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navik [9.2K]
3 years ago
11

The function f(t) = 3(1 + 0.5)^nt models the weight in pounds of an alligator each year from its birth. Based on the function, w

hat is the growth rate?
Mathematics
1 answer:
masha68 [24]3 years ago
5 0
<h2>Hello!</h2>

The answer is: 50% (0.5)

<h2>Why?</h2>

Exponential growth equations are use to predict the growth (in function of time) using proportional information.

We can calculate the exponential growth using the following formula:

y=S(1+r)^{t}

Where,

S, is the starting value

r, is the growth rate

t, is the time

So, we are given the function:

f(t) = 3(1 + 0.5)^{nt}

Where,

f(t), is the function,

3, is the starting value (lb)

0.5 (50%) is the growth rate

nt, is the time elapsed.

Hence,

From the given function, we know that the growth rate is equal to 0.5, and it's equal to 50%.

We can turn the growth rate given in real numbers to percent value by multiplying by 100

GrowthRate(Percentage)=0.5*100=50(Percent)

So, the growth rate is 50%.

Have a nice day!

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Find the least common denominator for the group of fractions.<br> 5/12, 9/14, 2/5, 1/10
makkiz [27]

9514 1404 393

Answer:

  420

Step-by-step explanation:

The prime factors of each denominator are ...

  12 = 2²×3

  14 = 2×7

  5 = 5

  10 = 2×5

The unique factors are 2²×3×5×7 = 420.

The least common denominator of these fractions is 420.

_____

<em>Additional comment</em>

  • 5/12 = 175/420
  • 9/14 = 270/420
  • 2/5 = 168/420
  • 1/10 = 42/420
5 0
2 years ago
I need a bit of help on this problem
Nimfa-mama [501]

Answer: its b

Step-by-step explanation:

bc i used a calculator and it said so

4 0
3 years ago
Write (n+4)(n+3)(n+2) as a permutation
kenny6666 [7]

Answer:

<h2>1267 456 578 123 679 333 5</h2>

Step-by-step explanation:

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7 0
3 years ago
Please help! I will give you brainliest answer if you answer first and correctly, plus you have to explain!
guapka [62]
Deacon Middle School
5x = number of boys
4x = number of girls
where x is some unknown number for now

(number of boys)+(number of girls) = 270 students total
5x+4x = 270
9x = 270
x = 270/9
x = 30

Since x = 30, this means
number of girls = 4x
number of girls = 4*30
number of girls = 120

There are 120 girls at Deacon Middle School

-----------------------------------------

Similarly, for Meadow Middle school
number of boys = 4y
number of girls = 5y
for some number y

(number of boys) + (number of girls) = 180 students total
4y+5y = 180
9y = 180
y = 180/9
y = 20

making,
number of girls = 5*y
number of girls = 5*20
number of girls = 100

so there are 100 girls at Meadow Middle School

-----------------------------------------

In summary so far, there are...
120 girls at Deacon Middle School
100 girls at Meadow Middle School
In total 120+100 = 220 girls from both schools

This is out of 270+180 = 450 students total

Divide the two values (220 and 450) to get
220/450 = 22/45

The final answer is 22/45
It cannot be reduced further as there are no common factors (other than 1) between 22 and 45

7 0
3 years ago
Jonathan is driving to his grandma’s house. Jonathan’s car is going 75 mph and he has to go 340 miles still. Brighton, Jonathan’
Karo-lina-s [1.5K]

Answer:

Johanatho will get in 4.53 hours. joahnathons cousin will take 4.57 hours.

Step-by-step explanation:

340/75=4.53

320/70=4.57

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