The base of 6 is the same, so add 1/2+1/2 =1
6^1 = 6
Answer:
Step-by-step explanation:
(√10)/(√3)*(√3)/(<span>√3); multiplied by the conjugate which is = (</span><span>√30/3)</span>
Answer:
The distance between the two points is 
Step-by-step explanation:
In order to find the distance between two coordinate pairs, we can use the distance formula:

Our coordinate pairs need to be labeled accordingly, so we can use this naming system:

This assigns a name to our points:
Therefore, we can plug these into the formula and solve:

Therefore, the distance between the two points is
.
Answer:
<u>Equation</u>: 
<u>The balance after 5 years is: $1742.43</u>
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Step-by-step explanation:
This is a compound growth problem . THe formula is:

Where
F is future amount
P is present amount
r is rate of interest, annually
n is the number of compounding per year
t is the time in years
Given:
P = 1500
r = 0.03
n = 12 (compounded monthly means 12 times a year)
The compound interest formula modelled by the variables is:

Now, we want balance after 5 years, so t = 5, substituting, we get:

<u>The balance after 5 years is: $1742.43</u>