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3 years ago

At a competition with 6 runners, 2 medals are awarded for first and second

Mathematics

1 answer:

insens350 [35]3 years ago

3 0

Answer:

30 ways

Step-by-step explanation:

The first medal can be awarded in 6 different ways since any of the runners could have it. Once the first medal is awarded, the second medal can only be given to any of the 5 runners available.

So there are 6x5=30 different ways to award the medals

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A square piece of fabric has an area of 595 cm2.

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2 years ago

The Taylors have purchased a $320,000 house. They made an initial down payment of $20,000 and secured a mortgage with interest c

gogolik [260]

Part A: monthly payment

Initial loan after downpayment,
P = 320000-20000= 300,000

Interest rate per month,
i = 0.06/12= 0.005

Number of periods,
n = 30*12= 360

Monthly payment,
A = P*(i*(1+i)^n)/((1+i)^n-1)
= 300000(0.005(1.005)^360)/(1.005^360-1)
= 1798.65

Part B: Equities
Equity after y years
E(y) = what they have paid after deduction of interest
= Future value of monthly payments - cumulated interest of net loan
= A((1+i)^y-1)/i - P((1+i)^y-1)
= 1798.65(1.005^y-1)/.005 - 300000(1.005^y-1)
= (1798.65/.005-300000)(1.005^y-1)

Equity E
for y = 5 years = 60 months
E(60) = (1798.65/.005-300000)(1.005^60-1) = 18846.17
for y = 10 years = 120 months
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y = 20 years = 240 months
E(240) = (1798.65/.005-300000)(1.005^240-1) = 132016.53

Check: equity after 30 years
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3 0

3 years ago

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Please help me with whatever you can i really need to get this done :)

Nady [450]

Answer:

7a) m=2x

7b) m=-3/4x

8)m=-5x

9) m=1/10x

10) 1/4x

Step-by-step explanation: So first what you want to do is take two points from your graph that you see that your line is on.

for example, on a), you would take lets say (3,2) and (0,-4)

*tip! if your X and Y intercepts are whole numbers it will be best to use them but if not, any two points will work.

so then you would first take your y coordinates of each point and plug it into the equation, $\frac{y^2-y^1}{x^2-x^1}$ .

so lets break it down!

so lets first take our y coordinates, (3,2) and (0,-4) and plug them into the equations

$\frac{-4-2}{x^2-x^1}$

so then lets subtract! -4 -2 gives us -6. so the numerator is -6.

lets now plug in our x values (3,2) and (0,-4)

$\frac{-6}{0-3}$

after we do the subtraction, we get -3 as our denominator.

so we are left with -6/-3. so -6/-3 gives us a slope of 2.

therefore you have Y=2x+b

Hopes this helps :)!

6 0

2 years ago