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

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:

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

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

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

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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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.

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

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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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

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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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

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:

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]

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

Answer:

I  believe it's A)

Step-by-step explanation:

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:

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.

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

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

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

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:

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.

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!

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

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

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

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]

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!

__________

[tex] \: [/tex]

Answer in the picture.