To purchase $12,300 worth of machinery for her business, Lucy made a down payment of $1,500 and took out a business loan for the rest. After 3 years of paying monthly payments of $328.57, she finally paid off the loan.

(a) What was the total amount Lucy ended up paying for the machinery (including the down payment and monthly payments)?

(b) How much interest did Lucy pay on the loan?

Answers

Answer 1

Answer:

3%  to as high as 80%

Step-by-step explanation:


Related Questions

Solve the equation.
x – 21 = 6
x=

Answers

The answer is going to be 27 as x so 27-21=6 to check you can do 6+21 which would equal to 27 so that’s the answer.

Answer:

x = 27

Step-by-step explanation:

[tex]x - 21 = 6[/tex]

Add 21 to both sides.

[tex]x = 6 + 21[/tex]

[tex]x = 27[/tex]

y greater than or equal to |x| + 3

which of the following is NOT a solution of the inequality

Answers

(-3,0) would not be a solution to the inequality.

Answer:

We conclude that the point (-3, 0) does NOT satisfy the inequality.

Step-by-step explanation:

Given the expression

[tex]y\ge \:\left|x\right|+3\:\:\:\:[/tex]

putting x = -3 and y = 6

[tex]6\ge \left|-3\right|+3\:\:\:[/tex]

Apply absolute rule: |-a| = a

[tex]6\ge \:6[/tex]

TRUE

Thus, the point (-3, 6) satisfies the inequality.

Given the expression

[tex]y\ge \:\left|x\right|+3\:\:\:\:[/tex]

putting x = 0 and y = 4

[tex]4\ge \left|0\right|+3[/tex]

Apply absolute rule: |a| = a, a≥0

[tex]4\ge \:3[/tex]

TRUE

Thus, the point (0, 4) satisfies the inequality.

Given the expression

[tex]y\ge \:\left|x\right|+3\:\:\:\:[/tex]

putting x = -3 and y = 0

[tex]0\ge \left|-3\right|+3\:\:\:[/tex]

Apply absolute rule: |-a| = a

[tex]0\ge \:6[/tex]

FALSE

Thus, the point (-3, 0) does NOT satisfy the inequality.

Therefore, we conclude that the point (-3, 0) does NOT satisfy the inequality.

What is the answer of a multiplication problem called
What is the answer of a division problem called

Answers

Answer:

In multiplication the answer is called PRODUCT and in division the answer is called quotient.

Step-by-step explanation:

I hope that helps and you get a good grade :)

The answer to a multiplication problem is called a Product.                                                    The answer to a division problem is called the quotient.

please help! i don’t understand this

Answers

Answer:

[tex]No\ Solutions[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\-x+2y=7\\x-2y=7\\By\ simply\ adding\ the\ system\ of\ equations,\\(-x+x)+(2y-2y)=(7+7)\\0+0=14\\Hence,\\0=14\\As\ the\ equation\ above\ doesnt\ make\ sense\ as\ 0\ doesn't\ equal\ to\ 14,\\There\ are\ no\ solutions\ that\ satisfy\ the\ equation.[/tex]

Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement.
If no, justify your answer.
Please help !!!

Answers

Answer:

[tex]\boxed{\boxed{\pink{\bf\leadsto No }}}[/tex]

Step-by-step explanation:

No , theres not enough information provided to Prove that both the triangles are congruent. Here in the figure we can see that there are two triangles ∆ BDA and ∆ BDC. And its given that

AB = BC BD = BD ( common side )

The congruence conditions for two ∆s are :-

1) SAS ( Side Angle Side )

→ Two triangles are said to be congruent by SAS if two respective sides of the two triangles and the included angle between two sides are equal.

2) AAS ( Angle Angle Side )

→ Two triangles are said to be congruent by AAS if two angles and one side of triangle is congruent to other two angles and one side of the triangle .

3) SSS ( Side Side Side )

→ Two triangles are said to be congruent by SAS if all the three sides of one triangle is equal to three sides of the other triangle.

4) RHS ( Right Hypotenuse Side )

→ In two right-angled triangles, if the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are congruent.

And the given data doesn't satisfies any of the conditions.

Hence there is not enough information provided to Prove that two triangles are congruent .

No, there are not enough information provided to Prove that both the triangles are congruent.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

In the figure we can see that there are two triangles ∆ BDA and ∆ BDC. And its given that

AB = BC

BD = BD ( common side )

The congruence conditions for two ∆s are :-

1) SAS ( Side Angle Side )

Two triangles are said to be congruent by SAS Postulate if two respective sides of the two triangles and the included angle between two sides are equal.

2) AAS ( Angle Angle Side )

Two triangles are said to be congruent by AAS Postulate if two angles and one side of triangle is congruent to other two angles and one side of the triangle .

3) SSS ( Side Side Side )

Two triangles are said to be congruent by SAS Postulate if all the three sides of one triangle is equal to three sides of the other triangle.

4) RHS ( Right Hypotenuse Side )

In two right angled triangles, if the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are congruent.

The given data doesn't satisfies any of the conditions.

Hence, there is not enough information provided to Prove that two triangles are congruent .

Learn more about congruent triangles;

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ANSERR GIVE ME ANSWERS PLS

Answers

Answer:

Concept: Mathematics

When you multiply a number by something to the 10 power of something then you move whatever place of the exponential to the right if its positive and left if it's negative.

1.365 × 10^1 You see its positive 1 hence we move one space to the right Our answer is now 13.65

You keep doing the same thing

1.365 × 10^2 136.5

Lastly

1.365 ×10^3 1365

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What will be the result of substituting 2 for x in both expressions below?

One-half x + 4

x + 6 minus one-half x minus 2
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.
One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.

Answers

It’s the first answer, both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

1/2 of x +4
=1/2(2)=1.
1+4= 5

2+6=8
1/2(2)=1.
8-1=7
7-2=5

Answer:

A

Step-by-step explanation:

WILL GIVE 5 STAR IF CORRECT: Amelia uses her credit card to buy some clothes for $678.34. She can pay off up to $235 per month. The card has an annual rate of 21.7% compounded monthly. How much total interest will she pay? (4 points)


$11.93


$12.27


$24.65


$29.72

Answers

Answer:

chetta es polla airemeris di quana premeria

Step-by-step explanation:

Answer:

Month 1:

Calculate Balance (by adding interest to existing balance): 678.34*(1 + 0.217/12) = 690.606648333333 = 690.61

Make payment: 690.61 - 235 = 455.61

Old Balance: 690.61

New Balance: 455.61

--------------------------------------------------------------

Month 2:

Calculate Balance (by adding interest to existing balance): 455.61*(1 + 0.217/12) = 463.8489475 = 463.85

Make payment: 463.85 - 235 = 228.85

Old Balance: 463.85

New Balance: 228.85

--------------------------------------------------------------

Month 3:

Calculate Balance (by adding interest to existing balance): 228.85*(1 + 0.217/12) = 232.988370833333 = 232.99

Make payment: 232.99 - 232.99 = 0

Old Balance: 232.99

New Balance: 0

--------------------------------------------------------------

Payments Made: 235, 235, 232.99

Number of Payments Made: 3

Total Cost: 235 + 235 + 232.99 = 702.99

Total Cost: $702.99

Total Interest: 702.99 - 678.34 = 24.65

Total Interest: $24.65

10 x 1/2+(-6)(-3) simplified in steps

Answers

Answer:

the answer is:

(12) + (18) = 30

helpppp! how do I solve this!

Answers

Answer:

maybe similiar, check again

Step-by-step explanation:

Answer:

it is similar

Step-by-step explanation:

The number of the students the bus holds, s, is less than 40

Answers

Answer:

yes

Step-by-step explanation:

The required expression represents the number of students on the bus would be S < 40.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
According to the question,
The number of students the bus holds, s which is less than 40,
So
S is less than 40
S < 40  
[in math we have inequality represent the less than relation or greater than the relation with symbols "<"  and ">"]

Learn more about inequality here:

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please answer if you think you are kind and beautiful of world

Answers

Answer:

y = 0

Step-by-step explanation:

Given (-5, 0) and (0, 0),

Find the slope (m):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 0}{0 - (-5)} = \frac{0}{5} = 0 [/tex]

Slope (m) = 0.

Find the y-intercept (b):

y-intercept (b) = 0. This is the value of y, when x = 0.

To write the equation of the line, substitute m = 0, and b = 0 into y = mx + b

y = (0)(x) + 0

y = 0 + 0

y = 0

9. Gross Margin equals $50,000, operating expenses equals $23,000, income
taxes equals $5,400 and sales is $110,000. What is the company's net income?

Answers

Answer:

$21600

Step-by-step explanation:

Net income is calculated by deducting all company expenses from its total revenue. Net income is given by the formula:

Net income = Revenue - cost of goods sold - operating expenses - tax.

But Gross margin = gross profit = Revenue - cost of goods sold. Hence:

Net income = Gross margin - operating expenses - tax.

Substituting gives:

Net income = $50000 - $23000 - $5400

Net income = $21600

–9p – 17 = 10
A. –3
B. 16
C. 18
D. –16
i will give brainly

Answers

Answer:

A. -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define

-9p - 17 = 10

Step 2: Solve for p

Add 17 on both sides:                    -9p = 27Divide -9 on both sides:                p = -3

I WILL ONLY GIVE BRAINLIEST IF YOU SHOW YOUR WORK

Answers

Answer:

Books due to this week=1260

Step-by-step explanation:

F-books checked out=12500*(2/5)=5000

nonF-books checked out=19000*(2/5)=7600

Total checked books=5000+7600=12600

Books due to this week = (1/10)*12600=1260

Determine if the following relations are functions, and justify why.
a) **{(1, −2), (−2, 0), (−1, 2), (1, 3)}
Function?: ____________
Justification: ____________________________________________________________________________

Answers

122383838;7;73737373737337377373733

A spinner divided into six equal parts. It has three green parts, two purple parts, and one white part. What is the probability of spinning green twice in 2 spins

Answers

Answer:

1/4

Step-by-step explanation:

Given that :

Number of green = 3

Number of purple = 2

Number of white = 1

Probability of spinning green twice in 2 spins :

Probability = required outcome / Total possible outcomes

P(green on first spin) = 3 / 6 = 1/2

P(green on second spin) = 3/6 = 1/2

Hence, Probability of spinning green twice in 2 spins will be :

1/2 * 1/2 = 1/4

Solve the system using substitution.
y + 8x = 10
2y - 4x = 40
(-1, [?])

Answers

Solve for

y

in the first equation.

Tap for more steps...

y

=

20

+

4

x

2

x

2

y

=

10

Replace all occurrences of

y

in

2

x

2

y

=

10

with

20

+

4

x

.

y

=

20

+

4

x

2

x

2

(

20

+

4

x

)

=

10

Simplify

2

x

2

(

20

+

4

x

)

.

Tap for more steps...

y

=

20

+

4

x

10

x

+

40

=

10

Solve for

x

in the second equation.

Tap for more steps...

y

=

20

+

4

x

x

=

3

Replace all occurrences of

x

in

y

=

20

+

4

x

with

3

.

y

=

20

+

4

(

3

)

x

=

3

Simplify

20

+

4

(

3

)

.

Tap for more steps...

y

=

8

x

=

3

The solution to the system of equations can be represented as a point.

(

3

,

8

)

The result can be shown in multiple forms.

Point Form:

(

3

,

8

)

Equation Form:

x

=

3

,

y

=

8

The solution of the given system of linear equations using substitution method is [tex]x = -1, y = 18[/tex].

What is substitution method?

The substitution method can be defined as a way to solve a linear system algebraically. The substitution method works by substituting one y-value with the other. To solve it easily, the method involves finding the value of the x-variable in terms of the y-variable. After that, we then end up substituting the value of x-variable in the second equation. This helps us to directly find the value of the y-variable. We can now put the value of y in any of the given equations to find x.

The given system of equations are:

[tex]y + 8x = 10[/tex]..... (1)

[tex]2y - 4x = 40[/tex]..... (2)

The given value of [tex]x = - 1[/tex]. Therefore, the given value of 'x' satisfies for both the equations given.

Now using substitution method, substituting the value of 'x' in the equation(1), we will get the value of 'y'.

Therefore:

[tex]y + 8(-1) = 10[/tex]

⇒ [tex]y = 10 + 8[/tex]

⇒ [tex]y = 18[/tex]

Again, we can verify the value of 'y' by substituting the value of 'x' in equation (2).

Therefore,

[tex]2y - 4(-1) = 40[/tex]

⇒ [tex]2y = 40 - 4[/tex]

⇒ [tex]y = \frac{36}{2}[/tex]

⇒ [tex]y = 18[/tex]

Hence,

The solution of the given system of linear equations using substitution method is [tex]x = -1, y = 18[/tex].

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Simplify (5^-2)^4

Please explain i keep getting a weird answer.

Answers

Answer:

[tex] \dfrac{1}{5^8} = \dfrac{1}{390625} [/tex]

Step-by-step explanation:

[tex](5^{-2})^4 = 5^{-2 \times 4} = 5^{-8} = \dfrac{1}{5^8} = \dfrac{1}{390625}[/tex]

Pretend this is the answer in da comments

Compare properties of squares and rhombi to properties of other quadrilaterals by answering each question.

(a) Describe a property of squares that is also a property of rectangles.

(b) Describe a property of squares that is NOT necessarily a property of all rectangles.

(c) Describe a property of rhombi that is also a property of squares.

(d) Describe a property of rhombi that is NOT necessarily a property of all parallelograms.

(e) Describe a property that applies to ALL parallelograms.

Answers

Answer:

(a) Describe a property of squares that is also a property of rectangles.

All the angles of a rectangle are 90° Diagonals of a rectangle bisect each other

(b) Describe a property of squares that is NOT necessarily a property of all rectangles.

All sides of a square are equal and parallel to each other

(c) Describe a property of rhombi that is also a property of squares.

Diagonals bisect each other perpendicularly

(d) Describe a property of rhombi that is NOT necessarily a property of all parallelograms.

All sides are equalDiagonals bisect each other perpendicularly

(e) Describe a property that applies to ALL parallelograms.

Opposite angles are equal Opposite sides are equal and parallel Diagonals bisect each other Sum of any two adjacent angles is 180°

for every 1 book harry reads, Emily reads 3. the table shows the ratio 1:3 and two equivalent ratios. which graph shows the correct way to plot ratios of harry's books to Emily's books as ordered pairs?

Answers

Answer:

(1,3) (2,6) (3,9) (4,12)

Step-by-step explanation:

Meanwhile the x value increases by 1, the y value increases by 3.

These triangles are proportional.

What is the value of x?

Answers

Make a ratio using the two values

20:5
x:4

Cross multiply

5x= 80

Divide both sides by 5

80/5 is 16

x is equal to 16

A car travels 350 miles in 5 hours at a constant rate. At this rate, how far will the car travel in 8 hours?

Answers

Answer:

560 is the answer

Step-by-step explanation:

if you divide  by you get 70 so times 70 by 8 to get 560

Answer: 560 miles

Step-by-step explanation: the car travels at a speed of 70 miles per hour. Therefore, multiply 70 by 8 and you get 560



The equation of 2 straight lines that are parallel to each other are defined 4x + py =5 and 2x - 5y -6=0. calculate for p.

by
P(-3,5)
Q (0,3)
R (h,-3)​

Answers

Answer:

-10

Step-by-step explanation:

4x+py=5

Is also 2x+(p/2)y=5/2

And the other is 2x-5y+6=0

As the lines are parallel

2/2=(p/2)/(-5)

p= -10

Could someone help me please with this math question don’t pass it

Answers

Answer:

the answer is option A.

I need help please aspa​

Answers

Answer:

139⁰

Step-by-step explanation:

90+49+41=180

180-41=139⁰

Find the smallest perimeter and the dimensions for a rectangle with an area of 36 in squared.

Answers

Answer:

Therefore the smallest parameters is  (6,6) and a dimension of 24 inches

Step-by-step explanation:

From the question we are told that

area of dimension is  [tex]A=36[/tex]

Generally the perimeter of  rectangle is given as

      [tex]x,y=36[/tex]

Given by

      [tex](x,y)=2x+2y[/tex]

Mathematical solving for perimeter of rectangle

    [tex]x=\frac{36}{y}[/tex]

    [tex]f(y)= 2\frac{36}{2} +2y\\f(y)= \frac{72}{y} +2y[/tex]

Generally in finding minimum perimeter

     [tex]f'(y)=\frac{-72}{y^2} +2=0\\[/tex]

     [tex]y=6[/tex]

[tex]f(6,6)=2(6)+2(6) \\f(6,6)=24 inches[/tex]

Therefore the smallest parameters is  (6,6) and a dimension of 24 inches

What is the value of x in the figure shown below?
650
35°
Respond in the space provided.

Answers

Answer:

[tex]x=100[/tex]

Step-by-step explanation:

[tex]From\ the\ triangle\ given,\\Angles\ measuring\ 65\ and\ 35\ are\ interior\ opposite\ to\ x.\\Hence,\\As\ we\ know\ that\ the\ sum\ of\ two\ interior\ opposite\ angles\ will\ be\\ equal\ to\ the\ exterior\ angle.\\Here,\\35+65=x\\x=100[/tex]

A small aircraft starts its descent from an altitude of h = 1.4 miles, 4 miles west of the runway

a. Find the cubic f(x)=ax3+bx2+cx+d on the interval [−4,0] that describes a smooth glide path for the landing.
b. The function in part (a) models the glide path of the plane. When would the plane be descending at the greatest rate?

Answers

Answer:

Step-by-step explanation:

From the question we are told that

Altitude of Height 1.4miles

4miles west

a) From the question

[tex]f(x)=ax3+bx2+cx+d[/tex] on interval (-4,0)

The descent can be expressed in [tex]\triangle _x =-4,0[/tex]

therefore  initial points is (-4 , 1.4).

final co-ordinate is given by (0,0) as its landing

Mathematically solving in above  cubic equation

 [tex]0 = 0 + 0 + 0 + d \\[/tex]

[tex]d = 0[/tex]

[tex]1.4 = -64a + 16b -4c + d[/tex]

[tex]1 = -45.7a + 11.4b-2.9c+d[/tex]

Generally in this case Slope of tangent at point of descent is zero.assuming flight was initially straight before descent

     [tex]f'(x) = 3ax^2 + 2bx+c[/tex]

    [tex]f'(-4) = 48a -8b + c = 0[/tex]

    [tex]f'(0) = c = 0[/tex]

Mathematically solving above equations we have

[tex]a = \frac{1}{40} \ and \ b = \frac{3}{20}[/tex]

Therefore having found a and b the Cubic equation is given as

[tex]f(x) = \frac{1}{40}x^3 + \frac{3}{20}x^2[/tex]

b)descent at its greatest rate

[tex]f(x)=\frac{1.4}{40} x^3 + \frac{129}{20} x^2[/tex]

[tex]f(x)=\frac{1.4}{40} x^3 + \frac{129}{20} x^2[/tex]

PLEASE HELP ITS DUE TODAY!!

Answers

The answer is 5 because it’s the length of each cube just divide
9 is 5m
10 is 39°

Hope it helps!!
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