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3 years ago

The elevation is 12,000 feet. the altimeter reading in an airplane is 17.00 in hg. this pressure is equal to

1 answer:

7 0

<span>The elevation is 12,000 feet. the altimeter reading in an airplane is 17.00 in hg. this pressure is equal to:
There are 29.92inHg in 1 atm
thus
</span>17 inHg×(1 atm/29.92inHg)
=17/29.92
=0.5682 atm

Answer: 0.5682 atm

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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

(x^7/8) (x^1/4)<br> Simplify the expression using the properties of exponents

valkas [14]

Answer:

x^9/8

Step-by-step explanation:

The exponent property that you can use here is that when multiplying the two exponents, you add their exponents

Thus, (x^7/8) (x^1/4) = x^(7/8+1/4)=x^9/8

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3 years ago

Find an equation of the line containing the given pair of points (4,1) and (12,7)

Eva8 [605]

Answer:

Y = 3/4 X -2

Step-by-step explanation:

Just apply the equation of a straight line (Y=mX+C), remembering that m represents the gradient of the line. This can be found by dividing the change in the y-axis by the change in the x-axis. Then substitute a set of coordinates with your obtained gradient into Y=mX+C to obtain C, i.e. the y-intercept.

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3 years ago

How do you do these problems

Elden [556K]

Well for the first one, that is presumably a straight line and straight lines all have 180 degrees. So you add 61 and 23 to get 84 and subtract that from 180. You then get 96 degree.

For the second one corresponding angles on a transversal are congruent so x+95=4x-10 and then you solve the equation.;

For the third one you need to make the change from 9 to 12 be the same as the change from 3 to t. 9 to 12 is 4/3 so 3 times 4/3 is 4. t=4

8 0

3 years ago

5. Which of the following sets of fractions is arranged in order from LEAST to GREATEST?

SCORPION-xisa [38]

Answer:

$\{\frac{1}{8},\frac{1}{4},\frac{1}{2}\}$

Step-by-step explanation:

Required

Which is ordered in ascending order

To do this, it is best to convert the fractions to decimal and then make comparison.

From the options, only (b) is ordered in ascending order and the proof is as follows.

$\{\frac{1}{8},\frac{1}{4},\frac{1}{2}\}$

Convert to decimals

$\{0.125, 0.25, 0.5\}$

By comparison:

$0.125< 0.25< 0.5$

Hence, (b) is ordered from least to greatest

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3 years ago