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Alecsey [184]
3 years ago
14

Sofia invests her money in an account paying 7% interest compounded semiannually. What is the effective annual yield on this acc

ount? Enter your response as a percentage rounded to two decimal places and omit the percentage sign
Mathematics
1 answer:
vfiekz [6]3 years ago
4 0

Answer:

7.12

Step-by-step explanation:

The formula for the effective annual yield is given as:

i = ( 1 + r/m)^m - 1

Where

i = Effective Annual yield

r = interest rate = 7% = 0.07

m= compounding frequency = semi annually = 2

i = ( 1 + 0.07/2)² - 1

i = (1 + 0.035)² - 1

= 1.035² - 1

= 1.071225 - 1

= 0.071225

Converting to percentage

0.071225 × 100

= 7.1225%

Approximately to 2 decimal places = 7.12

Therefore, the annual effective yield = 7.12

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15

Step-by-step explanation:

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4 years ago
Are vertical asymptotes determined by inspecting the numerator of a rational equation
Luden [163]

Hello!


Sadly no, vertical asymptotes are determined by setting the denominator of a rational function to zero and then by solving for x.

3 0
3 years ago
A basket of food is sufficient to feed 10 persons for 3 days. How many days would it last for 5 persons? ​
Norma-Jean [14]

Answer:

6 days the food would last for 5 persons.

Step-by-step explanation:

It would take double the days normally, as less people.

10 persons → 3 days

1 persons → (3 * 10) days

                → 30 days

5 persons → 30/5

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3 years ago
Read 2 more answers
1 over the square root of 8 = 4^(m − 2)?
andrew11 [14]

Answer:

5.5

Step-by-step explanation:

\frac{1}{ \sqrt{8} }  =  {4}^{(m - 2)}  \\

Squaring both sides

\frac{1}{8}  =  {4}^{2(m - 2)} \\   \frac{1}{8} =   {4}^{2}   \times  {4}^{(m - 2)}  \\  \frac{1}{8 \times  {4}^{2} }  =  {4}^{(m - 2)}  \\   \frac{1}{8 \times 16}  =  {4}^{(m - 2)}  \\  \frac{1}{128}  =  {4}^{(m - 2)}  \\  log_{4}(128)  = (m - 2) \\  \frac{7}{2}  = m - 2 \\ m =  \frac{11}{2}  = 5.5

7 0
4 years ago
What is the surface area of the rectangular prism?
algol [13]

let me lie down this prism.

Check the picture below.

so the prism is really 6 rectangles stacked up to each other at the edges, so we can simply get the area of each rectangle and sum them up.

\bf \stackrel{rectangles}{\stackrel{\textit{top and bottom}}{2(3.5\cdot 9)}~~~~+~~~~\stackrel{\textit{left and right}}{2(9\cdot 5)}~~~~+~~~~\stackrel{\textit{front and back}}{2(3.5\cdot 5)}} \\\\\\ 63+90+35\implies 188

8 0
4 years ago
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