I think it is C
Hope this helped
<u>The question does not clearly specify from which endpoint Q is at 2/3. I'll assume Q is 2/3 away from R.</u>
Answer:
<em>The point Q is (2,3)</em>
Step-by-step explanation:
Take the aligned points R(-2,1), S(4,4), and Q(x,y) in such a way that Q is 2/3 away from R (assumed).
The required point Q must satisfy the relation:
d(RQ) = 2/3 d(RS)
Where d is the distance between two points.
The horizontal and vertical axes also satisfy the same relation:
x(RQ) = 2/3 x(RS)

And, similarly:

Working on the first condition:

Removing the parentheses:

Adding 2:

x = 2
Similarly, working with the vertical component:

Removing the parentheses:

Subtracting 1:

y = 3
The point Q is (2,3)
Answer:
31 years to triple the investment
Step-by-step explanation:
Initial investment = 300
Triple amount that is final amount = 300*3= 900
rate of interest = 3.5 % = 0.035
we need to find out number of years (t)
for compounded continuously we use formula

A is the final amount
P is the initial amount
r is the rate of interest
t is the number of years

Divide both sides by 300

take 'ln' on both sides

ln(3) = 0.035t ln(e)
ln(e)= 1

t= 31.3889
Round to nearest whole number
t= 31 years
Answer:
The answer is C, i got it wrong on USAtestprep so i can answer it for you :)
Step-by-step explanation:
2(a+bc)=2a+2bc
3.(ab-cb-ba+bc)= 3ab-3cb-3ba+3bc
Since the brackets and multiplication have a higher order than the rest.
Cb=Bc
Ab=ba
Ac=Ca
Because multiplication is commutative.
2a+2bc + cb +ab + ac -(3ab-3cb-3ba+3bc)
2a + 2bc + cb + ab + ac(+ -3ab - - 3cb - -3ba +-3bc)
2a + 2bc + cb + ab + ac -3ab + 3cb + 3ba -3bc
2a + (2bc-3bc +cb + 3cb ) + (ab -3ab + 3ba) + ac
=2a + 3cb + ba+ ac OR 2a +3bc + ab + ac
The Or is just a different way to write it.
Hope this helps