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juin [17]
3 years ago
6

a tree was 62 inches tall. Three years later, it was 101 inches tall. What was the percent increase, to the nearest hundredth, o

f the growth of the tree?
Mathematics
1 answer:
nignag [31]3 years ago
8 0

Answer:

63% increase.

Step-by-step explanation:

You don't really need to do anything because it's probably a 63% increase as 101 is close to 100 already. If you'd like:

\frac{101-62}{62} *100=

\frac{39}{62} *100=

62.903225806451612903225806451613≈

63%

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What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? A. (-1, -3)
Naddik [55]
ANSWER

The turning point is

(1,-3).


EXPLANATION


The function given to us is

f(x) = (x - 1) ^{3}  - 3

At turning point,
f  '(x) = 0

So we need to differentiate the given function and equate it to zero.



We using the chain rule of differentiation, we obtain,
f '(x) =3 (x - 1) ^{2}

We equate this to zero to obtain,




3 (x - 1) ^{2}   = 0



We divide through by 3.


(x - 1) ^{2}   = 0

We solve for x to get,

x - 1 = 0


x = 1


We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.





f(1) = (1- 1) ^{3}  - 3




f(1) = 0 - 3


f(1) = - 3

Therefore the turning point is


(1,-3)

C is the correct answer.
6 0
4 years ago
Read 2 more answers
The equations of four lines are given. Identify which lines are perpendicular.
erma4kov [3.2K]

Answer:

Line 2 and Line 4 are perpendicular

Step-by-step explanation:

Line 2: y=1/5x−3

Line 4: y+1=−5(x+2)

3 0
3 years ago
An aquarium holds 11.35 cubic feet of water, and is 2.8 feet long and 1.5 feet wide. What is its depth? Round your answer to the
arlik [135]

Answer:

3 feet

Step-by-step explanation:

the volume of the aquarium is V= Lx wx H  

it is as of now given that V=11.25 cubic feet, so 11.25=LxWxH  

H tallness and it is the aquarium's profundity  

H=11.25/L xW= 11.25/2.5x1.5= 3 feet

7 0
3 years ago
Read 2 more answers
What property is shown here? (1 x 4) x 3 = 1 x (4 x 3)
irinina [24]
Answer:Associative Property of Multiplication
4 0
4 years ago
A bank loaned out $19,500, part of it at the rate of 11% annual interest, and the rest at 7% annual interest. The total interest
Morgarella [4.7K]

The amount loaned at the interest rate of 11% is $3000.

The amount loaned at the interest rate of 7% is $16,500

<h3>What are the linear equations that represent the question?
a + b = 19500 equation 1</h3>

0.11a + 0.07b = 1485 equation 2

Where:

a = amount loaned at the interest rate of 11%

b = = amount loaned at the interest rate of 7%

<h3>How much was loaned at 11% and 7%</h3>

In order to determine how much was loaned at 7%, take the following steps:

Multiply equation 1 by 0.11:

.11a + 0.11b = 2145 equation 3

Subtract equation 2 from equation 3:

0.04b = 660

Divide both sides by 0.04:

b = 16,500

Subtract 16,500 from 19,500 :

19,500 - 16,500 = $3000

To learn more about interest, please check: brainly.com/question/26164549

#SPJ1

7 0
2 years ago
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