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Lubov Fominskaja [6]
3 years ago
9

Identify the function as exponential growth or decay. y = a * (8/5) ^ 0

Mathematics
1 answer:
sukhopar [10]3 years ago
4 0

Answer:

We conclude that the function represents exponential growth.

Step-by-step explanation:

Given the function

y=a\left(\frac{8}{5}\right)^t

As the function is of the form

  • y=abˣ

and base 'b' > 1

We know that when the base 'b' of the exponential function > 1, meaning those numbers will get bigger, we call it exponential growth.

As b=8/5 is bigger than 1.

i.e. 8/5 > 1

Thus, we conclude that the function represents exponential growth.

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A box contains 28 balls of which 7 are red, 7 are blue, 14 are green.
djverab [1.8K]

Answer:

1 /4

Step-by-step explanation:

Given that :

Number of red = 7

Number of Blue = 7

Number of green = 14

Total number of balls = 28

Probability of picking a ball that is neither red nor green.

Probability = required outcome / Total possible outcomes

P(neither red nor green) = P(picking a blue ball) = 7 / 28 = 1/4

4 0
2 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
2 years ago
Help plzzzzzz! Sandy works at a clothing store. She makes $9 per hour plus earns 10% commission on her sales. She worked 72 hour
Mamont248 [21]

Answer:

Step-by-step explanation:

Payment per hour is $8

commission is 15%

Total number of hours worked for 2 weeks is 73 hours

Total sales=$2095

commission earned for 2 weeks:

15/100×2095

=$314.25

Total amount earned in 73 hours:

73×8=$584

Total amount earned in commission and wages:

584+314.25

=$898.25

4 0
3 years ago
225/400 in simplest form
Natali5045456 [20]
It is 9/16

divide bot by 25.
3 0
3 years ago
Read 2 more answers
Print Version
san4es73 [151]

Answer:

$9450

Step-by-step explanation:

We will use compound interest formula:

F=P(1+r)^t

Where

F is future amount [what we want to figure out]

P is present amount [9000]

r is rate of interest [since we want for 6 months, the annual interest divided by 2 is r. So r = 10/2 = 5% or 0.05]

t is the time [ the time period is for 6 months so t = 1 since we already converted the interest rate to 6 month chunk]

Putting in formula, we get:

F=P(1+r)^t\\F=9000(1+0.05)^1\\F=9000(1.05)\\F=9450

6 0
3 years ago
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