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4 years ago

Find the sum of the arithmetic sequence. -4, -1, 2, 5, 8, 11, 14

Mathematics

2 answers:

Inga [223]4 years ago

8 0

Answer:

Step-by-step explanation:

notsponge [240]4 years ago

3 0

Answer:

Step-by-step explanation:

Since the sequence is so short, you can simply add the terms. It is convenient to do them pairwise, working inward from the first+last:

(-4+14) +(-1+11) +(2+8) +5

= 10 +10 +10 +5

= 35

Or, you can find the average term as the average of the first and last terms:

average term = (-4+14)/2 = 5

Then the sum is the product of this and the number of terms:

sum = (number of terms)×(average term) = 7 × 5 = 35

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11Alexandr11 [23.1K]

Answer: 6¹⁰

Step-by-step explanation:

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2 years ago

Which measure is equivalent to 25,200 seconds? 1 min = 60 s 1 h = 60 min

sertanlavr [38]

Solution:

Note that:

1 min = 60 sec
1 h = 60 min.

The given time is in seconds. Convert it into minutes by dividing it by 60.

=> 25,200 seconds = 25,200 ÷ 60 minutes = 420 minutes

The obtained time is in minutes. Convert it into hours by dividing it by 60.

=> 420 minutes = 420 ÷ 60 hours = 7 hours

We can conclude that:

25,200 seconds = 420 minutes = 7 hours

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3 years ago

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Maksim231197 [3]

Hey there! I'm happy to help!

If you raise a fraction to an exponent, you apply that exponent to the numerator and the denominator. This would give us $\frac{y^4}{x^4}$ .

Have a wonderful day! :D

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3 years ago

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3. Bob the Builder wants to earn an annual rate of 10% on his investments,

mamaluj [8]

Answer:

He should pay $2,790.7.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time, in years.

After t years, the total amount of money is:

$T = E + P$

In this question:

Rate of 10%, so I = 0.1.

9 months, so $t = \frac{9}{12} = 0.75$

How much should he pay for a note that will be worth $3,000 in 9 months?

We have to find P for which T = 3000. So

$T = E + P$

$3000 = E + P$

$E = 3000 - P$

Then

$E = P*I*t$

$3000 - P = P*0.1*0.75$

$1.075P = 3000$

$P = \frac{3000}{1.075}$

$P = 2790.7$

He should pay $2,790.7.

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3 years ago

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