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earnstyle [38]
3 years ago
14

Suppose you are determining the growth rate of two species of plants. Species A is 25cm tall and grows 3cm per month Species B i

s 10 cm tall and grow 8cm per per month which system of equations models the height of each species H(d) as a function of days d.
Mathematics
1 answer:
Tatiana [17]3 years ago
7 0

Answer:

See below.

Step-by-step explanation:

There are about 30 days in each month. with that in mind, we can say Species A grows about 3cm/30days and Species B grows 8cm/30days. As a function of days "d" we can say Species A grows at a rate of (3/30)d and Species B at (8/30)d.

*Notice how when d = 30, it reflects one month of growth for each.

And since each plant had some height already, we can write two equations like this:

  • Species A; H(d) = (1/10)d + 25
  • Species B; H(d) = (8/30)d + 10

*Just in case you didn't see it, (3/30) can be reduced to (1/10); which is what I did above.

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5000 12% compounded quarterly compound interest table find earned after 5 years
kolezko [41]
<h3>Amount earned after 5 years is $ 9030.5561</h3>

<em><u>Solution:</u></em>

<em><u>The formula for compound interest, including principal sum, is:</u></em>

A = p(1+\frac{r}{n})^{nt}

A = the future value of the investment including interest

P = the principal investment amount

r = the annual interest rate in decimal

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

p = 5000

t = 5 years

r = 12 \% = \frac{12}{100} = 0.12

<em><u>n = 4 ( since interest is compounded quarterly )</u></em>

<em><u>Substituting the values we get,</u></em>

A = 5000(1+\frac{0.12}{4})^{4 \times 5}\\\\A = 5000(1+0.03)^{20}\\\\A = 5000 \times 1.03^{20}\\\\A = 5000 \times 1.806111\\\\A = 9030.5561

Thus amount earned after 5 years is $ 9030.5561

7 0
3 years ago
I NEED HELP PLEASE :(
Licemer1 [7]
The SA is correct but volume is off. 4/3 times pi times radius cubed is 904.7787. When making your ratio you would divide the SA by the volume to get a ratio that is about 1 to 2.
5 0
3 years ago
1.) 2x + y = 3 2.) x - 2y = -1 If equation 1 is multiplied by 2 and then the equations are added, the result is
Alexus [3.1K]
3×2=6
6+(-1)=6-1=5
The answer is 5
5 0
3 years ago
Which statement is true about the end behavior of the graphed function?
Sloan [31]

D. As the x-values go to negative infinity, the function's values go to positive infinity.

Step-by-step explanation:

In the diagram you notice as the values of x increase to the far negative value, the function's output values increase to positive infinity.

For example at ;

x=-2, f(x)=0

x=-3, f(x)= 16

x= -4, f(x)= >64

This shows that as x values approach -∞, f(x) approach +∞

Learn More

Behavior of a function:brainly.com/question/12052868

Keywords :statement, true,end behavior, graph, function

#LearnwithBrainly

7 0
3 years ago
You decide to put $2,000 in a savings account to save for a $3,000 downpayment on a new car. If the account has an interest rate
DanielleElmas [232]

It takes 10.155 years until you have $3,000 ⇒ 3rd

Step-by-step explanation:

The formula for compound interest, including principal sum is:

A=P(1+\frac{r}{n})^{nt} , where

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount  
  • r is the annual interest rate (decimal)
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

∵ You decide to put $2,000 in a savings account

∴ P = 2000

∵ You want to save for $3,000

∴ A = 3000

∵ The account has an interest rate of 4% per year and is

   compounded monthly

∴ r = 4% = 4 ÷ 100 = 0.04

∴ n = 12 ⇒ compounded monthly

- Substitute all of these values in the formula above to find t

∵ 3000=2000(1+\frac{0.04}{12})^{12t}

- Divide both sides by 2000

∴ 1.5=(1+\frac{1}{300})^{12t}

∴ 1.5=(1\frac{1}{300})^{12t}

- Change the mixed number to an improper fraction

∴ (1.5)=(\frac{301}{300})^{12t}

- Insert ㏒ for both sides

∴ log(1.5)=log(\frac{301}{300})^{12t}

- Remember log(a)^{n}=nlog(a)

∴ log(1.5)=(12t)log(\frac{301}{300})

- Divide both sides by log(\frac{301}{300})

∴ 121.84 = 12 t

- Divide both sides by 12

∴ 10.155 = t

It takes 10.155 years until you have $3,000

Learn more:

You can learn more about the compound interest in brainly.com/question/4361464

#LearnwithBrainly

5 0
3 years ago
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