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3 years ago

Hector invests $800 in an account that earns 6.94% annual interest compounded

Mathematics

2 answers:

lapo4ka [179]3 years ago

8 0

Answer:

add all together then subtract by yhe original numbers so in this on it will be 4

koban [17]3 years ago

6 0

The answer to the problem is 4 because that is it rounded

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Solve the system <br> 2x+2y+z=-2 <br> -x-2y+2z=-5<br> 2x+4y+z=0

drek231 [11]

The values of (x,y,z) are (3,-1,-2) , if the given are equations $2x+2y+z=- 2$ , $-x-2y+2z=-5$ and $2x+4y+z=0$ .

Step-by-step explanation:

The given is,

$2x+2y+z=- 2$ .......................................(1)

$-x-2y+2z=-5$ ......................................(2)

$2x+4y+z=0$ .........................................(3)

Step:1

Equation (2) is multiplied by -1 ( Eqn(2) × -1 )

$x+2y-2z=5$ .............................(4)

Subtract the equation (1) and (4)

$2x+2y+z=- 2$

$x+2y-2z=5$

( - )

$(2x-x)+(2y-2y)+(z+2z)=(-2-5)$

$x+3z=-7$ ......................(5)

Step:2

Equation (2) is multiplied by -2 ( Eqn(2) × -2)

$2x+4y-4z=10$ ........................(6)

Subtract equation (6) and (3),

$2x+4y-4z=10$

$2x+4y+z=0$

( - )

$(2x-2x)+(4y-4y)+(-4z-z)= (10-0)$

$-5z=10$

$z = - \frac{10}{5}$

z = -2

From the equation (5),

$x+3z=-7$

$x+(3)(-2)=-7$

$x = -7+6$

x = -1

From equation (1),

$2x+2y+z=- 2$

Substitute x and z values,

$(2)(-1)+2y+(-2)=-2$

$2y - 4=2$

$2y=4-2$

$2y=2$

$y=\frac{2}{2}$

y = 1

Step:3

Check for solution,

$-x-2y+2z=-5$

Substitute x,y and z values,

$-(-1)-(2)(1)+(2)(-2)=-5$

$1-2-4=-5$

-5 = -5

Result:

The values of (x,y,z) are (3,-1,-2) , if the given are equations $2x+2y+z=- 2$ , $-x-2y+2z=-5$ and $2x+4y+z=0$ .

8 0

4 years ago

Given a parent function y=x^3, write a function with the following transformations: right 3, up 2, dilated by a factor of 1/2.

ser-zykov [4K]

Answer:

h(x) = (1/2)(x - 3)^2 + 2

Step-by-step explanation:

Start with y = x^3.

Multiply x^3 by the dilation factor (1/2); this compresses the graph vertically.

Next, replace the x in x^3 with (x - 3). This shifts the graph 3 units to the right.

Last, starting with your g(x) = (1/2)(x - 3)^2, add 2

You will end up with h(x) = (1/2)(x - 3)^2 + 2.

7 0

3 years ago

i buy 3 apples to 4 bananas. If I buy 6 more bananas than apples, how many total pieces of fruit did I buy?

ASHA 777 [7]

Answer:

Step-by-step explanation:

The difference in ratio units is 1, which corresponds to a difference in fruit count of 6. So the total of 7 ratio units must represent 7×6 = 42 pieces of fruit.

8 0

2 years ago

Please help me with this problem please

11111nata11111 [884]

9514 1404 393

Answer:

shortest: 11 1/8 in
longest: 11 3/8 in

Step-by-step explanation:

It should be no surprise that the shortest allowable length is the nominal length less the full allowed tolerance:

11 1/4 - 1/8 = 11 1/8 . . . inches

Likewise, the longest allowable length is the nominal length plus the maximum tolerance:

11 1/4 + 1/8 = 11 3/8 . . . inches

_____

Of course, you know that 1/4 = 2/8, so adding or subtracting 1/8 gives the fractions shown above.

5 0

3 years ago

Find -3/7 divided by -15/1

posledela

Answer:

1/35

Step-by-step explanation:

-3/7 / -15/1 =

3/7 * 1/15 =

3 / 105 =

1/35

6 0

3 years ago