Graph the line with slope 1 passing through the point (-2 , -5)
Graph the line.

The monthly payment is 38455 when the P for a $75,000 loan with a 20-year term (n = 240 months) and an annual interest rate of 4%.

Given that,

We have to calculate the monthly payment P for a $75,000 loan with a 20-year term (n = 240 months) and an annual interest rate of 4% (let r=.9967).

We know that,

Formula for monthly payment is P(i(1+i)ⁿ/(1+i)ⁿ-1)

Here,

P is principal amount $75,000

n is number of months 240 months

i is interest rate 4% is 0.04

=P(i(1+i)ⁿ/(1+i)ⁿ-1)

=75,000(0.04(1+0.04)²⁴⁰/(1+0.04)²⁴⁰-1)

=75,000(0.04(1.04)²⁴⁰/(1.04)²⁴⁰-1)

=75,000(0.04(12246.20236)/(12245.20236)

=75,000(0.04×1.000081665)

=38455

Therefore, The monthly payment is 38455 when the P for a $75,000 loan with a 20-year term (n = 240 months) and an annual interest rate of 4%.

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Answer:

j = 9

Step-by-step explanation:

Given equation,

→ -3(j - 8) + (-6) = -9

Let's solve for the value of j,

→ -3(j - 8) + (-6) = -9

→ -3j + 24 - 6 = -9

→ -3j + 18 = -9

→ -3j = -9 - 18

→ j = (-27)/(-3)

→ [ j = 9 ]

Hence, the value of j is 9.

Answer:

j = -9

Step-by-step explanation:

[tex] - 3(j - 8) + - 6 = - 9 \\ open \: brackets \\ - 3j + 24 + - 6 = - 9 \\ 3j + 24 = - 9 + 6 \\ 3j + 24 = - 3 \\ 3j = - 3 - 24 \\ 3j = - 27 \\ divide \: by \: 3 \\ j = - 9[/tex]

Answer:

y=-2x-2

Step-by-step explanation:

If the endpoints of the line segment are (7,4) and (-9,-4), that means that the slope will be:

[tex]\frac{-4-4}{-9-7}[/tex] = [tex]\frac{-8}{-16}[/tex]=[tex]\frac{1}{2}[/tex]. For the perpendicular bisector to be perpendicular to the line, it must have a perpendicular slope, which will be the negative reciprocal of [tex]\frac{1}{2}[/tex], which is -[tex]2[/tex]. The perpendicular bisector must also go through the midpoint of the segment, which is (-1, 0) because -1 is the average of 7 and -9 and 0 is the average of 4 and -4.

Now we find the equation!

y=mx+b. Plug in -[tex]2[/tex]     as the "m", or slope:

y=-[tex]2[/tex]x+b

Now, plug in the point (-1, 0):

0=-[tex]2[/tex]*-1+b

0=[tex]2[/tex]+b

b=-[tex]2[/tex]

So, we have m=-[tex]2[/tex] and b=-[tex]2[/tex] and we can form our equation!

y=-[tex]2[/tex]x-[tex]2[/tex]

Hope this helps!! :D

Answer:

a) about 190 acres

b) around 240 acres

c) exponential decay because the amount of land available is decreasing at an increasingly rapid rate over time.

Answer:

5/14

Step-by-step explanation:

they subtract 1/14th each time
(You cant simplify)

Answer:

1/4

Step-by-step explanation:

add all of them to get the sum which is 12. Since he asked for the blue which are 3. You put the 3/total which is 3/12. Then simplify. Which is equal to 1/4

The height of the cliff is 7.57m and the time to reach the ground when thrown straight down is 0.814s

Motion under gravity refers to the movement of an object whose vertical motion is affected by the presence of gravity. The force that attracts objects downwards is GRAVITY. In fact, gravity works towards the centre of the Earth.

When an object is moving upward,it is moving against gravity and when it is moving down it is moving with gravity.

from equation of motion

H= ut-1/2gt^2( the object is moving upward)

where h is the height of the cliff and u is the initial velocity and g is acceleration due to gravity

(g=10ms^-2).

therefore h= 8.14×2.41-(1/2×10×2.41)

= 19.62-12.05

h= 7.57m

when the object is thrown Down,

V = u + gt

u will be 0 at top before coming down

V = gt

t= 8.14/10

= 0.814s

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Answer:

Charlie gets paid more then Derek. Charlie gets paid per hour $52.25

Answer:

20 mph

Step-by-step explanation:

If it took the car originally 12 minutes to travel the road with an average speed of 60 mph. Than you would just divide the average speed by three because it is taking 3 times the amount of time than it would originally.

36/12=3

60/3=20

20 mph

Answer:

64 times

Step-by-step explanation:

Multiply 0.4, the chance of getting tails, which 160, the amount of times you flip the coin, and you get 64. This is reasonable, because the probability of getting heads is 0.6, and if you flip the coin 160 times, you will get heads 96 times. Hope this helped :)

Answer:

Step-by-step explanation:

We know that the exterior angle of a triangle is the sum of remote interior angles.

If the triangle is equilateral then the sum of any two interior angles is same otherwise, with any isosceles triangle, we get different sums and therefore the friend is wrong.

Answer:

No.

Step-by-step explanation:

An isosceles triangle has two sides of equal length.  Therefore, only two of its interior angles are congruent.

The exterior angle of a triangle is equal to the sum of the two opposite interior angles (remote interior angles).  Therefore, as not all of the three interior angles of an isosceles triangle are congruent, all the exterior angles will also not be congruent.

Answer:

525 cm

Step-by-step explanation:

a heptagon has 7 sides and it can be split into 7 different equal triangles and one already has the side so we just find the area of the triangle.

1/2(12)(12.5)

6(12.5)

75

75 is the area of the triangle so now we multiply by 7

75x7=525 cm

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Answer: 525 cm squared

Step-by-step explanation:

Find the area of 1 of the Isoceles triangle and then multiply it by 7, because there are 7 Isoceles triangles in the heptagon. Area= 1/2 base x height = 1/2 x 12cm x12.5cm = 75cm squared. Now 75 cm squared x 7 = 525 cm squared

to be honest ion even know

Answer: 200 Meters

Step-by-step explanation:

Answer:

d is great than -3

Step-by-step explanation:

because negative numbers are less than whole numbers

Answer:

D

Step-by-step explanation:

the y- intercept is the value of y on the y- axis where the function crosses.

the function crosses the y - axis when x = 0

substitute x = 0 into f(x)

f(0) = [tex]2^{0}[/tex] = 1

y- intercept is 1

The box must be added with 7 cubic feet of sand

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also be defined as the capacity of an object.

It is measured in cubic units.

The volume of a box is length × width × height

represent the original length, width and height by x ,y ,z respectively

This shows that the volume of the original box= x× y× z = 1cubic foot

when the original length, width and height are doubled to give the new dimensions

Therefore the new length,width and height will be 2x, 2y and 2z

the volume of the new formed box = 2x×2y×2z

= 8xyz

XYZ= 1cubic foot

therefore 8xyz = 8cubic feet

since there is 1 cubic foot of sand in the box already,

then( 8-1)cubic feet = 7cubic feet will be added.

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Answer:  the correct answer is 150 minutes for 40 pages.

Step-by-step explanation:

It takes a word processor 45 minutes to word process and spell check 12 pages.

45 minutes / 12 pages = 3.75 minutes per page

3.75 min/page x 40 pages = 150 minutes

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The polynomial satisfying the given conditions is given as 2x⁴ + 10x² + 8.

The polynomial is an algebraic expression in which no any terms has the power other than a whole number.

The degree of a polynomial is the highest power of one of its terms.

Given that,

The degree of polynomial is n = 4.

The zeros of the polynomial are i and 2i.

And, f(-1) = 20

Since, a polynomial with real coefficients have either real zeros or complex conjugate zeros.

Here, the given zeros of the polynomial are imaginary which implies that the remaining two zeros are the conjugate of the given two zeros.

Thus, the zeros of the given polynomial are i, 2i, -i and -2i.

The general form of a 4th degree polynomial is given as,

ax⁴ + bx³ + cx² + dx + e

Use the factor theorem to get,

ax⁴ + bx³ + cx² + dx + e =  K(x - i) (x - (-i)) (x - 2i) (x- (-2i))        (1)

⇒ ax⁴ + bx³ + cx² + dx + e = K(x² + 1) (x² + 4)                          (2)

Now, f(-1) = 20 which gives,

K((-1)² + 1) ((-1)² + 4) = 20

⇒ k = 2

Substitute K =2 in equation (2) to get,

ax⁴ + bx³ + cx² + dx + e = 2(x² + 1) (x² + 4)  

⇒ ax⁴ + bx³ + cx² + dx + e = 2(x⁴ + 5x² + 4)  

⇒ ax⁴ + bx³ + cx² + dx + e = 2x⁴ + 10x² + 8  

Hence, the nth-degree polynomial function with real coefficients satisfying n = 4 and zeros i and 2i is 2x⁴ + 10x² + 8.

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The equation of the line in the graph is y = 4x - 9..

The equation of a line in slope intercept form can be represented as follows:

The line forms a linear equation.

Therefore,

y = mx + b

where

Therefore, using (0, -9)(3, 3) let's find the slope

m = 3 + 9 / 3 - 0

m = 12 / 3

m = 4

Therefore, let's find the y-intercept using (0, -9).

-9 = 4(0) + b

b = -9

Therefore, the equation is y = 4x - 9.

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Answer:

Step-by-step explanation:

1. Basic systems in fluids: 1 pound equals 16 ounces.

2. Multiply 16 ounces by 5 to become equivalent!

16 ounces*5= 80 ounces!

3. Always double check

80 ounces/16=5 pounds

Answer: 80 ounces

Answer:

E

Step-by-step explanation:

I am a line & domain is -7

Answer:

.

Step-by-step explanation:

Answer:

3:2

Step-by-step explanation:

You need to find two more equivalent ratio of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe.

Another mixture of sparkling water and grape juice that would taste different than this recipe is 3 : 2 of cups of sparkling water to cups of juice concentrate

Ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1

ratio of cups of sparkling water : cups of grape juice concentrate = 3 : 1

Equivalent ratio to 3 : 1 are

6 : 2,

9 : 3,

12 : 4

15 : 5

21 : 7

Non equivalent ratio of 3 : 1 are

3 : 2

4 : 2

5 : 5

6 : 4

Therefore, another mixture of sparkling water and grape juice that would taste different than this recipe is 3 : 2 of cups of sparkling water to cups of juice concentrate

The value of pH of the coffee is 4.89

pH is a measure of hydrogen ion concentration, a measure of the acidity or alkalinity of a solution

Given:  The formula pH= -log₁₀ C,

where is the concentration of hydronium ions in the solution measured in moles per litre

The concentration(C) of Hydronium ions type of coffee is 1.3 x 10⁻⁵ moles per liter

To calculate the pH, we will substitute the value of the concentration (C) into the given formula:

pH= -log₁₀ C                     (C = 1.3 x 10⁻⁵ moles per liter)

pH = -log₁₀(1.3 x 10⁻⁵) = 4.89

Therefore, the pH of the coffee is 4.89

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In order to estimate the mean per capita income at the 90% level of confidence with an error of at most $0.42. The sample size would be 85

Information form the question

the mean income is $28

the standard deviation is known to be $5.5

the mean per capita income at the 90% level of confidence

an error of at most $0.42

This is given as from margin of error:

This is the term refers to the minimum error that is to be allowed

Margin of error, E = Zc * √(SD²/n)

n = sample size

n = SD x (Zc/E)²

SD = standard deviation

Zc = would be the critical value at 90 percent level of confidence = 1.65

plugging in the values

n = 5.5 x (1.65/0.42)²

n = 0.25 x 15.4337

n = 84.8854

n = 85

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The transformation that converts f(x) to g(x), f(x) is contraction by 5 units

Transformations are mathematical operations which change the shape and orientation of an object or function.

The types of transformations include

Since we have the graph of f(x) = -10(x - 2)² into the graph of g(x)= -2(x - 2)².

We see that f(x) = -10(x - 2)²

= 5 × -2(x - 2)²

= 5g(x)

Since f(x) = 5g(x)

⇒g(x) = f(x)/5

So, we converts f(x) to g(x), f(x) is contraction by 5 units

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Answer:

10% of $520

=$52

Money made this week :

$520+$52=$572

Saving:

10% of $572

=$57.2

Money left:

$572-$57.2=$514.8

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Answer: We have been given that,

     Oliver's weekly earnings = $520

      His earnings this week = 10% of $520 +$520

                                               = $520+$52= $572

As he saves 10% of his weekly earnings so he would have been left with

= 10% of $572

= $57.2

So, he only has $52.7 left for spending money this week

Step-by-step explanation:

Answer:

Step-by-step explanation:

2+2=4

4+5=9

0+9=9

Answer:

4, 9 , 9 OR 4 + 9 + 9 = 22

Step-by-step explanation: