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Serjik [45]
3 years ago
7

Which word correctly describes the pentagon?

Mathematics
2 answers:
Lina20 [59]3 years ago
7 0
Equilateral correctly describes pentagon
Levart [38]3 years ago
3 0
The answer is a EQUILATERAL.
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PLEASE HELP !!!!
Bess [88]

Answer:

About 31 years

Step-by-step explanation:

Given data

Principal= $3500

Rate=  4.75%

Final amount= $15,000

Time=??

The expression for time on compound interest is

Calculate time, solve for t

t = ln(A/P) / r

substitute

Calculate time, solve for t

t = ln(15000/3500) / 0.0475

t= ln(4.2857)/ 0.0475

t= 1.4552/0.0475

t= 30.63 years

Hence it will take about 31 years

4 0
3 years ago
Find all points on the portion of the plane x+y+z=5 in the first octant at which f(x, y, z) = xy2z2 has a maximum value.
irina1246 [14]
Lagrange multipliers:

L(x,y,z,\lambda)=xy^2z^2+\lambda(x+y+z-5)

L_x=y^2z^2+\lambda=0
L_y=2xyz^2+\lambda=0
L_z=2xy^2z+\lambda=0
L_\lambda=x+y+z-5=0

\lambda=-y^2z^2=-2xyz^2=-2xy^2z

-y^2z^2=-2xyz^2\implies y=2x (if y,z\neq0)

-y^2z^2=-2xy^2z\implies z=2x (if y,z\neq0)

-2xyz^2=-2xy^2z\implies z=y (if x,y,z\neq0)

In the first octant, we assume x,y,z>0, so we can ignore the caveats above. Now,

x+y+z=5\iff x+2x+2x=5x=5\implies x=1\implies y=z=2

so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of f(1,2,2)=16.

We also need to check the boundary of the region, i.e. the intersection of x+y+z=5 with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force f(x,y,z)=0, so the point we found is the only extremum.
4 0
3 years ago
What is 3x²+5x+25 when x equals 3
Ksivusya [100]

Answer: 67

Step-by-step explanation:

3x^2 + 5x + 25

x = 3

3(3)^2 + 5(3) + 25

3^2 = 9

3(9) + 5(3) + 25

3 * 9 = 27

27 + 5(3) + 25

5 * 3 = 15

27 + 15 + 25

27 + 15 = 42

42 + 25 = 67

8 0
3 years ago
Read 2 more answers
Find the value of x and y
velikii [3]

Answer:

2x + 20 = 3x-10

2x -3x = -20-10

-x = -30

x= 30

Checking part:

2x+20 = 2(30) +20 = 60+20 = 80

3x-10 = 3(30) - 10 = 90-10 = 80

Hence, the final answer is x = 30.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is 692,040 rounded to nearest hundred
Leviafan [203]

it would be 692,000 even though it may look odd since the place holder for 100 is a 0

8 0
3 years ago
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