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Paha777 [63]
2 years ago
8

You plan to deposit $5,600 at the end of each of the next 20 years into an account paying 10.8 percent interest. a. How much wil

l you have in your account if you make deposits for 40 years
Mathematics
1 answer:
rjkz [21]2 years ago
8 0

1 answer

1a. If you deposit $5,600 at the end of each of the next 20 years into an account paying 10.8 percent interest, how much money will you have in the account ...

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Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

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3 years ago
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The table represents an exponential function. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4
scoray [572]

Answer:

The multiplicative rate of change of the function is \dfrac{2}{3}

Step-by-step explanation:

You are given the table

\begin{array}{cc}x&y\\ \\1&6\\2&4\\ \\3&\dfrac{8}{3}\\ \\4&\dfrac{16}{9}\end{array}

An exponential function can be written as

y=a\cdot b^x,

where b is the multiplicative rate of change of the function.

Find a and b. Substitute first two corresponding values of x and y into the function expression:

6=a\cdot b^1\\ \\4=a\cdot b^2

Divide the second equality by the first equality:

\dfrac{4}{6}=\dfrac{a\cdot b^2}{a\cdot b^1}\Rightarrow b=\dfrac{2}{3}

Substitute it into the first equality:

6=a\cdot \dfrac{2}{3}\Rightarrow a=\dfrac{6\cdot 3}{2}=9

So, the function expression is

y=9\cdot \left(\dfrac{2}{3}\right)^x

Check whether remaining two values of x and y suit this expression:

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So, the multiplicative rate of change of the function is \dfrac{2}{3}

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3 years ago
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