Answer:
a. 25%
b. $1560
c. $130
Step-by-step explanation:
a.
If 75% is paid by company, the rest is paid by Ruth.
Out of 100%, 75% is paid by company, so Ruth pays 100 - 75 = 25%
b.
Per year, the total amount paid is 6240, but Ruth pas 25% of this. So,
25% = 0.25
To get the answer, we multiply 0.25 with 6240.
0.25 * 6240 = 1560
So, $1560 is paid by Ruth annually.
c.
Since 1560 is paid annually (in 12 months), each month Ruth has to pay:
1560/12 = $130
Hence, $130 is deducted each month from her paycheck
Answer:
-2 and 26
Step-by-step explanation:
Multiply to -52:
-2 * 26= -52
Add to 24
-2+26= 24
Any number inside the modulus sign becomes positive. This means
and so we have,

Solving these gives us


However if we check the second solution in the original equation we obtain
. This is false and so
can't be a solution.
Therefore the only solution is
.
(Note: I'm not sure why the second solution didn't work but when there's a modulus sign involved it always pays to check your final answers to be sure. I'll have a think about it but in case you find out before I do, I'd be interested to know in the comments.)
Answer:
10010
Step-by-step explanation:


So
gives us:



-----------------------------------------------------
Combine like terms:


We aren't allowed to have a coefficient bigger than 1.
I'm going to replace
with 1 and
with
:

I want a
number:

Combine like terms:

:

Combine like terms:

We can rewrite the first term by law of exponents:


So the binary form is:

Maybe you like this way more:
Keep in mind 1+1=10 and that 1+1+1=11:
Setup:
1 0 1 1
+ 1 1 1
------------------------------
(1) (1) (1)
1 0 1 1
+ 1 1 1
------------------------------
1 0 0 1 0
I had to do some carry over with my 1+1=10 and 1+1+1=11.