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stepan [7]
3 years ago
15

What is the variable

Mathematics
1 answer:
krek1111 [17]3 years ago
5 0
A quantity that may change
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Write an exponential function to model the situation.A population of 300 animals decreased at an annual rate of 22%
erastovalidia [21]

Answer:

y = 300(0.78)^x

Step-by-step explanation:

x is the number of years. y is the population after x years.

Each year, the population decreases by 22%, since 100% - 22% = 78%, and 78% = 0.78, each year, the population is 0.78 of the previous year's population.

year zero: y = 300

year 1: y = 300 * 0.78 = 300 * (0.78)^1

year 2: y = (300 * 0.78) * 0.78 = 300 * (0.78)^2

year 3: y = ((300 * 0.78) * 0.78) * 0.78 = 300 * (0.78)^3

year x: y = 300(0.78)^x

4 0
3 years ago
Which equations represents a line that passes through (4, 1/3) and has a slope of 3/4
docker41 [41]

Answer:

y = 3/4x - 8/3

Step-by-step explanation:

y = 3/4x + b

1/3 = 3/4(4) + b

1/3 = 3 + b

-8/3 = b

6 0
2 years ago
Read 2 more answers
Ace autos sells cars and pay sue each month
Lena [83]
Sue's total pay of year will have three parts
1) Fixed Salary for 12 months
one month salary = £1410
so 12 month salary = £1410 x 12 = £16920
2) 26% of total profit
Total cost to the company- £473,500
Total income for the company - £549,000
Profit = Total income for the company - Total cost to the company
= £549,000 - £473,500 = £75500
Sues income from profit = 26% of £75500 = (26 × 75500)/100 = £19630
3) Bonus if Sue sells at least 16 cars
Given number of months when sue solds atleast 16 cars = 4
So bonus income = 4 × 390 = £1560
Adding the three above parts
Sue's total pay for the year = £16920 + £19630 + £1560 = £38110
8 0
2 years ago
In the PQRS triangle PQ=QR, QR side extended to S Show that PQ+RS=QS. -S Q R
Vitek1552 [10]

Answer:

Step-by-step explanation:

from the picture:

QP = QR

and

QR = RS

so

PQ + RS = QS

6 0
3 years ago
||x-4|-2|&lt;3 <br> Solve for X
miv72 [106K]

Answer:

x<11

Step-by-step explanation:

x−4(|−2|)<3

Simplifies to:

x−8<3

Let's solve your inequality step-by-step.

x−8<3

Step 1: Add 8 to both sides.

x−8+8<3+8

x<11

3 0
3 years ago
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