Answer:
1312842
Step-by-step explanation:
The year is 2019. 2035 - 2019 = 16 years
The equation for growth is:
initial_amount * (( 1 + percent_in_decimal_form) ^ years)
So now substitute numbers in the equation.
884363 * ((1 + 0.025) ^ 16) = 1312841.8 = 1312842
Going by the diagram, you just read the value of x. The value of y requires a little bit of calculation.
Step One
Find x
You just read the value.
x is the same as the 70 degree angle. That comes about from parallel lines.
x = 70 degrees. <<<< answer
Step Two
Find y
All triangles have 180 degrees.
So ABC has 180 degrees.
70 + 50 + <ACB = 180 Combine like terms
120 + <ACB = 180 Subtract 120 from both sides
<ACB = 180 - 120
<ACB = 60
y = <ACB
y = 60 degrees. <<<< Answer.
Answer: The second one
Step-by-step explanation:
D2x/dt2=-g (which we'll approximate as a constant -32ft/s^2)
d2x/dt2=-32 integrating we get:
dx/dt=-32t+C, where C is the initial velocity which we are told is 128ft/s so
dx/dt=-32t+128, integrating again we get:
h(t)=-16t^2+128t+C, where C is the initial height of the object..which we are told is 136 ft so
h(t)=-16t^2+128t+136 if we factor the first two terms we get:
h=-16(t^2-8t)+136