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LuckyWell [14K]

3 years ago

13

Solve the system by elimination... Algebra help?

1 answer:

mote1985 [20]3 years ago

4 0

Equation 1 minus equation 2 to eliminate x: 3y+2z=3
equation 1 plus equation 3 to eliminate x: 5y+6z=5

now focus on these new system of equation, multiply 3y+2z=3 by 3:
9y+6z=9
subtract 5y+6z=5 from 9y+6z=9 to eliminate z: 4y=5, y=1
Plug y=1 into 3y+2z=3 to find z: z=0
Plug y=1, z=0 into any of the three equations to find x. I'll use equation 1:
-2x+2+0=0, x=1

so the solution is x=1, y=1, z=0

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You want $5000 4 years from nowfor a down payment for a car. How much money must be deposited monetly into an account earning 4.

timama [110]

Answer:

$95.5090 must be deposited monthly

Step-by-step explanation:

From the information given:

The annual interest rate (r) = 4.2% = 0.042

Let assume that an amount Y is deposited, then after one month, it will increase to:

$Y ( 1+ \dfrac{0.042}{12})$

The total amount after 4 years will be:

$= Y ( 1+ \dfrac{0.042}{12})^{48}+Y ( 1+ \dfrac{0.042}{12})^{47} +Y ( 1+ \dfrac{0.042}{12})^{46} +...+ Y ( 1+ \dfrac{0.042}{12})$

$= Y ( 1.0035)^{48}+Y ( 1.0035)^{47} +Y( 1.0035)^{46} +...+ Y( 1.0035)$

Using the sum of a geometric progression:

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{(1.0035-1)}$

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035}$

The above amount is then equal to $5000

i.e

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035} = 5000$

$Y = \dfrac{5000\times 0.0035}{(1.0035)(1.0035^{48}-1)} \\ \\ \mathbf{Y = \$95.5090}$

8 0

4 years ago

What is the solution to the equation -2(1+5a)=-6(a+3) ?

Lilit [14]

The solution is a=4

-2(1+5a)=-6(a+3)

-2-10a=-6a-18

+18 +18

16-10a=-6a

+10a +10a

16=4a

divide by 4

4=a

7 0

3 years ago

How would the mean change if the number 52 replaced the number 12 in the set?

m_a_m_a [10]

Answer:

increase

Step-by-step explanation:

First, we need to find the mean of the given data set without any change.

10 + 61 + 10 + 44 + 21 + 79 + 27 + 12 = 264

264 ÷ 8 = <u>33</u>

Now that we have the mean, we can find the mean of the data set with the change of 52.

10 + 61 + 10 + 44 + 21 + 79 + 27 + 52 = 304

304 ÷ 8 = <u>38</u>

<u />

From this, we can see that the mean has increased with the change of 12 to 52. Thus, that's the correct option.

hope this helps!

6 0

3 years ago

A student says that the graph of the equation y=3(x+8) is the same as the graph of y=3x, only translated upwards by 8 units. do

tino4ka555 [31]

Answer:

agree

Step-by-step explanation:

because they have the same slope of 3. so they are parallel with different y intercepts

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Answer:

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