*see attachment for the figure referred to
Answer/Step-by-step explanation:
1. PN = 29
MN = 13
PM = ?
(Segment addition postulate)
(subtract MN from each side)
(substitute)


2. PN = 34, MN = 19, PM = ?
(sediment addition postulate)
(subtract MN from each side)
(substitute)


3. PM = 19, MN = 23, PN = ?
(Segment addition postulate)
(substitute)

4. MN = 82, PN = 105, PM = ?
(segment addition postulate)
(subtract MN from each side)
(substitute)


5. PM = 100, MN = 100, PN = ?
(Segment addition postulate)
(substitute)

Answer:
Step-by-step explanation:
because it's an absolute value inequality, there are two inequalities to solve
3x+3 ≤ 9 and 3x+3 ≥ -9, now we solve them separately
x ≤ 3 and x ≥ -4, which is -4 ≤ x ≤ 3
Answer:
The account balance after 24 months will be $23,092.70
Step-by-step explanation:
Given data
P= $20,000
r= 7.77%= 0.077
t= 2 years
A= ?
n= 24
The compound interest formula is

Inserting our values to solve for A we have

So exponenetial growth or decay
it goes like this
f(t)=P(1+r)^t
r=rate of decay or grouth
if r>0 then it is grouth by r
if r<0 then it is decay
i
P=initial amount
so
given
f(x)=5500(1.65)^t
f(x)=5500(1+0.65)^t
0.65>0 so it is growing by 65%
Answer:
3/10
Step-by-step explanation:
Percent is basically the number over 100.
In this case, 30% is equal to 30/100, which can be simplified to 3/10.
Thus, the answer is 3/10 of the audience.
Hope this helps!