D») 5. Carlos opens a savings account with a deposit of $1,000. The account earns
interest at a rate of 2% per year. Let A(1) denote the amount of money (in
dollars) that is in the account tyears after the account is opened. The
equation below displays the relationship between A(t) and t.

A(1) = 1,000 + 20+

Carlos will not close his account before $1,500 is present. Which of the
following intervals contains all the possible number of years after opening his
account that Carlos could close it?

Answers

Answer 1

Answer: After 25 years

Step-by-step explanation:

You included no intervals as options.

Question however states that Carlos will not close his account before $1,500 is present which means that he will only close this account after the interest has accumulated to $500.

Given that the account makes $20 a year, the number of years it would take to get to $500 is;

= 500/20

= 25 years

Carlos can close the account at any interval after 25 years.


Related Questions

Find the value of x given m (I need a lot of help)

Answers

Answer:

x=7

Step-by-step explanation:

m angle SAR = m angle SQR (angles lying in the same segment of a circle are always equal)

that's why

7x+7=9x-7

9x-7x= 7+7

2x= 14

x=7

Answer:

x=7

Step-by-step explanation:

Given that measure of angle SAR= measure of angle SQR

7x+7=9x-7

-2x=-14

x=7

CHECK:

7(7)+7=56

9(7)-7=56

Which trigonometric identity is the reciprocal of the cos identity?

A. cosec
B. sec
C. sin
D. cot

Answers

Step-by-step explanation:

The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

Can someone explain how to solve this?

Answers

Answer:

here you go. hope this helps!


Help!! Please;-;
Choose the slope and y-intercept that
correspond with the graph.

Answers

Answer:

Y-intercept: -1Slope: -1/3

Step-by-step explanation:

The y-intercept is the point where the line crosses the y axis (horizontal line in graphs). We can clearly see that the y-intercept is -1, since the line intersects the y axis at y = -1.

Ok, now for the slope, we will use this equation, where m is the slope we wish to find.

m = rise/run where rise is the change in y and run is the change in x.

To determine the rise and run, we need two coordinate pairs.

9, -4 and 0, -1 will do

Note: The coordinate pairs are x, y, but slope is y/x, it is important that we do not become confused.

Now, we will subtract one y from the other and then do the same for the x's. It is important that we use the same order for the x's as we do for the y's, in order for the answer to be valid.

Y -4 - -1 = -3

X 9 - 0 = 9

Slope is -3/9 or -1/3

Hope that this answer has helped you, please mark it brainliest if it did :)

hi, can someone help me on a p e x? learning

Answers

Sure whats the problem?

The value of the expression 5³ is 125.

We have,

The concept used in calculating the value of 5 raised to the power of 3 is exponentiation.

In mathematics, exponentiation is an operation that involves raising a base number to a certain power.

The base number (in this case, 5) is multiplied by itself repeatedly, where the number of times it is multiplied is determined by the exponent (in this case, 3).

When we raise 5 to the power of 3, we can interpret it as multiplying 5 by itself three times:

5³ = 5 x 5 x 5  = 125

So, the concept of exponentiation allows us to quickly calculate the result of multiplying a number by itself multiple times, where the exponent indicates the number of repetitions.

Thus,

The value of the expression 5³ is 125.

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The complete question:

What is the value of 5 raised to the power of 3?

Select the section(s) of the graph where the function is decreasing.
1. blue line
2. red line
3. curved blue line
4. green line
can be more than one

Answers

I believe the answers are: red/green

Hope this helps, and happy holidays:)

The graph where the function is decreasing is represented by,  the blue line, red line and the green line.

What is decreasing function?

"If the value of the function f(x) is decreasing on increasing the value of x, then the function is called as decreasing function."

For given situation,

we have been given a piecewise function and its graph.

From the graph of a function,

we can observe that the function f(x) is decreasing for x < -3 , -3 ≤ x ≤ 0, and x > 0

This is represented by, the blue line, red line and the green line

Therefore, the correct options are 1, 2, 4.

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can y^4 / x^3 be simplify

Answers

Answer:

Nope! Thats as simplified as it gets!

Answer:seems like it cant

Step-by-step explanation:

Factorise completely 28x2y2-21x2y3

Answers

Answer: 7x4y5

Step-by-step explanation:

28x 2y 2 -21x 2y 3

add like terms

28x and -21x

2y and 2y

2 and 3

Question 5 (1 point)
At the corner produce market, apples cost $2 each and
oranges cost $1 each.
Find the cost of:
a. 6 apples and 3 oranges:$
apples &
oranges
b. 4 apples and 4 oranges:$
apples &
oranges
c. 5 apples and 4 oranges:
apples &
oranges
d. 8 apples and 2 oranges:$ apples &
oranges
Blank 1:
Blank 2
Blank 3:
Blank 4:
Blank 5
Blank 6:
Blank 7
Blank 8:

Answers

Answer/Step-by-step explanation:

Unit cost of apple = $2 let each

Unit cost of orange = $1 per each

a. Cost of 6 apples = 6 × $2 = $12

Cost of 3 oranges = 3 × $1 = $3

b. Cost of 4 apples = 4 × $2 = $8

Cost of 4 oranges = 4 × $1 = $4

c. Cost of 5 apples = 5 × $2 = $10

Cost of 4 oranges = 4 × $1 = $4

d. Cost of 8 apples = 8 × $2 = $16

Cost of 2 oranges = 2 × $1 = $2

15. Examine the figure below.

If C is the midpoint of BD, what is the coordinate of point C if point B is at 0?

Answers

Answer:

13

Step-by-step explanation:

Given:

BC = 2x + 7

CD = x + 10

Coordinate of point B = 0

Required:

Coordinate of point C

SOLUTION:

Since C is the midpoint of BD, therefore:

BC = CD

2x + 7 = x + 10 (substitution)

Collect like terms

2x - x = -7 + 10

x = 3

BC = 2x + 7

Plug in the value of x

BC = 2(3) + 7 = 6 + 7

BC = 13

Thus, the coordinate of point C would be a distance of 13 units away from the coordinate of point B.

Since the coordinate of B is 0, 13 units away from 0, would be 13.

Therefore, the coordinate of point C = 13

The coordinate of point C if If C is the midpoint of BD will be (0, 13)

From the given diagram, if C is the midpoint of BD, hence;

BC + CD + BD

Given the following parameters

BC = 2x + 7

CD = x + 10

Since C is the midpoint of BD, hence BC = CD

2x + 7 = x + 10

2x-x = 10 - 7

x = 3

Get the measure of BC:

BC = 2x + 7

BC = 2(3) + 7

BC = 13 = CD

Hence the coordinate of point C will be (0, 13)

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Write the slope-intercept form of the equation of the line through the point (1,-3) with a slope of 2.

Answers

Answer:

The answer is

[tex] \huge y = 2x - 5[/tex]

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y + 3 = 2(x - 1) \\ y + 3 = 2x - 2 \\ y = 2x - 2 - 3[/tex]

We have the final answer as

[tex]y = 2x - 5[/tex]

Hope this helps you

The senior classes at High School A and High School B planned separate trips to the local amusement park. The senior class at High School A rented and filled 13 vans and 5 buses with 370 students. High School B rented and filled 12 vans and 10 buses with 600 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.


please show you work

Answers

Answer:

10 students/van

48 students/bus

Step-by-step explanation:

(a) 13v+5b = 370

(b) 12v+10b = 600

(a) - (b)

v -5b = -230

v = 5b-230

12(5b-230) + 10b = 600

60b+10b -2760=600

70b=3360

7b=336

b=48

v = 5(48) - 230 = 10

v = 10

Let's check

12(10) +10(48) = 600

A ​$270 suit is marked down by 10​%. Find the sale price.

Answers

243 dollars
270(.1) = 27
270 -27 = 243

Samuel graphed the equation y = 2x + 2, and Monika graphed the equationy = -2x + 2. How do their two graphs compare?
A. As you trace their graphs from left to right, Samuel's graph rises and Monika's graph
falls.
B. As you trace their graphs from left to right, Samuel's graph falls and Monika's graph
rises.
C. Samuel's graph is a parabola that opens up, and Monika's graph is a parabola that
opens down.
D. Samuel's graph is a parabola that opens to the right, and Monika's graph is a
parabola that opens to the left.

Answers

Answer:

A

Step-by-step explanation:

Because if you look up y=2x+2 that graph rises and if you look up y=-2x+2 it decreases

HELPPPPPPPPPPPPPPPPPPPPPPPPPPP.

Square KLMN with vertices K(0,2), L(1,8), M(7,7), and N(6, 1): 270 counterclockwise about the orgin

Answers

Note: Consider we need to find the vertices of the image.

Given:

Square KLMN with vertices K(0,2), L(1,8), M(7,7), and N(6, 1).

It rotates 270 counterclockwise about the origin.

To find:

The vertices of the image after rotation.

Solution:

If a figure rotates 270 counterclockwise about the origin, then the rule of rotation is defined as

[tex](x,y)\to (y,-x)[/tex]

Using this rule, we get

[tex]K(0,2)\to K'(2,0)[/tex]

[tex]L(1,8)\to L'(8,-1)[/tex]

[tex]M(7,7)\to M'(7,-7)[/tex]

[tex]N(6,1)\to N'(1,-6)[/tex]

Therefore, the vertices of the image are K'(2,0), L'(8,-1), M'(7,-7) and N'(1,-6).

Y=-5/8x+3/2 in standard form

Answers

Answer:

y=0.625

Step-by-step explanation:

Answer:

Sorry about the way it is, I don't know how to fix it But I hope you can try and understand it.

Step-by-step explanation:

y

=

3

8

x

3

4

in standard form is

3

x

8

y

=

6

.

Explanation:

Standard form for a linear equation is

A

x

+

B

y

=

C

.

y

=

3

8

x

3

4

Simplify

3

8

x

to

3

x

8

.

Subtract

3

x

8

from both sides of the equation.

3

x

8

+

y

=

3

4

Multiply both sides by

1

.

3

x

8

(

1

)

+

y

(

1

)

=

3

4

(

1

)

=

3

x

8

y

=

3

4

Multiply both sides by

8

.

(

3

x

)

8

8

y

(

8

)

=

(

3

)

8

4

=

(

3

x

)

8

1

8

1

y

(

8

)

=

(

3

)

8

2

4

1

=

3

x

8

y

=

6

Find all real square roots of 121
If there is more then one answer Separate then with commas if there are none, click on “None”

Answers

Answer:

11,-11

Step-by-step explanation:

This is correct.

hope this helps ;D

Answer:

All real square roots of 121 is +11 and -11.

When you square root something, you take the positive and negative of the number, so the square root of 121 would be 11 and -11.

When you do 11 times 11, you get 121 and when you do -11 times -11, you get 121 as well, this is why we do the negative as well.

#teamtrees #WAP (Water And Plant)

HELP ME PLZZ I NEED HELP WITH THIS!!

Answers

Answer:D

Step-by-step explanation:

-4°F
Over three hours, the temperature drops 12 degrees. -12/3 = -4, so the average change is -4°F

Which number would make this statement true?
<8.9
9.1
8.91
8.09
8.99

Answers

the answer would be 8.09

Answer:

8.09

9.1 is obviously greater than 8.9, when you compare the numbers.

And the other numbers are all 8 in the ones place (to the left of the decimal). So, you have to look at the number in the tenths place (to the right of the decimal). 8.09 has a "0" in the tenths place, & 8.9 has a "9" in the tenths place, making 8.09 less than 8.9.

If you compared the 2 remaining numbers 8.91 & 8.99, they would both be greater, because since they all have the same number in the tenths place, you have to move on to comparing the next number, which would be in the hundreths place (2 digits to the right of the decimal).

georgia made 48 cupcakes for her sister's birthday party. 1/4 of them are chocolate 1/6 of them are strawberry 5/12 of them are vanilla. how many cupcakes are lemon

Answers

Answer:

8

Step-by-step explanation:

I changed all of the denominators to 12. Added it all up and got 10. Multiplied it by 4 and got 40. There is 8 remaining, I hope this helps.

PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ HELP FOR BOTH OF THEM

Answers

Answer:

7) B, C

8) D

Step-by-Step-Explanation:

The first thing you need to solve for is the the parenthesis

the second one simplifies to x ≤ -7

If the scale factor is 4, what do you do with that scale factor to find the new perimeter and new area of the dilated figure?

Answers

Answer:

4/4=1

Step-by-step explanation:

10 points

slope of (-2,-4) and (6,7)
(explain)

Answers

Answer:

11/-8

Step-by-step explanation:

-2-6=-8

-4-7=11

then flip

Nila bought a "buy-one-take-one" bag. She paid Php 1, 256. How much did each bag cost

Answers

Answer: Php 628

Step-by-step explanation:

Nina got two bags but paid for the price of one according to the sale.

The cost of each bag will therefore be the total price divided by 2 which is;

= 1,256/2

= Php 628

If PQ + RS = PS and RS = XY, then PQ + XY = PS.

a. Symmetric Property
b.Segment Addition Postulate
c.Substitution Property
d. Transitive Property

Answers

Answer:

B. Substitution Property

Step-by-step explanation:

Transitive property would be TX=GH and GH=PS then TX+PS

The substitution property of equality is one of many equality properties used to simplify expressions and solve equations.

If PQ + RS = PS and RS = XY, then PQ + XY = PS is an expression using substitution property.

What is substitution property?

The substitution property states that 'If a variable x is equal to another variable y, then x can be substituted in place of y in any expression and y can be substituted in place of x in any expression.

We have,

If PQ + RS = PS and RS = XY, then PQ + XY = PS.

We are substituting RS with XY on PQ + RS = PS.

We get,

PQ + XY = PS

This expression has been solved using the substitution property.

Thus, If PQ + RS = PS and RS = XY, then PQ + XY = PS is an expression using substitution property.

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what's the y intercept of y=3x+2

Answers

Answer:

2

Step-by-step explanation:

insert 0 for x

A small town has two local high schools. High School A currently has 850 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 60 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine after how many years, t,t, the number of students in both high schools would be the same.

Answers

An equation for each situation, in terms of t, is y = 850e^35t and

y = 700e^70t

The required equation will be in the form y = Ae^kt

where:

k is the growth constantA represents the number of students in High School A in t years.B represents the number of students in High School B after t years.

If High School A currently has 850 students and is projected to grow by 35 students each year, hence;

A = 850k = 35 (growth factor)

Substituting into the formula, we will have:

y = 850e^35t

If High School B currently has 700 students and is projected to grow by 60 students each year, hence;

A = 700k = 60 (growth factor)

Substituting into the formula, we will have:

y = 700e^70t

An equation for each situation, in terms of t, is y = 850e^35t and

y = 700e^70t

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Find h, k and a, then write an equation for the following transformed function.

Answers

Answer:

On the graph h, k, and a are not labeled so do not find a way to find them

Step-by-step explanation:

give me brainliest

discriminant of 3x^2-2x=0

Answers

Answer:4

Step-by-step explanation:

discriminant = b^2-4ac

a = 3, b = -2, c = 0

(-2)^2-4(3)(0) = 4 - 0 = 4

4 is final answer

Graph each pair of linear equation in one coordinate plane.

Graph po pls

Answers

The pair of linear equations graphed using a graphing software. The graphs are attached below :

Graph 1 :

x = 2x + 2 - - - - (1)

2y = 4x + 4 ;

Divide both sides by 2

y = 2x + 2 - - - - - (2)

Hence, the graph would be follow the same trends as the functions are the same.

Graph 2 :

y = x - 5 - - - - - - (1)

y = - x + 3 - - - - - (2)

The pair of lines intersect each other as seen on the graph.

Graph 3 :

y = 2x - 3 - - - - (1)

y = 2x + 4 - - - - (2)

Both Lines are parallel to one another.

The attached graphs are in the attachment below.

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