Martinez puts $500 in his piggy bank. He adds $40 a month. How much money willMartinez have at the end of two years?

Answers

Answer 1
Answer:

Answer: $1460

Step-by-step explanation:

He will add $40 for 24 months since there are 24 months in two years. 40 x 24 = 960 so you should add 960 and the original amount of 500. This ends up with $1460

Answer 2
Answer:

Answer:

$1460

Step-by-step explanation:

So he already has $500 in his piggy.

There are 24 months in 2 years.

So, we would multiply 24 by $40

That would be $960

Add the $500 to $960.

$1460

Hope I helped :)

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The volume of a cube is 1728 cubic units. what is the length of one side?

Answers

12 is the length of one side of cube.

What is cube?

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices

According to question, the volume of a cube is 1728 cubic units.

We have to find the length of the cube.

Volume=1728 cubic units

lenght^(3) =12^(3)

length =12units

Hence, 12 is the length of one side of cube.

Learn more about  cube here:

brainly.com/question/21270685?referrer=searchResults

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L × W × H = 1728
L = W = H
I got 12 because 12 x 12 x 12 = 1728 I'm absolutely sure :)

-3/5x=15 (solve the equation)

Answers

Answer:

x=-1/25

Step-by-step explanation:

-3/5x=15

-3/5x(5x)=15(5x)

-3=75x

75x=-3

x=-3÷75

=-3/75

=-1/25

T/9=35/6 what is this portion

Answers

Hello,this is your answer. :)

Solve the equation. x + 1/6 = 6 A. x = -6 1/6 B. x = -5 5/6 C. x = 5 5/6 D. x = 6 1/6

Answers

The answer is C because 5/6+1/6=1. Then you do 1+5=6. And 6 is what you wanted to get. Hope this helped.

Answer:

x = 5 5/6

Step-by-step explanation:

The goal in algebra is always to isolate the variable, so that its value can be determined.

Step 1: Subtract 1/6

x = 5 5/6

Step 2: Check

5 5/6 + 1/6 = 6

6 = 6 ✔

Step 3: Answer

x = 5 5/6

I'm always happy to help :)

How to find the equation of a hyperbola when given the vertices and foci

Answers

Step-by-step explanation:

The vertices and foci are on the x-axis. Thus, the equation for the hyperbola will have the form x2a2−y2b2=1 x 2 a 2 − y 2 b 2 = 1 . The vertices are (±6,0) ( ± 6 , 0 ) , so a=6 a = 6 and a2=36 a 2 = 36 . The foci are (±2√10,0) ( ± 2 10 , 0 ) , so c=2√10 c = 2 10 and c2=40 c 2 = 40 .

Find the eccentricity of 8x^2 + 6y^2 - 32x + 24y + 8 = 0

Answers

1) 
x 2 + y 2 - 10x - 8y + 1 = 0. 
(x^2-10x+25-25) +(y^2-8y+16-16) + 1 = 0 
(x-5)^2 -25 + (y-4)^2 -16 + 1 = 0 
(x-5)^2+(y-4)^2 = 40 

center (5,4); radius = sqrt(40) 

2) 
8x^2+ 6y 2 - 32x + 24y + 8 = 0. 
8(x^2-4x+4-4) +6(y^2+4y+4-4) +8=0 
8(x-2)^2 -32 + 6(y+2)^2 -24 + 8 = 0 
8(x-2)^2+6(y+2)^2 = 48 
divide throughout by 48 
(x-2)^2 /6 + (y+2)^2 /8 = 1 

Ellipse with center (2,-2) 
a=sqrt(6) 
b=sqrt(8) 
c^2= 8-6 = 2 
c= sqrt(2) 
eccentricity = c/a = sqrt(2)/sqrt(6) 

3) 
y=x^2-12x+36-36 
y=(x-6)^2 - 36 
Vertex is (6,-36) 

(x-h)^2=4p(y-k) 
(x-6)^2 = 4p(y+36) 
4p=1 
p=1/4 
focus : (h, k+p) = (6, -36+1/4) = (6, -143/4) 

4) 
focus lies on a vertical line, so the major axis is parallel to the y-axis 
(x-h)^2/a^2 +(y-b)^2/b^2 = 1 
h=-2 
k=0 
(x+2)^2/a^2+y^2/b^2 = 1 
2b=20 
b=10 
b^2=100 
(x+2)^2/a^2 +y^2/100 = 1 


e=c/a 
c/a = 4/5 
c=(4/5) a 
c^2 = 16/25 a^2 
c^2 = b^2-a^2 
(16/25) a^2 = 100 - a^2 
a^2(16/25+1) = 100 
41a^2/25 = 100 
a^2=2500/41 
a= sqrt(2500/41) 

(x+2)^2/a^2 +y^2/100 = 1 
(x+2)^2 /[2500/41] + y^2/100 = 1