Write a compound interest function to model each situation. Then find the balance after the given number of years.

$50,000 invested at a rate of 3% compounded monthly; 6 years

$43,000 invested at a rate of 5% compounded annually; 3 years

$65,000 invested at a rate of 6% compounded quarterly; 12 years​

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

The standard compound interest formula is [tex]A = P(1+\frac{r}{n})^{nt}[/tex] where:

P is the principal amount

r is the interest rate (typically as a percentage)

t is the time

n is the times compounded per unit of time

So,

1)  [tex]A = 50000(1+\frac{0.03}{12})^{(12)(6)} =59847.42[/tex]

2) [tex]A = 43000(1+\frac{0.05}{1})^{(1)(3)} =49777.88[/tex]

3) [tex]A = 65000(1+\frac{0.06}{4})^{(4)(12)} =132826.08[/tex]

You should check my answers though, I may have mixed up some terms.


Related Questions

For the line above, what is the slope? *

Answers

Answer: The slope is 2.

Step-by-step explanation:

To get the slope, use this tip: Rise over run

Count how much it rises, which is 4, and how much it "runs' which is 2. Now put rise above run which is 4/2. This simplifies to simply 2.

Answer:

The slope is 2.

Step-by-step explanation:

The points on the line are (1, -2) which can be labeled as x1 and y1, and the other is (3,2) which can be labeled as x2 and y2. you set up the equation in the slope formula, so 2 - - 2 / 3 - 1. Since there are two negatives, the subtraction signs turn into addition signs, and you get 4/2, which simplyfied is 2. Hope this helps :)

Graph the inequality x 2.

Answers

Answer:

2 CLOSED CIRCLE--------->

Step-by-step explanation:

closed circle on two and go the right

Answer:

--|--|--*--|--|--|--|--|--|--|--|

 0 1 2 3 4 5 6 7 8 9 10

Step-by-step explanation:

you would put a closed dot on 2 and make a line going right

8TH GRADE MATH HELP PLEASE

Answers

Answer:

55 is the answer hope it helps...

Hey there! The answer is 55!
To get this answer, you just need to subtract 125 from 180, which would look like 180-125, which would get you an answer of 55.

Hope this helped! Have a great day! :)

Solve the simultaneous equations
5x + 3y = 41
2x + 3y = 20
Do not use trial and improvement

Answers

5x + 3y = 41
2x + 3y = 20
Solve 3y
-> 3y = 41 - 5x
Substitute
2x + 41 - 5x = 20
-3x = 20 - 41
= -21
x= 7
Substitute
2x + 3y = 14 + 3y = 20
3y = 6
y = 2
=> x=7, y=2

The solution to the system of equation is (7, 2)

Using the simultaneous equation:

5x + 3y = 41

2x + 3y = 20

using elimination method

Subtract equation 1 from 2 to have:

5x - 2x = 41 - 20

3x = 21

x = 21/3

x = 7

Substitute x = 7 into equation 1 to get y

5x + 3y = 41

5(7) + 3y = 41

35 + 3y = 41

5y = 41 - 35

3y = 6

y = 6/3

y = 2

Hence the solution to the system of equation is (7, 2)

Learn more here: https://brainly.com/question/15165519

The inverse of f(x) = x2 – 3 is
f-() = x2 +3
:: - (2) = V2 + 3
:: f-(x) = V2 - 3
:: f-1 (2) = 1 - 3

Answers

Answer:

f ⁻¹(x) = [tex]\sqrt{x + 3}[/tex]

Step-by-step explanation:

Find the inverse of f(x) = x² - 3

Substitute x with y and f(x) with x and solve for y:

x = y² - 3y² = x + 3[tex]\sqrt{y^2}[/tex] = [tex]\sqrt{x + 3}[/tex]y = [tex]\sqrt{x + 3}[/tex]

Replace y with f⁻¹(x):

f ⁻¹(x) = [tex]\sqrt{x + 3}[/tex]

Step-by-step explanation:

i guess maths is the hardest subject


[tex] \frac{5}{7} \times 6[/tex]
what is 5/7 x 6 ​

Answers

Answer:

[tex]\frac{30}{7}[/tex]

Step-by-step explanation:

to multiply a number by a fraction, just multiply straight across

you just do 5 * 6 to get 30 and since there isn't anything under the 6, you put an imaginary 1  to get you 7 so your answer will be 30/7

it’s like roughly 4.286 or 30/7

Two angles are supplements if their sum is 180 degrees. The measurement of
one angle is five more than six times its supplement. What is the measurement of
the smaller angle?

Answers

x represents (smaller) angle 1, y represents (larger) angle 2:

180 = x + y
y = 6x + 5

180 = x + y
180 = x + (6x + 5)
180 = 7x + 5
175 = 7x
25 = x

180 = 25 + y
155 = y

the smaller angle (x) is 25 degrees.

Which equation can be used to solve for the value
of x?

Answers

Answer:

the orange one

Step-by-step explanation:

the bottom angles are gonna be the same and a triangle is 180 degrees total so

A rectangular prism has a volume of 160 cubic centimeters and a height of 4 centimeters. What is the area of its base?

Answers

The area of the base is 40.

Helppppppppp pLeAsEeEe?

Answers

Answer:

The perimeter is 16 yards.

_

Step-by-step explanation:

♤You can solve using the pythagorean theorem.

♡We will be using the variable 'x' to represent the variable 'b' in the picture provided.

◇In the pythagorean theorem, a and b represents bases while the c represents the hypotenuse (diagonal).

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {x}^{2} + {12}^{2} = {20}^{2} \\ {x}^{2} + 144 = 400 \\ \frac{ \: \: \: \: \: - 144 = - 144}{ {x}^{2} = \sqrt{256} } \\ x = 16[/tex]

hsehegehehdhdhhdd help me please !

Answers

Answer:

second 4rm last .

..............mmm...

Please help! Ill mark brainliest if correct! help ASAP

Answers

Answer:

Its 1,020

Hope u get it right!!!

U got this!!!!!!!!!!

Step-by-step explanation:

The surface area would be 615 square centimeters.

need help with this please

Answers

Answer:

where is your question friend...

Can yall help me with math please and thank you

its due in like 10 mins

Answers

Answer:

For C i would say that it has a widely used floating-point system in which the numbers are expressed as products and it has an appropriate power.

Im new to this math so im trying to figure out a and b

A movie theater sell snacks to 30% of it's customer each day. On Saturday, 186 customers bought snacks. How many customers went to the theater on Saturday????

A. 242
B. 520
C. 558
D. 620

Answers

Answer:

620 or D

Step-by-step explanation:

Answer:

620/D I believe........

find the area of the largest circle help me out i will have points ​

Answers

Answer: 254.34 ^ 2

Step-by-step explanation:

To find the area of the circle use its formula

A = Pi * R^2                /  Area equals pie times radius squared

The two circles diameter combined is 18 meaning the radius is 9

So we plug 9 into the formula

A = 3.14 * 9^2

A = 3.14 * 81

A = 254.34 ^ 2

can somebody help me please.​

Answers

The Y intercept is (0,275) and the X intercept is (125,0). the intercepts should be the point of when the line hits the axis'

Which of the following is true?
A. The mean is the least
B. The median is the least
C. The mode is the least
D. The mean, median, and mode are equal

Answers

I think A but I’m not so sure I hope this helps

three couples go to the movies and sit together in a row of six seats. In how many ways can they arrange themselves if each couple sits together?

Answers

Answer:

6

Step-by-step explanation:

im just gonna name these couples by numbers 1 , 2 and 3 and each couple will take up 2 seats together.

1 2 3

3 2 1

2 3 1

1 3 2

2 1 3

3 1 2

Answer:

6 ways

Step-by-step explanation:

1= couple 1

2= couple 2

3=couple 3

1 2 3

1 3 2

2 1 3

2 3 1

3 2 1

3 1 2

HELPPPPPPPPPPPPPP FASTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Answers

out of 300 7th graders that use a computer 5-10 hours would be around 260 children. out of 360 seventh graders that use a computer 10 hours or less each week will be around 300

Which equation has the same solution as x2 + 4x – 13 = 5?

Answers

Answer:

x=4

Step-by-step explanation:

X = 4 hope this helps

Section A
[40 markah]
[40 marks]
Jawab semua soalan.
Answer all questions.
Harga bagi 1 kg buah manggis ialah RM(3x + 2). Sufri memperoleh RMx baki
bayaran setelah membayar 6 keping wang kertas RM10 untuk membeli x kg buah
manggis.
Hitung harga, dalam RM. bagi 1 kg buah manggis itu.
The price of 1 kg of mangosteen is RM(3x + 2). Sufri received the balance of purchase
of RMx after paying 6 pieces of RM10 notes for x kg of mangosteens.
Calculate the price, in RM, for 1 kg of mangosteen.
[4 markah]
[4 marks]
Jawapan/Answer:​

Answers

_______________________________

Number 7!3/5 of the children in a class are girls

Answers

Answer:

Total students = 40

Step-by-step explanation:

No: of girls = 3/5

No: of boys = 2/5

No: of boys = 16

2/5 of x = 16

x = 16 x 5/ 2 = 40

Total students = 40

I hope im right!!!

using suitable property find the product of 99 X 106​

Answers

Answer:

10494

Step-by-step explanation:

What value do we need to complete the equation?

Answers

Answer:

h/2

Step-by-step explanation:

pls help me with this multiple choice ! thank u

Answers

Answer:

The answer will be C x=14 and y=7

Step-by-step explanation:

Hope this HElped

how to calculate interest on a loan

Answers

Answer:

Gather information like your principal loan amount, interest rate and total number of months or years that you’ll be paying the loan.Calculate your total interest by using this formula: Principal Loan Amount x Interest Rate x Time (aka Number of Years in Term) = Interest.

If you take out a five-year loan for $20,000 and the interest rate on the loan is 5 percent, the simple interest formula works as follows:

$20,000 x .05 x 5 = $5,000 in interest

You might encounter simple interest on short-term loans. However, the way most banks and lenders charge interest is more complicated.

Step-by-step explanation:

25 is what percent of 125?

40 is 25% of what number?

What number is 60% of 200?

Find 16% of 25

50 is ______% of 500

30 is 40% of what?

What is 140% of 20?

600 is 300% of what?

45% of the class is girls. There are 90 girls in the class. How many students are in the class?

40% of the voters voted for Jimmy B. 80 million people voted. How many votes did he get?

300 middle schooler’s vote on their favorite sport. 60 of them like hockey. What percentage of the students like hockey?

Answers

Answer:

1. 20%

2. 160

3. 120

4. 4

5. 10%

6. 75

7. 28

8. 200

9. 200 students

10. 32,000,000 votes (32 million)

11. 20%

Step-by-step explanation:

No clue if you want actual work shown but you posed so many questions that it would take forever to type out all the work.

How much?Pls help me.

Answers

Answer:

19.8

Step-by-step explanation:

Answer:

$19.80

Step-by-step explanation:

56 text messages = 5.60

1 text message = 5.60 ÷ 56 = 0.1

198 text messages = 0.1 x 198 = 19.8

Find an equivalent ratio in simplest terms:
30 : 24

Answers

Answer:

5 : 4

Step-by-step explanation:

Given

30 : 24 ( divide both parts by 6 )

= 5 : 4 ← in simplest form

Answer:

5/4.

Step-by-step explanation:

1. Find the GCD (or HCF) of numerator and denominator. GCD of 30 and 24 is 6.

2. 30 ÷ 624 ÷ 6.

3. Reduced fraction: 54. Therefore, 30/24 simplified to lowest terms is 5/4.

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