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Elanso [62]
3 years ago
15

(a) 26 is what percent of 40? 65% (b) 85% of 80 is what number?

Mathematics
1 answer:
Marizza181 [45]3 years ago
6 0
A) 65%
b) 68

26:40 as x:100
26/40 = x/100
Cross multiply
2600 = 40x
x = 65
———————
85% of 80
0.85 is the decimal equivalent of 85%
80 x 0.85 = 68
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Step-by-step explanation:

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Print Version
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Answer:

$9450

Step-by-step explanation:

We will use compound interest formula:

F=P(1+r)^t

Where

F is future amount [what we want to figure out]

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r is rate of interest [since we want for 6 months, the annual interest divided by 2 is r. So r = 10/2 = 5% or 0.05]

t is the time [ the time period is for 6 months so t = 1 since we already converted the interest rate to 6 month chunk]

Putting in formula, we get:

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3 years ago
If you divide one of the roots of the equation 4x2+bx−27=0 by the other root, the quotient will be −3. Find b.
klio [65]
<h3>Answer:</h3>

  ±12   (two answers)

<h3>Explanation:</h3>

Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:

  (<em>a</em>)(-3<em>a</em>) = -27/4

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  <em>a</em> = ±√(9/4) = ±3/2

Then the other root is

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We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...

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  b = ±12

_____

<em>Check</em>

For b = 12, the equation factors as ...

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  It has roots -9/2 and +3/2, the ratio of which is -3.

For b = -12, the equation factors as ...

  4x² -12x -27 = (2x +3)(2x -9) = 0

  It has roots 9/2 and -3/2, the ratio of which is -3.

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Step-by-step explanation:

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