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3 years ago

What does the following expression mean? 7! A. 7+6+5+4+3+2+1 B. 7·6·5·4·3·2·1

Mathematics

1 answer:

frez [133]3 years ago

3 0

Answer: B

Step-by-step explanation:

A factorial is multiplying the integer and all of the integers below it together.

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Suppose that $2000 is placed in a savings account at an annual rate of 4.6%, compounded quarterly. Assuming that no withdrawals

LenaWriter [7]

Answer:

It will take 35.46 quarters for the account to grow to $3000.

Step-by-step explanation:

Since the annual rate is compounded quarterly, this can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n ............................ (1)

Where;

FV = future value or the amount the deposit expected to grow to = $3,000

PV = Present value or the amount place in the savings = $2,000

r = Quarterly rate = Annual rate / 4 = 4.6% / 4 = 0.046 / 4 = 0.0115

n = number of quarters it will take for the loan to grow to $3000 = ?

Substituting the values into equation (1) and solve for n, we have:

$3,000 = $2,000 * (1 + 0.0115)^n

$3,000 / $2,000 = (1.0115)^n

1.50 = (1.0115)^n

Loglinearise both sides, we have:

log(1.50) = n log(1.0115)

0.176091259055681 = n * 0.00496588710682352

n = 0.176091259055681 / 0.00496588710682352

n = 35.4601816891322

Rounding to the nearest hundredth, which also implies to rounding to 2 decimal places, we have:

n = 35.46

Since the the annual rate is compounded quarterly, it will therefore take 35.46 quarters for the account to grow to $3000.

3 0

3 years ago

What is the longest line segment that can be drawn in a right rectangular prism that is 15cm long, 13cm wide, and 8cm tall?

Effectus [21]

Answer:

15cm long

Step-by-step explanation:

8 0

3 years ago

The answer is C, but I don't understand why- can anyone tell me?

finlep [7]

Answer:

It's C because we are adding a number on the x but here we skip 5 so it's 6, and on y we add 4 up but since we skipped 5 we add 8 and we get 24. 6, 24. You may say "but SpiritBear, 17 plus eight is 25" and that is true, but if you notice the lowest dot actually starts on 5, not 4 making C right.

Hope this helped and wasn't too confusing

7 0

2 years ago

Empathy means being able to understand what others feel. To see how the brain expresses empathy, researchers recruited 16 couple

yulyashka [42]

Answer:

the residual is 0.2032

Step-by-step explanation:

The regression line has been given as:

Y^ = 0.00753X-0.06759

The paired observation for X is (31, 0.369)

The value of X is the empathy score under subject 15 = 31

The value of the brain activity under subject 15 is 0.369

So we have y^ = 0.00753(31) - 0.06759

= 0.1658

Then the residual = y - y^

= 0.369 - 0.1658

= 0.2032

Therefore the residual is 0.2032

Please check the attachment for the table, it will aid you in understanding the solution

4 0

3 years ago

Estimate the difference. 6.11 - 1.2 6 7 5 4

fenix001 [56]

Answer:

Step-by-step explanation:

8 0

2 years ago