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2 years ago

$6000 invested at an APR a 4.4% for 20 years what is the balance in the account after 20 years

Mathematics

1 answer:

butalik [34]2 years ago

6 0

Answer:

The balance in the account after 20 years will be $11280.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$ .

In this problem

We want to find T, when $P = 6000, I = 0.044, t = 20$

The first step is find the earnings due to interest. So

$E = P*I*t = 6000*0.044*20 = 5280$

Adding to the principal to find the balance

$T = E + P = 5280 + 6000 = 11280$

The balance in the account after 20 years will be $11280.

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Which statements describe transformations performed in f (x) = x^2 to create g (x) = 2x^2 + 5? select all that apply.

snow_tiger [21]

Answer:

The statements describe transformations performed in f(x) to create g(x) are:

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a vertical stretch with a scale factor of 2 ⇒ d

Step-by-step explanation:

If f(x) stretched vertically by a scale factor m, then its image g(x) = m·f(x)

If f(x) translated vertically k units, then its image h(x) = f(x) + k

Let us use these rule to solve the question

∵ f(x) = x²

∵ g(x) is created from f(x) by some transformation

∵ g(x) = 2x² + 5

→ Substitute x² by f(x) in g(x)

∴ g(x) = 2f(x) + 5

→ Compare it with the rules above

∴ m = 2 and k = 5

→ That means f(x) is stretched vertically and translated up

∴ f(x) is stretched vertically by scal factor 2

∴ f(x) is translated 5 uints up

The statements describe transformations performed in f(x) to create g(x) are:

a translation of 5 units up

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2 years ago

Does the graph represent a function? Khan Academy

Ierofanga [76]

Answer:

yes

Step-by-step explanation:

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tigry1 [53]

Answer:

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Step-by-step explanation:

From Analytical Geometry we know that a line is represented by this formula:

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Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$k$ - Slope, dimensionless.

$b$ - y-Intercept, dimensionless.

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romanna [79]

Answer:

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Step-by-step explanation:

Given:

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