14. Janie Christopher lent $6000 to a friend for 90 days at 12%. After 30 days, she sold the note to a third party for $6000. What annual simple interest rate did the third party receive? Use 360 days in a year

Answers

Answer 1

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14. Janie Christopher Lent $6000 To A Friend For 90 Days At 12%. After 30 Days, She Sold The Note To
Answer 2

Using the simple interest relation, the annual simple interest rate received by the third party is 11%

The interest rate = 12%

The daily interest rate on the fee can be calculated thus :

Number of days, n = 360

Daily interest rate = 12% / 360 = 0.0333%

Of the initial 90 days, 30!days has elapsed, hence, the annual simple interest rate recuved by the third party would be :

(0.0333% × (360 - 30)) = 11%

Hence, the annual simple interest rate received by the third party is 11%.

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Related Questions

What is the square root of 121?

Answers

Answer:

11

Step-by-step explanation:

A square root is any number that is multiplies by itself to get a number.

11*11=121

Hope this helps! Plz give brainiest!

What is the equation of the blue line?

Answers

9514 1404 393

Answer:

  y = 2

Step-by-step explanation:

A horizontal line has the equation ...

  y = constant

The constant can be found by counting grid squares or reading the label on the y-axis where the line crosses.

The equation of the blue line is y = 2.

The difference between two numbers is 33 and the
ratio between them is 5 : 2. Find the numbers.

Answers

Answer:

55 and 22

Step-by-step explanation:

first let the numbers be x

5x-2x=33

3x=33

x=11

3(11)=33

5(11)=55

brainlist answer please

graph the solution to the following equation: x+y= -8​

Answers

See image below for answer

Will give brainliest answer

Answers

Answer:

I  believe it's A)

Step-by-step explanation:

Given the graph of two linear equations, describe how to determine the solution.
How could the solution be verified?

(That’s how the question looks like And I WILL give brainliest to whoever is correct)

Answers

Answer:

The solution is the point of intersection of the lines on the graph. Then, substitute the x and y values into both equations to see if they produce two true statements.

Step-by-step explanation:

I got it right Edge 2021. Use "Wordtune Editor" and click "Rewrite" so it's not plagerism.

Answer:

Sample Response: The solution is the point of intersection between the lines on the graph. Identify this point and substitute the x and y values into both equations to see whether they produce two true statements.Step-by-step explanation:

d−21.4=87.9
il will give you brainlyest if you show your work

Answers

Answer:

d = 109.3

87.9 + 21.4 = 109.3

109.3 - 21.4 = 87.9

Answer:

d-21.4=87.9

Step-by-step explanation:

d=87.9+21.4

d=109.3

d=109.3/1

=109.3

Question 3 (Mandatory) (10 points)
Simplify

(2/3a - 5) - (1/3a + 3)


*Please show your work so I can’t understand better thank you*

Answers

Answer:

1/3a - 8

Step-by-step explanation:

Distribute negative sign:

2/3a - 5 + -1 (1/3a + 3)

2/3a + -5 + -1 (1/3a) + (-1)(3)

2/3a + -5 + -1/3a + -3

Combine like terms:

2/3a + -5 + -1/3a + -3

(2/3a + -1/3a) + (-5 + -3)

= 1/3a - 8

alguien me ayuda? porfa

Answers

Answer:

1.  -2

2.  -10

3.  -30

4.  -2

5  -21

6.  -10

7.  -1

8.  -4

9.  -170

10.  -15

Step-by-step explanation:

The retail price of a television set is $4500. If the buyer pays cash, the price is 10% below the retail price. If the set is bought on hire purchase, the buyer pays a down payment of $675 and 24 monthly instalments of $212.50. Determine the cash price.​

Answers

A.4500 × 10% = 450.
675 +212,5×24 = 5775.
5775 - 4050= 1725

4500-450=4050
B. 1725/4500=x10%=38.3%
5775- 4500 = 1275
1275/4.500= ×/10% = 28.38

4050 is the  cash price of the  television set whose retail price is $4500

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that the retail price of a television set is $4500

If the buyer pays cash, the price is 10% below the retail price

If the set is bought on hire purchase, the buyer pays a down payment of $675 and 24 monthly instalments of $212.50

we need to find the  cash price.​

We need to find the 10% of 4500:

Convert 10% to decimal form

10/100=0.1

Now multiply 0.1 with 4500

0.1×4500=450

Substract the 10% to the retail price:

4500-450=4050

Hence, 4050 is the  cash price of the  television set whose retail price is $4500

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Shown below are the scatter plots for four data sets.
Answer the questions that follow.

Answers

Clusters are when data is very close together therefore graphs 2 and 3 have clusters. The data doesn’t seem to fit the regression line very well like figure 4.

Outliers in data or scatter plots are when values are very separated form each other therefore scatter plot 1 is the only one that has outliers. It has blue dots that are very separate from its regression line.

Figure four doesn’t fit any of the questions asked.
Hope this helps!

Solve for x
6(x+6)=4x−2

Answers

Answer:

x = -19

Step-by-step explanation:

6x + 36 = 4x - 2

6x + 36 - (4x - 2) = 4x - 2 - (4x - 2)

2x + 38 = 0

2x = -38

x = -19

solve for x.
6(x+6)=4x-2
x=-19

What are the measures of Angles a, b, and c?

Show your work and explain your answers.​

Answers

Answer:

∡a has a vertical angle sibling of 40°, and vertical angles are always congruent.

∡b is the 3rd angle in a triangle, the other two are 40° and 90°, recall all interior angles in a triangle add up to 180°.

∡c is a linear angle, namely an angle on the same flat-line as another, and linear angles always add up to 180°.

Step-by-step explanation:

Solve the following system of equations graphically. Click on the graph until the correct solution of the system appears.

y = -3
x - y = 8

Answers

Putting y=-3 in second equation

[tex]\\ \sf\longmapsto x-(-3)=8[/tex]

[tex]\\ \sf\longmapsto x+3=8[/tex]

[tex]\\ \sf\longmapsto x=8-3[/tex]

[tex]\\ \sf\longmapsto x=5[/tex]

(x,y)=(5,-3)

Can someone please help me for questions 22 and 23???

Answers

22. 2x - 3 would be the equation, the numbers could be x = 4, then y = 5. The other number would be x = 5 and y = 7

23. First you need to find the difference between 0 secs and 20 sec , which is 37. So the amount lost in 10 secs would be 18.5mm. Then you could multiply this by 3 to find for 30 secs, which is 55.5mm and you subtract 55.5 from 120 which gives 64.5mm.

Estimate 1299+13,522 +6424 by first rounding each number to the nearest thousand.

Answers

Answer:

1299+13522+6424=21245

round off to the nearest thousand

21,245

the nearest thousand is 1,000

the number beside it is 200

according to the rule to round off it has to be above 5 it is not

so drop off the 2 and add zero to the end

now your answer is 21,000

Step-by-step explanation:

hope this helps good luck!

Answer:

Step-by-step explanation:

1299 + 13522 + 6424 = 1000 + 14000 + 6000

                                   = 21000

1299 ---> hundred place is 2 < 5. So, 1000

13522 ----> Hundreds place is 5 ≥5. so, add one to the thousands place.

                 Which is 14000

Pls answer my questions on this pic here
(must include the math work)
i will give brainlist for the most helpful answer

Answers

Answer:

252, 1 1/4, 308, 1 1/2

Step-by-step explanation:

5. The kitchen is 2 1/4 in by 1 3/4 in. 2 1/4in = 9/4in = 18ft. 1 3/4in = 7/4in = 14ft.

So we have 18ft by 14ft. The area is one side multiplied by the other side:

18 × 14 = 252ft^2.

6. 10/2 = 5. 5/4 in = 1 1/4in.

7. Bedroom 2 is 1 3/4in by 2 3/4in. 1 3/4in = 7/4in = 14ft. 2 3/4in = 11/4in = 22ft.

14ft × 22ft = 308ft^2 of carpet.

8. 12ft/2 = 6. 6/4 = 1 2/4 = 1 1/2 in.

Hope that helps!

>> Answer

__________

[tex] \: [/tex]

Answer in the picture.

1. A local charity is collecting food for the winter. They have asked 150
families to donate 5 cans of food. If 80% of the families donate 5 cans of
food, how many cans should the charity collect? *

Answers

The charity should collect 600 cans of food

Number of families that the charity asked to donate food = 150

80% of the families donated 5 cans of food

Number of families that actually donated 5 cans of food = (80/100) x 150

Number of families that actually donated 5 cans of food = 0.8 x 150

Number of families that actually donated 5 cans of food  = 120

Number of cans donated by each family = 5

Number of cans donated by 120 families = 5 x 120

Number of cans donated by 120 families = 600

The charity should collect 600 cans of food

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The population of a town increases every year by 2% of the population
beginning of that year. The number of years by which the total increase of
population be 40% is

Answers

Answer:

Step-by-step explanation:

A = Pe^rt

A = 1.4P

r = 0.02

t = ?

e^0.02t = 1.4

ln both sides

0.02t = ln(1.4)

t = ln(1.4)/0.02

t ~ 16.8 years

When I am trying to find the whole of the percent and divide it what do I do with the remainder? Like do I put it together with the answer and go on or multiply them together ?

The problem I’m solving is [What number is 70% of 279]

And I divided them too and I got 39 and 3 reminder. Please scallion and help me with this problem in order to get marked

Answers

Answer:

a. 9.48

b. 195.3

Step-by-step explanation:

convert the corresponding per cent into a decimal (you can move the decimal place to the left by 2 or divide by 100) then just multiply it with the "of" number

Please help me, I'm on a test
Sara bought one bunch of lettuce for $1.60. How many bunches can she get if she has $24?

Answers

Answer:

38.40

Step-by-step explanation:

If you multiply 1.60 by 24 it will get you 38.40

Answer:

15 bunches

Step-by-step explanation:

So if each bunch of lettuce costs $1.60, you can divide that by 24, which is the amount of money you have, to get 15 bunches.

[tex]\frac{1.60}{24}[/tex] = 15

Find the equation of a parabola in vertex form with given vertex and point.
Vertex (0,1) and passing through (-1,0)

Answers

keeping in mind that we could have a horizontally opening parabola or a vertically opening one using those values, let's use the vertical parabola type for the equation

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(0,1)}\\\\ \stackrel{"a"~is~negative}{o pens~\cap}\qquad \stackrel{"a"~is~positive}{o pens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]y=a(x-0)^2+1\implies y=ax^2+1\qquad \textit{we also know that when} \begin{cases} x = -1\\ y = 0 \end{cases} \\\\\\ 0 = a(-1)^2+1\implies 0=a+1\implies \boxed{-1=a} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-x^2+1\implies \stackrel{\textit{vertex form}}{y = -(x-0)^2+1}~\hfill[/tex]

Explain how to determine whether the difference of two numbers is less than or greater than the first number.

Answers

Answer:

To determine if the difference of two numbers is less or greater than the first number, check the value of the first number, and the value of the second number.

(greater) - (lesser) = (positive)

(lesser) - (greater) = (negative)

(neg lesser) - (neg greater) = (positive)

(neg greater) - (neg lesser) = (negative)

For Example:

10 - 5 = 5

5 - 10 = -5

(-5) - (-10) = 5

(-10) - (-5) = -5

Please correct me if I’m wrong, I may have misunderstood the question.

Which line shows the first error in the solution? Three more than a number divided by 4 is -12. What is the number?

Answers

Answer: Line 3

Explanation:

On the third line is where the student went from -12-3 to -9. This is not correct. Instead, it should be -12-3 turning into -15.

Think of it like being 12 feet under water (the number -12) and then moving 3 more feet deeper under water. You'll move down 3 to get to -15 to represent being 15 feet under water. Use a vertical number line if needed.

You can also compute -12-3 like 12+3 = 15, then just make everything negative. So -12-3 = -15

Given w =StartRoot 2 EndRoot (cosine (StartFraction pi Over 4 EndFraction) + I sine (StartFraction pi Over 4 EndFraction) ) and z = 2 (cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFraction) ) , what is w – z expressed in polar form?

StartRoot 2 EndRoot (cosine (StartFRaction pi Over 4 EndFraction) + I sine (StartFraction pi Over 4 EndFraction) )
StartRoot 2 EndRoot (cosine (StartFraction 3 pi Over 4 EndFraction) + I sine (StartFraction 3 pi Over 4 EndFraction) )
StartRoot 2 EndRoot (cosine (StartFraction 5 pi Over 4 EndFraction) + I sine (StartFraction 5 pi Over 4 EndFraction) )
StartRoot 2 EndRoot (cosine (StartFraction 7 pi Over 4 EndFraction) + I sine (StartFraction 7 pi Over 4 EndFraction) )Solve the following triangle using the Law of Sines.
(9 points)

Answers

Answer:

  d) √2∠(7π/4)

Step-by-step explanation:

Sometimes the expression A(cos(α)+i·sin(α)) is written as A·cis(α). I prefer the notation A∠α, because it is more compact.

You are given ...

  w = √2∠(π/4)

  z = 2∠(π/2)

And you are asked to find the difference w-z in polar form.

__

In rectangular form, ...

  w = √2∠(π/4) = √2(1/√2 +i/√2) = 1 +i

  z = 2∠(π/2) = 2(0 +i·1) = 2i

Then the difference is ...

  w -z = (1 +i) -(2i) = 1 -i

You may notice this is the conjugate of w, so will have the opposite angle:

  w - z = w* = √2∠(-π/4) = √2∠(7π/4)

In the terms used by the problem statement, ...

  w -z = √2(cos(7π/4) +i·sin(7π/4)) . . . . matches choice D

If s = 36, what is the value of 2−s? −38 - 38 −34 - 34 34 34 38

Answers

Answer:

-34

Step-by-step explanation:

Substitute the value for the variable and evaluate.

[tex]2-s\\\\2-(36)\\\\2-36\\\\-34[/tex]

Answer:

38

Step-by-step explanation:

In ANOP, NP is extended through point P to point Q, m_OPQ = (9x – 19)°,
mZPNO = (2x + 5), and mZNOP = (3x + 16º. Find mZNOP.

Answers

Answer:

The values of x and y are x = 6 and y = 9Step-by-step explanation:

MNOP is a parallelogram its diagonal MO and PN intersected at point A

In any parallelogram diagonals:

Bisect each other

Meet each other at their mid-point

In parallelogram MNOP

∵ MO and NP are its diagonal

∵ MO intersect NP at point A

- Point A is the mid-point pf them

∴ MO and NP bisect each other

∴ MA = AO

∴ PA = AN

∵ MA = x + 5

∵ AO = y + 2

- Equate them

∴ x + 5 = y + 2 ⇒ (1)

∵ PA = 3x

∵ AN = 2y

- Equate them

∴ 2y = 3x

- Divide both sides by 2

∴ y = 1.5x ⇒ (2)

Now we have a system of equations to solve it

Substitute y in equation (1) by equation (2)

∴ x + 5 = 1.5x + 2

- Subtract 1.5x from both sides

∴ - 0.5x + 5 = 2

- Subtract 5 from both sides

∴ - 0.5x = -3

- Divide both sides by - 0.5

∴ x = 6

- Substitute the value of x in equation (2) to find y

∵ y = 1.5(6)

∴ y = 9

The values of x and y are x = 6 and y = 9

Use the digits nine, six and three one time each in the following Multi digit division problem then rewrite the problem

Answers

3600 / 90 = 40

use in this order: 3, 6, 9

The number in the problem whose result is 40, will be 3,600 and 90.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Use the digits nine, six, and three one time each in the following Multi-digit division problem then rewrite the problem.

Then the problem whose result is 40 will be given as the division of 3600 by 90.

3,600 / 90 = 40

The number in the problem whose result is 40, will be 3,600 and 90.

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aolve the equation. 3/4x+3-2x = -1/4+1/2x+5

Answers

X would equal up to -1

Elizabeth uses 33.15 ounces of granola for 15 servings of trail mix.
If each serving contains the same amount of granola, how much granola is in each
serving?

Answers

Answer:

Step-by-step explanation:

We have to do 33.15 / 15 to find how much is in each.

We change 33.15 into a fraction

We get 33 3/20

We do 33 3/20 / 15 = 33 3/20 * 1/15 = 663/20 * 1/15 = 663/300 = 2 63/300

Therefore, 2 63/300 ounces of granola is in a serving.

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