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kow [346]
3 years ago
8

8) y is inversely proportional to x?. When x = 4, y = 3. Find y when x = 5.

Mathematics
1 answer:
Anon25 [30]3 years ago
8 0

Answer:

\displaystyle y=2.4

Step-by-step explanation:

{\displaystyle y\propto \frac{1}{x} }

\displaystyle y=\frac{k}{x}

\displaystyle 3=\frac{k}{4}

\displaystyle 3 \times 4=k

\displaystyle k=12

\displaystyle y=\frac{12}{5}

\displaystyle y=2.4

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It cost Naomi $7.70 to send 154 text messages. How many text messages did she send
s2008m [1.1K]

You have to find the unit rate

SO..

7.70 / 154 = 0.05

So it cost her 0.05 cents for each text.

So then you divide $ 5.25 by the unit rate to get the number of text

5.25 /0.05 = 105

so she sent 105 text

To check it you just multiply the unit rate by the number of text you got and you show come up with $ 5.25

0.05 x 105 = 5.25

4 0
3 years ago
Suppose you invest $100 a month in an annuity that
Dominik [7]

Answer:

  $2502.60

Step-by-step explanation:

The formula for the amount of an annuity due is ...

  A = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)

where P is the monthly payment (100), r is the annual interest rate (.04), n is the number of compoundings per year (12), and t is the number of years (2). Given these numbers, the formula evaluates to ...

  A = $100(1.00333333)(1.00333333^24 -1)/0.00333333

  = $100(301)(0.08314296)

  = $2502.60

_____

This value is confirmed by a financial calculator. The given answer choices all appear to be incorrect. The closest one corresponds to an annual interest rate (APR) of 4.286%, not 4%.

4 0
3 years ago
Read 2 more answers
How many nickels are there in seventeen dollars?
Hunter-Best [27]
20 nickels = 1 dollar

So, do 20 x 17.

20 x 17 = 340 nickels which is $17.

The answer is 340 nickels!
4 0
3 years ago
Please help and explain how you solved it. Thanks.
galina1969 [7]

Answer:

This is 0.14 to the nearest hundredth

Step-by-step explanation:

Firstly we list the parameters;

Drive to school = 40

Take the bus = 50

Walk = 10

Sophomore = 30

Junior = 35

Senior = 35

Total number of students in sample is 100

Let W be the event that a student walked to school

So P(w) = 10/100 = 0.1

Let S be the event that a student is a senior

P(S) = 35/100 = 0.35

The probability we want to calculate can be said to be;

Probability that a student walked to school given that he is a senior

This can be represented and calculated as follows;

P( w| s) = P( w n s) / P(s)

w n s is the probability that a student walked to school and he is a senior

We need to know the number of seniors who walked to school

From the table, this is 5/100 = 0.05

So the Conditional probability is as follows;

P(W | S ) = 0.05/0.35 = 0.1429

To the nearest hundredth, that is 0.14

3 0
3 years ago
Architects make scale models of buildings to present their ideas to clients. If an
MaRussiya [10]

The area of the model is 80 square foot

Step-by-step explanation:

Let the area of the house model be 'a'

The scale = 1:50

The area of the house= 4000 square foot

Area of the model =4000/50

a = 80 square foot

The area of the model is 80 square foot

5 0
3 years ago
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