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3 years ago

A quantity with an initial value of 600 decays exponentially at a rate of

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

8 0

Answer:

The value of the quantity after 87 months will be of 599.64.

Step-by-step explanation:

A quantity with an initial value of 600 decays exponentially at a rate of 0.05% every 6 years.

This means that the quantity, after t periods of 6 years, is given by:

$Q(t) = 600(1 - 0.0005)^{t}$

What is the value of the quantity after 87 months, to the nearest hundredth?

6 years = 6*12 = 72 months

So 87 months is 87/72 = 1.2083 periods of 6 years. So we have to find Q(1.2083).

$Q(t) = 600(1 - 0.0005)^{t}$

$Q(1.2083) = 600(1 - 0.0005)^{1.2083} = 599.64$

The value of the quantity after 87 months will be of 599.64.

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Triangle ABC translates to triangle ABC describe the translation in terms of X and Y Directions

mina [271]

Answer:

(x + 6, y - 6).

Step-by-step explanation:

6 units to the right and 6 units down =

(x + 6, y - 6).

8 0

3 years ago

What is the value of 7(4 + x) when x = 5?

NikAS [45]

Step-by-step explanation:

❉ $\underline{ \underline{ \sf{Given}}} :$

x = 5

❉ $\underline{ \underline{ \sf{To \: find}}} :$

value of 7 ( 4 + x )

Plug the value of x and simplify :

⟿ $\sf{7(4 + 5)}$

Add the numbers : 4 and 5

⟿ $\sf{7 \times 9}$

Multiply 7 by 9

⟿ $\boxed{ \sf{63}}$

$\red{ \boxed{ \boxed{ \tt{⇾Our \: final \: answer : 63}}}}$

Hope I helped ! ♪

Have a wonderful day / night ! ツ

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8 0

3 years ago

While in flight, a hot air balloon decreases its elevation by 83 2/5 meters and then increases its elevation by 83.7 meters

Pachacha [2.7K]

An inequality which compares the changes in elevation of this hot air balloon while in flight is given by L - 83 2/5 ≤ L ≤ L + 83.7.

<h3>What is an elevation?</h3>

An elevation is also referred to as an altitude and it can be defined as the vertical distance (height) above a natural satellite or the surface of planet Earth such as land or sea level.

This ultimately implies that, an elevation (altitude) simply refers to the vertical height (elevation) of an object or physical body above a particular location or planetary reference plane such as land or sea level on planet Earth.

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments (symbols):

Less than (<).
Greater than (>).
Less than or equal to (≤).
Greater than or equal to (≥).

For this exercise, let the variable L represent the initial height of this balloon. Also, since the hot air balloon decreased its elevation by 83 2/5 and increases its elevation by 83.7 meters, we have the following: