Answer:
Step-by-step explanation:
we know,
The Angle Addition Postulate states that: If a point lies in the interior of an angle, then the postulate describes that putting two angles side by side with their vertices together creates a new angle whose measure equals the sum of the measures of the two original angles.
Here, W is the internal point.
The two angles are UVW and WVX.
Now, by the angle addition postulate,
UVX is equal to the sum of UVW and WVX.
Hence, the reason is-
Angle Addition Postulate
2(b + 3c) → We first need to simplify this.
Simplify.
2b + 6c
1st Option :
3(b + 2c)
Simplify.
3b + 6c
This is INCORRECT, as it is not equal to 2b + 6c.
2nd Option :
(b + 3c) + (b + 3c)
Simplify.
2b + 6c
This is CORRECT because 2b+6c = 2b+6c
(b + 3c) + (b + 3c) → Answer
~Hope I helped!~
Answer:
Amount invested = $15,000 (Approx.)
Step-by-step explanation:
Given:
Amount of interest received = $6,159
Rate of interest = 3.5%
Number of year = 10 year
Find;
Amount invested
Computation:
Using compound interest formula
I = P[(1+r)ⁿ - 1]
6,159 = Amount invested[(1+3.5%)¹⁰ - 1]
6,159 = Amount invested[(1+0.035)¹⁰ - 1]
6,159 = Amount invested[(1.035)¹⁰ - 1]
Amount invested = $15,000 (Approx.)
Answer:
The population in 20 years will be 781.
Step-by-step explanation:
The population of the town can be modeled by the following equation:

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate, as a decimal.
The initial population of 500 increases by 25% in 10 years.
This means that 
We use this to find r.



Applying ln to both sides




So

What will be the population in 20 years
This is P(20)

The population in 20 years will be 781.