1. Mark opened a bank account with $50 and
added $25 each month. Tony opened a bank
account the same day with $75 and added $20
each month. In how many months will they
have the same amount of money?

Answers

Answer 1

Answer:

5 months

Step-by-step explanation:

Tony starts with 25 more dollars than Mark. Every month he gets 5 dollars.

25/5 = 5 months.


Related Questions

Find the value of a, b, c,
and d.
76
to the document will
32
go to (1,1)
go to (-5, 1)
a a = 32, b = 26, C = 104, d = 90
b) a = 76, b = 52, c = 90, d = 90
c) a = 38, b = 52, c= 90, d = 90
d) a = 38, b = 52, c = 104, d = 90
e) a = 76, b = 26, C = 104, d = 180
go to (0, 2)
go to (7,0)
go to (-3,2)

Answers

Answer:

The answer is D

Step-by-step explanation:

1.Angle D is 90 becuase any angle inscribed in a semi circle is a right angle.

2.Since c and 76 form a semi-circle. They add up to 180 so c=104.

3.Angle A is a inscribed angle of arc 76. So that means angle A is half of the arc 76.

Angle A=38.

4. Angle B can be found two ways,

Using triangle interior theorem, since we know 90 and 38 as our given degree, a triangle has 180 degrees, so our third angle ,b will add up to 180 so it will be 52.Angle b is a inscribed angle of arc c so it is half of arc C or 104. Angle B=52

D is the answer

The volume of the rectangular pyramid is ___ cubic units.

Answers

Answer:

600 cubic units.

Step-by-step explanation:

The formula for a rectangular pyramid is[tex]V=\frac{lwh}{3}[/tex] or volume is equal to length x width x height divided by 3. The length is 15, the width is 10, and the height is 12. This equals to 1800, then we divide it by three for the answer.

Please answer these 4 questions for 40 points:
If your travel rate is 250 miles in 5 hours, how many miles can you travel in 10 hours?
Given your rate of 480 miles in 8 hours, what is your average speed or unit rate?
Given the unit rate of $4.00 per pound of chocolates, what is the cost of 15 pounds of chocolates?
What is the equivalent ratio for 3:6

Answers

Answer:

1)500

2)60

3)$60

4)this i don't know sorry

A large quantity of waste material contains metal. At the successive passes through a recovery
process the mass of the metal recovered is:
32kg at the first pass,
24kg at the second pass;
18kg at the third pass;
13,5kg at the fourth pass, and so on, to form a geometric sequence,
1. How much metal would be recovered at the eighth pass?
(Round off the answer to TWO decimal places)

Answers

Answer:

The amount of metal recovered at the eight pass is approximately 4.27 kg

Step-by-step explanation:

The mass of metal recovered formed the following geometric sequence;

32 kg, 24 kg, 18 kg, 13.5 kg

∴ The first term, a = 32 kg

The common ratio in the geometric sequence is found as follows;

r = a·r/a = 24 kg/(32 kg) = 0.75

r = a·r²/a·r = 18 kg/(24 kg) = 0.75

r = a·r³/a·r² = 13.5 kg/(18 kg) = 0.75

The mass of the metal recovered in the eight pass will be the 8th term of the geometric series given as follows;

nth term = a·rⁿ⁻¹

a = 32, r = 0.75, n = 8

∴ 8th term = 32·(0.75)⁸⁻¹ = 32·0.75⁷ = 2187/512 ≈ 4.27

The amount of metal recovered at the eight pass ≈ 4.27 kg.

The eight term of the geometric sequence is 4.27.

Geometric sequence

A geometric sequence is in the form:

aₙ = ar⁽ⁿ⁻¹⁾

where aₙ is the nth term, a is the first term and r is the common difference.

Given that a = 32, r = 24/32 = 0.75

The eight term is a₈ = 32(0.75)⁸⁻¹ = 4.27

The eight term of the geometric sequence is 4.27.

Find out more on Geometric sequence at: https://brainly.com/question/9300199

It takes 3 cleaners 4 hours to clean a room, how long would it take 4 people to clean the same room at the same rate? (Ratio)

Answers

Answer:

3 hours

Step-by-step explanation:

Let the number of cleaners be x

Let the time taken be y

This relationship is inverse

x = k/y

If x = 3 and y = 4

3 = k/4

k = 3*4

k = 12

To get the time it will take 4 people, we will substitute k = 12 and x = 4 into the expression x = k/y

x = 12/4

x = 3

Hence it will take 4 people 3 hours at the same rate

don’t answer if you don’t know

Answers

14m .. sorry so late

Lincoln invested $2,800 in an account paying an interest rate of 5\tfrac{3}{8}5
8
3

% compounded continuously. Lily invested $2,800 in an account paying an interest rate of 5\tfrac{7}{8}5
8
7

% compounded quarterly. After 15 years, how much more money would Lily have in her account than Lincoln, to the nearest dollar?

Answers

Answer: 445

Step-by-step explanation:

Lincoln’s Final Amount:

Compounded Continuously: A=Pe^rt

P= 2800

r= 0.05375

t=15

A=2800e^0.05375(15)

A=2800e^0.80625

A=6270.5833

Lily’s final amount:

Compounded quarterly:

A=P(1+r/n)^nt

P=2800

r=0.05875

t=15

n=4

A=2800(1+ 0.05875/4)^4(15)

A=2800(1.0146875)^60

A=6715.7829

How much more money does Lily have?

6715.7829-6270.5835

=445.1994

The money would Lily have in her account than Lincoln, to the nearest dollar 445.

We have to determine the compound interest Lincoln’s final amount

Compounded Continuously

A=Pe^rt

P= 2800

r=0.05375

t=15

A=2800e^0.05375(15)

A=2800e^0.80625A=6270.5833

What is the formula for compound interest?

A=P(1+r/n)^nt

P=2800

r=0.05875

t=15

n=4

A=2800(1+ 0.05875/4)^4(15)

A=2800(1.0146875)^60

A=6715.7829

=6715.7829-6270.5835

=445.1994

Therefore money would Lily have in her account than Lincoln, to the nearest dollar 445.

To learn more about the interest visit:

https://brainly.com/question/2151013#SPJ2

pls help me.i need help asap​

Answers

Answer:

Area of the shaded region = 51 cm²

Step-by-step explanation:

Area of the smaller pentagon ABKHG = 17 cm²

Since, B is the midpoint of side AC,

Scale factor used to enlarge the sides = [tex]\frac{\text{Measure of side AC}}{\text{Measure of side AB}}[/tex]

                                                                = [tex]\frac{AC}{\frac{AC}{2}}[/tex]

                                                                = 2

Therefore, area scale factor of both the pentagons = (Dimensional scale factor)²

2² = [tex]\frac{\text{Area of AFEDC}}{\text{Area of ABKHG}}[/tex]

4 = [tex]\frac{\text{Area of AFEDC}}{17}[/tex]

Area of bigger pentagon AFEDC = 4 × 17

= 68 cm²

Area of the shaded region = Area of the bigger pentagon - Area of the smaller pentagon

= 68 - 17

= 51 cm²

Can someone help? Will mark Brainliest

Answers

Answer: The answer is the 3rd one

Step-by-step explanation:

9514 1404 393

Answer:

  (d)  AE = (32√6)/3

Step-by-step explanation:

The side length ratios in a 30-60-90 triangle are 1 : √3 : 2. In a 45-45-90 triangle, they are 1 : 1 : √2.

So, we have the side length ratios ...

  CE : CD = 2 : √3

  BE : CE = √2 : 1

  AE : BE = 2 : √3

Then the ratio AE : CE is ...

  [tex]\dfrac{AE}{CD}=\dfrac{2}{\sqrt{3}}\cdot\dfrac{\sqrt{2}}{1}\cdot\dfrac{2}{\sqrt{3}}=\dfrac{4\sqrt{2}}{3}[/tex]

Multiplying by the length of CD, we have ...

  AE = (8√3)(4√2)/3

  AE = (32√6)/3 . . . . . matches the last choice

will mark the best awnser :)​

Answers

Answer:

15 square feet

Step-by-step explanation:

Which is parallel to the following y=2x+1
a. Y=2x +5
B. Y- =4 (x+1)
C, Y=(-⅓)x +4
D. Y= 3x +7

Answers

Answer:

a. y = 2x + 5

Step-by-step explanation:

f two lines are parallel to each other, they have the same slope.

The first line is y = 2x + 1. Its slope is 2.

A line parallel to this one will also have a slope of 2.

a. y = 2x + 5

This line also has a slope of 2. It is a possible choice.

b. y = 4(x + 1)

This line has a slope of 4. It will not be parallel.

c. y = (-1/3)x + 4

This line has a slope of -1/3. It will not be parallel.

d. y = 3x + 7

This line has a slope of 3. It will not be parallel.

Therefore, your answer is a. y = 2x + 5.

Hope this helps!

I NEED HELP WIT DIS ASSIGNMENT ASAP

Answers

Fourth and fifth one

100 points. Can someone help
If a set of parallel lines contains the two points, (-2, 3) and (8, -5). If the lines are rotated 180 degrees clockwise, what would the two coordinates be after the rotation? Show or explain your work.

Answers

The two coordinates after the rotation are (2,-3) and (-8,5)

How to determine the coordinates after rotation?

The points are given as:

(-2,3) and (8,-5)

The rule of 180 degrees clockwise rotation is:

(x,y) = (-x,-y)

This means that:

(2,-3) => (-2,3)

(-8,5) => (8,-5)

Hence, the two coordinates after the rotation are (2,-3) and (-8,5)

Read more about rotation at:

https://brainly.com/question/16691874

#SPJ6

Answer:

(2, -3) and (-8, 5)

Step-by-step explanation:

If a point is rotated 180° clockwise about the origin (0, 0) then:

(x, y) → (-x, -y)

Therefore,

(-2, 3) → (-(-2),-3) = (2, -3)

(8, -5) → (-8, -(-5)) = (-8, 5)

So the two coordinates after rotation would be (2, -3) and (-8, 5).

Find the time.
I = prt
Principal: $500
Rate: 5%
Interest earned: $25
Time: ?

Answers

Answer:

1 year

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

t = 25 / ( 500 × 0.05 ) = 1

t = 1 years

The time required to

accumulate simple interest of $ 25.00

from a principal of $ 500.00

at an interest rate of 5% per year

is 1 year.

Inez has $72 to buy video games each game costs $9 how many video games can Inez buy​

Answers

Answer:

8

Step-by-step explanation:

1 video game = 9

? = 72

72/9=8

Answer:

8

Step-by-step explanation:

Ap calculus need help please

Answers

Answer:

[tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = 11[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Calculus

Integrals

Definite Integrals

Integration Property [Multiplied Constant]:                                                                 [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                               [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^1_0 {f(x)} \, dx = 4[/tex]

[tex]\displaystyle \int\limits^1_0 {g(x)} \, dx = -3[/tex]

[tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx[/tex]

Step 2: Find

[Integral] Rewrite [Integration Property - Subtraction]:                                  [tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = \int\limits^1_0 {2f(x)} \, dx - \int\limits^1_0 {g(x)} \, dx[/tex][1st Integral] Rewrite [Integration Property - Multiplied Constant]:                [tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = 2\int\limits^1_0 {f(x)} \, dx - \int\limits^1_0 {g(x)} \, dx[/tex]Substitute in integral values:                                                                           [tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = 2(4) - (-3)[/tex]Multiply:                                                                                                              [tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = 8 - (-3)[/tex]Subtract:                                                                                                            [tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = 11[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Write an equation in point-slope form for the line that passes through (–2, 1) with a slope of 1/4

Answers

Answer:

5

Step-by-step explanation:

The point-slope equation of the line that passes through the point (2,1) and has the slope 5 , is y−1=5(x−2) . The generic equation for point-slope form is y−y1=m(x−x1) , where m is the slope and x1 and y1 are the given point.

Is 14 19 23 a right triangle

Answers

Answer:no

Step-by-step explanation: because it is an acute triangle

If Measure of angle a is 155°, what is Measure of angle c? Line l intersects line m to form 4 angles. Clockwise, from the top, the angles are: a, b, c, d. 25° 35° 155° 180°

Answers

Answer:

c. 155

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I took the test. Im sorry for the late response.

i need help due asap

Answers

Step-by-step explanation

the third one

Step-by-step explanation:

Let's solve for y.

8x−3y>11

Step 1: Add -8x to both sides.

8x−3y+−8x>11 −8x −3y>−8x+11

Step 2: Divide both sides by -3.

−3y/−3 > −8x+11/−3

y<8/3x−11/3

Answer:

y<8/3x−11/3

***PLEASE HURRY***
***WILL MARK BRAINLEST***
Find the y-intercept for the parabola defined by this equation: y = -x^2 - 2x + 3 separate the values with a comma​

Answers

Answer:

y-intercept is (0, 3)

Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y.

HELP PLEASE!!!!!!!!!!

Volunteers at Sam's school use same of the student council's savings for a special project. They buy 3 backpacks for $6 each and fill each backpack with paper and pens that cost $6. By how much did the students council's savings change because of this project?

Answers

6*3= 18
6*3=18
18+18= 36
Answer 36

ill mark brainlist plss help

Answers

Answer:

60%

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3/5 is the same as 6/10. All percentages are out of 100% so you have to change the denominater to 100. Do do that you just add a 0 to the numerator and demoninator. i.e. 60/100. which is translated to 60%.

Please help with this quick! Your answer will be appreciated or be given a thanks and a 5 star! If 2 people answer and yours make the most sense ill even try to give brainly! .o.

Answers

Answer:

B A B B

Step-by-step explanation:

A good trick for fractions is to take the top number and divide it by the bottom number. This gives you the number version of the fraction. For example in question 4. 5/4 is 1.25. And 10/8 is 1.25. therefore they have the same value. Also another good trick. If the top number is more than the bottom number we know it will be 1 something because their is more than the bottom number. So if we have for example question 3 we know that 4 thirds will be at least 1 something if we divide it. And if we look at 8 ninths we know it will be less than 1 something since I is less than nine. Therefore if divided they will have different numbers

Determine whether the relation is a function

can someone help me please? if you dont know it please dont write i dont know as an answer. thank you :)

Answers

This is Not a function
It’s is not a function

If x+3/3=y+2/2 then x/3 =

Answers

Answer:

= y/2

Step-by-step explanation:

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

x/3 + 1 = (y+2)/2

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

= (y+2-2)/2

= y/2

hope this helped(:

Of the 60 questions on a test, 24 are multiple choice. What
percent of the questions are multiple choice?

Answers

Answer:

40%

Step-by-step explanation:

60 X 40% =24

Answer:

40%

Step-by-step explanation:

How does Reflection work in real-life situations?

Answers

Answer:

reflection is defined as the change in the direction of a wavefront at the interface between two different media, bouncing the wavefront back into the original medium. A common example of reflection is reflected light from a mirror or a still pool of water, but reflection affects other types of waves beside light.

Step-by-step explanation:

Answer:

I think it's help uu

Step-by-step explanation:

if wrong then sry

What is the area of a circle with a radius of 1/2 inch?​

Answers

Answer:

you do 1/2(.5) times itself, times 3.14= 0.785

Step-by-step explanation:

Answer: B

Step-by-step explanation:

I did it.

An item is regularly priced at $83. It is now priced at a discount of 55% off the regular price.

Answers

Answer:

$45.65 total

Step-by-step explanation:

Answer:

45.65

Step-by-step explanation:

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