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3 years ago

6

Mathematics

1 answer:

34kurt3 years ago

8 0

Answer: A

Step-by-step explanation: So, first of all, this is a linear graph, which is represented by the equation y = mx + b.

b = y-intercept. The y-intercept is the point in which the line crosses the y axis. Assuming this graph has units that go up by 1, the y- intercept for this line is 2, which eliminates choices B and C.

This graph is going down, which means it is negative, so the format should be -mx + b, which is answer choice A. Hope this helps! :)

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Randy bought a zero coupon bond and a TIPS 5 years ago for $2,500 each. Both had 10 years to maturity. The TIPS's coupon was 2%

UNO [17]

So, we have that the final value of the zero coupon bond after ten years will be 3000$. The TIPS mature after 10 years, but the interest will be calculated only for 5 years. Each year of interest, the TIPS gains 2%*2500=2*25=50$. Hence the TIPS gains 50$ for each year of interest. Since the interest is not compounding, it will gain 5*50=250$ in value. Hence its total value after ten years is 2500+250=2750$. The total maximum value of the two assets combined is 3000+2750=5750$ and it is attained after 10 years. If one things that money is more important now than in 10 years, the assets could be sold at a lower price; nonetheless their max value never exceeds choice d)=5.750$

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3 years ago

Find the compound ratio of 6:5cm and 2:5

denis-greek [22]

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3 years ago

Read 2 more answers

Consider all 5 letter "words" made from the full English alphabet. (a) How many of these words are there total? (b) How many of

VARVARA [1.3K]

Answer:

a) There are 11,881,336 of these words in total.

b) There are 7,893,600 of these words with no repeated letters.

c) 896,376 of these words start with an a or end with a z or both

Step-by-step explanation:

Our words have the following format:

L1 - L2 - L3 - L4 - L5

In which L1 is the first letter, L2 the second letter, etc...

There are 26 letters in the English alphabet.

(a) How many of these words are there total?

Each of L1, L2, L3, L4 and L5 have 26 possible options.

So there are $26^{5} = 11,881,336$ of these words total

(b) How many of these words contain no repeated letters?

The first letter can be any of them, so L1 = 26.

At the second letter, the first one cannot be repeated, so L2 = L1 - 1 = 25.

At the third letter, nor the first nor the second one can be repeated, so L3 = L1 - 2 = 24

This logic applies until L5

So we have

26-25-24-23-22

In total there are

$26*25*24*23*22 = 7,893,600$

of these words with no repeated letters.

(c) How many of these words start with an a or end with a z or both (repeated letters are allowed)?

$T = T_{1} + T_{2} + T_{3}$

$T_{1}$ is the number of words that start with an a and do not end with z. So we have

1 - 26 - 26 - 26 - 25

The first letter can only be a, and the last one cannot be z. So:

$T_{1} = 26^{3}*25 = 439,400$

$T_{2}$ is the number of words that start with any letter other than a and end with z. So we have

25 - 26 - 26 - 25 - 1

The first letter can be any of them, other than a, and the last can only be z. So:

$T_{2} = 26^{3}*25 = 439,400$

$T_{3}$ is the number of words that both start with a and end with z. So:

1 - 26 - 26 - 26 - 1

The first letter can only be a, and the last can only be z. The other three letters could be anything. So:

$T_{3} = 26^{3} = 17,576$

$T = T_{1} + T_{2} + T_{3} = 2*439,400 + 17,576 = 896,376$

896,376 of these words start with an a or end with a z or both

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3 years ago

Triangle ABC is congruent to triangle DEF .

Otrada [13]

The answer is B. Sorry if I'm wrong.

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4 years ago

The product of 4 , and a number increased by 7 , is -36.

Norma-Jean [14]

Answer:

your awnser should be. 4(x + 7 ) = -36

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3 years ago