A loan worth 150,000 pesos is payable monthly over 2 years at an interest rate of 6.5% compounded monthly. Each monthly payment consists of 6,250 pesos in principal, which is 1/24 of the loan amount, plus the interest due. Find a formula for the kth payment Pₖ. Then construct an amortization schedule.

9514 1404 393

Answer:

  C: 2 and 3 only.

Step-by-step explanation:

We know the sum or difference of two odd numbers is even, eliminating choices (1) and (4).

The product of two odd numbers is odd, so (2) is one of the true statements.

__

Let x/y = k, where x and y are both odd. Then x = ky. If k is even, then x is even, a contradiction. So, k must be odd. The integer ratio of two odd numbers is odd, so (3) is one of the true statements.

Only statements (2) and (3) are true.

What did the answer end up being?

Answer:

180f + 23(n)

Step-by-step explanation:

just make an equation

The momentum of the basketball is three times that of the softball. Momentum equals mass times velocity. Therefore, if the basketball and softball are moving at the same velocity, and the basketball has three times the mass of the softball, the basketball has three times the momentum of the softball.

Let m = the mass of the softball.

Then the mass of the basketball is 3m.

By definition formula for momentum is;

momentum =  mass * velocity.

If both the softball and basketball move at the same velocity, v, then

Momentum of the softball = mv

Momentum of the basketball = 3mv

Thus;

The momentum of the basketball is three times that of the softball. Momentum equals mass times velocity. Therefore, if the basketball and softball are moving at the same velocity, and the basketball has three times the mass of the softball, the basketball has three times the momentum of the softball.

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Answer:

none of these

Step-by-step explanation:

none of these is the correct answer because if this is pemdas it would be 24.818

and if it is not pemdas it would still be 3.818.

The way pemdas would be solved is 62 divided by 22 first which is 2.818

and then 2.818 + 22 which= 24.818.

But if your just doing it in order and it isn't pemdas than you would do 22 + 62 which=84 and then 84 divided by 22=3.818

So your answers are wrong I wanted to let you know that is there an option od none of theres or is there more to the question I can help you with.

I hope I can help and that this helps have a awesome day:)

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

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Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

Answer:

(3, 50) and (14,303)

Step-by-step explanation:

Given the system of equations;

y=23x–19 ....1

x²–y= – 6x–23 ...2

Substitute 1 into 2;

x²–(23x-19)= – 6x–23

x²–23x+19= – 6x–23 .

x²-23x + 6x + 19 + 23  = 0

x² - 17x + 42 = 0

Factorize;

x² - 14x - 3x + 42 = 0

x(x-14)-3(x-14) = 0

(x-3)(x-14) = 0

x = 3 and 14

If x = 3

y = 23(3) - 19

y = 69-19

y = 50

If x = 14

y = 23(14) - 19

y = 322-19

y = 303

Hence the coordinate solutions are (3, 50) and (14,303)

Answer:

9:10 pm

Step-by-step explanation:

Answer:

9:10

Step-by-step explanation:

7:30 plus an hour is 8:30, plus 40 minutes would be (8:70) 60 minutes is in an hour, so it would be 9:00 and add the extra 10 min.

9:10

Answer:

A. Marcus worked 27 hours and 45 minutes in the week.

B. He earned $391.5 for the week.

Step-by-step explanation:

First you calculate the hours he worked daily and you add them together, when you have the weekly hours you multiply the hours times what he earns each hour.

It's 27 • 14.50= $391.5

Answer:

Given the figure of an unlabeled rectangle

We need to find which of the labeled figures is a different scaled version of the rectangle

As shown the unlabeled rectangle has the following:

Length = 4 units

Width = 2 units

So, the ratio of the length to the width = 4:2 = 2:1

We will find the ratio of the shown rectangles to find the correct figure.

The rectangles have the label: B, C, D, E, G, H

Now, we will check the ratio for each rectangle

B: Length = 8, Width = 3 ⇒ ratio = 8:3

By making the same sequence

The answer will be:

C, D, H

Each rectangle has a length = of two times the width

These rectangles is a scaled version of the given rectangle

Answer:

x/7 + 9 = 6

Step-by-step explanation:

Hope this helps! Please give brainliest!

41.12 is the answer

so the perimeter is cirumference of circle + 16

25.12 + 16

41.12 is the perimeter

188.4 cm²  is the surface area of the cone .

What is known as a cone?

given   r = 4 cm

           l = 15 cm

the curved surface area = πrl

                                     = 3.14 * 4 * 15

                                      = 188.4 cm²

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Answer: 76 cm2

Step-by-step explanation:

I Did it trust

Answer:

B. 8 x (-$12.50)

Step-by-step explanation:

Answer:

Supplementary angles add up to 180°

180=7x-9+4x+3

180=7x+4x-9+3

180=11x-7

180+7=11x

187=11x

11x=187

x=187/11

x=17

Therefore x = 17

Answer:

I think the answer will be weak positive

Given that:

Total number of fish = 140

Fish are green swordtails female = 44

Fish are green swordtails male = 36

Fish are orange swordtails female = 36

Fish are orange swordtails male = 24

Solution:

A. We have to find the probability that the selected fish is a green swordtail.

\(\text{P(green swordtail)}=\dfrac{\text{Total green swordtail fish}}{\text{Total fish}}\)

\(\text{P(green swordtail)}=\dfrac{80}{140}\)

\(\text{P(green swordtail)}=\dfrac{4}{7}\)

Therefore, the probability that the selected fish is a green swordtail is \(\dfrac{4}{7}.\)

B.  We have to find the probability that the selected fish is male.

\(\text{P(Male fish)}=\dfrac{\text{Total male fish}}{\text{Total fish}}\)

\(\text{P(Male fish)}=\dfrac{36+24}{140}\)

\(\text{P(Male fish)}=\dfrac{60}{140}\)

\(\text{P(Male fish)}=\dfrac{3}{7}\)

Therefore, the probability that the selected fish is a male, is \(\dfrac{3}{7}.\)

C. We have to find the probability that the selected fish is a male green swordtail.

\(\text{P(Male green swordtail)}=\dfrac{\text{Total male green swordtail fish}}{\text{Total fish}}\)

\(\text{P(Male green swordtail)}=\dfrac{36}{140}\)

\(\text{P(Male green swordtail)}=\dfrac{9}{35}\)

Therefore, probability that the selected fish is a male green swordtail is \(\dfrac{9}{35}.\)

D.

We have to find the probability that the selected fish is either a male or a green swordtail.

\(\text{P(Male or green swordtail)}=\dfrac{\text{Total male or green swordtail fish}}{\text{Total fish}}\)

\(\text{P(Male or green swordtail)}=\dfrac{44+36+24}{140}\)

\(\text{P(Male or green swordtail)}=\dfrac{96}{140}\)

\(\text{P(Male or green swordtail)}=\dfrac{24}{35}\)

Therefore, the probability the selected fish is either a male or a green swordtail is \(\dfrac{24}{35}.\)

1. C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

2. B. Type Ia supernovae

3. D. Downwards; towards the center of the Sun

The interpretation of the equations and the correct options for the given questions are as follows:

Question 1:

The equation interpretation is related to gravity. The equation states a relationship between gravity and distance. The correct option is:

C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

Question 2:

To test how the constant G (gravitational constant) has changed over the evolution of the Universe, certain phenomena or objects are used. The correct option is:

B. Type Ia supernovae

Question 3:

Based on the excerpt, the direction of gravity from the Sun is described. The correct option is:

D. Downwards; towards the center of the Sun

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The number of students that leave by bus or car is given as follows:

5801 students.

The union and intersection sets of multiple sets are defined as follows:

The or operation is equivalent to the union operation, meaning that we add the number of students that leave by bus to the number of students that leave by car.

Hence the number of students that leave by bus or car is given as follows:

3232 + 2549 = 5801 students.

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Step-by-step explanation:

decimal interest = .06

$ interest = prt

                = $ 1730 * .06 * 4 = $ 415.20

On the graph of f(x)=sinx and the interval [−2π,0), the function reaches its maximum value at x=0.

To understand why this is the case, it's helpful to visualize the graph of the sine function. The sine function is a periodic function that oscillates between -1 and 1 as x increases. In the interval [−2π,0), the graph of sinx starts at 0 and decreases as x moves towards -2π.

As x approaches 0 from the left (i.e. as x gets closer to 0 while still being in the interval [−2π,0)), the sine function starts to increase again. At x=0, the function reaches its maximum value of 1.

After x=0, the function starts to decrease again as x moves towards -2π.

So in summary, the function f(x)=sinx reaches its maximum value of 1 at x=0 on the interval [−2π,0).

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5

Step-by-step explanation:

1000 ml= 1L

Answer: 5 liters

Step-by-step explanation:

         We will use the knowledge of 1 liter being equal to 1,000 mL. Since we are trying to change 5,000 mL into liters, we will use dimensional analysis. We want to end up with liters, so we will put 1 liter over 1,000 mL so the mL units cancel out, since \(\frac{mL}{mL}\) = 1.

          \(\displaystyle (\frac{5,000\;mL}{1}) (\frac{1 \;liter}{1,000\;mL} )=5\;liters\)

Answer:

I believe the answer would be 15

Step-by-step explanation:

This is because the ratio is 2 to 3 and you would divide it in half so you get one part then times it by three to get the second part of the ratio.

So it would be 10/2=5 then 5 times 3 to get 15. Therefore, 10 to 15

Answer:

15 baskets

Step-by-step explanation:

Step 1 : write a statement

Tony : Colin

2 : 3

10 : ?

Step 2: Cross multiply

i.e. 10×3=30

30÷2=15

Answer:

Contrapositive is not p (hypothesis) implies not q (conclusion)

The conditional and contrapositive pair with each other.

The converse and inverse pair with each other.

(Sorry if you were talking about something else, this is what I thought you meant)

Answer:

Omg where is it then

Step-by-step explanation:

upload image attachment

It takes a train going 50 mph approximately 11/2 miles to stop safely.

The distance a train takes to come to a stop can be determined by several factors, including the speed of the train, the weight of the train, the condition of the brakes and the track, and the reaction time of the engineer.

In general, a train going 50 mph will take about 1 1/2 miles or 8,000 feet to stop safely. This is because a train moving at 50 mph is traveling at about 75 feet per second, and it takes a significant distance to slow down a heavy object moving at such a high speed. It's important to note that this is an estimation, and the actual stopping distance may vary depending on the specific conditions.

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