Ngozi earns \$24{,}000$24,000dollar sign, 24, comma, 000 in salary in the first year she works as an interpreter. Each year, she earns a 3.5\%3.5%3, point, 5, percent raise. Write a function that gives Ngozi's salary S(t)S(t)S, (, t, ), in dollars, ttt years after she starts to work as an interpreter.

Answers

Answer 1
Answer:

Answer:

The function that shows Ngozi's salary after t years is:

S(t) = 24000(1.035)^t

Step-by-step explanation:

Please see the attached file for details


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Which of the following equations is y = x2 – 5x – 14 in factored form?Oy= (2-7)(2+2)Oy= (x + 7) (x - 2)Oy= (x - 5)(x – 14).Oy= (x + 5) (x + 14)Need help ASAP PLS

a train traveled at an average speed of 45 miles per hour for 2 hours and 30 miles per hour for 3 hours. what is the total number of miles that the train traveled

Answers

distance=rate times time
rate=xmiles per hour
time=y hours

total distance=distance1+distance2
distance1=45mph times 2=90mi
distance2=30mph times 3=90mi
total distance=90mi+90mi=180mi

total is 180mi
(45×2)+(30×3)= 180 miles

The figures below are squares. Find an expression for the area of each shaded region. Write your answers in standard form.The bigger square is x+3 on all 3 sides.
The smaller square is x on every side.

Answers

Given:
Big square: side length = x + 3
Small square: side length = x

Area of a square = a²    where a represents the side length.

Area of big square = (x+3)²
A = (x+3)(x+3) 
A = x(x+3) + 3(x+3)
A = x² + 3x + 3x + 9
A = x² + 6x + 9

Area of small square = x²

Total Area = Area of Big square + Area of Small square
Total Area = x² + 6x + 9 + x²
Total Area = 2x² + 6x + 9

In 1970, a bottle of dishwashing detergent cost $0.50. To answer each of the parts below, assume that the consumer price index (CPI) was 29.6 in 1960, 38.8 in 1970, and 82.4 in 1980.If the price of dishwashing detergent increased at the same rate as the CPI from 1970 to 1980, how much did a bottle of dishwashing detergent cost in 1980? By how much did the price of a bottle of dishwashing detergent increase from 1970 to 1980?

Answers

Given:
1970 price of dish washing detergent in a bottle : $0.50

CPI
1960 = 29.60
1970 = 38.80
1980 = 82.40

(82.40 - 38.80) / 38.80 = 1.124 
1.124 x 100% = 112.4% rate of increase

$0.50 * 112.4% = $0.562 is the 1980 price of the dish washing detergent.

Which phrase matches the algebraic expression below? (1 point) 3(x − 7) + 10 Three times the sum of x and seven plus ten Three times x minus seven plus ten Three times x minus the sum of seven and ten Three times the difference of x and seven plus ten

Answers

Answer:Three times the difference of x and seven plus ten

Step-by-step explanation:

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Answers

Answer:

∠RWT

Step-by-step explanation:

The angels in matching corners are  corresponding angles

There is a discrete relationship between the number of workers and the number of bricks layed on a wall. Use this information to answer problems 9-11. What is the domain for the function that models the relationship between workers and bricks laid on the wall?

Answers

Answer: The domain of a function represents all the possible input values or independent variables that can be used in the function. In this case, the function models the relationship between the number of workers and the number of bricks laid on the wall.

To determine the domain, we need to consider what values the number of workers can take on in this relationship. Since the number of workers is discrete, it means that only whole numbers can be used to represent the number of workers. For example, you cannot have 2.5 workers.

Therefore, the domain of the function would be a set of whole numbers. We can represent this using interval notation as {0, 1, 2, 3, ...}, where the ellipsis (...) indicates that the pattern continues indefinitely.