Let x be the number of months.
The first plan is 15 dollars sign up fee and 38 dollars per month. So the equation is 38x + 15.
The second plan is 78 dollars as sign up fee and 31 dollars per month. So the equation is 31x + 78.
We need find when x has the same value in both equations, so we do their equality:
38x + 15 = 31x + 78
Let's subtract 15 from both sides
38x + 15 = 31x + 78
38x + 15 - 15 = 31x + 78 - 15
38x = 31x + 63
Now let's subtract 31x from both sides to have the variables on a side and the numbers on side:
38x = 31x + 63
38x - 31x = 31x - 31x + 63
7x = 63
Divide both sides by 7 to have the variable x on a side and its value on the other:
(7x)/7 = 63/7
x = 9
So at month 9, the 2 plans will cost the same.
Let's check our answers, and let y be the cost:
y = 38x + 15 = 38*9 + 15 = 357
y = 31x + 78 = 31*9 + 78 = 357
Our answer has been approved.
Hope this helps! :D
Answer:
The patient owe $1255.6 .
Step-by-step explanation:
As given
A patient's total surgery charges are $1,278.
The patient must pay the annual deductible of $1,000.
The policy states a 80-20 coinsurance. (i.e 20% of the surgery amount is given by the patient .)
20% is written in the decimal form .
= 0.20
20% of patients surgery cost = 0.20 × $1278
= $ 255.6
Patients owe = Deductible cost + 20% of patients surgery cost
= $1000 + $255.6
= $ 1255.6
Therefore the patient owe $1255.6 .
Answer:
Step-by-step explanation:
15x+10x=12x+90; ⇔ 13x=90;
Answer:
cosine
Step-by-step explanation:
cosine is adj over hyp
this can be remembered by the acronym:
SOH CAH TOA
s meaning sine
c meaning cosine
t meaning tangent
Answer:
48 minutes
Step-by-step explanation:
3 x 6 = 18
8 x 6 = 48
