The status of a statement is either true or false geometry

Minimum amount of time that Yolanda will own the home is for at least 11 years

A division is a process of splitting a specific amount into equal parts.

To calculate the minimum amount of time that Yolanda will own the home

We need to determine how long it will take for the monthly savings to equal the cost of the point.

One point is equal to 1% of the loan amount, so Yolanda paid $830 (1% of $83,000) at closing for the point.

To find out how many months it will take for the monthly savings to equal the cost of the point, we divide the cost of the point by the monthly savings:

$830 ÷ $7.63 = 108.77 months

Since there are 12 months in a year, 108.77 months is 11 years.

Therefore, we can infer that Yolanda will own the home for at least 11 years

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The tail length of an alligator with a body length of 3.6 feet is approximately 3.2 feet.

The problem states that the alligator's tail length, [tex]\(T\)[/tex], varies directly with its body length, [tex]\(B\)[/tex]. When two quantities vary directly, we can express this relationship using a proportionality constant, often denoted as [tex]\(k\)[/tex]. In this case, we have:

[tex]\(\frac{T_1}{B_1} = \frac{T_2}{B_2}\),[/tex]

where [tex]\(T_1\) and \(B_1\)[/tex] are the initial tail length and body length, and [tex]\(T_2\) and \(B_2\)[/tex] are the final tail length and body length.

Given that an alligator with a body length of 5.4 feet has a tail length of 4.8 feet, we can use this information to find [tex]\(k\):[/tex]

[tex]\(\frac{4.8}{5.4} = \frac{T_2}{3.6}\).[/tex]

Now, solve for [tex]\(T_2\):[/tex]

[tex]\(T_2 = \frac{4.8}{5.4} \times 3.6\).[/tex]

[tex]\(T_2 \approx 3.2\) feet.[/tex]

So, the tail length of an alligator with a body length of 3.6 feet is approximately 3.2 feet.

The tail length is 3.2 feet. This result confirms the direct variation between tail length and body length, where [tex]\(T\)[/tex] is proportional to [tex]\(B\)[/tex] with a proportionality constant of approximately 0.8889 (4.8/5.4).

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Final answer:

The volume of the parallelepiped with sides of lengths a = 3.9 units, b = 5.7 units, and c = 3 units is given by the formula V = a × b × c. After performing the calculation, the volume comes out to be 66.87 cubic units.

Explanation:

To find the volume of the parallelepiped with edges of lengths a, b, and c, you can multiply the length of each edge together. The volume (V) of a parallelepiped (a three-dimensional figure formed by six parallelograms) is given by the product of the lengths of its three dimensions. In this case, the formula to calculate the volume is V = a × b × c.

By plugging in the values provided:

a = 3.9 units

b = 5.7 units

c = 3 units

We get:

V = 3.9 units × 5.7 units × 3 units

Doing the multiplication:

V = 66.87 cubic units

Therefore, the volume of the figure is 66.87 cubic units.

The method of substitution is a three step method to solve the equations. In this method , one equation for one of the variables is solved and in the first step.

The outcome is then substituted to the second equation in the second step for solving the equation.The value is re-substituted to the original equation to find the outcome in the third step.

On solving the equations by substitution method we get x=14 and y=-3

Given equations:

[tex]\rm 2x+8y = 4[/tex]                                                     (1)

[tex]\rm x=-3y+5[/tex]                                                    (2)

On substituting [tex]x=-3y+5[/tex] in equation 1:

[tex]\begin{aligned}\rm 2(-3y+5)+8y&=4\\\\-6y+10+8y&=4\\\\2y+10&=4\\\\2y&=4-10\\\\ 2y &= -6\\\\y&=\dfrac{-6}{2}\\\\y&=-3\end[/tex]

Substituting [tex]\rm y=-3[/tex] in equation 2:

[tex]\rm x&=-3y+5\\\\x&=-3(-3)+5\\\\x=9+5\\\\x=14[/tex]

Therefore the values of x and y for the given equations is 14 and -3 respectively.

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The price of drink is given as 0.10 dollars per deciliter.

It says to find the cost of 2 liters of drink.

We need to convert the units from liters to deciliters.

We know 1 liter = 10 deciliters.

then 2 liters = 20 deciliters.

So we need to find the cost of 20 deciliters of drink at rate of 0.10 dollars per deciliter.

1 deciliter of drink cost = 0.10 dollars.

20 deciliter of drink would cost = 20 x 0.10 dollars = 2.00 dollars.

Hence, 2 liters of drink would cost 2 dollars.

The correct answer is P(t)=-52t+480.  Hope this helped.

The function representing the number of pages Shryia has left to read at a given time is P(t) = 480 - 52t, considering she reads at a constant rate of 52 pages per hour.

Shryia read a 480-page book in one session at a constant rate. Since P(t) represents the number of pages she has left to read at time t, after 1.5 hours, she had 402 pages left. To find the rate at which she reads, we can see that in 1.5 hours, she read 480 - 402 = 78 pages. Thus, her reading rate is 78 pages per 1.5 hours, or 52 pages per hour.

At time t=0, the book is completely unread, meaning P(0) = 480 pages. Her reading rate is constant, so the function is linear: for every hour that passes, 52 more pages are read. Therefore, the number of pages left, P(t), decreases by 52 for each hour. The function P(t) can then be defined as:

P(t) = 480 - 52t

What it Means...

If you borrow $32,000 at 1.99% for 5 years, your monthly payment will be $560.75.

The payments do not change over time. The loan amortizes over the repayment period, meaning the proportion of interest paid vs. principal repaid changes each month. As the loan amortizes, the amount of monthly interest paid decreases while the amount of principal paid increases.

The probability that the number selected is the square of a natural number will be 0.20.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Robin randomly selects a number between 1 and 20.

Then the total number of the events will be

Total events = 20 {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

The probability that the number selected is the square of a natural number will be

We know that natural numbers 1, 2, 3, 4, 5, and so on.

Then the square of the natural  numbers will be

1, 4, 9, 16, 25, ....

Favorable event = 3 {1, 4, 9, 16}

Then the probability will be

P = 4 / 20

P = 1/5

P = 0.20

The probability that the number selected is the square of a natural number will be 0.20.

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To find the probability that a shipment of 140 electronic components, with 3 defects, is rejected upon testing 3 components, calculate the complement (all non-defective) and subtract from 1.

The question involves determining the probability that a shipment containing 140 electronic components, with 3 being defective, is rejected based on a quality-control test of 3 components. To solve, consider the complementary probability - the chance all selected components are non-defective. First, calculate the probability of picking 3 non-defective components: (137/140) * (136/139) * (135/138). Then, subtract this probability from 1 to find the probability of the shipment being rejected.

1 - [(137/140) * (136/139) * (135/138)] equals the probability the shipment is rejected. After performing the calculations, you find that the shipment's rejection probability is determined by the presence of at least one defective component in the tested sample.

Answer:

3.87 centimeters

Step-by-step explanation:

sorry its took 3 years lol :)

Answer:

3.87 centimeters

Step-by-step explanation:

Got it right on Imagine math.