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gavmur [86]
3 years ago
7

The price of a watermelon at a fruit stand goes up 7 cents each month. The first month the stand was open, a watermelon cost $1.

25.
What will the cost of a watermelon be in the 30th month?

A.) $ 1.55
B.) $ 3.28
C.) $ 3.35
D.) $ 21.55
Mathematics
1 answer:
larisa [96]3 years ago
8 0

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

Cost of watermelon in the first month = $1.25

Every month it goes up by = 7 cents

so, it becomes an arithmetic progression:

1.25,1.32,1.39,......

So, here a = first term = 1.25

d=a_2-a_1=0.07

n = 30

So, our equation becomes,

a_{30}=a+(n-1)d\\\\a_{30}=1.25+(30-1)0.07\\\\a_{30}=1.25+29\times 0.07\\\\a_{30}=\$3.28

Hence, cost of a watermelon would be $3.28 in the 30th month.

Therefore, Option 'B' is correct.

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Step-by-step explanation:

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A rectangle is 6yards longer than it is wide. Find the dimensions of the rectangle if it’s area is 187 square yards
emmasim [6.3K]

Answer:

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.

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187 = w^{2} +6w

w^{2} +6w-187 =0,

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w=\frac{-6\±\sqrt{6^2-4(1)(-187)} }{2(1)}

w=\frac{-6\±\sqrt{36+748} }{2}=\frac{-6\±\sqrt{784} }{2}=\frac{-6\±28}{2}

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Or

w=\frac{-6-28}{2}=\frac{-34}{2}=-17 yards But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

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6 0
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Answer:

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The trigonometric functions, \sin x and \cos x are defined for all real numbers.

\tan x=\frac{\sin x}{\cos (x)}, this function is not defined where \cos x=0.

\cot x=\frac{\cos x}{\sin (x)}, this function is not defined where \sin x=0.

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8 0
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