Answer:
end of third year = 1,200*(1.02)^3 = 1,273.45 plus
end of second year = 1,200*(1.02)^2 = 1,248.48 plus
end of first year = 1,200*(1.02) = 1,224.00
Total = 3,745.9
Step-by-step explanation:
Answer:
13 carnations
Step-by-step explanation:
Assuming you meant 2/5 because 2.5 would mean there are more roses in the vase than there are flowers in the vase, heres how to solve this.
Understanding
Each fraction is referring to "flowers" not "remaining flowers" and as such each time we will be comparing to the total.
2/5 of the total flowers are roses. This is written in words as for every 5 flowers two are roses, which means we will multiply 2 by how many sets of five we have in 30 flowers.
(30/5) x 2 =
(6) x 2 = 12 roses
Though with fractions its written as 30/1*2/5 which is the same as (30 x 2)/5
60/5 = 12 roses
Following this logic for every 6 flowers one is a daisy.
30/1 * 1/6 = (30 x 1)/6 = 30/6 = 5 daisies
Because the rest are carnations we want to subtract the amount of daisies and roses from the total amount of flowers to find the remaining flowers.
30 - 5 - 12 = 13 carnations
Hope this helps,
<h3>
4 Answers: A, C, E, and F</h3>
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Explanation:
Choice A is true assuming we have 
In this case, 
and 
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Choice B is false. See choice A above.
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Choice C is true. The sequence 
is decreasing. As n gets larger, 
gets smaller. This is because the denominator is growing larger with the numerator held constant.
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Choice D is false. This contradicts choice C.
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Choice E is true since the denominator is growing forever
This is similar to 
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Choice F is true due to choices C and E being true.
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Choice G is false because it contradicts choice F.
Answer:
AB = BC = AC = 15
Step-by-step explanation:
Since the triangle is equilateral then the 3 sides are congruent.
Equate any 2 sides and solve for x , that is
AC = AB , so
11x - 7 = 6x + 3 ( subtract 6x from both sides )
5x - 7 = 3 ( add 7 to both sides )
5x = 10 ( divide both sides by 5 )
x = 2
Then
AC = 11x - 7 = 11(2) - 7 = 22 - 7 = 15 , thus
AB = BC = AC = 15
Yes because thats the simplest fourm
