The intercepts of the given equations is as given in the task content is; Choice B; (15,0,0),(0,10,0) ,(0,0,5).
<h3>What are the intercepts of the equation as give in the task content?</h3>
The x-intercept of the given equation can be determined by setting values of y and z to zero.
The y-intercept can be determined by setting x and z to zero.
While the z-intercept can be determined by setting x and y to zero.
Consequently, the X-intercept of the given equations is; 2x +3(0) = 30; x = 15.
Therefore, we have; (15,0,0)
The y-intercept is therefore; 2(0) +3y = 30; 3y = 30; y = 30/3 = 10 and. we have; (0,15,0)
And hence, the z-intercept is; z = 30/6 = 5.
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Answer:
The person must invest the money in the bank for 18 years to reach $19600, if a person invests 9000 dollars in a bank and the bank pays 4.25% interest compounded daily.
Step-by-step explanation:
Answer:
43.75feet
Step-by-step explanation:
Given the height of the tennis ball expressed as;
h(t) = -15t^2 + 45t + 10
At maximum height, the velocity of the ball is zero
v = dh/dt
dh/dt = -30t + 45
Since dh/dt = 0, hence;
0 = -30t + 45
30t = 45
t = 45/30
t = 3/2
t = 1.5secs
Substitute t = 1.5 into the expression given
h(1.5) = -15(1.5)^2 + 45(1.5) + 10
h(1.5) = -15(2.25)+67.5+10
h(1.5) = -33.75+77.5
h(1.5) = 43.75feet
Hence the maximum height of the ball is 43.75feet
Answer:

Step-by-step explanation:
![S= \frac{n}{2 [2a + (n - 1)d]}](https://tex.z-dn.net/?f=S%3D%20%5Cfrac%7Bn%7D%7B2%20%5B2a%20%2B%20%28n%20-%201%29d%5D%7D)
Simplifying the fraction by multiplying d into the (n-1) term,
![s=\frac{n}{2 [2a + (n - 1)d] } = \frac{n}{2[2a + dn - d] }](https://tex.z-dn.net/?f=s%3D%5Cfrac%7Bn%7D%7B2%20%5B2a%20%2B%20%28n%20-%201%29d%5D%20%7D%20%3D%20%5Cfrac%7Bn%7D%7B2%5B2a%20%2B%20dn%20-%20d%5D%20%7D)
Simplifying the fraction by multiplying 2 throughout,

Multiply
on both sides

Cancel the
on the right hand side

Multiply s to the terms,

Move
to the right hand side by subtracting
on both sides

On the right hand side of the equation, take out 

Divide Left hand side by
,
