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3 years ago

Given the following exponential function, identify whether the change represents growth or decay, and

Mathematics

1 answer:

cestrela7 [59]3 years ago

6 0

Answer: 97% growth rate.

Step-by-step explanation:

Hi, to answer this question we have to analyze exponential function:

A = P (1 + r) t

Where:

p = initial value

r = growth or decay rate (decimal form)

t= number of time intervals

A = value after t intervals

Replacing with the values given:

y=3400(1.97)^x

Where the term 1.97 = 1 + r

Solving for r:

1.97-1 = r

0.97 =r

Since the rate is positive, it is a growth rate.

To determine the percentage we have to multiply it by 100

0.97 x 100 = 97%

Feel free to ask for more if needed or if you did not understand something.

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REY [17]

Answer:

A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 18, 22. Column 2 is labeled y with entries 2, 3, 4.

Step-by-step explanation:

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2 years ago

The volume of sphere Q is 150% more than the volume of sphere P the volume of sphere R is 50% more than the volume of sphere Q F

vazorg [7]

Answer:

1/3.75

Step-by-step explanation:

Let:

Volume of sphere P = x

Volume Sphere Q = x + 150/100x

Volume of Q = x + 1.5x = 2.5x

Volume of R is 50% more than Q

Volume of R = (100 + 50)% of 2.5x

Volume of R = 150/100 * 2.5x

Volume of R = 1.5 * 2.5x = 3.75x

Volume of sphere P as a fraction of sphere R ;

Volume of P / volume of R

x / 3.75x

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8 0

2 years ago

The population of a city is modeled by the equation P(t)=232012e0.23t where t is measure in years. If the city continues to grow

Gennadij [26K]

In around 6.35 years, the population will be 1 million.

<h3> how many years will it take for the population to reach one million?</h3>

The population is modeled by the exponential equation:

$P(t) = 232,012*e^{0.23*t}$

Then we just need to solve the equation for t:

$P(t) = 232,012*e^{0.23*t} = 1,000,000$

Let's solve that:

$232,012*e^{0.23*t} = 1,000,000\\\\e^{0.23*t} = 1,000,000/232,012 = 4.31\\$

If we apply the natural logarithm to both sides:

$ln(e^{0.23*t}) = ln(4.31)\\\\0.23*t = ln(4.31)\\\\t = ln(4.31)/0.23 = 6.35$

So in around 6.35 years, the population will be 1 million.

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5 0

1 year ago

jill mowed lawns for 3 hours and earned $7.20 per hour.Then she washed windows for 4 hours and earned $6.75 per hour. what were

Aleksandr-060686 [28]

Actually, she worked for seven hours, so I'll solve for that.

7.20 x 3 = 21.6

6.75 x 4 = 27

21.6 + 27 = 48.6

48.6 /2 = 24.3

Her average should be $24.3 If she did work six hours, just multiply 6.75 x 3 and do what I did.

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3 years ago

Fill in the table using this function rule.

inysia [295]

Answer:

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3 years ago

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