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Phantasy [73]
3 years ago
13

The APR of Caesar's savings account is 3.6% and interest is compounded monthly the principal and Cesar savings account with $6,6

00 for an entire year what will be the balance of his account after the interest is paid for the year
Mathematics
2 answers:
ra1l [238]3 years ago
8 0

Answer:

6841 apex approved

Step-by-step explanation:

Kaylis [27]3 years ago
4 0

Answer:

$6841.56

Step-by-step explanation:

formula for compound interest is

A = P (1+\frac{r}{n})^{n*t}

P is the initial amount= 6600

r is the rate of interest = 0.036

t is the number of years = 1

n = compounded monthly = 12

plug in the values in the formula

A = 6600(1+\frac{0.036}{12})^{12*1}

A = 6600(1.003)^{12*1}

A= 6841.55986990

$6841.56 is the balance of his account after the interest is paid for the year


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Answer:

\textsf{12.} \quad y = 6x - 5

\textsf{17.} \quad y=-\dfrac{1}{4}x-2

Step-by-step explanation:

<h3><u>Question 12</u></h3>

Find the slope of the line by substituting two points from the given table into the slope formula.

<u>Define the points</u>:

  • Let (x₁, y₁) = (2, 7)
  • Let (x₂, y₂) = (3, 13)

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{13-7}{3-2}=\dfrac{6}{1}=6

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:

\implies y-y_1=m(x-x_1)

\implies y-7=6(x-2)

\implies y-7=6x-12

\implies y=6x-5

<h3><u>Question 17</u></h3>

Given:

  • f(4) = 3
  • f(0) = -2

Therefore, two points on the line are:

  • (4, -3)
  • (0, -2)

The y-intercept is the y-value when x = 0.

Therefore, the y-intercept of the line is -2.

\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}

Substitute the y-intercept and the point (4, 3) into the slope-intercept formula and solve for <em>m</em> to find the slope:

\implies y=mx+b

\implies -3=m(4)-2

\implies -1=4m

\implies m=-\dfrac{1}{4}

Therefore, the equation of the line is:

y=-\dfrac{1}{4}x-2

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Answer:

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