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alekssr [168]
3 years ago
11

The average annual salary of the employees of a company in the year 2005 was ninety thousand dollars. It increased by the same f

actor each year and in 2006, the average annual salary was $91,200. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)?
f(x) = 91.2(1.013)x
f(x) = 90(1.013)x
f(x) = 91.2(2.2)x
f(x) = 90(2.2)x
Mathematics
2 answers:
Murljashka [212]3 years ago
7 0
Rate of growing, r = 91.2/90 = 1.013

Salary, f(x) = Initial salary * (r)^ (years from 2005)

f(x) = 90(1.013)^x.

This is the second option.
Brums [2.3K]3 years ago
4 0

Answer:

B

Step-by-step explanation:

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Calculate.<br> 1) 4 x (3 divided by 8 + 1)
grin007 [14]
4(3/(8+1) = 4(3/9) = 12/9 = 4/3

4((3/8)+1) = 4(11/8) = 44/8 = 11/2

just depends on which way the equation is written
5 0
3 years ago
Ray has found that his new car gets 31 miles per gallon on the highwayand 26 miles per gallon in the city. He recently drove 285
Mkey [24]

Answer:

Highway = 155\ miles

City = 130\ miles

Step-by-step explanation:

Given

Highway = 31mi/gallon

City = 26mi/gallon

Total\ Miles = 285

Total\ Gallons = 10

Required

Determine the number of miles driven on the highway and on the city

Represent the gallons used on highway with h and on city with c.

So, we have:

c + h = 10 ---- gallons used

and

31h + 26c = 285 --- distance travelled

In the first equation, make c the subject

c = 10 - h

Substitute 10 - h for c in the second equation

31h + 26c = 285

31h + 26(10 - h) = 285

Open bracket

31h + 260 - 26h = 285

Collect like terms

31h - 26h = 285 - 260

5h = 25

Make h the subject

h = \frac{25}{5}

h = 5

Substitute 5 for h in c = 10 - h

c = 10 - 5

c = 5

If on the highway, he travels 31 miles per gallon, then his distance on the highway is:

Highway = 31 * 5

Highway = 155\ miles

If in the highway, he travels 26 miles per gallon, then his distance on the highway is:

City = 26 * 5

City = 130\ miles

8 0
3 years ago
If Upper A equals StartSet x | x is an even integer EndSet commaA={x | x is an even integer}, Upper B equals StartSet x | x is a
White raven [17]

Answer:

C ∪ D = {2, 3, 4, 5, 8, 9, 10, 11}

Step-by-step explanation:

A={x | x is an even integer}

B={x | x is an odd integer},

C={2, 3, 4, 5},

D={8, 9, 10, 11}.

A union of two or more sets is the collection of the members of the sets in a set without repeating any element.

Given sets C and D above, the union of the two sets is the set:

C ∪ D = {2, 3, 4, 5, 8, 9, 10, 11}

Note: The Intersection is the collection of sets that are common to C and D. in this case no element is common, therefore the intersection is a Null Set.

8 0
3 years ago
Pls help this is really important
oee [108]

Answer:

x = 30 I'm sure hope this helps

7 0
3 years ago
3xy + x = -29 Literal Equations! Solve for X. Show solution please! Thanks in advance!
frosja888 [35]
3xy+x=-29
-3xy -3xy
x= -3xy-29
4 0
3 years ago
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