$2, because if you do 8*25 you get 200 and if you divide that by 100 you get a total of 2 making the tax on the purchase $2.
Well 58 inches is 4 feet, so Amanda has to purchase 2 yards of fabric. So this brings her to $90. If you multiply 90 by 40%, and then subtract that number from 90, you have 54. Multipy 54 by the sales tax and then add that number to 54. So Amanda will have to pay $56.75. Hope this helps, have a nice day :)
Answer:
3, in both a), b)
Step-by-step explanation:
a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.
Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is
. In particular, the value we are looking for is
.
If you would like to compute the equation of the tangent line, we can use the point-slope equation to get 
b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to
.
Answer:
(x,y)=(309/7,-317/14) If you ever get stuck on similar problems I recommend using the photomath app.
Step-by-step explanation:
You will need to use this formula:
<span>Years = {log(total) -log(Principal)} ÷ log(1 + rate)
Years = [log(15,000) - log(2,500)] / log (1.0525)
</span>
<span>
<span>
<span>
4.1760912591
</span>
</span>
</span>
-
<span>
<span>
<span>
3.3979400087
</span>
</span>
</span>
/
<span>
<span>
<span>
0.0222221045
</span>
</span>
</span>
=
<span>
<span>
<span>
0.7781512504
</span>
</span>
</span>
/ <span>
<span>
<span>
0.0222221045 =
</span></span></span>
<span>
<span>
<span>
35.0169917705
</span>
</span>
</span>
years
About 35 years
You'll find the formula here: http://www.1728.org/compint2.htm
And a compound interest calculator here: http://www.1728.org/compint.htm
(You'll find both are helpful for this problem).