Answer:
x=-5
Step-by-step explanation:
1/2x^2+5x+25/2=0
Multiply each side by 2 to clear the fractions
2*(1/2x^2+5x+25/2)=0*2
Distribute
x^2+10x+25=0
What two numbers multiply together to give us 25 and add together to give us 10
5*5 = 25
5+5 =10
(x+5) (x+5) =0
Using the zero product property
x+5 =0 x+5 = 0
x+5-5= 0-5 x+5-5 =0-5
x=-5 x=-5
x=-5
Answer:
<em>$225</em>
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Step-by-step explanation:
Given that:
Principal = $6,000
Interest rate = 5%
Time = 1 year
Taxes paid = 25% on the interest earned
To find:
Money earned after paying taxes ?
Solution:
First of all, let us calculate the total interest earned:
Formula for Simple Interest is given as:

Where P is the principal
R is the rate of interest
T is the time taken
Putting the given values:

Now, it is given that 25% of the interest earned is given as taxes.
Taxes paid = 25% of $300

Therefore, the money earned = Interest earned - Taxes paid
The money earned = $300 - $75 = <em>$225</em>
A. Andre can answer 1.5 facts per second.
135 : 90
b. Noah can answer 1.25 facts per second.
75 : 60
Andre is working faster.
ANSWER

EXPLANATION
The given inequality is,

By the definition of absolute value,

We divide through by negative 1, in the first part of the inequality and reverse the sign to get,

We simplify now to get,


Divide through by 2 to obtain,