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Juliette [100K]
3 years ago
10

$6000 is invested in an account that earns 4.5% annual interest, compounded continuously. What is the value of the account after

8 years.
Mathematics
1 answer:
mario62 [17]3 years ago
8 0

Answer:

Convert   4.5% to a decimal. 6000,0.045, 8 years

Step-by-step explanation:

I used math--way

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Adam cut a piece of string 42 inches long into 2 pieces. The ratio of the length of the 2 peices is 3:4, what is the length, to
jek_recluse [69]

Answer:

Shorter piece length is 18 inches

Step-by-step explanation:

Let's marked first piece with x and second with y

x + y = 42

Given ratio is x : y = 3 : 4

From this proportion we get

x = 3 c  and y = 4 c   where c is coefficient of proportionality

when we replace this in initial equation we get

3 c + 4 c = 42 => 7 c = 42 => c = 42/7 = 6    c = 6

x = 3 · 6 = 18 inches  and z = 4 · 6 = 24 inches

shorter piece is x = 18 inches

God with you!!!

6 0
3 years ago
What does (f(x)) mean in math for a input and output graph?
shtirl [24]

In maths, f (x) means as a special relationship where every single input has one output.

<u>Step-by-step explanation:</u>

In mathematics, a function is any expression that gives exactly one answer for each particular number. Input is the number provided in the expression, and output is the number obtained from the search or calculation.

In an ordered pair, input’s first number corresponds to the horizontal axis, and output’s second number in the vertical axis. These ordered pairs can then be plotted. Some data on the costs associated with this are called relationships. For example,

             f(x)=x^{2}

It is often written as "f (x)" where x is the input value and x^{2} is the output value.

3 0
3 years ago
Which is the completely factored form of the following equation?<br><br> 4a4b2−21a2b+5=0
r-ruslan [8.4K]

The completely factored equation is (a²b - 5)(4a²b - 1)

<h3>How to factor equation?</h3>

4a⁴b² - 21a²b + 5 = 0

let's expand the equation

Therefore,

4a⁴b² - 21a²b + 5 = 0

4a⁴b² - 20a²b  - a²b + 5 = 0

Rearrange the equation

4a⁴b² - a²b  - 20a²b + 5 = 0

Let's factorise the equation

4a⁴b² - a²b  - 20a²b + 5 = 0

a²b(4a²b - 1) - 5(4a²b - 1) = 0

Therefore, the completely factored equation is as follows:

a²b(4a²b - 1) - 5(4a²b - 1) = 0

(a²b - 5)(4a²b - 1)

learn more on equation here: brainly.com/question/8842252

#SPJ1

4 0
1 year ago
The following functions give the populations of four towns with time tt in years.
expeople1 [14]

Solution :

Transforming given equations :

1)\ P = 600( 1 + \dfrac{12}{100})^t\\\\2)\ P = 1000( 1 + \dfrac{3}{100})^t\\\\3)\ P = 200( 1 + \dfrac{8}{100})^t\\\\4)\ P = 900( 1 - \dfrac{10}{100})^t

From above equations we can see that equation 1) has largest percentage growth rate and the percent growth rate is 12% .

Hence, this is the required solution.

6 0
3 years ago
Read 2 more answers
He drank 2 small bottles and 2 large bottles, for a total of 76 ounces. The day before, he drank 4 small bottles and 1 large bot
AVprozaik [17]

Answer: the small bottle holds 15 ounces while the large bottle holds 23 ounces.

Step-by-step explanation:

Let x represent the number of ounces that a small bottle holds.

Let y represent the number of ounces that a large bottle holds.

He drank 2 small bottles and 2 large bottles, for a total of 76 ounces. It means that

2x + 2y = 76 - - - - - - - - - - - - 1

The day before, he drank 4 small bottles and 1 large bottle, for a total of 83 ounces. This means that

4x + y = 83 - - - - - - - - - - - - -2

Multiplying equation 1 by 2 and equation 2 by 1, it becomes

4x + 4y = 152

4x + y = 83

Subtracting, it becomes

3y = 69

y = 69/3 = 23 ounces

Substituting y = 23 into equation 1, it becomes

2x + 2 × 23 = 76

2x + 46 = 76

2x = 76 - 46 = 30

x = 30/2 = 15 ounces

4 0
3 years ago
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