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4 years ago

A truck requires 1 gallon of gas to cover a distance of 10 miles. How

Mathematics

1 answer:

sweet-ann [11.9K]4 years ago

4 0

Answer:

Step-by-step explanation:

If 1 gallon only lasts 10 miles, then they would need 20 gallons to get to where they are going. 200/10=20. 20*10=200

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As the administrative assistant in the provost's office, allie has to keep supplies stocked. she placed a stationary order for t

Reptile [31]

The total expense would be

$89.97+43.9624.97=158.9$

Let x be the percentage of taxes: the expense after taxes would be

$158.9+158.9\cdot\dfrac{x}{100} = 169.98$

Which implies

$158.9\cdot\dfrac{x}{100} = 11.08 \iff 1.589x=11.08 \iff x=\dfrac{11.08}{1.589}\approx 6.97$

So, she paid about 7% taxes, which seems quite reasonable

8 0

3 years ago

Find the third term of a proportional if the first, second and fourth terms are 24, 36, 126

olchik [2.2K]

Answer:

The third term of a proportional will be: 84

Step-by-step explanation:

We know that if a, b, c and d are in proportion, then:

$\:\:a\:\times \:d\:=\:b\:\times \:c$

In our case, we are given the first, second, and fourth terms are $24, 36, 126$

$a = 24$

$b = 36$

$d = 126$

and we have to determine the third term 'c'.

as we know that if a, b, c, and d are in proportion, then:

$\:\:a\:\times \:d\:=\:b\:\times \:c$

Thus,

substituting a = 24, b = 36, d = 126 to determine

$24\:\times \:126\:=\:36\:\times \:c$

$c=\frac{24\:\times \:\:126}{36}$

$c=\frac{3024}{36}$

$c = 84$

Thus, the third term of a proportional will be: 84

5 0

3 years ago

Professors at a local university earn an average salary of $80,000 with a standard deviation of $6,000. The salary distribution

nekit [7.7K]

Answer:

84.13% of of salaries that are at least $74,000

Step-by-step explanation:

Problems of normally distributed(bell-shaped) samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 80000, \sigma = 6000$

What can be said about the percentage of salaries that are at least $74,000?

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{74000 - 80000}{6000}$

$Z = -1$

$Z = -1$ has a pvalue of 0.1587.

1 - 0.1587 = 0.8413

84.13% of of salaries that are at least $74,000

7 0

4 years ago

Read 2 more answers

5) Graph the following inequality. (3 points) 6x-2y>8

Bess [88]

Answer:

Step-by-step explanation:

3 0

3 years ago

An investment of $1,000 was made in a certain account and earned interest that was compounded annually. The annual interest rate

maria [59]

Answer: it will take 18.4 years

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $1000

A = $4000

n = 1 because it was compounded once in a year.

t = 12 years

Therefore,.

4000 = 1000(1 + r/1)^1 × 12

4000/1000 = (1 + r)^12

4 = (1 + r)^12

Log 4 = 12 log (1 + r)

0.602/12 = log (1 + r)

0.0501 = log (1 + r)

Taking inverse log of both sides, it becomes

10^0.0501 = 10^log(1 + r)

1.122 = 1 + r

r = 1.122 - 1 = 0.122

At r = 0.122 and A = 8000

Therefore,

8000/1000 = (1 + r)^1 × t

8 = (1 + 0.122)^t

8 = (1.122)^t

Log 8 = tlog 1.122

0.903 = 0.049 × t = 0.049t

t = 0.903/0.049

t = 18.4 years

8 0

3 years ago