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Sveta_85 [38]
2 years ago
9

A bank offers a money market account paying 4.9% interest compounded semiannually. A competing bank offers a money market accoun

t paying 4.8% interest compounded daily. Which account is the better investment?
Mathematics
1 answer:
soldier1979 [14.2K]2 years ago
4 0
Assume $1000 at 4.9% semi-annually = <span>$1,049.60
Assume $1000 at 4.8% daily = </span><span> $1,049.17

Let's try a bigger number $50'000 </span>4.9% semi-annually<span> $52,480.01
</span>                                           $50,000 4.8% daily = <span>             $52,458.37
It's a wash, the question is how long will you be investing, that might make a difference. I calculated 12 Millions over 6 years and bank A would be the better choice. Semi-annual compounded at 4.9%</span>
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\bf \begin{array}{lccclll}&#10;&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\&#10;&------&------&------\\&#10;\textit{Car A}&d&r&2\\&#10;\textit{Car B}&d&r+15&1.5&#10;\end{array}&#10;\\\\\\&#10;\begin{cases}&#10;\boxed{d}=2r\\&#10;d=1.5(r+15)\\&#10;----------\\&#10;\boxed{2r}=1.5(r+15)&#10;\end{cases}&#10;\\\\\\&#10;2r=1.5r+22.5\implies 0.5r=22.5\implies r=\cfrac{22.5}{0.5}\implies \boxed{r=\stackrel{mph}{45}}

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5 0
3 years ago
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If anyone can help me out I would truly appreciate it <br> Please show me step by step
wel

Answer:

5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

0.3y + y/z

<em>y</em> = 10

<em>z</em> = 5

<u>Step 2: Evaluate</u>

  1. Substitute in variables:                                                                                     0.3(10) + 10/5
  2. Multiply:                                                                                                             3 + 10/5
  3. Divide:                                                                                                               3 + 2
  4. Add:                                                                                                                   5
3 0
2 years ago
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