Answer: False
Explanation: 4(-4) + (-9)=-36, 4•-4= -16 - 9= -25 not -36
Answer:
390
Step-by-step explanation:
The formula of sum of arithmetic sequence is 
The number of this series are 2, 4, 6, 8, 10, 12, . . . . , 60.
The first term ( a ) = 2
The 30th even number is 60
The Tn is the term of the sequence
So the equation is
30/2 x ( 2 + 
)
= 60
30/2 x ( 2 + 60 )
30/2 x (62)
1860/2
390
Answer:
$11654 approx
Step-by-step explanation:
Given data
Principal amount = 22300 dollars
Rate= 10.25%
time= 6 years
The expression for the decrease is given as
A=P(1-r)^t-----------Note the negative sign is because of the decrease
substitute
A= 22300(1-0.1025)^6
A=22300(0.8975)^6
A=22300*0.5226
A=$11653.98
Hence the new value is $11654 approx
The computation shows that the placw on the hill where the cannonball land is 3.75m.
<h3>How to illustrate the information?</h3>
To find where on the hill the cannonball lands
So 0.15x = 2 + 0.12x - 0.002x²
Taking the LHS expression to the right and rearranging we have:
-0.002x² + 0.12x -.0.15x + 2 = 0.
So we have -0.002x²- 0.03x + 2 = 0
I'll multiply through by -1 so we have
0.002x² + 0.03x -2 = 0.
This is a quadratic equation with two solutions x1 = 25 and x2 = -40 since x cannot be negative x = 25.
The second solution y = 0.15 * 25 = 3.75
Learn more about computations on:
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Complete question:
The flight of a cannonball toward a hill is described by the parabola y = 2 + 0.12x - 0.002x 2 . the hill slopes upward along a path given by y = 0.15x. where on the hill does the cannonball land?
Answer:
4k^3 - k^2 - 2k
Step-by-step explanation:
-k * -4k^2 = 4k^3
-k * k = -k^2
-k * 2 = -2k
4k^3 - k^2 - 2k
