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gogolik [260]
2 years ago
9

John Smith made a one year investment that generated a nominal return of 6% or $3000. The real return was $2000. What was the or

iginal investment amount? what was the annual inflation rate? Macroeconomic
Mathematics
1 answer:
nata0808 [166]2 years ago
3 0

The nominal value - without discounting the inflation rate - of income was $ 3000.

If the interest rate was 6%, a rule of three is enough to find the value of the original investment.

3000 - 6%

x - 100%

x = 50,000

The value of the investment was $ 50,000

In this case, the inflation rate also requires a simple calculation.

Inflation corroded $ 1000 dollars of income of $ 3000

Therefore the inflation rate will be 1000/3000 = 33.3%

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In the trapezoid ABCD ( AB ∥ CD ) point M∈ AD , so that AM:MD=3:5. Line l ∥ AB and going trough point M intersects diagonal AC a
geniusboy [140]

Answer:

BC:BN=8:3

Step-by-step explanation:

ABCD is a trapezoid and there is a point m which belongs to AD such that AM:MD=3:5.Line "l" parallel to AB intersects the diagonal AC at p and BD at N.

Now, we know that the parallel lines divide the transversal into the segments with equal ratio, therefore, BN:NC=AM:MD

But, BC= BN+NC

Therefore, BC:BN=(BN+NC):BN

⇒BC:BN=(3+5):3

⇒BC:BN=8:3


4 0
2 years ago
PLEASE HELP, I’ve been stuck on this question for a whileIn the diagram, AB is divided into equal parts. The coordinates of poin
castortr0y [4]
AB is divided into 8 equal parts and point C is 1 part FROM A TO B, so the ratio is 1:7, with C being 1/7 of the way.  The ratio is k, found by writing the numerator of the ratio (1) over the sum of the numerator and denominator (1+7).  So our k value is 1/8.  Now we need to find the rise and the run (slope) of the points A and B.  m= \frac{5-9}{9-(-3)}.  That gives us a rise of -4 and a run of 12.  The coordinates of C are found in this formula: C(x,y)=[ x_{1} +k(run), y_{1} +k(rise)].  Filling in accordingly, we have C(x,y)=[-3+ \frac{1}{8}(12),9+ \frac{1}{8}(-4)] which simplifies a bit to C(x,y)=(-3+ \frac{3}{2},9- \frac{1}{2}).  Finding common denominators and doing the math gives us that the coordinates of point C are (- \frac{3}{2}, \frac{17}{2}).  There you go!
3 0
2 years ago
Read 2 more answers
Given that d is the midpoint of line segment ab and k is the midpoint of line segment bc, which statement must be true? (May giv
slega [8]

Answer:

B is the midpoint of line segment AC

3 0
2 years ago
The value of a car is 18,500. It loses 10.3% of its value every year. Find the approximate monthly decrease in value. Round your
valentina_108 [34]

Answer:

$158.8

Step-by-step explanation:

There are 12 months in 1 year.

If in 1 year, it looses value of 10.3%, so in a month it will loose value of:

10.3%/12 = 0.8583% per month

So, to find the decreased value (in dollars) per month, we got to find 0.8583% of 18,500 dollars.

First, we need to convert percentage to decimal by dividing by 100. Then we multiply that to 18,500 to get our answer. So:

0.8583% = 0.8583/100 = 0.008583

Now,

0.008583 * $18,500 = $158.7855

Rounded to nearest tenth (1 decimal pae) = $158.8

6 0
2 years ago
Kayla is going to Japan for vacation. She will exchange $300 for Japanese yen. The exchange rate is $1=85.74 yen. How many yen w
Nezavi [6.7K]

Answer:

25,722 yen

Step-by-step explanation:

300x85.74 is the simplest way to do this and I am just adding words to compete this

7 0
2 years ago
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