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Alexxandr [17]
2 years ago
5

Two math students were asked to write an exponential growth equation that had a starting value of 300 and a growth rate of 2%. P

ierre thinks the answer is y= 300 (1.02)x and Scott thinks that the answer is y= 300 (1.2)x Are either of them right and why?
Mathematics
1 answer:
Gemiola [76]2 years ago
5 0

Answer:

Pierre is right

Step-by-step explanation:

The correct formula for Exponential growth rate is given as:

y = a( 1 + r) ^t

Where

y = Amount after time t

a = Initial amount

r = Growth rate

t = time

From the question

a = 300

r = 2% = 0.02

Hence, our exponential growth rate =

y = 300( 1 + 0.02)^t

y = 300( 1.02)^t

Therefore, Pierre is right

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y is directly proportional to x^3. it is known that =5 for a particular value of x. find the value of y when this value of y whe
alina1380 [7]

Answer:

The value of y when the value of x is multiplied by \frac{1}{2} is \frac{5}{8}.

Step-by-step explanation:

According to the statement, we have the following relationship:

y = k\cdot x^{3} (1)

Where:

x - Independent variable.

y - Dependent variable.

k - Proportionality constant.

We can eliminate the proportionality constant by constructing the following relationship:

\frac{y_{2}}{y_{1}} = \left(\frac{x_{2}}{x_{1}} \right)^{3}

If we know that y_{1} = y, y_{2} = 5, x_{2} = x_{o} and x_{1} = \frac{1}{2}\cdot x_{o}, then the value of y when the value of x is multiplied by \frac{1}{2} is:

\frac{5}{y} = \left(\frac{x_{o}}{\frac{1}{2}\cdot x_{o} } \right)^{3}

\frac{5}{y} = 8

y = \frac{5}{8}

The value of y when the value of x is multiplied by \frac{1}{2} is \frac{5}{8}.

5 0
2 years ago
SOMEONE PLEASE HELP ME ASAP PLEASE!!!!​
ehidna [41]

Answer:

Therefore,

a_{21}=2

Step-by-step explanation:

Given:

A=\left[\begin{array}{ccc}3&6&9\\2&4&8\\\end{array}\right]

To Find:

a₂₁ = ?

Solution:

Let,

A=\left[\begin{array}{ccc}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\\end{array}\right]

We require  ' a₂₁ ' i.e Second Row First Column Element

So on Comparing we get

∴ a_{21}=2

Therefore,

a_{21}=2

5 0
2 years ago
WHATS 15 DIVIDE BY 6
MrRissso [65]
15/6=2.5

...............
8 0
3 years ago
Read 2 more answers
Luke went shopping for a new pair of pants. The listed price of the pair of pants was $21, but the price with tax came to $22.05
alukav5142 [94]

Answer:

5%

Step-by-step explanation:

22.05-21=1.05

1.05/21=.05

.05*100=5%

4 0
2 years ago
Colton and his children went into a movie theater and he bought $48.50 worth of bags of popcorn and candies. Each bag of popcorn
Inessa [10]

Answer:

5 bags of popcorn and 6 candies.

Step-by-step explanation:

(5 * $5.50) + ($3.5*6) = $48.5

4 0
3 years ago
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