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Marcos deposited $500 into a 2.5-year simple interest account. He wants to earn $50 interest. What interest rate must the account pay?

Answers

Answer 1

The account must pay a 40 percent interest rate under Marcos.

A basic interest account is what?

A loan's or deposit's initial principal serves as the foundation for simple interest.

Contrarily, compound interest is calculated based on both the principal amount and the interest that is accrued on it each period.

Simple interest is simpler to compute than compound interest because it is just applied to the principal.

based on the information provided,

500+x=200

x=200/500

x=40

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Related Questions

please help ASAP!
i will give brainliest!! :)

Answers

Answer:

its c i took the test trust me

Step-by-step explanation:

The answer is C I took the test and got the answers on side of me

Of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?
4 graphs. Graph A is a curved line, graph b is horizontal, vertical, and then horizontal, graph C is a line with positive slope, graph D is a parabola.

Answers

Answer:

vertical line

Step-by-step explanation:

If it is possible to draw any vertical line (a line of constant x) which crosses the graph of the relation more than once, then the relation is not a function.

Answer:

the answer is b

Step-by-step explanation

Given that the following statement is true
"If a shape is a polygon, then it is a closed figure."
Which of the following statements must also be true?
A. If a shape is a closed figure, then it is a polygon.
B. If a shape is not a polygon, then it is not a closed figure
C. If a shape is not a closed figure, then it is not a polygon
D. If the shape is not a polygon, then it is a closed figure.

Answers

Answer:

C IS THE ANS COS ALL POLYGONS ARE CLOSED AND IF IT NOT CLOSED IT NOT A POLYGON

A curve is such that (dy)/(dx) = 12/(2x + 1) ^ 2 and P(1, 5) is a point on the curve . (i) The normal to the curve at P crosses the x-axis at Q. Find the coordinates of Q (ii) Find the equation of the curve. (iii) A point is moving along the curve in such a way that the x-coordinate is increasing at a constant rate of 0.3 units per second. Find the rate of increase of the y-coordinate when x=1

Answers

(i) The coordinates of the point Q is [tex](x, y) = (21, 0)[/tex].

(ii) The equation of the curve is [tex]y = 6\cdot \ln (2\cdot x + 1)-1.592[/tex].

(iii) The rate of increase of the y-coordinate is 1.2 units per second.

(i) By analytical geometry, we know that the slope of a line normal of a curve ([tex]m_{\perp}[/tex]) by the following expression:

[tex]m_{\perp} = - \frac{1}{\frac{dy}{dx} }[/tex] (1)

Where [tex]\frac{dy}{dx}[/tex] is the slope of the line tangent to the curve.

If we know that [tex]x = 1[/tex], then the slope of the normal to the curve is:

[tex]\frac{dy}{dx} = \frac{12}{2\cdot (1)+1}[/tex]

[tex]\frac{dy}{dx} = 4[/tex]

And the slope of a line normal of a curve is:

[tex]m_{\perp} = -\frac{1}{4}[/tex]

By definition of secant curve we calculate the remaining coordinate of the point Q:

[tex]m_{\perp} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (2)

Where:

[tex]x_{P}[/tex], [tex]x_{Q}[/tex] - x-coordinates of points P and Q. [tex]y_{P}, y_{Q}[/tex] - y-coordinates of points P and Q.

If we know that [tex](x_{P}, y_{P}) = (1, 5)[/tex], [tex](x_{Q}, y_{Q}) = (x, 0)[/tex] and [tex]m_{\perp} = -\frac{1}{4}[/tex], then the remaining coordinate of point Q is:

[tex]-\frac{1}{4} = \frac{0-5}{x-1}[/tex]

[tex]-\frac{1}{4}\cdot (x-1) = -5[/tex]

[tex]-\frac{1}{4}\cdot x +\frac{1}{4} = -5[/tex]

[tex]\frac{1}{4}\cdot x = \frac{21}{4}[/tex]

[tex]x = 21[/tex]

The coordinates of the point Q is [tex](x, y) = (21, 0)[/tex].

(ii) The equation of the curve is derived by separating the variables and integrating the resulting expression:

[tex]dy = \frac{12}{2\cdot x + 1}\,dx[/tex]

[tex]\int\, dy = 6\int {\frac{2\,dx}{2\cdot x + 1} }[/tex]

[tex]\int \, dy = 6\int {\frac{du}{u} }[/tex]

[tex]y = 6\cdot \ln u[/tex]

[tex]y = 6\cdot \ln (2\cdot x + 1)+C[/tex]

And the integration constant is found for [tex](x,y) = (1, 5)[/tex]:

[tex]5 = 6\cdot \ln(2\cdot 1 + 1) + C[/tex]

[tex]C = -1.592[/tex]

The equation of the curve is [tex]y = 6\cdot \ln (2\cdot x + 1)-1.592[/tex].

(iii) The rate of increase of the y-coordinate by using the differential equation presented in statement and the definition of rate of change:

[tex]\frac{dy}{dt} = \left(\frac{12}{2\cdot x +1}\right)\cdot \frac{dx}{dt}[/tex] (3)

If we know that [tex]\frac{dx}{dt} = 0.3[/tex] and [tex]x = 1[/tex], then the rate of increase of the y-coordinate is:

[tex]\frac{dy}{dt} = \left[\frac{12}{2\cdot (1)+1} \right]\cdot (0.3)[/tex]

[tex]\frac{dy}{dt} = 1.2[/tex]

The rate of increase of the y-coordinate is 1.2 units per second.

To learn more on differential equations, we kindly invite to check this verified question: https://brainly.com/question/25731911

i). The coordinates of Q is equal to:

[tex](x,y) = (21, 0)[/tex]

ii). The equation of the curve is:

[tex]y = 6. In(2.x + 1) - 1.592[/tex]

iii). The rate of increase for y-coordinate when x = 1:

[tex]1.2 units[/tex] per second

i). Using analytical geometry,

[tex]xp[/tex] and [tex]xq[/tex] are the P and Q's x-coordinates.

[tex]yp[/tex] and [tex]yq[/tex] are the P and Q's y-coordinates.

Since ([tex]xp[/tex], [tex]yp[/tex]) = (1,5) and ( [tex]xq[/tex], [tex]yq[/tex]) = [tex](x, 0)[/tex] and m⊥ = - 1/4, the left coordinate of Q's point:-

-1/4 = (0-5)/(x - 1)

∵[tex]x = 21[/tex]

Thus, the coordinates of y = (21, 0)

ii). Through isolating the variables and employing integration:-

[tex]dy = \frac{12}{(2.x + 1)} dx[/tex]

by integration and integration constant (1,5), the equation is:

[tex]y = 6. In(2.x + 1) - 1.592[/tex]

iii). The rate of increase for y-coordinate:

[tex]dy/dt[/tex] = [tex]\frac{(12)}{(2.1 + 1)} .0.3[/tex]

∵ [tex]dy/dt[/tex] [tex]= 1.2[/tex]

Thus, the rate of increase for y-coordinate when x = 1 is 1.2 units per second.

Learn more about "Co-ordinates" here:

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subtract (5z^6-3v)-(-3z^6)

Answers

Answer:

[tex]8z^6-3v[/tex]

Step-by-step explanation:

Help pleasseeeeeeeeeeeeeeeeeeer

Answers

Answer:

4

Step-by-step explanation:

8/12 simplifies to 4/6. so x needs to be 4 for it to work

Tina's Jack Russell weighed 19.5 pounds. This week, her dog weighed 21.8 pounds. Find the percent of change in the weight of her dog?

Answers

Answer:

90%

Step-by-step explanation:

19.5 divided by 21.8 = 0.89449541 = 0.89% or 0.9%

1. What are the different offensive and defensive strategies that are used in water polo?
2. Which strategies do you think are the most difficult to accomplish? Why?
3. Which strategies do you think are the easiest to achieve? Why?

Answers

Answer:

A defensive way is use all your might to jump when the ball is coming at you, because as you might know is it takes a lot of effert to jump in a pool, the gravity is very strong in the pool! Or if you get the ball you can throw and swing your arm as strong as you can a HIT that ball! You wanna hit it hard so the players on the other side of the pool don’t get the ball,instead it will go over them and you WIN!

Step-by-step explanation:

Hope this helped :)✨

I need to know ASAP! Thanks ^^

Answers

Answer:

PQ=30

Step-by-step explanation:

Knowing that the segment has 3 parts that are 3:1:1 and sum up to 50, you could find how much 1 would equal by finding the total in relation to the ratio (doing 3+1+1) which gets you 5 parts. Then you can divide the total (50) by 5 to figure out how much one part would equal (10). Now, since you know that 1 part is equal to 10 and that PQ is 3 parts, you can find that PQ is equal to 3x10, or 30.

First to answer gets a brainliest! (everything is in the photo)

Answers

Answer:

It is ( D )

Step-by-step explanation:

Have a good day

How many times does 2/3 go into 7 1/3

Answers

Answer:

11

Step-by-step explanation:

7 1/3 ÷ 2/3 = 11

(please give brainliest)

Answer: 1/11

Explanation:

KCF

(keep, change, flip)

Marsha is driving 600 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
A. 120 miles


B. 240 miles


C. 300 miles


D. 360 miles

Answers

Marsha had driven 240 miles

A car travels 355 miles in 5 hours. How many miles did they travel per hour?

Answers

Answer:

71 miles in 1 hour

Step-by-step explanation:

divide the total amount of miles by the total amount of hours: 335/5

you get 71 mph

Answer:

71 miles per hour

Step-by-step explanation:

355 divided by 5 is 71

71 x 5 = 355

355 divided by 71 is 5

There were 10 students in a teacher's classroom. The next week, there were 17 students. What is the percent increase
of the number of students?

Answers

The answer is 58 students

LESS THAN 5 MIN!!! WILL GIVE BRAINLIEST


Raise to the power:

(–xn)^4

Answers

Answer:

x^4n^4

Step-by-step explanation:

Answer:

[tex]n^{4} x^{4}[/tex]  

I really hope this helps!

pleaseeee hurryyy i needd helppp
How many solutions are there for this equation? Why?
2(m+2)=12−6m
Select the option that correctly answers both questions.
a. There is one solution, because the coefficients of the variables on both sides of the equation are the same.
b. There are no solutions, because the coefficients of the variables on both sides of the equation are different.
c .There is one solution, because the coefficients of the variables on both sides of the equation are different.
d. There are no solutions, because the coefficients of the variables on both sides of the equation are the same.

Answers

Answer:

C. There is one solution, because the coefficients of the variables on both sides of the equation are different.

Step-by-step explanation:

The solution is m = 1

~theLocoCoco

Which expressions simplify to a rational answer?
Select each correct answer.

Answers

Answer: the answers are the second one and the last one

Step-by-step explanation:

Many counties in Texas missed many school days in the fall of 2017 due to hurricanes
that year. A solution for how to make up those
days was to add time to each school day
for a portion of the year. It was decided that in order to make up a 6 hour school day, 10
minutes would be added to each day. How many extended days would be needed to
make up 3 school days?

Answers

Apá me voy bye a mi baby you and you mom me he levantado de mi cama a la

8a+5 = 7b+4 = 5c + 2

Answers

Answer:

a= -5/8

b= -4/7

c= -2/5

Step-by-step explanation:

8a + 5 = 7b + 4 =5c + 2

I'm not sure what you want with this incomplete question, but I assume it's to find the values of a, b, and c.

Therefore, to find the value of a,

8a+5=0

8a= - 5

a= -5/8

7b + 4=0

7b = - 4

b= -4/7

5c + 2=0

5c= - 2

c= -2/5

Therefore, the values of a, b, and c are -5/8, -4/7 and -2/5

Parallel or perpendicular 3x+5y=10 and 5x-3y=-6

Answers

3x+5y=10 and 5x-3y=-6 is perpendicular.

Help! Plz!
What reflections map the figure onto itself?


The reflections that map the figure onto itself are Ra and Rb where a = and b =

Answers

9514 1404 393

Answer:

a = mb = n

Step-by-step explanation:

The axes of symmetry are shown and labeled m and n. Reflection across either (or both) axis of symmetry will map the figure to itself. Apparently, you want to designate those reflections as ...

  Ra . . . where a = m

  Rb . . . where b = n

Answer:

hope this pic helps enjoy

Can someone please help me with this proof?!

Given: AC and BD bis, each other.

Prove: ABCD is a parallelogram

Answers

Answer:

because AC and BD bis => AX = XC; BX = XD

ΔAXD ≅ ΔCXB (SAS) because: AX = CX

                                                    DX = BX

                                                    m∠AXD = m∠BXC ( 2 opposing angles)

because ΔAXD ≅ ΔCXB (SAS)

=> AD = BC and m∠DAX = m∠BCX

because m∠DAX = m∠BCX => AD//BC

ABCD has AD = BC and AD//BC => ABCD is a parallelogram

Step-by-step explanation:

What two integers does Square root of 50 fall between?

Answers

It falls between 6 and 8

can someone help me?

Answers

Answer:

I hope this helps!

Step-by-step explanation:

1. M is .25

b is 20

so

y= .25x+20

2. y= 3x+2

The perimeter of the rectangle below is 94 units. Find the length of side WX.
Write your answer without variables.

Answers

Answer:

24units

Step-by-step explanation:

2(4y + 3) + 2(5y - 1) = 94

18y + 4 = 94

y = 5

WX = 5y - 1 = 5(5) - 1 = 24units

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First we need to find the value of y .

[tex]Perimeter = 2 \times ( \: (4y + 3) + (5y - 1) \: ) \\ [/tex]

[tex]Perimeter = 2 \times (9y + 2)[/tex]

[tex]Perimeter = 18y + 4[/tex]

Question told us that perimeter is 94 ,

Thus :

[tex]94 = 18y + 4[/tex]

[tex]18y + 4 = 94[/tex]

Subtract sides 4

[tex]18y + 4 - 4 = 94 - 4[/tex]

[tex]18y = 90[/tex]

Divide sides by 18

[tex] \frac{18y}{18} = \frac{90}{18} \\ [/tex]

[tex]y = 5[/tex]

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The face sides in the rectangular are same.

Thus :

[tex]VY = WX[/tex]

So ;

[tex] WX = 5y - 1[/tex]

[tex]WX = 5(5) - 1[/tex]

[tex]WX = 25 - 1[/tex]

[tex]WX = 24[/tex]

Done...

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of
be
A librarian has 43 books to distribute to a group of
children. If he gives each child 2 books, he will have
7 books left over. How many children are in the
group?
A) 15
B) 18
25
D) 29

Answers

The answer is 25 I think sorry if it’s wrong :)

Answer: 18

Step-by-step explanation:

Please help me and make sure to round the answers to the nearest hundred. I’ll give you brainiest!

Answers

Answer:

add 2 zeros at the end of all of them

Step-by-step explanation:

Why would you need inequalities?
plz, help me write a paragraph answering this question ^^^
I really really need help
I will mark brainiest or whatever just plz plz plz help me
has to be at least 3 sentances

Answers

Answer:

An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression. Equations and inequalities can contain both variables and constants.

Step-by-step explanation:

27. Use Structure Use the table at the right. Yolanda is planning a party that will take place in three rooms. a. Write an expression that can be used to represent the total amount Yolanda will need to rent all three rooms and the sound system for t hours. b. How can you use a property to write a simplified equivalent expression?

Answers

Answer:

25t+95 or 5(5t + 19)

Step-by-step explanation:

The total of the sound fee = $25

The total of the rental fee = $95

Write is as an equation and you can get 25t + 95 or 5(5t + 19)

⚠️PLEASE HELP FAST⚠️ Camie and Jorge each begin saving money
for a new computer. Camie saves $5 per
week plus $50 she receives for her birthday.
Jorge saves $7 per week. Which of the
following can be used to find w, the number
of weeks until Jorge has saved at least the
same amount as Camie?
A.7w = 5W + 50
B.50 + 5w < 7w
C.5W + 50 >_7w
D.7W >_5W + 50

Answers

Answer:

The answer is A

Step-by-step explanation:

Camie: $5x + $50 = $55 ( for now/i think)

Jorge: $7x

The  equation to represent  Jorge has saved at least the same amount as Camie is 7w = 5W + 50.

The correct option is (A)

What is equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.

Given:

Camie saves $5 per week plus $50 she receives for her birthday.

Jorge saves $7 per week.

Now, Jorge have to achieve the same amount as Camie.

let w be the number of weeks.

Then equation can be represented as

7w = 5W + 50

Here 7w is amount by Jorge and 5W + 50 is amount of Camie.

Hence, the equation to represent  Jorge has saved at least the same amount as Camie is 7w = 5W + 50.

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