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2 years ago

Solve, using the substitution method.

Mathematics

1 answer:

nydimaria [60]2 years ago

8 0

Answer:

[3m - n = 2]

-3m - n + n = 2 + n

3m - n + 2

-3m/3 = n+2/3

m=1/3 n+2/3

Answer:

m=1/3n + 2/3

[2m + n = - 7]

-Let's solve for m.

2m+n=−7

Step 1: Add -n to both sides.

2m+n+−n=−7+−n

2m=−n−7

Step 2: Divide both sides by 2.

2m/2= −n−7/2

m= −1/2n + −7/2

Answer:

m= −1/2n + −7/2

Now It's Your Turn!!

Step-by-step explanation:

(Hope's it's Help)

[Keeps Safe]

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Area and circumference of a circle (picture provided)

Wittaler [7]

Answer:

1. 3.1415

2. 3.141

3. 3.14

4. 3.14

5. 3.14

Step-by-step explanation:

they tell you the ratio is c/d so for each answer you do c/d

62.83/20 = 3.1415

31.41/10 = 3.141

18.84/6 = 3.14

6.28/2 = 3.14

3.14/1 = 3.14

each are basically pi.

6 0

4 years ago

117. Sami opens an account and deposits $100 into it at the end of each month. The account earns 2% per year compounded monthly.

Sergio [31]

Answer:

The explicit function is:

$S_{n} =Pz^{n-1} +C(\frac{z^{n-1}-1}{z-1} )$

where

$z=(1+\frac{0.02}{12})$

and we calculate S12:

$S_{12} = $1211.06$

Step-by-step explanation:

Expanding a few steps of the compound interest:

$S_{1}=100\\S_{2}=S_{1}(1+\frac{0.02}{12})+100\\S_{3}=S_{2}(1+\frac{0.02}{12})+100\\...\\S_{n}=S_{n-1}(1+\frac{0.02}{12})+100$

We can write:

$(1+\frac{0.02}{12})=z$

$100=C$ for deposits

Then, expanding the previous equations would yield:

$S_{1}=C\\S_{2}=Cz + C\\S_{3}=Cz^{2}+Cz + C\\S_{n}=Cz^{n-1} +...+Cz+C$

This is a geometric series form, which can be simplified to:

$S_{n}=C(\frac{z^{n}-1}{z-1} )$

plugin in the values for the 12 month gives:

$S_{12}=100(\frac{(1+\frac{0.02}{12})^{12} -1}{\frac{0.02}{12}})=1211.0613$

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3 years ago

Find LCD of 1/3 and 3/4

Snezhnost [94]

12, this is because 3 *4 =12 and those are your denominators.

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3 years ago

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b) Chill Pill Pharmaceuticals is expecting a growth rate of 14% for the next two years due to its new drug. Thereafter it should

Wittaler [7]

Answer:

0.20

Step-by-step explanation:

8 0

3 years ago

If a 30 second Super Bowl commercial costs 2.4 million. What would it cost for an ad that runs for 1 and a quarter minutes?

mojhsa [17]

Answer:

6 million

Step-by-step explanation:

1 min and quarter is equal to 75 seconds
use cross multiplication

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3 years ago

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