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baherus [9]
4 years ago
10

What is the solution for the system of equations?

Mathematics
1 answer:
Nata [24]4 years ago
6 0
Your solution set would be x=7 and y=6. all you have to do is put these equations in slope intercept form, and then graph them on a graph. put a dot where the line intersects on two numbers.

the two equations in slope intercept form would be:
y= -2x+20 and
y= 6/5x-12/5
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madreJ [45]
0.7 repeating is the answer
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A man invested $10,000 in the bank. if the account pays 5% pa interest compounded monthly, how long would take for the man to ac
sesenic [268]

Answer:

<u>3.63 years</u>

Step-by-step explanation:

The formula would be of compound growth, which is:

F=P(1+\frac{r}{n})^{nt}

Where

F is future amount (with interest)

P is initial deposit

r is rate of interest in a year

n is number of compounding in 1 year

t is the time in years

Given in this problem:

To accumulate 2000 interest means the future amount will be:

10000+2000 = 12,000

Present amount is 10,000

r is the annual interest, which is 5% or 0.05

compounded monthly means, 12 times a year, so n = 12

t is time in years, which we need to find

Substituting, we have:

F=P(1+\frac{r}{n})^{nt}\\12000=10000(1+\frac{0.05}{12})^{12t}\\1.2=(1.0042)^{12t}\\Ln(1.2)=Ln((1.0042)^{12t})\\Ln(1.2)=12t*Ln(1.0042)\\12t=\frac{Ln(1.2)}{Ln(1.0042)}\\12t=43.50099\\t=3.63

The time it will take is around <u>3.63 years</u>

8 0
3 years ago
Rewrite 4+2/3x=3/4 so it does not have fractions.
Dahasolnce [82]

Answer:

48 + 8x = 9

Step-by-step explanation:

4 + \frac{2}{3} x = \frac{3}{4}

multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions

48 + 8x = 9

6 0
2 years ago
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netineya [11]
For the question mark, we can insert a variable considering it is an unknown number.

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5 0
3 years ago
What is an equation of the line that passes through the points (6,8) and (-3,2)?
Orlov [11]

Answer:

y=2/3x+4

Step-by-step explanation:

4 0
3 years ago
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