First, note that for angles LMP and NMP you have

If
is
more than
then

Now, since
you have

Therefore,

Answer: 
Answer:
The amount of money originally invested which is the principal P = 5,000
Step-by-step explanation:
Using the compound interest formula, the return on investment can be represented on the interest function as;
f(x) = P(1+r)^x
Where
P is the principal which is the initial investment.
r = rate Proportion
x = time (number of years)
Comparing to the given function;
f(x) = 5,000(1 + 0.04)^x
We can see that;
Principal P = 5,000
Rate r = 0.04
time = x
The amount of money originally invested which is the principal P = 5,000
Answer:
∠AEI ≅ ∠DEH because vertical angles are congruent; rotate ΔHED 180° around point E, then translate point D to point A to confirm ∠IAE ≅ ∠HDE.
Step-by-step explanation:
tbh im not suuper sure but my educated guess is that by looking at it. Good Luck!
Answer:
FV(n)=42,000(1.04)^n
Step-by-step explanation:
FV=PV(1+r/n)^nt
Where
FV=future value
PV=present value
r=interest rate
n=number of periods
t=time (years)
PV=42,000
r=4%=0.04
n=1
t=n
FV(n)=p(1+r/n)^nt
=42,000(1+0.04/1)^1*n
=420000(1+0.04)^n
=42,000(1.04)^n
FV(n)=42,000(1.04)^n
Answer:
Third option: 
Step-by-step explanation:
<h3>
The correct exercise is attached.</h3>
The equation given is:

The steps to find the value of "x" are shown below:
1. Add 2 to both sides of the equation:

2. Descompose 9 and 27 into their prime factors:

3. Substitute them into the equation:

4. Knowing that If
, then
, we get:

5. Apply Distributive property:

6. Add 2 to both sides:

7. Divide both sides of the equation by 2:
