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LekaFEV [45]
4 years ago
13

The function f(x)=501170(0.98)x gives the population of a Texas City x years after 1995. What was the population in 1995?

Mathematics
1 answer:
galina1969 [7]4 years ago
4 0

Answer:

The population of a Texas City in 1,995 was 501,170\ people

Step-by-step explanation:

we have

f(x)=501,170(0.98^{x})

we know that

The population in 1,995 is for x=0

so

substitute the value of x=0 in the function f(x)

f(0)=501,170(0.98^{0})=501,170\ people

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Mahmoud earns $450 per week plus a 20% commission as a car salesman. He wants his
frosja888 [35]

The complete question implies that we define an inequality that represents the relationship between the number of hours worked in a week and the weekly sales

The inequality that relates the number of hours to the weekly sales is:

450 + 0.20x \ge 35y

We make use of the following representation:

x \to weekly sales from cars.

y \to hours worked in a week

His weekly salary is then calculated as:

Salary (S) = Earnings per week + Commission * Sales from car

So, we have:

S = 450 + 20\% * x

Express percentage as decimal

S = 450 + 0.20* x

S = 450 + 0.20x

Assume he works for y hours in a week.

His hourly rate is:

Hourly = \frac{S}{y} --- i.e. weekly salary divided by number of hours

Hourly = \frac{450 + 0.20x}{y}

For this rate to be at least \$35, the following condition must be true

Hourly \ge 35 --- i.e. is hourly rate must be greater than or equal 35

So, we have:

\frac{450 + 0.20x}{y} \ge 35

Multiply both sides by y

450 + 0.20x \ge 35y

5 0
3 years ago
Can someone anyone please man help me out
zzz [600]

Answer:

2 sqrt(3) -2i

Step-by-step explanation:

If we have the magnitude and the theta

z = |z| cos theta + i |z| sin theta

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5 0
4 years ago
Joe bought 5 apples and 4 bananas for $6. Dawn bought 3 apples and 6 bananas for $6.30. How much foes each apple and each banana
zepelin [54]

Answer:

Apple = $0.6

Banana = $0.75

Step-by-step explanation:

Let us represent Apple by A and Banana by B

For Joe,

5A + 4B = 6       (1)

For Dawn

3A + 6B = 6.3     (2)

To eliminate A, Multiply equation (1) by 3 and equation (2) by 5

15A + 12B = 18          (3)

15A + 30B = 31.5       (4)

subtracting equation (4) from (3)

15A - 15A +12B - 30B = 18 - 31.5

-18B = -13.5

divide through by -18

-18B/-18 = -13.5/-18

B = 0.75

substitute 0.75 in equation (1)

5A + 4B = 6

5A + 4(0.75) = 6

5A + 3 = 6

subtract 3 from both sides

5A + 3 - 3 = 6 - 3

5A = 3

divide through by 5

5A/5 = 3/5

A = 0.6

4 0
3 years ago
Please help!! giving brainliest !!!
ryzh [129]

Answer:

vertical angle theorem

Step-by-step explanation:

angles that are opposite of  each other and formed by two intersecting straight lines, are congruent.

3 0
3 years ago
Which describes an isometric transformation? dilation/ rotation/ side length change/ angle change
Westkost [7]

Answer:

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Step-by-step explanation:

"Isometric" means all measures stay the same.

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  • angle change obviously changes the measure of an angle
7 0
3 years ago
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