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3 years ago

Emmet deposited $90 in a savings account earning 10% interest, compounded annually.

Mathematics

2 answers:

Sergio039 [100]3 years ago

7 0

29.79 sorry if I’m wrong doe

Tju [1.3M]3 years ago

6 0

Answer:

29.79

Step-by-step explanation:

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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

Is 0.99 greater than or less than 0.1

Katena32 [7]

0.99 > 0.1 Because 0.1,0.2,0.3 ect

6 0

4 years ago

Read 2 more answers

Which expression is equivalent to the following complex fraction?

Bingel [31]

Answer:

Step-by-step explanation:

Simplify the numerator and denominator of the fraction, that is

$\frac{2}{x}$ - $\frac{4}{y}$

Multiply the numerator/denominator of the first fraction by y

Multiply the numerator/denominator of the second fraction by x

$\frac{2y}{xy}$ - $\frac{4x}{xy}$

= $\frac{2y-4x}{xy}$

Similarly

$\frac{-5}{y}$ + $\frac{3}{x}$

Multiply numerator/denominator of the first fraction by x

Multiply numerator/denominator of second fraction by y

$\frac{-5x}{xy}$ + $\frac{3y}{xy}$

= $\frac{3y-5x}{xy}$

To perform the division

leave the fraction on the numerator

Change division to multiplication

Turn the fraction on the denominator upside down, thus

$\frac{2y-4x}{xy}$ × $\frac{xy}{3y-5x}$

Cancel xy on the numerator and denominator

= $\frac{2y-4x}{3y-5x}$ ← factor 2 out of each term on the numerator

= $\frac{2(y-2x)}{3y-5x}$ → B

7 0

4 years ago

Researchers are assessing a new screening tool (blood-based assay) for early identification of prostate cancer. The test is run

natima [27]

Answer: B. Accurate but not reliable

Step-by-step explanation:

An experiment is said to be "reliable" when it consistently gives the same answers when done repeatedly, when the experiment is carried out several times it gives the same result each times.

An experiment is said to be " accurate "

when it produce a correct result using the right procedure and method .

In this case the research assessing a new screening tools for early identification of prostate cancer, test result is "accurate but not reliable ", since the consistent test result was not accurate.

7 0

4 years ago

There are two ways of adding two square numbers to make 65. Write a different square number in each box. [ ] + [ ].

e-lub [12.9K]

I found those two possibilities, hopefully they're correct:

8² + 1² = 8 * 8 + 1 * 1 = 64 + 1 = 65
7² + 4² = 7 * 7 + 4 * 4 = 49 + 16 = 65

I hope it will help you :)

5 0

3 years ago

Read 2 more answers