$2000 is invested at a rate of 4.2% compounded annually. Identify the compound interest function to model the situation. Then find the balance after 7 years. A = 2000(1.042)^t; $2667.50 A = 2000(1.42)^4t; $2557.50 A = 2000(1.042)^t; $2337.50 A = 2000(14.2)^4t; $2447.50

Answers

Answer 1

Answer:

A = 2000(1.042)^t; $2667.50

Step-by-step explanation:

The formula or model for Compound Interest is given as:

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

Where:

A = Amount or Balance after t years

P = Principal or initial amount invested = $2000

r = Interest rate = 4.2% = 0.042

t = Time in years = 7 years

n = Compounding frequency = Annually = per year = 1

Hence, the compound interest function to model for the situation (Question) with time t above is:

A = 2000(1 + 0.042) ^1 ×t

A = 2000(1.042)^t

Therefore solving for the balance

A = 2000(1.042)^7

A = 2,667.50

A = $2667.50

Therefore, option a =

A = 2000(1.042)^t; $2667.50

is the correct option.


Related Questions

Find the point slope form for the line with slope 1/5 and paying through the point -8,-5find the point slope form for the line with slope 1/5 and paying through the point -8,-5

Answers

Y=1/5x- 17/5
Plug in numbers and solve

Tina has 10 packages of yarn to knit a scarf. She uses ⅓ package of yarn for each inch of length she adds to the scarf. If Tina uses all the yarn, how long will her scarf be?

Answers

Answer: 30

Step-by-step explanation:

From the question, we are informed that Tina has 10 packages of yarn to knit a scarf and that he uses ⅓ package of yarn for each inch of length she adds to the scarf.

Since she used all the yarn, the length of the cloth would be:

= 10 ÷ 1/3

= 10 × 3

= 30 inch

how can you round 0.234 to the nearest hundredth?

Answers

Answer:

0.23 or 0.230

Step-by-step explanation:

You can round it by looking at the hundredths place.

Look to the thousandths place, if its 5 or more, you round up, if its 4 or less you round down.

Answer:

the way that you do this is

Step-by-step explanation:

so the number goes from 0 as in the whole number and then the decimal indicates that the whole number getting separated by a whole bunch of other numbers which go by smaller factors they go from ten hundred thousand and so forth so for this equation you have 0.234 the hundreds is the three the reason why is because the two is the tenths and the four is the thousands the reason why it's the thousands is because there's four numbers in the entire number.  so that number (0.234) would be 0.23 rounded to the nearest hundreth because the 4 is less than 5 which makes the number go lower.    If it was 0.238 then the answer would now be 0.24 because it's higher then 5.  please give me brainliest.  

a rectangular prism is 12cm long 6cm wide and 5 cm high what is the volume of the regtangular prism

Answers

Answer:you do length times width times height to get your answer.

Step-by-step explanation: do 12 x 6 x 5 to equal 360

[tex]4.2 = \frac{c}{8}[/tex]

Answers

Answer:

Step-by-step explanation:

Multiply both sides by 8

4.2 * 8 = 8* c/8       The eights cancel on the right.

c = 33.6

Show how to simplify this problem using the distributive property.
4(12 + 6)

Answers

Hey there!

4(12 + 6)

4(12) + 4(6)

4(12) = 48

4(6) = 24

48 + 24 = ?

48 + 24 = 72

Answer: 72 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer is 72.

(4*12)(4*6)

48+24=72

if x is 18 when y is 6 find y when x is 21

Answers

Answer:

y = 7, when x = 21

Step-by-step explanation:

Since 6 is 1/3 of 18 we could use that to find y

1/3 x 21 = 7

Chrystelle's mother is 1 2/3ft taller than Chrystelle. If
Chrystelle is 3 1/2 ft tall, how tall is her mother?

Answers

Answer:

4 5/6 feet.

Step-by-step explanation:

The least common multiple for 2 and 3 is 6, so if we change the denominators to 6, we get Chrystelle's height as 3 3/6, and her mother is 1 4/6 ft taller than her.

3 3/6 + 1 4/6= ?

(Written as an Improper fraction)

21/6 + 10/6 = 31/6

31/6 = 4 5/6.

I hope this helps!

Answer:

first make it so the denominator is the same on bothers sides. a common denominator for both is 6 so

Chrystelle mom: 1 2/3 taller. multiply the fraction by 2/2 so 1 4/6

chrystelle: 3 1/2 feet tall. multiply the fraction by 3/3 so 3 3/6

now just add to figure out so

3 3/6 + 1 4/6 = 4 7/6 which simplifies down to 5 1/6

so chrystelles mom is 5 1/6 feet tall

QUICK WRITE A SHORT FICTION SOTRY 10 SENTENCES LONG IT CAN BE ABOUT ANYTHING

Answers

Answer:

One day Bob asked him mom if she could buy him a Ps5. She replied "No Bob, if you really want it you have to buy it yourself. And don't you already have that PlayStation 2 your grandma gave you?" After Bob heard that he ran out of the house to go find a job. He ran up to Mc Donald's and saw that they don't hire 15 year old's. Sadly he walked away. Then he ran up to Burger King they don't hire 15 year old's either. Then h realized he could deliver newspaper on his bike. So he went home told his mom and she was happy when he told her his idea.  The next morning he set out to his new job. As he got there he realized he didn't eat breakfast but that was fine he wasn't hungry he was to happy to think about anything else but that new Ps5. He got the newspapers and started going. After he delivered 27 newspapers it started getting dark so he went home. The next day went just like the first but he actually ate breakfast. Weeks went by throwing newspapers cycling, throwing newspapers cycling, throwing newspapers cycling. After 3 months he got his paycheck, just enough for the Ps5! Happily he went to the bank cashed it out and biked to target. He parked his bike ran into target into the electronics aisle scanning for the new Ps5.  Then the worker asked him politely "What are you looking for?" "A Ps5." He responded quickly. "Oh.." The worker said "Were sold out..."

Step-by-step explanation:

     May I have brainiest pls I'm trying to level up!

                               </3 PureBeauty

What is the probability that you flip a penny 4 times and it lands on tails all four times in a row?
Group of answer choices

1/8


1/16


1/4


1/2


Answers

Answer: 1/8

Step-by-step explanation:

Since flipping a coin once and it landing on tails is 1/2, multiply it by however many times you flip it, and that will be you're answer.

Laura tiene una tarifa de telefono en la que paga solo por el tiempo que dura cada llamada .Si un minuto cuesta o,16€ ysu ultima llamada duro 3,15 min ¿cuanto tendra que pagar?

Answers

Answer:

50,4 €

Step-by-step explanation:

De la pregunta anterior,

1 minuto = 16 €

3,15 minutos = x

Cruz multiplicar

x × 1 minuto = 16 € × 3,15 minutos

x = € 16 × 3,5 minutos / 1 minuto

x = 50,4 €

Por tanto, por una llamada de 3,15 minutos, Laura tendrá que pagar 50,4 €.

I have a square with a side of 5.25 in. There is a circle inside this square that is big enough to touch all four sides. What is the area that is not inside the circle?

Answers

Answer:

5.9125in^2

Step-by-step explanation:

Step one:

Given data

Dimension of square= 5.25 in

Area of sqaure= 5.25^2= 27.5625  in^2

We are told that the sides of the circle touch the sides of the square

hence the diameter of the circle is 5.25in

radius= 5.25/2= 2.625 in

Area of  circle= πr^2

Area of circle = 3.142*2.625^2

Area of circle=3.142*6.890625

Area of circle= 21.65 in^2

Step two:

The area that is not inside the circle

=Area of square-Area of circle

=27.5625- 21.65

=5.9125in^2

Plssssssssss help????????

Answers

Step-by-step explanation: Since the equation of this line is written in

slope-intercept or y = mx + b form, its slope or m is represented by the

coefficient of the x term which in this case is 8/5.

It's y-intercept or b is represented by

the constant term which in this is -5.

To graph the line, start with the y-intercept of -5.

So go down 3 units on the y-axis, plot a point at (0, -3).

From there, take your slope of 8/5, so rise 8 units

and run 5 units the right which should leave you at (5, 3).

Graph the line through those points.

Angel just accepted a job at a new company where he will make an annual salary of $58000. Angel was told that for each year he stays with the company, he will be given a salary raise of $1500. How much would Angel make as a salary after 10 years working for the company? What would be his salary after tt years?

Answers

73,000$ annual salary after 10 years.

Answer:

Salary after 10 years: 73000

Salary after t years: 1500t+58000

Step-by-step explanation:

I’m not sure if it’s 1 but I know it’s not 3 and if you answer please Give an explanation!

Answers

Answer:

1

Step-by-step explanation:

if you substitute 1 in for x, you would see that 5 = 5

hope this helps!

Solve using the elimination method.
2x-3y=7
4x-4y=4

Answers

Answer:

x=4, y=5

Step-by-step explanation:

You obtain an answer by subtracting the second equation from the first.

Step-by-step explanation:

2x-3y=7-----------(1)

multiply by 2 in first equation

4x-6y=14------------ (2)

4x-4y=4---------------(3)

then, subtracting eqn (3) from (1)

4x-6y=14

4x-4y=4

sin change - + -

_________

-2x=10

x=-5

putting value of x on eqn (3)

4x-4y=4

-20-4y=4

-4y=24

y=-6

In the graph of an inequality, the region to the right of a dashed vertical line
through the point
(-4,0) is shaded. What inequality does the graph represent?

Answers

Answer:

x is greater than -4

Step-by-step explanation:

Answer:

x > -4

Step-by-step explanation:

Select all that are equal to 5^3• 5^-7

Answers

What are the answer choices

Answer: its b and c

Step-by-step explanation:

If two lines are parallel, and one line has a slope of 3/2, what is the slope of the other line?

Answers

parallel lines have the same slope so it would be 3/2 for the other line as well.

Suppose M(3-1) is the midpoint and B has coordinates (1,4). What are the coordinates of A?​

Answers

M (7,9) is the answer

What’s the measure of <7

Answers

It’s 115 degrees.


Hope that helps

write the equation of the line passing through points (2,-2) and (1,0) in the slope intercept form​

Answers

Answer:

y=-2x+2

Step-by-step explanation:

Just follow the slope-intercept form formula-

Formula: y=mx+b

Key:

y = y-coordinate

m = slope

x = x-coordinate

b = y-intercept

Let me know if you have any questions, hope this helps! (:

1 2 ÷ 3 2 1 ​ ÷3 need help lol

Answers

Answer:

0.012461059

Step-by-step explanation:

Answer:

g00gle says 0.01246105919

Step-by-step explanation:

3 (m+6) +7 (m-2)


7(6x + 5) - 8


4(3x + 5) - 13


Answers

Answer:SAME SIGNS 1. Add.

2. Sum is positive if both are positive; negative if both are negative.

  5 + 8 = 13 –5 + (–8) = –13

 DIFFERENT SIGNS

1. Subtract the absolute values.

2. Answer is sign of the integer with the greater absolute value.

   5 + (–8) = –3 –5 + 8 = 3

Find each sum. 1. –4 + (–8)

–12

4. –16 + 11 –5

7. –49 + (–32)

–49 –81 –32 –81

2. 14 + 16 30

5. 28 +(–42) –14

8. 23 + (–23) 0

3. –43 + (–12) –55

6. 75 + (–5) 70

9. 86 + (–18)

86 68–18 68

       

Integers

Multiplying & Dividing

  RULE

EXAMPLES

 1. Multiply or divide.

2. The answer is positive if the signs are the same (both positive or both negative); negative if the signs are different (one positive and one negative).

  –5 x(–8) = 40 40  4 = 10

 16 x(–3) = –48 –20  10 = –2

Find each product or quotient.

1. –3 x (–8) 24

4. 0 x (–121)

0 5 –13

2. –5 x (–5) 25

3. –15 x 3 –45

  5. –35 (–7)

6. –65  5

  7. 240  (–4) 8. 36  12 9. (–49  7) x 8 –7 x 8

 –60 3

–56

Step-by-step explanation:

MARKING BRAINLIEST!!!!

Answers

Answer:

12

Step-by-step explanation

Graph the solutions of the linear inequality 3x + 3y > 6 .

Answers

Answer:

y  >  2  −  x

Step-by-step explanation:

Trigonometric identities assignment 4

Simplify 5 sin ø sec ø

A. 5 cot ø
B. 5
C. 5 cos ø
D. 5 tan ø

Answers

Answer:

Answer: choice D.

Step-by-step explanation:

Trigonometric Functions

We need to recall some properties and definitions of the trigonometric functions.

[tex]\displaystyle \tan \theta=\frac{\sin\theta}{\cos\theta}[/tex]

[tex]\displaystyle \sec \theta=\frac{1}{\cos\theta}[/tex]

We need to simplify the following expression:

[tex]5\sin\theta\sec\theta[/tex]

Substituting the identity for the secant:

[tex]\displaystyle 5\sin\theta\sec\theta=5\sin\theta.\frac{1}{\cos\theta}[/tex]

Operating:

[tex]\displaystyle 5\sin\theta\sec\theta=5\frac{\sin\theta}{\cos\theta}[/tex]

Substituting the definition of the tangent:

[tex]\displaystyle 5\sin\theta\sec\theta=5\tan\theta[/tex]

Correct choice D.

Order from least to greatest 7.003, 7.00301, 7.00294, 7.00289 →

Answers

Answer:

7.003 7.00289 7.00294 and 7.00301 I think this is correct good luck so sorry if it is not

Step-by-step explanation:

Find the slope of the line that passes through (9,4) and (4,11)

Answers

-7/5

hope this helps

Please answer number 14
I already tried but don’t understand

Answers

Answer:[tex] < abc = < ebc \\ < acb = < ecd \\ if \: two \: angles \: in \: the \:two \: different \: triangles \: are \: equal \: then \: the \: third \: angle \: in \: the \: triangle\: must \: be \: equal. \\ using \: pythogres \: theorum \\ ab = \sqrt( ac ^{2} - bc^{2} )\\ = \sqrt (15 ^{2} - 12 ^{2}) \\ = \sqrt( 225 - 144 )\\ = \sqrt(81) \\ ab = 9 \\ sides \: of \: similar \: triangle \: are \: propotional \\ ac \div ec = dc \div bc \\ 15 \div x = 12 \div 6\\ x = 15 \times 6\div 12\\ x = 15 \div 2 \\ x = 7.5 \\ so \: ec \: = 7.5 \\ you \: can \: check \: this \: by \: applying \: pythogores \: theorum. \\ i \: hope \: this \: helps[/tex]

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