1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zepelin [54]
3 years ago
9

100 points pls help

Mathematics
1 answer:
Travka [436]3 years ago
8 0

Answer:

  • Part A: $12,220
  • Part B: $12,134.08
  • Part C: First option
  • Parte C: Second option.

Explanation:

Part A: 7.4% simple interest

  • r = 7.4% = 0.074
  • P = $10,000
  • t = 3 years

Formula: A=P+Prt

Calculations:

        A=$10,000+$10,000(7.4\%)(3)\\\\  A=\$10,000+\$10,000(0.074)(3)\\\\  A=\$12,220

<u>Part B: 6.5% compounded quaterly</u>

  • r = 6.5% = 0.065
  • n = 4
  • P = $10,000
  • t = 3 years

Formula:

         A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}

Substitute and compute:

        A=\$10,000\bigg(1+\dfrac{0.065}{4}\bigg)^{(4\times3)}

        A=\$12,134.08

<u>Part C: Which investement is better</u>

Over the first three years the first option, 7.4% per year simple interest, is a better investment, because the value of its value is $12,220 - $12,134.0 = $85.94 greater than the second option.

<u />

<u>Part D: Recomendation</u>

If George is unsure how long he will keep the money in the account, I would recommend to use the second option, because the compounded interest will overcome the simple interest, since the year 5.  You can show that with a table:

Value of A in $:

Year         Simplet intertest                         Compound interest

1                10,000 + 10,000(0.074)(1)             10,000(1 + 0.0650/4)¹

                 10,740                                           10,666

2              10,000 + 10,000(0.074)(2)             10,000(1 + 0.065/4)²

                11,480                                              11,376

3             10,000 + 10,000(0.074)(3)               10,000(1 + 0.0650/4)³

              12,220                                               12,314

4             10,000 + 10,000(0.074)(4)               10,000(1 + 0.065/4)⁴

              12,960                                               12,942

5             10,000 + 10,000(0.074)(5)                10,000(1 + 0.065/4)⁵

              13,700                                                13,804

You might be interested in
In the figure, AB || CD and mZ2 = 55°.
Travka [436]

Answer:

m <2=m <8(Alternative exterior angles)

Therefore m <8=55°

4 0
2 years ago
Consider the following graph of two functions,S(1) + 8(2)Step 1 of 2: Finds (1) + 8(2)Enable Zoom/Pan8(x) = x2 - 2x - 1S(x) = -x
kumpel [21]

.Given:

\begin{gathered} f(x)=-x+1 \\ g(x)=x^2-2x-1 \end{gathered}

ToDetermine: The value of

f(1)+g(2)

Solution

\begin{gathered} f(x)=-x+1 \\ f(1)=-1+1 \\ f(1)=0 \end{gathered}\begin{gathered} g(x)=x^2-2x-1 \\ g(2)=(2)^2-2(2)-1 \\ g(2)=4-4-1 \\ g(2)=-1 \\ f(1)+g(2)=0+(-1) \\ f(1)+g(2)=-1 \end{gathered}

Hence, f(1) + g(2) = -1

3 0
1 year ago
Can you organize collections of numbers into mathematical sets?
Bezzdna [24]
Yes by 10's and hundreds and ones place and even and odd. And pine and composite
6 0
3 years ago
Can someone please help
Westkost [7]

Answer: B & D

<u>Step-by-step explanation:</u>

A is not correct because it says "in the city" instead of "in Elan's school"

C is not correct because it says do NOT ....

4 0
3 years ago
Please HELP
krok68 [10]
1 meter = 100 centimeters
2.5 meters = 250 cm
If you use 50 cm, then you have
2 meters or 200 cm left
8 0
3 years ago
Read 2 more answers
Other questions:
  • Plz help!!!
    5·2 answers
  • A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk?
    7·1 answer
  • Write x^3/2 in radical form
    13·1 answer
  • Determine the number of significant figures in 10-L
    9·1 answer
  • Which hill described in the table is the steepest and why?
    8·1 answer
  • May I please have help from anyone thank you so much !
    7·2 answers
  • What is 5(​x​ + 2)+10 simlified?
    7·2 answers
  • A tree that was 30 meters high was broken so that the broken part was 7 times the length of the part that was left
    13·1 answer
  • A line with a slope of 2 passes through the point (9, 10). What is its equation in slope-intercept
    7·1 answer
  • Austin uses a mold to make cone-shaped cupcakes. The diameter of the mold is 12 inches, and
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!