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Juliette [100K]
3 years ago
11

Guys, determine the equation of each line, given the information below:

Mathematics
1 answer:
KIM [24]3 years ago
3 0

Answer:

The equation is;

4y = 7x + 2

Step-by-step explanation:

The general equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

m = (y2-y1)/(x2-x1)

(x1,y1) = (2,3)

(x2,y2) = (-2,-4)

m = (-4-3)/(-2-2) = -7/-4 = 7/4

So we have the equation as;

y = 7x/4 + b

To

get the value of b, we will substitute any of the points (let us use 2,3)

We simply substitute 2 for x and 3 for y

We have this as:

3= 7(2)/4 + b

3 = 7/2 + b

b = 3-7/2 = -1/2

So we have the equation as;

y = 7x/4 + 1/2

multiply through by 4

4y = 7x + 2

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What is the cost of a typewriter that is 18% off the list price of $375 with a sales tax of 5% that must be paid
julsineya [31]

Answer:

The cost is $322.88.

Step-by-step explanation:

18% off the list price of $375

Before the sales tax, you pay 100% - 18% = 82% = 0.82 of 375, so:

0.82*375 = 307.5

5% sales tax:

100% + 5% = 105% = 1.05 of 307.5. So

307.5*1.05 = 322.88

The cost is $322.88.

8 0
2 years ago
If Mary Alice buys the car for $35,000 and pays 20% down, how much will she finance? If she finances this balance for 6 years at
RUDIKE [14]

Answer:monthly is 598.90 total is 43120

Step-by-step explanation:

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2 years ago
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lora16 [44]

Answer:

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5 0
2 years ago
How long would it take you to double your money is the bank pays 3.6% interest, compounded
Lapatulllka [165]

Answer:

t=19.25\ years

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=?\ years\\P=x\\r=3.6\%=3.6/100=0.036\\A=2x  

substitute in the formula above

2x=x(e)^{0.036t}  

solve for t

simplify

2=(e)^{0.036t}  

Apply ln both sides

ln(2)=ln[(e)^{0.036t}]

Applying property of exponents

ln(2)=[0.036t]ln(e)

Remember that ln(e) =1

ln(2)=[0.036t]

t=ln(2)/[0.036]

t=19.25\ years

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3 years ago
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Phantasy [73]

Answer:

(0+3,1) (3+3,0) (3+3x4)

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