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Elenna [48]
1 year ago
8

Last year Beth's annual salary was $38,350. This year she received a promotion and now earns $46,462 annually. She is paid biwee

kly.
a.) What was her biweekly salary last year?
b.) What is Beth’s biweekly salary this year?
c.) On a biweekly basis, how much more does Beth earn as a result of her promotion?
Mathematics
1 answer:
kenny6666 [7]1 year ago
8 0

Answer:

Quite simple. There are 52 weeks in a year. She gets paid 26 times, every other week.

38,350 / 26 = her salary from last year per check.

46,462 / 26 = her new salary per check

(46,462 - 38,350) / 26 = the difference per week

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2 x 3 x n x n=54 <br><br> What is the value of n?
kozerog [31]

2*3*n*n=54

6*n^2=54

n^2=9

n=3

4 0
2 years ago
Read 2 more answers
For all real numbers a and b, 2a • b = a2 + b2 Is this true or false? Explain why it false or true.
Andru [333]

Answer:

It's false.... correct is a2+2ab+b2

Step-by-step explanation:

This cannot be factored anymore although. when we try to substitute a with 5 and b with 2, the answer in the right hand side of the equation is -9.

That's why it's false.

3 0
2 years ago
The marketing manager of a branch office of a local telephone operating company wants to study the characteristics of residentia
charle [14.2K]

Answer:

No. There is not enough evidence to support the claim that the population standard deviation is different from $12.

Step-by-step explanation:

The null hypothesis is that the true standard deviation is 12.

The alternative hypothesis is that the true standard deviation differs from 12.

We can state:

H_0: \sigma=12\\\\H_a: \sigma\neq12

The significance level is 0.10.

The sample size is n=15, so the degrees of freedom are:

df=n-1=15-1=14

The sample standard deviation is 9.25.

The test statistic is

T=(n-1)(s/\sigma_0)^2=14*(9.25/12)^2=14*0.77^2=14*0.59=8.32

The critical values for rejecting the null hypothesis are:

\chi_{0.025,13}=5.00875\\\\\chi_{0.975,13}=24.7356

As T=8.32 is within the acceptance region (5.01, 24.74), the null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the population standard deviation is different from $12.

8 0
1 year ago
Lorena and Julio purchased a home for $205,950. Their loan amount was $164,760, and the assessed value is now $200,500. Their ta
NeX [460]

Answer:

Monthly taxes = $250.63 (Approx.)

Step-by-step explanation:

Given:

Amount of purchase = $205,950

Loan amount = $164,760

Assessed value = $200,500

Tax rate is 1.5%

Find:

Monthly taxes

Computation:

Tax always calculated on Assessed value

Annual tax amount = 200,500 x 1.5%

Annual tax amount = 3,007.5

Monthly taxes = Annual tax amount / 12

Monthly taxes = 3,007.5 / 12

Monthly taxes = 250.625

Monthly taxes = $250.63 (Approx.)

7 0
1 year ago
Which of the coordinate points below will fall on a line where the constant of proportionality is 1/4? Select all that apply. A)
kompoz [17]

Answer:

A) (4,1)  C) (12,3) D) (20,5)

Step-by-step explanation:

Required

Which has a constant of proportionality of 1/4

To solve this, we make use of:

y = kx

Where k is the constant of proportionality.

Solve for x

k = y/x

<u>Testing the given options</u>

A) (4,1)

k = y/x

k =1/4

B) (8,12)

k = y/x

k =12/8

k =3/2

C) (12,3)

k = y/x

k = 3/12

k = 1/4

D) (20,5)

k = y/x

k = 5/20

k = 1/4

E) (12,6)

k = y/x

k =6/12

k =1/2

4 0
1 year ago
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