3. Compute the nominal annual rate of interest compounded semi-annually on a loan of $48000 repaid in

5 answers
Question:

3. Compute the nominal annual rate of interest compounded semi-annually on a loan of $48000 repaid in installments of $4000 at the end of every 6 months in 10 years.

Answers

Rate = 51.74%

Step-by-step explanation:

Principal amount= $48000

Amount paid is done 2 times in a year for ten years

= $4000*2*10

Amount paid= $80000

A= p(1+r/n)^nt

80000= 48000(1+r/20)^(20*10)

(80000/48000)= (1+r/20)^(200)

(200)√(1.6667)= 1+ r/20

1.025870255-1= r/20

0.025870255*20= r

0.5174= r

Rate in decimal= 0.5174

In percentage= 51.74%

1.$3,187.69       Rounded= $3,187.70
2. $8,456.03
3. $39,846.20
4. Is that the whole problem?

[tex]\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 &\$4000\\
r=rate\to 2\%\to \frac{2}{100}\to &0.02\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &4
\end{cases}
\\\\\\
A=4000\left(1+\frac{0.02}{1}\right)^{1\cdot 4}\implies A=4000(1.02)^4\implies A\approx 4329.73[/tex]

then she turns around and grabs those 4329.73 and put them in an account getting 8% APR I assume, so is annual compounding, for 7 years.

[tex]\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 &\$4329.73\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &7
\end{cases}
\\\\\\
A=4329.73\left(1+\frac{0.08}{1}\right)^{1\cdot 7}\implies A=4329.73(1.08)^7\\\\\\ A\approx 7420.396[/tex]

add both amounts, and that's her investment for the 11 years.

a. $4,415.25

b. $4,376.70

c. 2.27986 years

Step-by-step explanation:

a.

A = 4,000 (1 + 0.05/2)^(2 x 2)

   = $4,415.25

b.

A = 4,000 x e^(0.045 x 2)

   = $4,376.70

c. $100 more than option 2 = 4,376.70 + 100

                                              = $4,476.70

t (in years) = ln(4,476.70/4,000) /  ln(1 + 0.05/2)

                 = 2.27986 years

For the first question water and electric bill since they are bills that you have to pay
Second Question is 846,285 since I think you add them together And I can't answer the last to parts

Similar Solved Works

4 answers

Suppose the price index was 100 in 2004, 118 in 2005, and the inflation rate was lower between 2005 and 2006 than it was between 2004 and

Suppose the price index was 100 in 2004, 118 in 2005, and the inflation rate was lower between 2005 and 2006 than it was between 2004 and 2005. This means that a. the price index in 2006 was lower than 118. b. the price index in 2006 was lower than 136. c. the price index in 2006 was lower than 139....
4 answers

A mole of hydrogen gas with a volume of 0.080 m³ is compressed adiabatically to half of its original volume. If the initial average kinetic energy per

A mole of hydrogen gas with a volume of 0.080 m³ is compressed adiabatically to half of its original volume. If the initial average kinetic energy per hydrogen molecule is 1.38x10^-20 J, what are the initial and the final pressure of the hydrogen gas? Assume that hydrogen is a diatomic gas.​...
4 answers

1. What made the EPA so successful in fighting pollution?It was supported by the President and the American people.It

1. What made the EPA so successful in fighting pollution? It was supported by the President and the American people. It had the power to shut down polluting factories and businesses. It worked outside the federal government. It was associated with Earth Day....
5 answers

Can someone please answer this?xThank you :)

Can someone please answer this?x Thank you :) [tex]Can someone please answer this?x Thank you :)[/tex]...
3 answers

1. Buenos Aires tiene una de las culturas de café .a) más insignificantes de Europa b) más famosas del mundo 2. Los cafés

1. Buenos Aires tiene una de las culturas de café .a) más insignificantes de Europa b) más famosas del mundo 2. Los cafés de Buenos Aires .a) son un centro de reunión exclusivo de intelectuales y artistas b) desempeñan un papel clave en la vida social y la cultura popular argentina....
3 answers

Almost all enzymes are what class of organic molecule?

Almost all enzymes are what class of organic molecule?...
3 answers

A manufacturer might delay the final stages of production for a product with high variety until orders are actually received

A manufacturer might delay the final stages of production for a product with high variety until orders are actually received in order to better match supply with demand without resorting to excessive inventories. This approach is known as....
3 answers

What technique can be used to improve the overall organization of your draft?

What technique can be used to improve the overall organization of your draft?...
4 answers

Substitution with negative numbers Evaluate 2 – (-4) + (-y) where y = 7. Stuck? Watch a video or use a hint.​

Substitution with negative numbers Evaluate 2 – (-4) + (-y) where y = 7. Stuck? Watch a video or use a hint.​ [tex]Substitution with negative numbers Evaluate 2 – (-4) + (-y) where y = 7. Stuck? Watch a video or us[/tex]...
4 answers

Angel is researching the original sound films, known as talkies.

Angel is researching the original sound films, known as talkies....
3 answers

Geraldine wants to discover a mineral location. which type of map should she use?

Geraldine wants to discover a mineral location. which type of map should she use?...
5 answers

What is the percent composition of silicon in silicon carbide (sic)? a. 28% b. 50% c.

What is the percent composition of silicon in silicon carbide (sic)? a. 28% b. 50% c. 70% d. 142%...
4 answers

I am giving lots of points to who can tell me the conjugations of the verbs in the parenthesis (you can list the words in

I am giving lots of points to who can tell me the conjugations of the verbs in the parenthesis (you can list the words in order) Y usted, ¿cómo se ? (llamar) Yo no la televisión durante la semana. (mirar) Tú y Vicente bien. (nadar) ¿Cuánto tú por la blusa?(pagar) ¿A qué hora la clase...
3 answers

Some scholars have argued that because most of ibn battuta’s account of the places his visited are from memory they are

Some scholars have argued that because most of ibn battuta’s account of the places his visited are from memory they are not reliable?...
12 answers

The circumference of a circle is 15π centimeters. What is the area of the circle in terms of π ?7.5πcm^215πcm^256.25πcm^2225πcm^2

The circumference of a circle is 15π centimeters. What is the area of the circle in terms of π ? 7.5πcm^2 15πcm^2 56.25πcm^2 225πcm^2...
10 answers

The equation shows the relationship between x and y: y = −9x + 5 What is the slope of the equation? (4 points) −14 −9

The equation shows the relationship between x and y: y = −9x + 5 What is the slope of the equation? (4 points) −14 −9 −4 5...
2 answers

Eva and liam are reading a novel in their english class. liam has read 17 less pages than eva has. if they have read 265 pages

eva and liam are reading a novel in their english class. liam has read 17 less pages than eva has. if they have read 265 pages combined how many many pages has liam read...
5 answers

Write a linear equation that passes through the points (1,-6) and (-3, 10) *HAHAHA HELP PLS

Write a linear equation that passes through the points (1,-6) and (-3, 10) * HAHAHA HELP PLS [tex]Write a linear equation that passes through the points (1,-6) and (-3, 10) * HAHAHA HELP PLS[/tex]...
4 answers

Pleaseee help, I’m in a rush right now.In a right triangle with the shortest side 3 and hypotenuse 5, find the number of degrees in

Pleaseee help, I’m in a rush right now. In a right triangle with the shortest side 3 and hypotenuse 5, find the number of degrees in the angle opposite the shortest side. Show work....
10 answers

G IrLS come for Fun krteqtrzrv​

G IrLS come for Fun krteqtrzrv​...

-- 0.050500--