Let $x be invested in the account that paid 5% simple interest.
Let $y be invested in the account that paid 10% simple interest.
The total invested is $10,000, therefore
x + y = 10000 (1)
The interest amounts earned are respectively
x*1*0.06 = 0.06x
y*1*0.10 = 0.10y
The total interest earned is $760, therefore
0.06x + 0.10y = 760
Multiply through by 10 to obtain
0.6x + y = 7600 (2)
Subtract (2) from (1).
x + y - (0.6x + y) = 10000 - 7600
0.4x = 2400
x = $6,000
From )1), obtain
y = 10000 - 6000 = $4,000
Answer:
$6,000 in the account paying 6% simple interest, and
$4,000 in the account paying 10% simple interest.
To find the answer, the equation to solve it is 3x-70=x, since those angles are equal due to corresponding angles. Then just combine like terms to get -70=-2x. Then divide to get 35°.
If you would like to know which of the following steps should be performed to eliminate variable d first, you can find this using the following steps:
equation a: 2c = d - 8 /*(-3)
equation b: c = 3d + 8
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-6c = -3d + 24
c = 3d + 8
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-6c + c = -3d + 24 + 3d + 8
-5c = 32
5c = -32
c = -32/5
<span>The correct result would </span>be: <span>multiply equation a by −3.</span>
Answer:
Answer: The mean increases by 3
Step-by-step explanation:
The original data set is
{50, 76, 78, 79, 79, 80, 81, 82, 82, 83}
The outlier is 50 because it is not near the group of values from 76 to 83 which is where the main cluster is.
The original mean is M = (50+76+78+79+79+80+81+82+82+83)/10 = 77
If we take out the outlier 50, the new mean is N = (76+78+79+79+80+81+82+82+83)/9 = 80
So in summary so far
old mean = M = 77
new mean = N = 80
The difference in values is N-M = 80-77 = 3
So that's why the mean increases by 3