Answer:
A
Step-by-step explanation:
just watch and go with the flow
The solution to the problem is as follows:
let y = asinx + bcosx
<span>
dy/dx = acosx - bsinx </span>
<span>
= 0 for max/min </span>
<span>
bsinx = acosx </span>
<span>
sinx/cosx = a/b </span>
<span>
tanx = a/b </span>
<span>
then the hypotenuse of the corresponding right-angled triangle is √(a^2 + b^2) </span>
<span>the max/min of y occurs when tanx = a/b </span>
<span>
then sinx = a/√(a^2 + b^2) and cosx = b/√(a^2 + b^2) </span>
<span>
y = a( a/√(a^2 + b^2)) + b( b/√(a^2 + b^2)) </span>
<span>
= (a^2 + b^2)/√(a^2 + b^2) </span>
<span>
= √(a^2 + b^2)</span>
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Answer:
$1.75
Step-by-step explanation:
1 pound of carrot and 1.5 pounds of squash cost $7.00.
1c + 1.5s = 7 ----------------- [ 1 ]
4.5 pounds of carrot and 1.75 pound of squash cost $14.00.
4.5c + 1.75s = 14 ----------------- [ 2 ]
<u>[ 1 ] x 4.5:</u>
4.5c + 6.75s = 31.5 ----------------- [ 1a ]
<u>[1a] - [2]:</u>
5s = 17.5
s = $3.50
<u>Sub s = 3.5 into [ 1 ]:</u>
1c + 1.5 (3.5) = 7
1c + 5.25 = 7
1c = $1.75
Constant is the scale term in proportionality. Suppose one variable is dependent on the other and one variable become twice, other becomes also twice and if one becomes half, other too becomes half., but they are two different variables which are no-where linked (like cost(money) vs quantity). Quantity and cost are two different things but they abridge a mathematical relation of proportionality. So in the mathematics to abridge these two different variables, we need something. Constant serves that purpose.
Answer:
$215,892.50
Step-by-step explanation:
This is a problem of compound interest.
In compound interest Amount A for principal p charged at interest r% per annum is given by
A = p(1+r/100)^n
where n is the time period in years.
_____________________________
given
p = $100,000
r = 8%
t = 10 years
A= 100,000( 1+ 8/100)^10
A= 100,000( 1.08)^10
A = $215,892.50
So , you need to pay $215,892.50 in total to debt cleared of debt.
