Determine the effective rate for $1 for 1 year at 5.9% compounded quarterly.

1 answer:

8 0

Keeping in mind that the effective rate, is in effect the APY or Annual Percentage Yield,

$\bf \qquad \qquad \textit{Annual Yield Formula}
\\\\
~~~~~~~~~\left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 5.9\%\to \frac{5.9}{100}\to &0.059\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four times}
\end{array}\to &4
\end{cases}
\\\\\\
\left(1+\frac{0.059}{4}\right)^{4}-1\implies (1.01475)^4-1 \approx 0.0603
\\\\\\
0.0603\cdot 100\implies \stackrel{\%}{6.03}$

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Determine the longest side in ΔDEF.

Helen [10]

Option D:

Segment DF

Solution:

Let us first define the relationship between the side and angle in triangle.

<u>Relationship between the side and angle in triangle:</u>

The shortest side is always opposite to the smallest interior angle.
The largest side is always opposite to the largest interior angle.

To find the largest side in ΔDEF:

Largest angle in ΔDEF is ∠E = 73°

So, the side opposite to 73° is DF.

Therefore, Option D is the correct answer.

Hence the segment DF is the longest side in the ΔDEF.

6 0

3 years ago

Read 2 more answers

Solve:7 +42-32-32 = 14.3-2a +7<br> A = -3<br> A= 0<br> A= 3<br> no solution

madreJ [45]

Answer:

a = 18.15

Step-by-step explanation:

$7+42-32-32=14.3-2a+7$

Combine like terms on the left side of the equation first. Add 7 and 42, then subtract 32 from the answer you get, then subtract 32 from that answer. This is going by order of PEMDAS.

Remember PEMDAS: (numbers 3 & 4 and numbers 5 & 6 are solved from left to right)