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mafiozo [28]
3 years ago
13

find the future value of a 160,000 certificate of deposit that pays compounded interest every six months at a rate of 4% per yea

r. The CD has term of 5 years
Mathematics
1 answer:
Oxana [17]3 years ago
7 0
\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$160000\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{every six months, so twice}
\end{array}\to &2\\

t=years\to &5
\end{cases}
\\\\\\
A=160000\left(1+\frac{0.04}{2}\right)^{2\cdot 5}
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Answer:

Step-by-step explanation:

Multiplying x+6y=-3 with 2 so its equal to first eqn,

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3 years ago
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1.This circle is centered at the origin and contains the points two units away. Write the equation for this circle.
denis-greek [22]

Answer:

1. The location of the center of the given circle = The origin (0, 0)

The given points on the circumference of the circle = (1, √3), and (0, -2)

The general form of the equation of a circle, is presented as follows

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

∴ (h, k) = (0, 0)

The radius of the given equation is the distance from the center (0, 0) to either the point (0, -2) or (1, √3)

The distance from the center (0, 0) to the point (0, -2), which are points on the same ordinate,  r = y₂ - y₁

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r = 2

The equation of the circle is therefore;

(x - 0)² + (y - 0)² = 2²

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2. When x = 1, and y = √3, we have;

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When x = 0, and y = -2, we have;

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Therefore, the points shown on the circle (1, √3), and (0, -2) satisfy the equation of the circle, x² + y² = 2² and are solutions to the equation of the circle

Step-by-step explanation:

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