Ralph Chase plans to sell a piece of property for ​$160000. He wants the money to be paid off in two ways −a ​short-term note at 9​% interest and a​ long-term note at 7​% interest. Find the amount of each note if the total annual interest paid is ​$12900.

The amount of the ​9% note is ​$___ and the amount of the ​7% note is ​$___?

Plug in for a

2(4-b)+b=1

8-2b+b=1

8-b=1

b=7

Step-by-step explanation:

Answer:

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

There is a difference between the means

Step-by-step explanation:

Step(i):-

Given that mean of the Population = 5.9pounds/square inch

Given mean of the sample = 6.0pounds/square inch

Given that variance of the Population = 0.36

The standard deviation of the Population = √0.36 =0.6

critical value (Z₀.₀₅)= 1.96

Step(ii):-

Null Hypothesis:H₀: x⁻ = μ

Alternative Hypothesis:H₁:  x⁻ ≠ μ

Test statistic

              [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

               [tex]Z = \frac{6.0-5.9 }{\frac{0.6}{\sqrt{160} } }[/tex]

              Z  =  2.1097

Final answer:-

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

Answer:

6.75>6.732

Step-by-step explanation:

We are given that

6.75 and 6.732

We have to compare two given decimal numbers.

First we convert like decimal number

In 6.75 there are two digits after decimal point.

In 6.732 , there are three digits after decimal point

Therefore, we put zero in 6.75 to convert like decimal number

Now, we get

6.750

Unit place of both decimal numbers are same and tenth place of both decimal number are same.

Now, hundredth place of 6.750 is 5 and hundredth place of 6.732 is 3

5 >3

Therefore, 6.750 is greater than 6.732

6.75>6.732

Answer:

person above me is correct, dk why they have a 4

Step-by-step explanation:

Answer:

How many students are NOT in advanced math? 250 students...

C.) 4 Hours, $60 Hope this helps!!!

Answer:

B. It describes the distance between 6 and -6 on the number line. (wrong)

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

2/3 of 30 is 20

Answer:

Its 92 :D

Step-by-step explanation:

Answer: 92

Step-by-step explanation:

Answer:

Step-by-step explanation:

the total price for clothes= 24.95+14.95=39.90

sales tax 39.90*9.5/100=3.79

the total paid to the clerk will be=39.90+3.79=43.69

Answer:

The rate of change is of 2.25 degrees per hour.

Step-by-step explanation:

The rate of change in degrees per hour is given by by the change in temperature divided by the change in time(by number of hours).

In this question:

From 6 am to 2 pm, there are 12 - 6 + 2 - 0 = 6 + 2 = 8 hours

The change in temperature was of 76 - 58 = 18º

Rate of change:

18º/8 = 2.25º

The rate of change is of 2.25 degrees per hour.

Answer:

-10.4 is the answer from my side

Answer:

50000 km per cm I think

Step-by-step explanation:

Answer:

5km to 1cm, (50000:1, if converted to centimeters).

Step-by-step explanation:

Answer:

868x

Step-by-step explanation:

Answer:

8/20= 4/5

25/60= 5/12

Step-by-step explanation:

8÷4

Answer:

I have 2

1)working for 2 hours and getting payed $55

2)you have $-55 in your bank

Step-by-step explanation:

The required integer that represents paying a bill of $55 would be "55".

Integers are defined as the collection of Whole Numbers  Integers is represented by the symbol Z.

Integers are numbers that can be written without a fractional or decimal component, such as -3, -2, -1, 0, 1, 2, 3, and so on. They include the positive whole numbers (1, 2, 3, etc.), the negative whole numbers (-1, -2, -3, etc.), and zero.

We have to write an integer to represent the given situation.

As per the question, the integer represents the amount of money being paid in dollars.

Therefore, an integer that represents paying a bill of $55 would be "55".

To learn more about the integers click here:

https://brainly.com/question/1768254

#SPJ2

Complete Question:

Elijah asked 300 students at his school to name their favorite type of pet. The results are shown in the pie chart below. How many students chose fish as their favorite pet?

a. 180 b. 18 c. 54 d. 30

*Check the attachment for the pie chart

Answer:

C. 54

Step-by-step explanation:

Total number of students under survey = 300

Percentage of students who chose fish as their favorite = 18%

Number of students who chose fish as their favorite pet = [tex] \frac{18}{100} * 300 [/tex]

[tex] = 18 * 3 [/tex]

[tex] = 54 [/tex]

54 students chose fish as their favorite pet.

Answer: [tex]f(t)=550t[/tex]

Step-by-step explanation:

Given

Distance between Toronto to Dallas is 1200 miles

speed of the plane is 550 mph

We know, [tex]distance=speed\timestime[/tex]

for any time t, distance is given by

[tex]distance=f(t)=550\times t[/tex]

where t is hours

for [tex]t=0,f(t)=0[/tex] i.e. plane is at Dallas at 2 pm

time taken to reach dallas is [tex]\dfrac{1200}{550}=2.18\ \text{hr}[/tex]

Answer:

Metals which react with steam form the solid metal oxide and hydrogen gas.

In general, the more reactive the metal, the more rapid the reaction. Aluminium is unusual, because it is a reactive metal that does not react with water. Its surface forms a protective layer of aluminium oxide that keeps water away from the metal below.

The apparatus used to react a metal with steam and collect the gas produced is shown below.

Answer:

This is because some metals like aluminium, zinc, iron do not react with hot/cold water ; they react only with steam to form a metal oxide and hydrogen.

Step-by-step explanation:

Answer:

(-4,-10) and (5,-3)

Step-by-step explanation:

To be honest, this kind of question allows for any coordinates as long as they have the slope of 9/7.

I know the slope equation is (y2-y1)/(x2-x1) = m (where m is slope)

(y2-y1)/(x2-x1) = 9/7

From this equation, find any two numbers that have a difference of 9 to the y-coordinates.

I'll go with 5 and -4 (y-coordinates)

And two integers that have a difference of 7 for the x-coordinates.

I go with -3 and -10 (x- coordinates)

So the points I got are,

(5-(-4))/((-3)-(-10)) = 9/7

5-(-4) is equal to 5+4 (2 minus signs are equal to 1 plus sign), which is 9.

(-3)-(-10) is equal to -3+10 (2 minus signs are equal to 1 plus sign), which is 7.

The two points are (-4,-10) and (5,-3)

Notice if we were to subtract 5 from -4, we would also have to subtract -3 from -10.

-4-5= -9 and -10- -3 = -10+3 = -7

-9/-7 is the same as 9/7.

Basically, (-4,-10) and (5,-3) are different coordinates and you can only switch them as coordinate 1 or 2 but not the points.

Sorry, took a while, hope I was able to help! Good Luck.

Answer: C

Step-by-step explanation:

Answer:

31.25

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

Let the number be x

10 - (3 + x) = 5

10 - 3 -x = 5

7 - x = 5

x = 7-5

x = 2

Answer:

First one is 6 16/21

Second one is 3 14/15

Step-by-step explanation:

Answer:

(8x - 9)˚ = 63˚

and

(3x)˚ = 27˚

Step-by-step explanation:

heeyyyyy remember me?

Complementary angles are angles that equal 90˚, so we can create an equation:

(8x - 9) + 3x = 90

Remove the paranthesis

8x - 9 + 3x = 90

Add 9 to both sides

8x + 3x = 99

Simplify

11x = 99

divide both sides by 11

x = 9

So if we plug in x for 9 we get:

8x - 9

8(9) - 9

72 - 9

63

3x

3(9)

27

So

(8x - 9)˚ = 63˚

and

(3x)˚ = 27˚

Answer: 6 or 20 would be the amount. (if there was only one, then i revise this.)

Step-by-step explanation: