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2 years ago

What is the common difference in the following arithmetic sequence?7,3,-1,-5

Mathematics

1 answer:

My name is Ann [436]2 years ago

3 0

Answer:

-4

Step-by-step explanation:

Each term is 4 less than the term before it, so the common difference is -4.

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Prime factorization of 43

Volgvan

Answer:

Step-by-step explanation:

Prime factorization: 43 is prime. The exponent of prime number 43 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 43 has exactly 2 factors.

8 0

2 years ago

Khan Acad

alexandr402 [8]

Answer:

7.222 (repeating)

Step-by-step explanation:

8 + 10 + 8 + 5 + 4 + 7 + 5 + 10 + 8 = 65

1 2 3 4 5 6 7 8 9

65 / 9 = 7.222 (repeating)

6 0

2 years ago

Nolan has a bond with a 6.1% yield, a bid price of $475, and a face value of $500. What is the original coupon rate of this Bond

Vladimir79 [104]

Answer:

5.8%

Step-by-step explanation:

Current yield = 6.1%

Face value of bond = $500

Market price of bond = $475

Let the original coupon rate be CR

$Current\hspace{2}yield = \frac{Coupon\hspace{2}rate* Bond\hspace{2}face\hspace{2}value}{Market\hspace{2}price}*100$

$6.1 = \frac{CR*500}{475}*100$

Multiply both sides by 475

$6.1 *475 = \frac{CR*500}{475}*100*475$

Cancel out the 475's from the top and bottom of the right side

$6.1 *475 = CR*500*100$

$2897.5 = CR*50000$

Flip the sides

$CR*50000 = 2897.5$

Divide both sides by 5000

$\frac{CR*50000}{50000} = \frac{2897.5}{50000}$

Cancel out 50000 from the top and bottom of the left side

$CR = 0.0579$ %

CR = 0.0579 * 100 [convert decimal into a percentage]

CR = 5.79 %

CR = 5.8% [rounded off to the tenth place]

6 0

2 years ago

Read 2 more answers

How you substract 7 from 52

ioda

52-7 which equals 45

6 0

3 years ago

Read 2 more answers

The graph shows the cost of buying beets at a farm stand

antiseptic1488 [7]

Answer:

Ok what's your question? cna you include the graph?

8 0

2 years ago

What is the common difference in the following arithmetic sequence?7,3,-1,-5​

What is the common difference in the following arithmetic sequence?7,3,-1,-5