The Howards bought a $224,000 townhome. They made a down payment of $45,000 and took out a mortgage for the rest. Over the course of 30 years they
made monthly payments of $1073.21 on their mortgage until it was paid off.
th
total amount they ended un naying for the townhome

Answer:

First you need to state the equation that represents the function.

Investment is $200 and interest rate is 5%, y is the amount of money after x periods.

Note that after 1 period the amount of money is 200 plus 5% interest, which is 200 + 5%(200) = 200 (1 +5%) = 200 (1 + 0.05) = 200 (1.05)

After 2 periods the amount is 200(1.05)*(1.05) = 200 (1.05)^2

After 3 periods the amount is 200 (1.05)^3

And now you can deduce that after x periods y = 200 (1.05)^x

You can then analyze the function to predict the shape and critical points of the graph.

The answers are based in the initial value and the increasing factor.

The initial value is when x = 0, which yields to y = 200 (1.05)^0 = 200*1 = 200

And the increasing factor is 1.05 because any value is the previos one times 1.05.

Step-by-step explanation:

9514 1404 393

Answer:

  1. 5 seconds

  2. 4.5 seconds

Step-by-step explanation:

Both of these questions can be solved the same way. Each quadratic gives height as a function of time. You're interested in the time at which the height is zero. Factor the quadratic and find the positive value of x that makes the relevant factor be zero.

__

1) y = -15x(x -5)

  x = 5 makes the second factor zero

The golf ball is in the air 5 seconds.

__

2) y = -12x(x -4.5)

  x = 4.5 makes the second factor zero

The football is in the air for 4.5 seconds.

_____

Additional comment

The "zero product rule" tells you a product will be zero if and only if one or more of the factors is zero. When a factored quadratic (or any other polynomial) is zero, one of the factors must be zero. If the factor is of the form (ax+b), then the corresponding solution is ...

  ax+b = 0   ⇒   ax = -b   ⇒   x = -b/a

That is, once you have the factored form, you can write the solutions "by inspection."

Answer:

The cosine of ∠V is of 0.74.

Step-by-step explanation:

Relations in a right triangle:

The cosine of an angle is given by the length of the adjacent side divided by the length of the hypotenuse.

XW = 65, WV = 97, and VX = 72.

[tex]\sqrt{65^2+72^2} = 97[/tex], and thus, this is a right triangle.

What is the value of the cosine of ∠V to the nearest hundredth?

The hypotenuse is the largest side, that is, WV = 97.

The adjacent side of angle V is VX = 72. So

[tex]\cos{B} = \frac{72}{97} = 0.74[/tex]

The cosine of ∠V is of 0.74.

Answer:

2*3

Step-by-step explanation:

multiplying 2 the difference subtraction of 9-7 your answer is  2*3

Answer:

can i have the choices

Step-by-step explanation:

Answer:

Minimum average cost = 743.75

Number of dvds to achieve the cost = 62.5

Step-by-step explanation:

Given the cost equation

C = 0.04x² − 5x + 900

To Obtian the minimum average cost ;

Find dc/dx = 0

Diffentiate cost, c it ith respect to x

dc/dx = 2(0.04x) - 5

dc/dx = 0.08x - 5 = 0

0.08x = 5

x = 5 / 0.08

x = 62.5

Substitute the value of x into C to obtain the minimum average cost

C = 0.04(62.5)² - 5(62.5) + 900

C = 743.75

Answer:

17

Step-by-step explanation:

4a - 4 = 2a + 30

2a = 34

a = 17

Answer:

9.16

Step-by-step explanation:

by using pythagorean theorem,

given that PQ=4 and NQ = 2×5 = 10

NP²= NQ²-PQ²

= 10²-4²

= 100-16

= 84

NP = √84 = 9.16

Step-by-step explanation:

the answer is in the above image

pls give me BRAINLIEST

Answer:

Step-by-step explanation:

The butterfly and moth develop through a process called metamorphosis. This is a Greek word that means transformation or change in shape. There are four stages in the metamorphosis of butterflies and moths: egg, larva, pupa, and adult.

mark me brainliesttt :)))

Answer:

440.

Step-by-step explanation:

56/7=8

8x55=440.

Answer:

440

Step-by-step explanation:

56 divided by 7 equals 8 which means she gets 8 dollars an hour so to find out how much she gets for 55 just multiply 55 times 8.

Answer:

[tex]x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7[/tex]

Step-by-step explanation:

x²+20x-12=0

a = 1, b = 20, c = -12

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2x}[/tex]

[tex]x = \frac{-20 \pm \sqrt{448}}{2}\\\\x = \frac{-20 \pm \sqrt{8 \times 8 \times 7}}{2}\\\\x = \frac{-20 + 8\sqrt{7}}{2} \ , \ x = \frac{-20 - 8 \sqrt7}{2}\\\\x = \frac{-10 + 4\sqrt{7}}{1} \ , \ x = \frac{-10 - 4 \sqrt7}{1}\\\\x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7[/tex]

Answer:

12.5

Step-by-step explanation:

Perimeter of square is equal to the length of wire.

Answer:

First term: 2x+1

Second term: 3x+3

Step-by-step explanation:

The coefficient of x is going up by 1 time each time while the constant term is going up by 2.

We are looking at these two questions basically:

1) What are the first two terms in?

_,_,4,5,6,7,8

2) What are the first two terms in?

_,_,5,7,9,11,13

Answers:

1) Since the sequence is going up by 1 reading left to right, then right to left it's going down by 1.

So before 4, we have 3.

Before 3, we have 2.

The sequence for the coefficient of x is 2,3,4,5,6,7,8

2) Since the sequence is going up by 2 from left to right, then it's going down by 2 reading right to left.

So before 5, we have 3.

Before 3, we have 1.

The sequence for the constant term is 1,3,5,7,9,11,13.

So first two terms of the sequence in ascending order according to the sequence is:

2x+1

3x+3

Answer:

C = 5^2 * Pi * 8

Step-by-step explanation:

Formula = [tex]r^{2}[/tex]*Pi*h

r = d / 2

d=10, so r=5

h = 8

Step-by-step explanation:

the final position = (-3+2 , -3+6) => (-1, 3)

the distance from the origin point =

√(2²+6²) = √(4+36) = √40 units or 6.3 units

the direction = tan~¹ 6/2 = 71.6°

Hope this explanation helps. :)

Answer:

0.20 dollars/mile

Step-by-step explanation:

The slope actually has units. It has the meaning of 20 cents per mile. The units are cents per mile.

But it can also be 0.20 dollars/mile which is probably the way you should interpret it in a math class. That way it matches the units of the 50 which is for certain in dollars.

Answer:

check the picture

Step-by-step explanation:

I hope this help

ok thats cool ig what do you need help with

Answer:

A

Step-by-step explanation:

Have a nice day :)

Answer:

-57

Step-by-step explanation:

-19 * 3 = -57

Hope this helps!

Answer:

a) 0.7

b) 0.3

c) 0

d) 1

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

(a) Coke

Out of 10, 7. So

[tex]p = \frac{7}{10} = 0.7[/tex]

(b) fanta

3 out of 10. So

[tex]p = \frac{3}{10} = 0.3[/tex]

(c) neither Coke nor fanta

7 Coke, 3 fanta, so all 10 are either coke or fanta. Thus:

[tex]p = \frac{0}{10} = 0[/tex]

(d) either Coke or fanta​

All 10. Thus:

[tex]p = \frac{10}{10} = 1[/tex]

Answer:

the second green shape because the first one is a rectangle which has 2 equal sides

Answer:

the third orange one

Step-by-step explanation:

i have the same question and these 2 show up as answers on both so it has to be this one

Answer:

[tex]P(Female\ or\ Physics) = 0.38[/tex]

Step-by-step explanation:

Given

[tex]n = 50[/tex] --- total

[tex]Physics =10[/tex]

[tex]Female= 12[/tex]

[tex]Both = 3[/tex]

Required

[tex]P(Female\ or\ Physics)[/tex]

This is calculated as:

[tex]P(Female\ or\ Physics) = P(Female) + P(Physics) - P(Both)[/tex]

So, we have:

[tex]P(Female\ or\ Physics) = \frac{Female+ Physics - Both}{n}[/tex]

[tex]P(Female\ or\ Physics) = \frac{10+ 12- 3}{50}[/tex]

[tex]P(Female\ or\ Physics) = \frac{19}{50}[/tex]

[tex]P(Female\ or\ Physics) = 0.38[/tex]

Answer:

whatgxxiffif️️️️️⛔

Answer:

f(3) = -8

Step-by-step explanation:

f(3) means find the y value when x=3

Using the graph the y value when x =3 is -8

f(3) = -8