Answer:
10100=15700(1-0.075)^x
10100=15700(0.925)^x
divide both sides by 15700
0.925^x=101/157
convert decimal
(37/40)^x=101/157
take the log
x= log 37/40 (101/157)
x= 5.65824
Answer:
The simplified form of expression<u> </u>(-2 - 8x) + (-4x - 10) is
-12(x + 1)
Step-by-step explanation:
It is given an expression (-2 - 8x) + (-4x - 10)
<u>To find the simplified expression of (-2 - 8x) + (-4x - 10)</u>
Let expression is given by
(-2 - 8x) + (-4x - 10) = -2 - 8x -4x -10
= -2 -10 -4x -8x
= -12 -12x
-12(x + 1) (since -12 is common in both terms)
Therefore simplified form is -12(x + 1)
He lived 9 months in Portugal and 5 months in Brazil. This is because 130*9 + 150*5 = 1920.
Answer:
if the line keeps going and theynever touch
Step-by-step explanation:
Let Jean's speed while running = x mph
Then Jean's speed while riding will be = x+9 mph
Distance covered by running = 8 miles
Distance covered by riding = 11 miles
Total time taken to complete the race = 1.5 hours
As, 
So, time for running= 
And time for riding= 
Equation becomes:

Now, multiply every term by 2x(x+9) to clear denominators:

Simplifying it we get

Solve the quadratic equation using formula

putting a=3 , b= -11, c= -144
we get (x - 9)(3x + 16) = 0
where x=9 and x=
Neglect the negative answer as speed cannot be negative, so x = 9 mph
Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph