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Novay_Z [31]
3 years ago
10

The sum of 4 consecutive integers is 326. what is the second number in the sequence

Mathematics
2 answers:
Schach [20]3 years ago
8 0
80+81+82+83 is 326

That means the second number is 81
Lostsunrise [7]3 years ago
3 0

Answer:

<em>The second number in the sequence is </em><em>81.</em>

Step-by-step explanation:

The sum of 4 consecutive integers is 326.

Let us assume that the first number is x. So the next numbers would be,

=x+1,x+2,x+3

Sum of these number would be,

=x+(x+1)+(x+2)+(x+3)

As it is given as 326, so

\Rightarrow x+(x+1)+(x+2)+(x+3)=326

\Rightarrow x+x+1+x+2+x+3=326

\Rightarrow 4x+6=326

\Rightarrow 4x=326-6

\Rightarrow 4x=320

\Rightarrow x=80

Hence, the second number (x+1) will be 81.

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The numbers 1, 2, 3, 4, 5, and 6 are placed in a line. How many even numbers can be made from these digits?
fiasKO [112]
<h3>Answer:    360</h3>

==========================================================

Explanation:

We have 3 even values (2,4, and 6) so this is the number of choices we have for the units digit. Recall that a number is even if the units digit is 0,2,4,6 or 8.

Once we have the units digit selected, we have 6-1 = 5 choices for the first slot, 6-2 = 4 choices for the second slot, and so on until we get down to 6-5 = 1 choice for the fifth slot

We could write it out like this

  • slot one = 5 choices
  • slot two = 4 choices
  • slot three = 3 choices
  • slot four = 2 choices
  • slot five = 1 choice
  • slot six = units digit = 3 choices

Multiply those values out: 5*4*3*2*1*3 = 360

There are 360 different even numbers possible.

6 0
3 years ago
A corporate bond has a coupon rate of 5.5 percent, a $1,000 face value, and matures three years from today. The corporation is i
melomori [17]

Answer:

= \frac{\frac{75}{100}\times 1000 + \frac{25}{100} \times \frac{60}{100}\times 1000  }{(1+\frac{15}{100})^3 }

=\frac{0.75\times 1000 + 0.25\times 0.60 \times 1000}{(1+0.15)^3}

=\frac{750+0.25\times 0.60\times 1000}{1.15^3} \\\\=\frac{750+150}{1.520875} =\frac{900}{1.520875} \\\\=591.76

Step-by-step explanation:

= (probability of entire face value paid*face value+probability of entire face value not paid*percent of face value paid*face value)/(1+discount rate)^years to maturity

probability of entire face value paid = 75%

face value = 1000

probability of entire face value not paid = 25%

percent of face value paid= 60%

discount rate = 15%

years to maturity  = 3

= \frac{\frac{75}{100}\times 1000 + \frac{25}{100} \times \frac{60}{100}\times 1000  }{(1+\frac{15}{100})^3 }

=\frac{0.75\times 1000 + 0.25\times 0.60 \times 1000}{(1+0.15)^3}

=\frac{750+0.25\times 0.60\times 1000}{1.15^3} \\\\=\frac{750+150}{1.520875} =\frac{900}{1.520875} \\\\=591.76

6 0
2 years ago
Which of the following rational functions is graphed below?
patriot [66]

Answer:

A. f(x)= x/x+3

Step-by-step explanation:

a p e x

4 0
2 years ago
How are rational numbers written as decimals
Alja [10]

Answer:

Any terminating or repeating decimal that can be written as a fraction using algebraic methods

Step-by-step explanation:

a integer can be written as fraction simply by giving it a denominator so any integer is a rational number

8 0
3 years ago
El 160% de T es igual a N que tanto porciento de N es el 60% de T
Dmitry_Shevchenko [17]

Answer:

sólo pasa por 100% nomás

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