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Fiesta28 [93]
2 years ago
8

What is a 6% pay increase to 62,900 annual salary

Mathematics
2 answers:
anzhelika [568]2 years ago
6 0

Answer:

The annual salary after 6% increase would be 66,674

Step-by-step explanation:

the annual salary is = 62,900

If the increment in the salary is 6%,

The growth would be = 6% of 62,900

0.06 × 62,900 = 3,774

New pay would be = 62,900 + 3,774 = 66,674

The annual salary after 6% increase would be 66,674

Pavel [41]2 years ago
4 0
The answer is $66,674.
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The quantities xxx and yyy are proportional. xxx yyy 5.85.85, point, 8 5.85.85, point, 8 7.57.57, point, 5 7.57.57, point, 5 11.
Paul [167]

Question:

The quantities x and y are proportional.

x y

5.8 7.5

11.2

Find the constant of proportionality (r) in the equation y=rx

Answer:

The constant of proportionality is 75/58 or 1.29

Step-by-step explanation:

Given

The table above

Required

Find the constant of proportionality

The question has an incomplete table but it can still be solved because x and y are proportional.

Given that

y = rx

Make r the subject of formula

Divide through by x

y/x = rx

y/x = r

r = y/x

When y = 7.5, x = 5.8

Substitute these values

r = y/x becomes

r = 7.5/5.8

Multiply denominator and numerator by 10

r = (7.5 * 10)/(5.8 * 10)

r = 75/58

In this case, it's best to leave the answer in fraction.

However, it can be solved further.

r = 75/58

r = 1.29 (Approximated)

Hence, the constant of proportionality is 75/58 or 1.29

5 0
2 years ago
Read 2 more answers
Natalia solved the problem 74.4/12=6.2. complete the model with partial products check Natalia's work using multiplication
tia_tia [17]

Answer:

Natalia's work is wrong.

Step-by-step explanation:

Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:

1) x = 6.2\times 12 Given.

2) x = \left(6+0.2\right)\times 12 Definition of addition.

3) x = 6\times 12 + 0.2\times 12 Distributive property.

4) x = 72 + \frac{2}{10}\times 12 Definitions of multiplication and decimal number.

5) x = 72 +[2\cdot (10)^{-1}]\cdot 12 Definition of division/Associative property.

6) x = 72 + [2\cdot 12]\cdot (10)^{-1} Associative property.

7) x = 72 + 24\cdot 10^{-1} Definition of multiplication.

8) x = 72 + \frac{24}{10} Definition of divsion.

9) x = 72 + 2.4 Defintion of decimal number.

10) x = 74.4 Definition of addition/Result

Natalia's work is wrong.

5 0
2 years ago
Camille stopped at the grocery store to buy milk. While at the store, she spotted cans of soup on sale for $2.25 each. If the mi
Mrrafil [7]
$2.25x+$3.50=$35

so, $35-$3.50=$31.50

Then you divide $31.50 by $2.25

That equals 14

So, x=14
8 0
2 years ago
A hole is drilled in a sheet-metal component, and then a shaft is inserted through the hole. The shaft clearance is equal to dif
VashaNatasha [74]

Answer:

(A)

P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx  = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192

(B)

Then the cumulative function would be

CF(x) = 1.25x - 0.25x^5       if   0<x<1

0 otherwise.

Step-by-step explanation:

(A)

We are looking for the probability that the random variable X is greater than 0.8.

P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx  = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192

(B)

For any  x you are looking for the probability P(X \geq x)  which is

P(X \geq x)  = \int\limits_{-\infty}^{x}  1.25(1-t^4) dt = \int\limits_{0}^{x}  1.25(1-t^4) dt = 1.25x - 0.25x^2

Then the cumulative function would be

CF(x) = 1.25x - 0.25x^5       if   0<x<1

0 otherwise.

5 0
2 years ago
A rectangular patio has area of 180 square feet. The width of the patio is 3 feet less than the length. Find the length and widt
kondaur [170]
My calculations got to a decimal so it’s about.

6 0
2 years ago
Read 2 more answers
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