Laura has $1000 bond with a 3.4% coupon. Laura purchased this bond for $1065. What is the yield of this new bond?

Renting a truck costs $55.00 per day and $0.38 per mile when the driver goes beyond the 40 free miles allotted. How much would S

solmaris [256]

Well we need to multiply 55 by 2 because of the 2 days of renting. 55 * 2 = 110. Now we need to subtract 40 from 94 to find how many miles Samantha drove over 40. So 94 - 40 = 54. Now we need to multiply 54 by 0.38 to get the cost Samantha has to pay. 54 * 0.38 = 20.52. Finally we need to add the cost of 2 days of renting to the cost of the additional miles. 110 + 20.52 = 130.52. The total that Samantha has to pay for the truck is $130.52
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4 0

2 years ago

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Which is true about the completely simplified difference of the polynomials a3b + 9a2b2 − 4ab5 and a3b − 3a2b2 + ab5? The differ

tamaranim1 [39]

Let be A =a3b +9a2b2-4ab5, and B=a3b-3a2b2+ab5,so the difference can be defined as A - B =a3b +9a2b2-4ab5 -(a3b-3a2b2+ab5), when there is negative sign in front of the parathesis, all the inside signs must change: that is as follow: A- B= a3b +9a2b2-4ab5 - a3b + 3a2b2 - ab5= a3b-a3b +9a2b2+3a2b2-4ab5- ab5= 12a2b2 -5ab5, the fist term has 2+2=4, as a degree,the second term has 1 +5 =6, so the true answer : The difference is a binomial with a degree of 6

6 0

2 years ago

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In the United States, 75 percent of adults wear glasses or contact lenses. A random sample of 10 adults in the United States wil

V125BC [204]

Answer:

0.4745 is the probability that fewer than 8 of the selected adults wear glasses or contact lenses.

Step-by-step explanation:

We are given the following information:

We treat adult adults wear glasses or contact lenses as a success.

P(Adults wear glasses or contact lenses) = 75% = 0.75

Then the number of adults follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

P(fewer than 8 of the selected adults wear glasses or contact lenses)

$P(x < 8)\\=1 - P(x = 8) - P(x = 9) - P(x = 10)\\=1 - \binom{10}{8}(0.75)^8(1-0.75)^2 - \binom{10}{9}(0.75)^9(1-0.75)^1- \binom{10}{10}(0.75)^10(1-0.75)^0\\=1 - 0.2815-0.1877-0.0563\\= 0.4745$