Answer:
x = 28
Step-by-step explanation:
If the quadrilaterals are similar, there is a proportionality among their sides:
The top side in the large figure (70) is to the top side in the small figure (10) in the same ratio as the left side (x) in the large figure is to the left side in the small figure (4). This in math terms is written as:

We can then solve for the unknown "x" by multiplying both sides by 4:

Answer: The answer is 3573.64
Step-by-step explanation:
Exponential Functions:
y=ab^x
a=starting value = 19000
r=rate = 11.25%=0.1125
Exponential Decay:
b=1-r=1-0.1125=0.8875
Write Exponential Function:
y=19000(0.8875)^x
Plug in time for x:
y=19000(0.8875)^14
y= 3573.6388855
Evaluate
:
y≈3573.64
Answer:
x≥7
Step-by-step explanation:
6(x-3)/8≥3
Multiply each side by 8/6
8/6*6(x-3)/8≥3*8/6
(x-3)≥4
Add 3 to each side
x-3+3≥4+3
x≥7
you're absolutely correct.
each system is sold for $2150, that includes cost + markup, namely the markup is the surplus amount otherwise called "profit".
they sold 12 of those, 2150 * 12 = 25800
they had $4824.36 in profits from it, so if we subtract that from the sale price, we'll be left with the cost of all 12 systems
25800 - 4824.36 = 20975.64
that's the cost for all 12 systems sold, how many times does 12 go into 20975.64? 20975.64 ÷ 12 = 1747.97.
Answer:
8 hours 48 mins
Step-by-step explanation:
h m
5:15
+3:33
--------------
8:48
or
5 hours + 3 hours =8 hours,
15 mins + 33 mins = 48 mins
Therefore, it's 8 hours 48 mins.