You deposit 500 in a savings account that earns 9% annual interest compounded monthly. Enter a function that represents the balance y (in dollars) after t years

Answers

Answer 1

Answer: y = 500 * ( 1 + 0.75%) ^ (t * 12)

Step-by-step explanation:

Formula for calculating the amount of money in an account as a result of compound interest is:

Balance = Amount * ( 1 + rate) ^ no. of periods

This interest is compounded monthly so has to be converted to a monthly rate:

= 9% / 12

= 0.75%

t is in years so has to be converted as well to months:

= t * 12 months

Function is therefore:

y = 500 * ( 1 + 0.75%) ^ (t * 12)


Related Questions

PLEASE HELP!!!

The diagram shows two parallel lines inter-
sected by a transversal. Tell whether each sen-
tences is True or False.

Answers

Answer:

1) True

2) True

3) True

4) True

5) False

Step-by-step explanation:

Hope this helped!

What is the equation of the line with slope -4 through the point (-2,5).

Answers

Answer:

y=−4x−3.

Step-by-step explanation:

Answer:

The slope of the line is m=−4.

The equation of the line in the slope-intercept form is y=−4x−3.

The equation of the line in the point-slope form is y−5=−4(x+2).

The general equation of the line is 4x+y+3=0.

hope that helps

does anyone wanna help a gal out with this 6th grade work due today

Answers

Answer:

2 - 30ft²

3 - 57yd²

Step-by-step explanation:

Hey There!

The first step in solving this problem is finding the formula for area of a trapezoid

[tex]A = \frac{a+b}{2} h[/tex]

a = base 1

b = base 2

h = height

For the first one the dimensions are

a = 6

b = 9

h = 4

now we just plug in the values

[tex]A=\frac{6+9}{2} 4\\6+9=15\\\frac{15}{2}=7.5\\7.5*4=30[/tex]

so the area of the first trapezoid is 30 ft²

For the second one the given dimensions are

a = 8

b = 11

h = 6

now we just plug in the values

[tex]A=\frac{8+11}{2} 6\\8+11=19\\\frac{19}{2} =9.5\\9.5*6=57[/tex]

so the area of the second trapezoid is 57 yd²

Question is in the picture, will give brainliest

Answers

Answer:

Last option (bottom right)

Step-by-step explanation:

The scientific notation for 0.002 is [tex]2*10^-3[/tex] (you move the decimal 3 to the right to get 2)

multiply the number of mustard seeds with this and you get 80. In scientific notation it is [tex]8*10^1[/tex] (move the decimal 1 to the left to get 8.0)

The radius of a circle measures 5 milometers . What is the circumference of the circle? Use 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

circumference = 31.4 milometers

Step-by-step explanation:

circumference = 5(2)(π)

circumference = 31.4 milometers

How would you do this maths question?

Answers

Answer:

Step-by-step explanation:

First you take the 142+B=180

because those 2 are supplementary

B=38

and you see the 2 lines on the 2 sides that means those two sides are equal to each other and the angles corresponding with them are also equal to each other.  

and a triangle=  180 degrees

A and E are the same so A=E

180-B(38)= 142

and because A=E you do 142/2= 71

and now that you have A and E you don't need A or B for the last part so

E+(x)=180 because those two angles are supplementary.

and E is 71 so...

71+(x)=180  ---------180-71=x

X=109

The circumference of a circle is 24π in. What is the area, in square inches? Express your answer in terms of \piπ.

Answers

Answer:

45.84

Step-by-step explanation:

hope that helps

The area of the circle is equal to 144π square inches.

What is the area of the circle?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that the circumference of a circle is 24π in. The area of the circle is calculated by the formula given below,

Area of circle = πr²

Circumference of the circle = 24π

2πr = 24π

r = 12

The area of the circle will be calculated as:-

Area = πr²

Area = π x ( 12 )²

Area = 144π square inches.

Hence, the area is 144π square inches.

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PLS HELP ME I WILL GIVE YOU BRAINLIEST!

Answers

If I’m not wrong it’s 4) 69.08 m

Answer:

The answer is 4) 69.08 m

Step-by-step explanation:

Rhonda has an extra credit project to make a rectangular prism with the volume of at least 24 in3 . If the area of her base is 6 in2, which inequality would represent all the possible heights, h, of her prism in order to meet her teacher’s requirements?

A h ≥ 4

B. h ≥ 8

C h ≤ 4

D. h ≤ 8

Answers

The answer would be c

Answer:

c

Step-by-step explanation:

I need help and show work​

Answers

-4+(-3)
=-7

since it’s two negatives , you’re just adding them

Drag numbers to show which one is closer to -1 and -1/4 on the number line

Answers

Answer:

-0.82 is closest to -1, and -0.28 is closest to -1/4

Step-by-step explanation:

you can start by converting all of them to a fraction or decimal:

-0.28 = -28/100 = -7/25 = -14/50

-0.82 = -82/100 = -41/50

-1/5 = -10/50

-4/5 = -40/50

-1 = -50/50

-1/4 = -12.5/50

what are common prime factor of 77 and 242?​

Answers

Answer:

2 times 11 times 3511

Step-by-step explanation:

i kinda dont know what your asking but i tried

The common prime factor of the numbers  77 and 242? will be 11.

What is a prime factor?

A number can be expressed as the product of its prime factors through the process of prime factorization. A number with exactly two factors, 1 and the number itself, is said to be a prime number. As an illustration, let's use the number 30. Even though we are aware that 30 = 5 6 is not a prime number,

Given that the numbers are 77 and 242. The prime factor of the numbers is calculated as,

77 / 11 = 7

242 / 11 = 22

Hence, the number 11 is completely dividing both the numbers 77 and 242 so the prime factor of the numbers is 11.

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Maria sells painting in a art gallery. She earns $375 each week plus a commission of 2.5% of her swelled. What is the minimum amount of sales she must have this week to earn at lease $500.

Answers

Answer:

5000.00

Step-by Step

500.00-375.00 = 125.00

5000 x 2.5% = 125.00

375.00 + 125.00 = 500.00

The measure of H=90°, the measure of G=80° and FG=75 feet. Find the length of HF to the nearest tenth of a foot

Answers

Answer:

The length of HF is 73.9 feet.

Step-by-step explanation:

Let the length of HF be represented by x. So that applying the appropriate trigonometric function to the triangle FGH, we have;

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

Where θ is the angle given in the triangle = [tex]80^{o}[/tex].

Then,

Sin 80 = [tex]\frac{x}{75}[/tex]

⇒ x = Sin 80 x 75

      = 0.9848 x 75

      = 73.86

x = 73.9

Thus, the length of HF is 73.9 feet.

Fred has a garden. He has 10 aucumber plants. This is 5% of all the plants in his garden. How many plants dons Fred have in his garden?​

Answers

The answer is 200 plants in Fred’s garden.

solve the quadratic y = −x^2 + 4x + 1 with steps plz!

Answers

Answer:

x = -0.24 or 3.73

Step-by-step explanation:

[tex]\frac{-b + \sqrt{b^{2} -4ac } }{2a}[/tex] (There's supposed to be a ± between '-b' and the square root)

[tex]x^{2}[/tex] + 4x + 1 ( [tex]ax^{2} + bx + c[/tex] )

a = -1 ( there's no number before [tex]x^{2}[/tex] so its 1 )

b = 4

c = 1

Substitute into the quadratic equation.

[tex]\frac{-4 + \sqrt{4^{2} -4x1x-1 } }{2x-1}[/tex] ( the [tex]x[/tex] is just the multiplication sign )

=  [tex]\frac{-4 + \sqrt{{16} +4 } }{-2}[/tex]

[tex]\frac{-4 + \sqrt{{20} } }{-2}[/tex] = -0.24    [OR]     [tex]\frac{-4 - \sqrt{{20} } }{-2}[/tex] = 3.73

( The answers are to 2 decimal places )

Plot the following points on the graph paper:
i) A (- 2, -3) ii) B (1, 3) iii) C (- 5, 2) iv) D (4, - 4)

Answers

Answer:

check the screenshot I attached:

Identifying and Solving Proportions
PLS ANY HELP!! thank you to whoever helps with question 6 <3

Answers

Answer:

Inez ran the mile in 5 minutes and 20 seconds

Great had the fastest time.

Her mile was faster by 20 seconds.

Step-by-step explanation:

Write an essay about your learning on how you solve problems involving integers. (5 points). Take a photo of your answer. (To the Online Teacher please provide a link for submission of output).

Answers

Answer:

to use integers for certain problems and equation on math, i can also use it for future use in life in case i need it, Its very helpful to learn since it isnt that complicated nor hard, its just a good skill to keep in mind as a student.

WILL GIVE BRAINLIEST!!! (look at photo if confused)

Match each pair of equivalent expressions on the left with the appropriate property on the right.

3(x multiplied 4) = (3x) x 4

4(x + 5) = 4x + 20

2 + 7x = 7x + 2

Properties

A. Commutative property
B. Associative property
C. Distributive property

Answers

Answer:

4(x + 5) = 4x + 20 is C

2 + 7x = 7x + 2 is A

3(x multiplied 4) = (3x) x 4 is B

Step-by-step explanation:

Answer:

give other person brainliest!!! this is his alt

Step-by-step explanation:

Kennedy is building a new L-shaped desk for her room. She wants to make
sure it is large enough to hold all her supplies. The dimensions of the desk, in
feet, are shown in the diagram. What is the area of the desk?
5 ft
4 ft
8 ft
3 ft
4 ft
2 ft
A. 40 square feet
B. 36 square feet
C. 28 square feet
D. 23 square feet

Answers

Answer:

A i hope its right

Step-by-step explanation:

What property of operations can be used to justify that the two expressions in this equation are equivalent? 6x^2 +4x=4x + 6x^2

Answers

Answer:

Commutative

Step-by-step explanation:

There are four basic property of operations to solve an algebraic expressions. They are associative, commutative, distributive and identity.

The expression given is : [tex]$6x^2 + 4x=4x+6x^2$[/tex]

So the given algebraic expression is a commutative property of operations. The commutative property states that when any two numbers are added in an expression the sum of the numbers are the same regardless of the order of the numbers that are added.

Thus the sum of the above expression will be same in which ever order the numbers are added.

Jamie is not sure exactly what career to pursue but when she learned about the Human Services cluster, something spoke to her. Which types of career pathways are available to Jamie? Pick a career from each path and explain what it involves and where she might work if she had that job.

Answers

The careers in the human services cluster include:

Agriculture, and Natural Resources.Architecture and Construction. Communications.Business, Management, and Administration.Education and Training

How to illustrate the information?

Human needs are met through activities such as counseling and mental health services, family and community services, personal care, and consumer services in the Human Services career cluster.

Career clusters are groups of jobs that are similar in nature. They make it simple to investigate many types of occupations under a single broad category. Begin by learning about one of the clusters, such as health care or construction, to understand about what it entails, current trends, and the various careers it offers.

Learn more about human services on:

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Lucy earned $24 for tutoring 2 students for 1 hour each. How much can she earn for tutoring 15 students for 1 hour each?

Answers

Answer:

Step-by-step explanation:

15(24/2)=$180

I need to know these as well- Ive been staring at my screen and I cant figure them out-

Answers

1. B and D
2. No Solutions ( I think)
3. (4, -1)

Solve the question.
Q – 26 = –53

Answers

Answer:

Q=-27

Step-by-step explanation:

From question,

Q - 26 = -53
Q = -53+26
Therefore Q = 27 ans

Hope this helps you!

Please mark it as the brainliest <3

Find the value of each variable. If your answer is not an integer, write it in simplest radical form with the denominator
rationalized
y=
and z=

Answers

Answer:

7

Step-by-step explanation:

First you have to fined the unit rate

1,500/25= 60

Now your gonna do

300x60= 18,00

write an equation of the line that passes through the given points (-6,3) (0,4)

Answers

Answer:

y=1/6x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-3)/(0-(-6))

m=1/(0+6)

m=1/6

y-y1=m(x-x1)

y-3=1/6(x-(-6)(

y-3=1/6(x+6)

y=1/6x+6/6+3

y=1/6x+1+3

y=1/6x+4

HELP DUE IN 5 MINS!

x=??

y=??

Answers

Answer:

x = 55

y = 45

Step-by-step explanation:

In similar triangles, the ratio between similar sides are the same. So,

AB/ED = BC/EF = AC/DF

Substitute values that they give

6/15 = 18/y = 22/x

Solve 6/15 = 18/y by cross-multiplying

6y = 15*18 = 324

Divide both sides by 6

y= 45

Solve 6/15 = 22/x by cross-multiplying.

6x = 22*15 = 330

Divide both sides by 6.

x = 55

Because there is some dispute between the answers, let's check the ratios.

6/15 = 18/45 = 22/55

0.4 = 0.4 = 0.4

True, x = 55 and y=45

since triangle abc~ def

their sides will be proportional

AB/de=ac/df

6/15=22/x

doing crisscrossed multiplication

6x=22×15

x=22×15/6=55

again

AB/de=BC/EF

6/15=18/y

doing crisscrossed multiplication

6y=15×18

y=15×18/6=15×3=45

Use a vertical shift to graph the function. y=2sin(1/2)x+3

Answers

the correct answer is 94
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