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Art [367]
3 years ago
14

Independent practice constant rate of change

Mathematics
1 answer:
KatRina [158]3 years ago
8 0
<span>Mathematical Practices between any two quantitles is the same.

</span>
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The rule of 72 is used to determine how long it will take an investment to ___. For an Investment of $5,000 earning 7% annually,
Gnom [1K]

Answer:

The rule of 72 is used to determine how long it will take an investment to Double

For an Investment of $5,000 earning 7% annually, this will take about ten years

Step-by-step explanation:

The rule of 72 says that to find the number of years required to double your money at a given interest rate, you just divide 72 by the interest rate

Example:

If you want to know how long it will take to double your money at 9% interest, divide 72 by 9 you will get 8 years

The formula of the rule of 72 is Y = \frac{72}{r}

Let us complete the missing

The rule of 72 is used to determine how long it will take an investment to Double

The missing word is "Double"

∵ The investment is $5,000

∵ The annual interest is 7%

- By using the rule of 72

∵ Y = \frac{72}{r}

∵ r = 7

∴ Y = \frac{72}{7}

∴ Y = 10.29

- Round it to the nearest year

∴ Y ≅ 10 years

For an Investment of $5,000 earning 7% annually, this will take about ten years

The missing word is "ten"

5 0
3 years ago
A vehicle travels 57 kilometers north and then travels 26 kilometers south. What is the current position of the vehicle? (2 poin
solniwko [45]

Answer:

C. 31 kilometers north of its starting location

Step-by-step explanation:

<em>Please see attached a rough sketch of the situation for your reference</em>.

Step one:

Displacement North= 57km

Displacement South= 26km

Required

The  final displacement

The current position is attained by subtracting 26km from 57km

=57-26= 31km

Therefore the current position is

C. 31 kilometers north of its starting location

5 0
3 years ago
Which angles are corresponding angles?
konstantin123 [22]

Answer:

A. 7 and 3

&

B. 1 and 5

Step-by-step explanation:

Corresponding angles are a pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

The answers are:

•8 and 4

•5 and 1

•7 and 3

•6 and 2

I hope this helps! I'm sorry if it's wrong.

3 0
3 years ago
Find f^3(x) for f(x)=4/x^2
vaieri [72.5K]

Answer:

  f³(x) = 64/x⁶

Step-by-step explanation:

  f³(x) = (f(x))³ = (4/x²)³ = 4³/(x²)³

  f³(x) = 64/x⁶

_____

The applicable rules of exponents are ...

  (a/b)^c = (a^c)/(b^c)

  (a^b)^c = a^(bc)

7 0
3 years ago
Use the theoretical probability formula to solve the problem. Express the probability as a fraction
serg [7]

Answer:

c. 3 / 13

d. 2 / 13

Step-by-step explanation:

c.

A deck of cards has 52 cards. There are cards of 4 suits- Spades, Hearts, Diamonds and Clubs.

So, there are 52/4= 13 cards of each suit.

Among these 13 cards, there are 3 picture cards or face cards as they are called. These are the Jack, Queen and King cards.

So, the number of total picture cards = 4*3 = 12

the number of cards are 52

theoretical probability formula: P =  favorable events/  possible events

P = 12 / 52

P = 3 / 13

d.

there are four aces and four sevens in the deck

so favorable events = 4 + 4 = 8

possible eventas = 52

P = 8 / 52

P = 2 / 13

4 0
3 years ago
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