If her total annual interest is $420. Then the amount of invested will be $4200.
The quantity of anything is stated as though it were a fraction of a hundred.
Emma has half of her investments in stock paying a 9% dividend and the other half in a stock paying 11% interest.
If her total annual interest is $420.
Then the amount of invested will be
Let x be the invested amount.
0.09(x/2) + 0.11(x/2) = 420
(x/2) (0.09 + 0.11) = 420
x/2 = 2100
x = $4200
More about the percentage link is given below.
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602 − 402 = 3600 − 1600 = 2,000
602 − 402 = (60 − 40)2 = 202 = 400
602 − 402 = (60 + 40)(60 − 40) = (100)(20) = 2,000
Answer:
A
Step-by-step explanation:
the answer is B. 1/2
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17 and 7 are the possible values of x that makes up the missing y-value of the coordinates.
The distanceformula used in finding the distance between two points is expressed as;
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
Given the data in the question;
Point 1( 12,8 )
Point 2( x,−4 )
Plug the given values into the distance formula and solve for x.
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
13 = √( ( x - 12 )² + ( -4 - 8 )² )
13 = √( ( x - 12 )² + ( -12 )² )
Take the square of both sides
13² = ( x - 12 )² + ( -12 )²
13² = ( x - 12 )² + ( -12 )²
13² = ( x - 12 )² + 114
( x - 12 )² + 114 = 169
( x - 12 )² = 169 - 114
( x - 12 )² = 25
Take the square root of both sides
x - 12 = ±√25
x - 12 = ±5
x = 12+5, x = 12-5
x = 17, x = 7
Therefore, the possible values of x are 7 and 17.
Learn more about the distance formula here: brainly.com/question/24509115
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Answer:
Step-by-step explanation: