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Rus_ich [418]
2 years ago
9

If the nominal rate of interest is 10% per annum and there is quarterly compounding, the effective rate of interest will be: a)

10% per annum b) 10.10 per annum c) 10.25%per annum d) 10.38% per annum​
Mathematics
1 answer:
sdas [7]2 years ago
6 0

9514 1404 393

Answer:

  d) 10.38%

Step-by-step explanation:

The multiplier for four quarters of quarterly compounding is ...

  (1 +10%/4)^4 = 1.025^4 = 1.103812890625

This is about 1 + 10.38%.

The effective rate of interest is about 10.38% per annum.

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Two unique letters are chosen at random from the alphabet.
ElenaW [278]
A - choosing letter A first

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|A|=1\cdot25=25\\\\
P(A)=\dfrac{25}{25\cdot26}=\dfrac{1}{26}\approx0.0385
7 0
2 years ago
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What is the following product? Assume x greater-than-or-equal-to 0 (4 x StartRoot 5 x squared EndRoot + 2 x squared StartRoot 6
makvit [3.9K]

Answer:

D

Step-by-step explanation:

(4x√5x^2 +2x^2√6)^2 

remove the last ^2 by multiplying the parenthesis by each other:

(4x√5x^2 +2x^2√6) * (4x√5x^2 +2x^2√6)

 use FOIL & distribute :

4x√5x(4x√5x +2x^2√6) +2x^2√6(4x√5x +2x^2√6)

apply the distributive property once more:

4x^2√5(4x^2√5)+ 4x^2√5(2x^2√6) + (2x^2√6(4x^2√5) +2x^2√6(2x^2√6)

remove parenthesis and combine like terms to get:

104x^4+16x^4√30

 answer is D

4 0
2 years ago
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Babe Ruth's 1931 salary was $80,000, Government statistics show a consumer price index of 15.2 for 1931 and 237 for 2015. Ruth's
Lady_Fox [76]

Answer:

Ruth's 1931 salary was equivalent to a 2015 salary of $1,247,368.

Step-by-step explanation:

This question can be solved by a rule of three.

Government statistics show a consumer price index of 15.2 for 1931 and 237 for 2015.

This means that $15.2 in 1931 is equivalent to $237 in 2015. So

$15.2 in 1931 - $237 in 2015

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15.2x = 237*80,000

x = \frac{237*80,000}{15.2}

x = 1,247,368

Ruth's 1931 salary was equivalent to a 2015 salary of $1,247,368.

8 0
2 years ago
If a ramp is 17 feet long rises 8 feet above the floor and covers a horizontal distance of 15 feet what is the ratio of _____ to
Ray Of Light [21]

In the given question, it is given that  ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet.

And we have to find the value of tan B.

And tangent of any angle is equal to the ratio of vertical by horizontal. That is:

tanB=8/15

And that's the required missing ratio for tan B.

6 0
2 years ago
A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year
Roman55 [17]

Answer:

The required equation is y = 18(1.15)^x.

Step-by-step explanation:

Consider the provided information.

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Let future value is y and the number of years be x.

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Now verify this by substituting x=1 in above equation.

y = 18(1.15)^1=20.7

Which is true.

Hence, the required equation is y = 18(1.15)^x.

7 0
2 years ago
Read 2 more answers
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