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3 years ago

If y varies directly as x, what is the value of y in (4,16) and (2,y)

1 answer:

3 0

Y varies directly with x means y = kx or y/x = k where k is the constant of variation (slope)

Using $\frac{y}{x} = \frac{y}{x}$ we can plug in the x and y values from the given points.

We get the following proportion:
$\frac{16}{4} = \frac{y}{2}$
32 = 4y ← cross multiply
8 = y ← divide both sides by 4

ANSWER: y = 8

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Help pls I need number 4 done pls

anygoal [31]

Answer:

there is an equal amount if cars on both sides so it would be 0

Step-by-step explanation:

there are 4 cars on the left and on the right of 2 1/2 so the answer would be 0 because 4-4=0

4 0

3 years ago

Find the value of x.

kipiarov [429]

Are there multiple choice options??

8 0

2 years ago

A report states that the mean yearly salary offer for students graduating with a degree in accounting is $48,734. Suppose that a

DENIUS [597]

Solution :

To claim to be tested is whether "the mean salary is higher than 48,734".

i.e. μ > 48,734

Therefore the null and the alternative hypothesis are

$H_0 : \mu = 48,734$

and $H_1 : \mu > 48,734$

Here, n = 50

$\bar x = 49,830$

s = 3600

We take , α = 0.05

The test statistics t is given by

$t=\frac{\bar x - \mu}{\frac{s}{\sqrt n}}$

$t=\frac{49,830 - 48,734}{\frac{3600}{\sqrt 50}}$

t = 2.15

Now the ">" sign in the $H_1$ sign indicates that the right tailed test

Now degree of freedom, df = n - 1

= 50 - 1

= 49

Therefore, the p value = 0.02

The observed p value is less than α = 0.05, therefore we reject $H_0$ . Hence the mean salary that the accounting graduates are offered from the university is more than the average salary of 48,734 dollar.

3 0

2 years ago

Abdul, while driving to school, computes the average speed for his trip to be 20 km/hr. On his return trip along the same route,

gulaghasi [49]

You need to find the total distance and the total time. The total distance is two times the distance to school, 2d.s=d/t=>t=d/sWhere s is speed, d is distance and t is time. So the time taken to get to school is:d/s1and the time taken to get back is:d/s2so the total time is:d/s1+d/s2=d(1/s1+1/s2)So, as speed = distance/time, divide the total distance by the total time:2d/d(1/s1+1/s2)=2/(1/s1+1/s2)=2/(1/20+1/40)=80/3≈26.7km/hr

8 0

2 years ago

The Johnsons are buying their first home. They are contemplating two similar loans. The first is a 30-year loan for $150,000 at

OLEGan [10]

Johnson's will pay by the end of the 20-year loan $326,807.25

Johnson's will pay by the end of the 30-year loan $512,109.68

Step-by-step explanation:

The formula for compound interest, including principal sum is

$A=P(1+\frac{r}{n})^{nt}$ , where:

A is the future value of the investment/loan, including interest
P is the principal investment amount (the initial deposit or loan amount)
r is the annual interest rate (decimal)
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

The Johnson's are buying their first home. They are contemplating

two similar loans

The first is a 30-year loan for $150,000 at an interest rate of 4.1% APT

compounded monthly

∴ P = $150,000

∴ r = 4.1% = (4.1/100) = 0.041

∴ n = 12 ⇒ compounded monthly

∴ t = 30

- Substitute all of these values in the formula above

∴ $A=150,000(1+\frac{0.041}{12})^{(12)(30)}$

∴ A = $512,109.68

Johnson's will pay by the end of the 30-year loan $512,109.68

The second is a 20-year loan for a $150,000 at an interest rate of 3.9%

APR compounded monthly

∴ P = $150,000

∴ r = 3.9% = (3.9/100) = 0.039

∴ n = 12 ⇒ compounded monthly

∴ t = 20

- Substitute all of these values in the formula above

∴ $A=150,000(1+\frac{0.039}{12})^{(12)(20)}$

∴ A = $326,807.25

Johnson's will pay by the end of the 20-year loan $326,807.25

Learn more:

You can learn more about interest in brainly.com/question/12773544

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7 0

3 years ago