9514 1404 393
Answer:
$3942.72
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r)^t . . . . P invested at rate r for t years
You have P = 3500, r = 0.015, t = 8. Put these values into the formula and do the arithmetic.
A = $3500(1.015^8) ≈ $3942.72
Carl will have $3942.72 in the account after 8 years.
x = number of messages sent or received
y = total cost per month
Plan A costs $30 per month plus $0.10 per text message. So the cost for plan A is y = 0.10*x + 30. The portion 0.10*x represents just the cost of the 10 cents per message, and then we add on the fixed cost of $30 to get the total cost.
In a similar fashion, plan B's cost is y = 60. There is no cost per message, so we don't have to include x in the picture. The cost is a flat fee, which leads to a flat horizontal line graph (as shown in the attachment below)
Our two equations are: y = 0.10x+30 and y = 60. Let's use substitution to find x
y = 0.10x + 30
60 = 0.10x + 30 ... replace y with 60 (works because y = 60)
60-30 = 0.10x
30 = 0.10x
0.10x = 30
x = 30/0.10
x = 300
If you send or receive 300 messages, then both plans will cost the same. We can see this on the graph below where the two lines cross at (300,60). Note how plugging x = 300 into the first equation simplifies to y = 60.
no real solutions
The conditions for the discriminant are
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then no real solutions
Answer:
8x(7yz - 2y + 3z).
Step-by-step explanation:
Note that 8x is a factor common to all three terms. Thus, we can factor as follows:
8x(7yz - 2y + 3z).
There is no other common factor, so the above expression is as far as we can go in factorizing the given expression.
Answer:
written in blue are answer
Step-by-step explanation:
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