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4 years ago

What is the correct answer of 1/3

1 answer:

8 0

The correct answer of 1/3 is the decimal form of it which is 0.3 repeated (you can put a line on top of the 3). If not just leave it as 1/3 it is simplified as a fraction.

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Find the doubling time of an investment earning 8% interest if interest is compounded continuously. The doubling time of an inve

Vitek1552 [10]

Answer:

Step-by-step explanation:

Using FV = PV(1 + r)^n where FV = future value, PV = present value, r = interest rate per period, and n = # of periods

1/PV (FV) = (PV(1 + r^n)1/PV divide by PV

ln(FV/PV) = ln(1 + r^n) convert to natural log function

ln(FV/PV) = n[ln(1 + r)] by simplifying

n = ln(FV/PV) / ln(1 + r) solve for n

n = ln(2/1) / ln(1 + .08) solve for n, letting FV + 2, PV = 1 and rate = 8% or .08 compound annually

n = 9

n = ln(2/1) / ln(1 + .08/12) solve for n, letting FV + 2, PV = 1 and rate = .08/12 compound monthly

n = 104 months or 8.69 years

n = ln(2/1) / ln(1 + .08/365) solve for n, letting FV + 2, PV = 1 & rate = .08/365 compound daily

n = 3163 days or 8.67 years

Alternatively

A = P e ^(rt)

Given that r = 8%

= 8/100

= 0.08

2 = e^(0.08t)

ln(2)/0.08 = t

0.6931/0.08 = t

t= 8.664yrs

t = 8.67yrs

Which ever approach you choose to use,you will still arrive at the same answer.

5 0

4 years ago

Transformation Rule: Translate 4 units right and 3 units up. B Х A

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

Translation of a point (h, k) by 'a' units to the right and 'b' units upwards is defined by,

(h, k) → (h + a, k +b)

Coordinates of A → (-4, -2)

Coordinates of B → (1, -1)

Coordinates of C → (0, -5)

If these points are shifted 4 units right and 3 units up,

By applying rules of the translation,

Coordinates of image point A' → (-4 + 4, -2 + 3)

→ (0, 1)

Coordinates of B' → (1 + 4, -1 + 3)

→ (5, 2)

Coordinates of C' → (0 + 4, -5 + 3)

→ (4, -2)

Now plot these points on the graph.

6 0

3 years ago

Students are planning a 3 day hiking trip in the mountains. The hike covers a distance of 18.5 kilometers. The students hike 0.2

Fudgin [204]

The students will hike 9.11 KM on day three.

3 0

3 years ago

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The is the mean score ? A.25.5 B.26 C.

pentagon [3]

So to find the mean you add up all the numbers (or the exam scores) which will get you 212 then you take the number and divide it by the total numbers in the set (how many numbers did you add up?)

212 divided by 8 is 26.5 which would be C. I hope this helps!

5 0

3 years ago

What is 7% as a number?

vesna_86 [32]

Answer:

0.07

Step-by-step explanation:

Step 1: Convert into a number

7% / 100

0.07

Answer: 0.07

6 0

3 years ago

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