Trigonometry I need number 10 please

A salesperson's commission rate of 4% means that they receive 4% of the total sales amount as their commission. To calculate the commission from the sale of $42,000 worth of furnaces, we need to multiply the sales amount by the commission rate:

Commission = $42,000 x 0.04 = $1,680

So the salesperson's commission from the sale of $42,000 worth of furnaces would be $1,680.

If sales were to double, the commission would also double. However, this is not the only thing that would be true about the commission. The salesperson would also have to work harder to make those sales, and there may be additional costs associated with selling more furnaces (such as travel expenses, advertising, etc.). Additionally, if the salesperson's commission rate is based on a sliding scale (meaning the commission rate increases as sales increase), then the commission rate itself may change if sales double. Without knowing more about the specifics of the salesperson's commission structure, it's difficult to say exactly what would be true about the commission if sales were to double.

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Answer:

Perpendicular

Step-by-step explanation:

Answer:

Yes, correct

Step-by-step explanation:

Answer:

14,593 -> 39,541: Correct!

Step-by-step explanation:

Based on the calculations,  it would not be very unusual to have more than 153 dentists recommend mintyfresh toothpaste.

The proportion of dentists who recommend mintyfresh toothpaste is 7/8 = 0.875. The expected number of dentists who recommend mintyfresh toothpaste in a sample of 170 is 170 x 0.875 = 148.75. The standard deviation of the sampling distribution is √(np(1-p)) = √(170 x 0.875 x 0.125) = 4.71.

To find the probability of having more than 153 dentists recommend mintyfresh toothpaste, we calculate the z-score as (153 - 148.75) / 4.71 = 0.91. Using a standard normal distribution table, we find that the probability of having a z-score greater than 0.91 is approximately 0.1826, or 18.26%.

Therefore, it would not be very unusual to have more than 153 dentists recommend mintyfresh toothpaste.

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Answer:

c

Step-by-step explanation:

i taken this earlier today

Answer:

$=19$=19

Step-by-step explanation:

The quotient of two fractions, (2y² - 6y - 20)/(4y + 12) and (y² + 5y + 6)/(3y² + 18y + 27), is: 3(y - 5)/2

Quotient can be described as the result you get from dividing a term by another term.

Let's find the quotient of (2y² - 6y - 20)/(4y + 12) and (y² + 5y + 6)/(3y² + 18y + 27)

Quotient = (2y² - 6y - 20)/(4y + 12) ÷ (y² + 5y + 6)/(3y² + 18y + 27)

Change the division sign to multiplication sign and turn the second fraction upside down

(2y² - 6y - 20)/(4y + 12) × (3y² + 18y + 27)/(y² + 5y + 6)

Bringing out the common terms, we would have:

2(y² - 3y - 10)/4(y + 3) × 3(y² + 6y + 9)/(y² + 5y + 6)

Factorize

2(y - 5)(y + 2)/4(y + 3) × 3(y + 3)(y + 3)/(y + 3)(y + 2)

Cancel out common factors

= 3(y - 5)/2

Quotient = 3(y - 5)/2

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Answer:b

Step-by-step explanation:

lol

Answer:

\(\frac{637}{32} or 19\frac{29}{32}\)

Step-by-step explanation:

first you have to put them into improper fractions

\(3\frac{1}{4}\) → \(\frac{13}{4}\)

\(6\frac{1}{8}\) → \(\frac{49}{8}\)

\(\frac{13}{4}*\frac{49}{8}=\frac{637}{32}=19\frac{29}{32}\)

The interest paid in the 11th year of a $95,000 mortgage with a 5.5% interest rate and a 25-year term is approximately $3,638.

This is calculated by first determining the remaining balance after 10 years, which is $64,516. Then, the interest paid for each monthly payment in the 11th year is calculated, and the sum of these monthly interest payments is $3,638.

Here are the steps involved in calculating the interest paid in the 11th year:

Input the loan amount ($95,000), the interest rate (5.5%), and the loan term (25 years) into a mortgage calculator.

Determine the remaining balance after 10 years.

Calculate the monthly payment for the mortgage.

Calculate the interest paid for each monthly payment in the 11th year.

Sum the monthly interest payments to get the total interest paid in the 11th year.

The total interest paid in the 11th year can also be calculated using the following formula:

Interest paid = (Remaining balance × Interest rate) / 12

In this case, the interest paid in the 11th year is:

Interest paid = ($64,516 × 0.055) / 12 = $3,638

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Answer:

B. One

Step-by-step explanation:

Since the two angles are already given, the value of the third angle is already fixed. The third angle can be found by the sum of both angles subtracted from 180. Since 2 angles and lengths are already given, there can only be 1 triangle.

Hope this helps!

If not, I am sorry.

2) the answer is b. 56

3) the answer is c. 48 - not sure

4) the answer is d. 8

5) the answer is 3/2

6) the answer is a. 1

The total number of positive integers with exactly three proper divisors and each divisor less than 50 is \(7+18=\boxed{25}$.\)

To have exactly three proper divisors, a number must be of the form \(p_1^2$ or $p_1p_2$\), where \($p_1$\) and \($p_2$\) are prime numbers.

For the case of \(p_1^2$,\) there are only 7 prime numbers less than 50. So, there are 7 possible numbers of the form \(p_1^2$.\)

For the case of \($p_1p_2$\), we can choose 2 prime numbers from the 7 available prime numbers, which can be done in \($\binom{7}{2} = 21$\) ways. However, we must exclude the numbers that are squares of primes, which are already counted in the previous case. There are 3 such numbers: \(2^2$, $3^2$,\)and $5^2$. So, there are \($21-3=18$\) possible numbers of the form \(p_1p_2$.\)

Therefore, the total number of positive integers with exactly three proper divisors and each divisor less than 50 is \(7+18=\boxed{25}$.\)

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Answer:

Step-by-step explanation:

D 18,000

No, it does not follow that y is an interval or a ray in x. A convex subset of an ordered set is a set that contains all the points between any two points in the set.

This means that a convex subset of an ordered set could be a collection of points, it could be an interval, or it could be a ray. A proper subset of an ordered set is any subset except the entire set, so a proper subset of an ordered set could be any of these possibilities.

Therefore, while a proper subset of an ordered set that is convex in that set must be a collection of points, an interval, or a ray, it does not necessarily have to be one of those three options.

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Answer:

Step-by-step explanation:

Keep in mind

-the fractions have to be EQUAL if they are equivalent fractions

-we multiply the numerator and denominator by the SAME number

-when comparing fractions think (how many slices / the size of the slice ) = (15 slices / size 20) is more than (12 slices / size 20)

Answer:

\(\textsf{left} \ \ \dfrac{3 \times 5}{4 \times 5}=\dfrac{15}{20}\\\\\\\ \textsf{right} \ \ \dfrac{3 \times 4}{5 \times 4}=\dfrac{12}{20}\\\\\\\dfrac{15}{20}>\dfrac{12}{20} \ ,\textsf{so} \ \dfrac34>\dfrac35\)

The equations N1/dt = r1N1[(K1 - N1 - ON2)/K1] and ON2/dt = r2N2[(K2 - N2 - BN1)/K2] describe models for population dynamics. These models are used to understand how populations of organisms change over time, based on factors like birth rates, death rates, and available resources.

In these equations, N1 and N2 represent the population sizes of two interacting species. The variables r1 and r2 are the intrinsic growth rates of these species, or the rates at which they reproduce in the absence of limiting factors. K1 and K2 represent the carrying capacities of the environment for each species, or the maximum population sizes that can be sustained by available resources.
The terms ON2 and BN1 represent the effects of interspecific interactions on population growth. ON2 refers to the negative impact of species 2 on the growth rate of species 1, and BN1 refers to the negative impact of species 1 on the growth rate of species 2. These interactions can take many forms, such as competition for resources or predation.
By manipulating these equations, scientists can make predictions about how populations will change over time, and test these predictions against real-world data. These models are particularly useful for understanding how species interact in complex ecosystems, and how human activities like habitat destruction and climate change are affecting these ecosystems.

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Answer:

false

Step-by-step explanation:

Answer:

exactly 12 !

Step-by-step explanation:

3/4 is the length need, times 12, which is the end result of scarves, equals 9, the yards of fabric !!

3/4 x 12 = 9

i hope this helped!!!!

Answer: Yelena

Step-by-step explanation:

5.4 is shorter than 5.8

Answer:

Yelena

Step-by-step explanation: I know this because Yelena and Evan both ran the same distance, but Yelena's time for the run was faster than Evan's.

The measurement basis used when a reliable estimate of fair value is not available is the historical cost basis.

Historical cost basis refers to the original cost of acquiring an asset or incurring a liability. Under this basis, assets are recorded at the amount paid or the consideration given at the time of acquisition, and liabilities are recorded at the amount of consideration received in exchange for incurring the obligation.

This measurement basis is used when a reliable estimate of fair value is not available because fair value requires market prices or observable inputs, which may not be readily available in certain situations. In such cases, historical cost provides a more objective and verifiable measure of an asset's value.

For example, if a company purchases a building for $500,000, the historical cost of the building will be recorded as $500,000 on the balance sheet. Even if the fair value of the building increases or decreases over time, the historical cost will remain unchanged unless there are subsequent events that require a different measurement basis, such as impairment.

In summary, when a reliable estimate of fair value is not available, the historical cost basis is used as a measurement basis to record assets and liabilities at their original acquisition or incurrence cost.

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The probability of selecting a bag of Original is derived as;

20

10÷1/2

≈10/1÷1/2

KFC

10/1×2/1

=20/1=20

Hope this helped- have a good day, cya)

Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

48

:)

Step-by-step explanation:

63-15 = 48

48+15= 63

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Step-by-step explanation:

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