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Talja [164]
3 years ago
15

Determine whether the number is a solution of the equation.

Mathematics
1 answer:
aev [14]3 years ago
7 0
Answer:
Yes. -4 is the solution to the equation.
Explanation:
2 + 4(-4) = - 14
2 + (-16) = - 14
2 - 16 = - 14
- 14 = - 14
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if 5000000 invested at 4% interest compounded continuously how much will the investment be worth in 30 years
umka21 [38]
For this you use A=Pe^(rt)
A=furutre amount
P=present amount
e=natural base
r=rate in decimal
t=times in years

A=?
P=5000000
r=0.04
t=30

A=5,000,000e^(0.04*30)
A=5,000,000e^(1.2)
A=16600584.613683
8 0
3 years ago
Read 2 more answers
At what point on the paraboloid y = x2 + z2 is the tangent plane parallel to the plane 3x + 2y + 7z = 2? (if an answer does not
Nikitich [7]
If f(x, y, z) = c represent a family of surfaces for different values of the constant c. The gradient of the function f defined as \nabla f is a vector normal to the surface f(x, y, z) = c.

Given <span>the paraboloid

y = x^2 + z^2.

We can rewrite it as a scalar value function f as follows:

f(x,y,z)=x^2-y+z^2=0

The normal to the </span><span>paraboloid at any point is given by:

\nabla f= i\frac{\partial}{\partial x}(x^2-y+z^2) - j\frac{\partial}{\partial y}(x^2-y+z^2) + k\frac{\partial}{\partial z}(x^2-y+z^2) \\  \\ =2xi-j+2zk

Also, the normal to the given plane 3x + 2y + 7z = 2 is given by:

3i+2j+7k

Equating the two normal vectors, we have:
</span>
2x=3\Rightarrow x= \frac{3}{2}  \\  \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}

Since, -1 = 2 is not possible, therefore there exist no such point <span>on the paraboloid y = x^2 + z^2 such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2</span>.
4 0
3 years ago
At a local Brownsville play production, 420 tickets were sold. The ticket
Dahasolnce [82]

Answer:

jsdcjdvnjkdnjnjdanskcbanknqnjfkrbgiyrwhgondfkv

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!!
olasank [31]

Answer:

A. (0,7)

B. -1.25

C. Negative

D. I started at (0,7), then plotted the second point by moving the point down 5 and right 4.

Step-by-step explanation:

Look at the equation more carefully.

I hope this helps :)

5 0
3 years ago
Read 2 more answers
In the following proportion, what does y equal?
netineya [11]

Y/4 = 39/30

Cross multiply:

30y = (4 x 39)

30y = 156

Divide both sides by 30:

Y = 156/30

Y = 5.2

The answer is C. 5.2

5 0
3 years ago
Read 2 more answers
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