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marishachu [46]
2 years ago
8

Esmerelda simplified a complex fraction. Her work is shown below.  What errors did Esmerelda make? Select three options. Esmere

lda converted the mixed number to the wrong improper fraction. Esmerelda added the numerators. Esmerelda added the denominators. Esmerelda did not divide –24 by 6 correctly. Esmerelda did not use the reciprocal of the divisor. ​
Business
2 answers:
Schach [20]2 years ago
5 0

Picture relating to the question is attached below :

Answer:

Esmerelda did not use the recipro al of the Divisor.

Esmerelda added the numerator

Esmerelda added the denominator

Explanation:

Esmerelda's work:

-5 1/4 ÷ 3/2= -21/4 ÷3/2 = (-21/4)(3/2) = -24/6 = - 4

Esmerelda's errors:

When changing the quotient sign to multiplication ; the reciprocal of the denominator should be used to divide the numerator :

Hence,

-21/4 ÷3/2 = (-21/4)(3/2) (wrong expression)

-21/4 ÷3/2 = (-21/4)(2/3) (correct expression)

Also,

(-21/4)(3/2) = -24/6 ( wrong simplification)

The bracket symbol indicates multiplication. Hence, the values should be multiplied. The two Numerator values and the two denominator values.

Alex787 [66]2 years ago
4 0

Answer:

  • Esmerelda added the numerators.
  • Esmerelda added the denominators.
  • Esmerelda did not use the reciprocal of the divisor. ​

Explanation:

When multiplying fractions, you are <u>not to add</u> them up as Esmerelda did. Rather you are to multiply them. The same goes for denominators as well.

If you want to divide a fraction by another fraction, you are to use the reciprocal of the divisor to multiplier the fraction to be divided. In this instance therefore, Esmerelda should have multiplied -21/4 by 2/3 which is the reciprocal of 3/2.

The correct working should have been:

= \frac{-\frac{21}{4} }{\frac{3}{2} }  = (-\frac{21}{4}) (\frac{2}{3}) = -\frac{42}{12} = -3.5

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This can be calculated by adding the Present Value of Coupons and the Present Value of Par Value as follows:

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The present of coupons is calculated using the formula for calculating the present value of an ordinary annuity as follows:

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Where;

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Since Par Value is $1000 and r and n are as already given above, we have:

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The following are the possible two reasons:

1. Interest may vary bust the coupon is fixed. What can cause the interest rate to vary is the bond rating by rating agency. But his will not affect the coupon rate which is fixed. When the rating is high, the interest will be low. But when the rating is low, the interest will be high. This indicates a negative relationship between the rating and the interest rate.

2. The level of demand may also influence the interest rate to change. When the demand is high, the interest will be low. But when the demand is low, the interest will be high. This also indicates a negative relationship between the demand and the interest rate.

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