation:

Perpendicular is when they cross but the base isn't perpendicular

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Intersecting is when two or more lines meet and cross over each other

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Step-by-step explanation:

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Step-by-step explanation:

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Given that m/_a=40 and m/_b=61 find that the measure of angles x and y
brilliants [131]
Answer:
y = 140, x = 159
Step-by-step explanation:
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we can find this angle by subtracting 40 from 180, 180-40 = 140 = y
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1 year ago
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