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aliina [53]
3 years ago
7

A pair of sunglasses on sale for 30% off original price.if the original Price is $18.00 what is the sale price?

Mathematics
2 answers:
son4ous [18]3 years ago
8 0
30 % off of ($ 18.00 U.S. dollars) =$12.6 U.S. Dollars
Zanzabum3 years ago
4 0
The sales price is $5.40
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For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of
Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is (-1)^{k+1}(\frac{1}{2^{k}}).

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as (-1)^{k+1}(\frac{1}{2^{k}}).

where k is from 1 to 10.

By the given expression sequence will be \frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......

In this sequence first term "a" = \frac{1}{2}

and common ratio in each successive term to the previous term is 'r' = \frac{\frac{(-1)}{4}}{\frac{1}{2} }

r = -\frac{1}{2}

Since the sequence is infinite and the formula to calculate the sum is represented by

S=\frac{a}{1-r} [Here r is less than 1]

S=\frac{\frac{1}{2} }{1+\frac{1}{2}}

S=\frac{\frac{1}{2}}{\frac{3}{2} }

S = \frac{1}{3}

Now we are sure that the sum of infinite terms is \frac{1}{3}.

Therefore, sum of 10 terms will not exceed \frac{1}{3}

Now sum of first two terms = \frac{1}{2}-\frac{1}{4}=\frac{1}{4}

Now we are sure that sum of first 10 terms lie between \frac{1}{4} and \frac{1}{3}

Since \frac{1}{2}>\frac{1}{3}

Therefore, Sum of first 10 terms will lie between \frac{1}{4} and \frac{1}{2}.

Option D will be the answer.

3 0
3 years ago
what will be the new coordinate of vertex b if the triangle is dilated with a center at the origin by a scale factor of 1/3
Citrus2011 [14]

Answer:

6,3

Step-by-step explanation:

6 0
3 years ago
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Given the points (-1, 1) & (-2,-5), what is the equation of the line? *
Leni [432]

Answer:

Y=6x+7

Step-by-step explanation:

3 0
3 years ago
Can someone please answer this ‍♀️
Marianna [84]
A) JL and JK

Because you must always start from top to bottom and left to right.
7 0
3 years ago
Whats the best answer for this ???
Romashka-Z-Leto [24]
Just simplify the given equation
y = 7.2 + 4(x-2)
y = 7.2 + 4x - 8
y = 4x - 0.8

Now they want to know the answer if X = 2
y = 4(2) - 0.8
y = 8 - 0.8
y = 7.2
3 0
3 years ago
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