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kobusy [5.1K]
3 years ago
14

a used truck for $4,500 he made an agreement with the dealer to put $1,500 and make payments of 350 for the next 10 months that

extra costs paid by taking this bill bill is equivalent to what actual yearly rate of interest
Mathematics
1 answer:
Aneli [31]3 years ago
3 0
Ist amount paid = $1500
Making $350 for 10 months = 10*350 = $3500
Total amount paid  = 1500 + 3500 = 5000
So an amount of $5000 was paid to cover the cost of $4500 within the ten month period.
I = PRT
Interest, I = 5000 - 4500 = 500Time, t = 10 months = 10/12 = (5/6) year.Principal P = 4500
R = I /(PT)  R = 500 / (4500*5/6)
R = (500*6) / (4500*5)
R = 0.1333..
R ≈ 13.33 %  per annum.

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Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
DENIUS [597]

Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

5 0
4 years ago
Find the slope and y-intercept of 3y - 4x = 39
Alexus [3.1K]
<h2>Greetings!</h2><h3>Firstly, the slope is found by rearranging the formula:</h3>

3y = 4x + 39

y = \frac{4x}{3} + \frac{39}{3}

When x is 0, y = 0(x) +  \frac{39}{3}, so the y intercept is \frac{39}{3}

<h3>Next, the slope is simply the number in front of the x, </h3>

So  \frac{4x}{3} can be rearranged to  \frac{4}{3}x, so the slope would be \frac{4}{3}.


<h2>Hope this helps!</h2>
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3 years ago
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What is 7/8 divided by 11/16
Igoryamba
1.27 repeated is the answer
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Answer:

peanut butter cookies:8

sugar cookies:2

chocolate chip cookies:5

ratio: 4:1:2.5

Step-by-step explanation:

x=peanut butter cookies

y=sugar cookies

a=chocolate chip cookies

40=2x+3y+3.6a

15=x+y+a

x=a+3

15=(a+3)+y+a

y=12-2a

40=2(a+3)+3(12-2a)+3.6a

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41.1 is the answer to this question.
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