You invest $2,800 in an account that
pays an interest rate of 5.5%,
compounded continuously. Calculate the balance of your account after 12 years

Answers

Answer 1

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2800\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ t=years\dotfill &12 \end{cases} \\\\\\ A=2800e^{0.055\cdot 12}\implies A=2800e^{0.66}\implies A\approx 5417.42[/tex]


Related Questions

last question before I go. [tex]x^{2} -y[/tex] when [tex]x = 4, y = 2[/tex].

Answers

Hey there!

x^2 – y

= 4^2 – 2

= 4 * 4 - 2

= 16 - 2

= 14


Therefore, the answer should be: 14



Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

The sun came out and the temperature quickly rose 18 degrees. The a thunderstorm hits and the temperature drops 6 degrees. The sun comes back out the temperature raises 12 degrees. The temperature is now 94 degrees. What was the starting temperature?

Answers

Answer:

70

Step-by-step explanation:

Just do it backwards.

94 - 12 = 82.

82 + 6 = 88.

88 - 18 = 70.

Robert delivers papers every morning. On Sundays he has to deliver 65 papers and on each of the other days he only has to
deliver 38 papers. How many papers does Robert deliver each week?
A. 455
B. 331
C. 255
D. 293

Answers

Answer:

D. 293

Step-by-step explanation:

He delivers 38 papers each day of the week except sunday, so six days a week

38 x 6 = 228

228 + the 65 he delivers on sunday = 293 papers a week

Part B

Morgan said that the difference between the heaviest loaf of bread and the lightest loaf of bread is 1 1/2 ounces. Do you agree with Morgan? Explain


also this is worth 35 points pls help!!

Answers

Answer:

Morgan is incorrect because 24 1/2- 22 3/4=1 3/4

Step-by-step explanation:

24 ¹/²- 22 ³/⁴=1 ³/⁴

Full‐me Ph.D. students receive an average of $12,837 per year. If the
average salaries are normally distributed with a standard deviation of $1500, find these
probabilities.
a. A student makes more than $15,000.
b. A group of 36 students makes between $13,000 and $14,000.

Answers

Answer:

.0022

Step-by-step explanation:

PLS HELP ASAP WILL GIVE BRAINLIEST

Answers

It’s A because of the vertical angles being congruent

Answer:

C

Step-by-step explanation:

None of the others are vertical angles

a is supplementary angles

b is supplementary angles

d is alternate interior angles

Determine the equation of the circle graphed below.
10
8
6
4
2
-10 -B -6
8
-4
-2
-2
4
-6
-8
-10
2
4
10

Answers

Answer: (x +7)^2 +(y +6)^2 = 9

Step-by-step explanation:

The given circle appears to be centered at (-7, -6) and have a radius of 3. The standard form equation of a circle is ...

 (x -h)^2 +(y -k)^2 = r^2 . . . . . . circle of radius r centered at (h, k)

For (h, k) = (-7, -6) and r=3, your circle is ...

 (x -(-7))^2 +(y -(-6))^3 = 3^2

 (x +7)^2 +(y +6)^2 = 9

i hope this helps btw i did not copy n paste l got 100% on this


On a map, Luis's house is located at (-7, 6)
and Melvin's house is at (4,-5). What are the
coordinates for Raquel's home if she lives exactly
halfway between Luis and Melvin?

Answers

Step-by-step explanation:

There is no diagram how can we answer

help me plssssssssssssssssssssss

Answers

7/15 there u go hope it helped

If Jessica has money into savings accounts worry is 5% in the other is 10% if she has $950 more in the 10% account and the total interest is 281 how much invested is in each savings account

Answers

Answer:

5% account = $1,240

10% account = $2,190

Step-by-step explanation:

Let's assume the amount of savings in the 5% account is x.

Thus the amount of savings in the 10% account is (x + $950).

We can write the following equation from the interest amount:

[5% x ] + [10% (x + $950)] = $281

5%x + 10%x + $95 = S281

15%x = $186

x = $1,240

There is $1,240 in the 5% account

Therefore, on the 10% account there is $1,240 + $950 = $2,190

A snail crawls 83 cm due west and then
78 cm due north.
Work out the bearing of the snail from its
starting point.
Give your answer to the nearest degree.

Answers

Answer:

  313°

Step-by-step explanation:

The reference angle (α) can be found using the tangent relation:

  Tan = Opposite/Adjacent

__

In this problem, that means ...

  tan(α) = 78/83

  α = arctan(78/83) ≈ 43° . . . . . . angle from -x axis

The bearing angle will be this value added to 270°, since bearing angles are measured clockwise from north.

  bearing = 270° +43° = 313°

What expression represents the volume of the cylinder, in cubic units?

Answers

Answer:

2πx3

Step-by-step explanation:

A fabric store is having a sale. The price of every item in the store has been reduced by 30%. Which equation shows the
proportional relationship between the regular price, r, of an item and its sale price, s?

Answers

Equation to show the proportional relationship between the regular price, r, of an item and its sale price, s is 10s -7r=0.

What is sale price?

A sale price is the discounted price at which goods or services are being sold. This price is usually offered for a limited period of time, typically to spur sales during a slow period or to sell off excess inventory.

Let the regular price be r and sale price be 's'

Since price of every item reduced by 30%.

So, sale price will be

[tex]s= r- 30% of r[/tex]% of r

[tex]s= r- \frac{30}{100} *r[/tex]

s= r - 0.3 r

s= 0.7 r

s-0.7r=0

or, 10s -7r=0

Thus, equation shows the proportional relationship between the regular price, r, of an item and its sale price, s :10s -7r=0

Learn more about sale price here:

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A teacher bought 8 books at (p - 1500) each book and 2 pens at (p + 1000) each pen. If the teacher spent 53,000 altogether, how much money did he spend on the books?​

Answers

Answer:

38400/=

Step-by-step explanation:

8(p-1500)=8p-12000

2(p+1000)= 2p+2000

8p-12000+2p+2000=53000

10p-10000=53000

10p=53000+10000

10p=63000

p=6300/=

8 books=8(6300-1500)

=38400/=

If triangles CBA and RQP are similar, what can you say about the ratios of their corresponding
sides? Write the proportions.?

Answers

Answer:

here you go..............

Solve for -5v+6 = -12v+62 Simplify your answer as much as possible.

Answers

Hey there!

Answer :

[tex] \displaystyle \blue{\boxed{\green{\bold{v = 8}}}} [/tex]

[tex] \\ [/tex]

Explanation:

-5v + 6 = -12v + 62

[tex] \\ [/tex]

▪️Subtract 6 from both sides :

-5v + 6 - 6 = -12v + 62 - 6

-5v = -12v + 56

▪️Add 12v to each side :

-5v + 12v = -12v + 56 + 12v

7v = 56

▪️ Divide both sides by 7 :

7v / 7 = 56 / 7

v = 8

[tex] \\ [/tex]

Therefore, our answer is v = 8.

[tex] \\ [/tex]

▪️ Learn more about solving equations:

↣https://brainly.com/question/14700809

↣https://brainly.com/question/27597890

Answer:

v = 8

Step-by-step explanation:

Hello!

We can solve the equation by moving all terms of V to one side, and all integer values to the other.

Solve-5v + 6 = -12v + 62-5v + 6 + 12v = -12v + 62 + 12v7v + 6 = 627v + 6 - 6 = 62 - 67v = 56v = 56/7v = 8

The value of v is 8.

We can plug back 8 into the original to check our answer:

-5(8) + 6 = -12(8) + 62-40 + 6 = -96 + 62-34 = -34

Since both sides match, the solution of v = 8 is correct.

i need help finding the orignal price

Answers

I’m not the best at this but I’m pretty sure the original price is 140

3x + 2 = 14
Which number makes the equation true?

1
2
2
4
6

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

[tex]3x+2=14\\\\3x+2-2=14-2\\\\3x=12\\\\\displaystyle \frac{3x}{3}=\frac{12}{3}\\ \\ x=4[/tex]

need help on my aleks chapter 5 lesson 3

Answers

Answer:

65º

Step-by-step explanation:

Angles in a triangle add to 180º so:

180- 44 - 71 = 180 - 115 = 65º

Out of 270 students in 6th grade, only 60% are going on the field trip. How many students are NOT going on the field trip

Answers

Step-by-step explanation: answer: 108

270

[tex]270 \times \frac{60}{100} [/tex]

[tex]27 \times 6 = 162[/tex]

270=60%

60% =162

40% = not going

270 students - 60% 162= 108

→108 students are not going

Answer:

270 students - 60% 162= 108

Step-by-step explanation:

Find the slope of the line passing through the pairs of points. (-11. - 11) and (10,- 1)​

Answers

Answer:

the slope is [tex]\frac{10}{21}[/tex]

Step-by-step explanation:

slope formula for linear equations:

[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] so for the two points [tex]\frac{-1 - (-11)}{10 - (-11)}[/tex]  [tex]= \frac{10}{21}[/tex]

In which data set does the range have the greatest spread?

A. 10, 11, 11, 14, 14
B. 10, 13, 13, 14, 15
C. 9, 11, 11, 13, 14, 15, 16
D. 8, 11, 13, 13, 17, 20, 23

Answers

Answer:

D (8, 11, 13, 13,17,20,23)

Step-by-step explanation:

I did this and got it correct.

Choose the correct measurement of the scissors to the nearest inch.

Answers

There is no picture dude we don’t know what is is

You deposit $400 in an account earning 5% interest compounded annually. How much will you have in the account in 10 years?

Answers

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The amount that will be in the account after 10 years is $651.56.

What is compound interest?

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.

[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]

The principal amount is $400 which is invested for a period of 10 years at an interest rate of 5% annually. Therefore, the amount in the account after 10 years will be,

[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = \$400 (1+ \dfrac{0.05}{1})^{1 \times 10})\\\\A=\$651.56[/tex]

Hence, the amount that will be in the account after 10 years is $651.56.

Learn more about Compound Interest:

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Solve the inequality and graph the solution
x +1 2/5 _< 6 8/10

Answers

Answer: x < 5 [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

x + 1 [tex]\frac{2}{5}[/tex] < 6 [tex]\frac{8}{10}[/tex]

x + 1 [tex]\frac{2}{5}[/tex] < 6 [tex]\frac{4}{5}[/tex]

x < 5 [tex]\frac{2}{5}[/tex]

graph is attached

A carton of half & half costs $.98 for 4 cups. What is the cost per cup?

Answers

Answer:

$00.245

Step-by-step explanation:

.98/4=00.245

please mark brainliest

Pls tell how did she get
1.15m il will marke brainliat

Answers

Answer:

Step-by-step explanation:

1.15 represents a 15% increase so if you want a 15 % increase from last year, you would multiply 1.15 by m to get 1.15m

:)

Solve the following inequality for x.

-5x < -15x + 40
A.
x > -2.00
B.
x > 4
C.
x < 4
D.
x < -2.00

Answers

[tex]~~~~~~-5x < -15x +40\\\\\implies -5x +15x < 40\\\\\implies 10x < 40\\\\\implies x < \dfrac{40}{10}\\\\\implies x < 4\\\\\text{So, the answer is C.}[/tex]

Answer:

The answer will be C X < 4 okay thanks

How many integers from 1 to 100 have a factor of 3?

Answers

Answer: 33 integers

Step-by-step explanation:

The numbers with a factor of 3 must be a multiple of 3. Therefore, since 99 is the greatest multiple of 3 that is less than 100, we can divide 99 by 3 to get 33 integers (for every 3 consecutive integers, there is one multiple of 3). We can also divide 100 by 3 to get 33 1/3, which rounds to 33 integers.

I hope this helps!



please help me!! I’m bad at math!!

Answers

Answer:

50.24

-

And, you're not bad at math! You goot this correct! :)

Step-by-step explanation:

c=25.12

we can use this to find the raidus!

-

plug it back into the circumference formula first.

c=(pi)(d)

25.12=3.14*d

divide both sides by 3.14!

d=8 but we need the radius, so we just divide by 2. 8/2 = 4. so the raidus is 4!

-

now we plug it into the area of a circle formula.

π · r2

3.14 * 4^2

3.14*16

50.24

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