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3 years ago

Y varies inversely with x. When x = 3 then y = 5. Write an equation to represent this relationship.

Mathematics

2 answers:

Colt1911 [192]3 years ago

8 0

Answer:

Step-by-step explanation:

y ∞ 1/x

y = k/x

Where k is the constant of proportionality

When x = 3 and y = 5

5 = k/3

Cross multiply

k = 5×3

k = 15

The equation is y = 15/x

slavikrds [6]3 years ago

4 0

Answer:

X=6

Step-by-step explanation:

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Tony wants to save $10,000 in 6 years. Assuming a 4% interest rate, what is the minimum he must save each month to reach his goa

arlik [135]

We have been given that Tony wants to save $10000 in 6 years.

That means future value S = $10000

Time t= 6 years

Interest rate = 4% yearly = 0.04 yearly

n=12 months per year

Now we have to find monthly payment to recieve $10000 in 6 years. so we need to apply monthly payment formula which is

$S=R(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})$

$10000=R(\frac{(1+\frac{0.04}{12})^{12*6}-1}{\frac{0.04}{12}})$

$10000=R(\frac{(1+0.00333333333333)^{72}-1}{0.00333333333333})$

$10000=R(\frac{(1.00333333333333)^{72}-1}{0.00333333333333})$

$10000=R(\frac{1.27074187908-1}{0.00333333333333})$

$10000=R(\frac{0.27074187908}{0.00333333333333})$

$10000=R(81.2225637241)$

$\frac{10000}{81.2225637241}=R$

$123.11849739=R$

which is approx $123.

Hence final answer is C) $123.

4 0

4 years ago

Find the sum of (x + 5) and (2x + 3) * A) 9x + 1 B) 5x + 2 C) 8x + 3 D) 3x + 8

KatRina [158]

Answer:

Step-by-step explanation:

We know that we are adding the two expressions because the question says "sum" which means that we need to add. Let's combine like terms. We know that x + 2x = 3x and 5 + 3 = 8 so the answer is 3x + 8.

7 0

3 years ago

Read 2 more answers

What was her speed?

harkovskaia [24]

0.1 mile per min

Step-by-step explanation:

lol i’m fye

8 0

3 years ago

Suppose you are taking the bus home, and can take either Route 51 or Route 82. You know that the Route 82 will arrive at the bus

kykrilka [37]

Answer:

E[T] = 10

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b, and the expected value of the uniform distribution is given by:

$E = \frac{a+b}{2}$

Uniformly distributed between 0 and 20 minutes.

This means that $a = 0, b = 20$

Let T be the number of minutes you wait until you board a bus. Find E[T].

This is

$E[T] = \frac{a + b}{2} = \frac{0 + 20}{2} = 10$

E[T] = 10

8 0

3 years ago

Express in the simplest form 777:147

Dvinal [7]

Answer:

your answer should be 37:7

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 777 and 147 is 21

Divide both terms by the GCF, 21:

777 ÷ 21 = 37

147 ÷ 21 = 7

The ratio 777 : 147 can be reduced to lowest terms by dividing both terms by the GCF = 21 :

777 : 147 = 37 : 7

Therefore:

777 : 147 = 37 : 7

3 0

3 years ago

Read 2 more answers