So for this you will be using an exponential equation, which is with a=initial value, b=growth/decay, y = total balance, and x = # of years
In this case, a = 500, and since with this problem the initial value is growing, you will add 100% to 6% to get 106%, or 1.06. The equation will be formed as such:
With this problem, just plug in 15 into x and solve for y:
In short, after 15 years Tom will have $1198.28 in his account.
That's a right angled triangle.
Hope this helps!
Answer:
Dividing by 4 and -4
Step-by-step explanation:
Solving 4x < -16 is different from solving -4x< 16, because for 4x < -16, you are dividing by a positive 4 on both sides, but for -4x< 16, you are dividing by -4 on both sides.
Answer:
+2633 ft
Step-by-step explanation:
The city is above sea level meaning it is a positive number.
9514 1404 393
Answer:
$2.50
Step-by-step explanation:
The question asks for the total cost of a notebook and pen together. We don't need to find their individual costs in order to answer the question.
Sometimes we get bored solving systems of equations in the usual ways. For this question, let's try this.
The first equation has one more notebook than pens. The second equation has 4 more notebooks than pens. If we subtract 4 times the first equation from the second, we should have equal numbers of notebooks and pens.
(8n +4p) -4(3n +2p) = (16.00) -4(6.50)
-4n -4p = -10.00 . . . . . . . . . . . simplify
n + p = -10.00/-4 = 2.50 . . . . divide by the coefficient of (n+p)
The total cost for one notebook and one pen is $2.50.
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<em>Additional comment</em>
The first equation has 1 more notebook than 2 (n+p) combinations, telling us that a notebook costs $6.50 -2(2.50) = $1.50. Then the pen is $2.50 -1.50 = $1.00.
One could solve for the costs of a notebook (n) and a pen (p) individually, then add them together to answer the question. We judge that to be more work.