What would the equation be of the relationship??

Aleksandra started studying how the number of branches in her tree grows over time. Every 1.5 years, the number of branches incr

vova2212 [387]

Answer:

N = 52 * (9/7)^(t/1.5)

Step-by-step explanation:

This problem can be modelated as an exponencial problem, using the formula:

N = Po * (1+r)^(t/1.5)

Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.

In our case, we have that N is the final number of branches after t years, Po = 52 branches, r = 2/7 and t is the number of years since the beginning (in the formula we divide by 1.5 because the rate is defined for 1.5 years)

Then, we have that:

N = 52 * (1 + 2/7)^(t/1.5)

N = 52 * (9/7)^(t/1.5)

7 0

3 years ago

I need help ASAP PLEASEEE

stellarik [79]

65 percent don’t have a pet

5 0

3 years ago

The Basketball Boosters Club plans a pancake supper to raise $1,200. They can serve 240 people. They

wolverine [178]

$\huge{ \mathfrak{ \underline{ Answer} \: \: ✓ }}$

let the number of

adults be x

children be y

Total number of people : adults + children

x + y = 240

x = 240 - y - [1]

Total money earned from adults :

6 × x = 6x

Total money earned from children :

2 × y = 2y

Therefore, total money = money earned from each Adult and children.

6x + 2y = 1200 -[2]

Now, let's plug the value of x from equation [1] into equation [2]

6 (240 - y) + 2y = 1200

1440 - 6y + 2y = 1200

-4y = 1200 - 1440

-4y = - 240

y = 60

let's plug the value of y in equation [1]

x = 240 - y

x = 240 - 60

x = 180

Hence, we get :

total adults = x = 180

total children = y = 60

Correct option is C

_____________________________

$\mathrm{ ☠ \: TeeNForeveR \: ☠}$

7 0

3 years ago

Mr. Vella can build a brick wall in 4 days. His apprentice can build the same wall in 6 days. After working alone for 3 days, Mr

Vitek1552 [10]

Mr. Vella can build the wall in 4 days, however only works on it for 3 days. That means that he has completed 75% of the and is leaving 25% for his apprentice.

We need to figure out how long it takes the apprentice to build 25% of a wall. We know he can build 100% of a wall in 6 days, so dividing 6 days by 4 will give us our answer.

6/4 = 3/2 = 1.5 days

It took the apprentice 1.5 days to finish the wall.

6 0

3 years ago

If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!

timama [110]

$x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0$

By the quadratic formula,

$x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2$

Then

$(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2$

$\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}$

Multiply numerator and denominator by the denominator's conjugate:

$\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15$

3 0

3 years ago