Answer:
I have no idea sorry for wasting your time
Step-by-step explanation:
Answer:
$1456.25
Step-by-step explanation:
Given data
P= $1,250
t= 3 years
r=5.5%
The compound interest expression is given as
A= P(1+r)^t
substitute
A= 1250(1+0.055*3)
A= 1250(1+ 0.165)
A= 1250(1.165)
A= 1456.25
Hence the amount after 3 years is $1456.25
Answer:
Step-by-step explanation:
<u>Solve the given for h:</u>
<u>Isolate h:</u>
<u>Divide all terms by 2πr:</u>
Correct choice is A
<h3>
Answer: A. 18*sqrt(3)</h3>
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Explanation:
We'll need the tangent rule
tan(angle) = opposite/adjacent
tan(R) = TH/HR
tan(30) = TH/54
sqrt(3)/3 = TH/54 ... use the unit circle
54*sqrt(3)/3 = TH .... multiply both sides by 54
(54/3)*sqrt(3) = TH
18*sqrt(3) = TH
TH = 18*sqrt(3) which points to <u>choice A</u> as the final answer
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An alternative method:
Triangle THR is a 30-60-90 triangle.
Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.
The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.
Now use the pythagorean theorem
a^2 + b^2 = c^2
(TH)^2 + (HR)^2 = (TR)^2
(x)^2 + (54)^2 = (2x)^2
x^2 + 2916 = 4x^2
2916 = 4x^2 - x^2
3x^2 = 2916
x^2 = 2916/3
x^2 = 972
x = sqrt(972)
x = sqrt(324*3)
x = sqrt(324)*sqrt(3)
x = 18*sqrt(3) which is the length of TH.
A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.
Answer:
580ml
Step-by-step explanation:
Let The quantity of water drank by Carol be x
Now given that Keela drank twice as much water as Carol which means the quantity of water drank by Keela is 2x
Also given that Xavier drank 100 mL more water than Keela which means the quantity of water drank by Xavier is 2x+100
Total water consumed by all the three is 3 litres=3000 ml
Total water drank = Water drank by Keela + Water drank by Xavier +Water drank by carol
3000=x+2x+2x+100
5x=2900
x=580ml
Carol drank 580ml of water.
