Exponential growth because a decay would be a fraction in the parenthesis
Answer:
7.5 years
Step-by-step explanation:
P = $5000,
R = 4.25%,
A = $6593.75,
N =?
SI = A - P = 6593.75 - 5000 =$1593. 75
<span>6x2 -5x –3 = 0
a = 6 b=-5 and c=-3
x = [-b +-sq root (b² -4ac)] / 2a
x = [--5 +-sq root (25 -4*6*-3)] / 2*6
x = [5 +- sq root (25 +72)] / 12
x = [5 +- sq root (97)] / 12
x1 = [5 + </span><span><span><span>9.8488578018
</span>
</span>
</span>
] / 12
x1 =
<span>
<span>
<span>
14.8488578018
</span>
</span>
</span>
/ 12
x1 =
<span>
<span>
<span>
1.2374048168
</span>
</span>
</span>
x2 = [5 -
<span>
<span>
<span>
9.8488578018
</span>
</span>
</span>
] / 12
x2 =
<span>
<span>
<span>
-4.8488578018
</span>
</span>
</span>
/ 12
x2 =
<span>
<span>
<span>
-0.4040714835
</span>
</span>
</span>
If x = # of quarters, then, the # of dimes will be equal to 2x. The total value (z) would be equal to:
z = 0.25x + 0.10(2x)
Then, since you switch the quarters and the dimes, and you have a new total, the resulting equation will be:
1.2 + z = 0.25(2x) + 0.10(x)
Plug in the values you know:
1.2 + (0.25x + 0.10(2x)) = 0.25(2x) + 0.10(x)
Solve for x:
1.2 + (0.25x + 0.20x) = 0.50x + 0.10x
1.2 + 0.45x = 0.60x
1.2 = 0.15x
x = 1.2/0.15 = 8
This means that there are 8 Quarters in her bag right now. So, the amount of dimes is just 2x which is 16. So your answer will be:
She has 8 Quarters and 16 Dimes in her bag right now. Or, $3.60.
If this doesn't make sense, then tell me. I have some resources where I got the answer from to put it into simplest terms. I have the website if you want.
