Answer:
quantity a is halfed
Corrected question;
A quantity a varies inversely as a quantity b, if, when b changes a changes in the inverse ratio. What happens to the quantity a if the quantity b doubles?
Step-by-step explanation:
Analysing the question;
A quantity a varies inversely as a quantity b,
a ∝ 1/b
a = k/b ......1
when b changes a changes in the inverse ratio;
Since the change at the same ratio but inversely, k = 1
So, equation 1 becomes;
a = 1/b
If the quantity b doubles,
ab = 1
a1b1 = a2b2
When b doubles, b2 = 2b1
a1b1 = a2(2b1)
Making a2 the subject of formula;
a2 = a1b1/(2b1)
a2 = a1/2
Therefore, when b doubles, a will be divided by 2, that means a is halfed.
Answer:
Point B must be at the same distance from the the origin as point A.
Step-by-step explanation:
Coordinates of point A = (3, 3)
When point A is rotated 90° counterclockwise around the origin, coordinates of the new point B will be (-3, 3)
Distance from origin to point A = 
Similarly, distance of point B from the origin =
Therefore, distances of both the points from the origin are same.
Point B must be at the same distance from the the origin as point A.
The correct answer is: [C]: " $4290.00 " .
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Explanation:
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Given: principal, "P": equals: $14,300 ;
rate, "r" : equals: 7.5 % = 7.5 / 100 = 0.075 ;
time, "t" (in years): equals: 4 ;
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What is the interest, "i" ?
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Note: The formula: i = P * r * t .
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So, we plug in our given values for "P", "r", and "t", and solve for "i" (interest).
__________________________
i = ($14,300) *(0.075) * (4) ;
i = $1,490 ; which is answer choice: [C]: " $4290.00 " .
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Answer:
40%
Step-by-step explanation:
ok so first find the og price:
100% - 20% = 80%
so 80% = 200
let the 100% be x:
x * 0.8 = 200
x= 250
100% = 250
(difference/ og price) * 100% = the percentage decrease/ increase
(250-150/250)* 100% = 40%
OR
((the final price/ og price) * 100%) - 100%
((150/250)*100%) - 100% = 40%
There was a 40% decrease from the og price to the final price of 150.
Total = Principal * (1 + rate)^years
Total = 3,300 * (1.018)^5
Total = 3,300 *
<span>
<span>
<span>
1.0932988468
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Total =
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<span>
3,607.8</span></span></span>9
