Anita opened a savings account and deposited $600.00 as principal. The account earns 6% interest, compounded continuously. What is the balance after 1 year?
Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent. ( help please)

Answers

Answer 1

Answer:

$637.10

Step-by-step explanation:

Given:

P = 600

r = 6% or 0.06

t = 1

Work:

[tex]A=Pe^{rt}\\\\A=600e^{0.06*1}\\\\A=600e^{0.06}\\\\A=637.10[/tex]


Related Questions

Cylindrical oatmeal container has a diameter of 7 inches and a height of 10 inches find the surface area of the label which covers the curve surface of the can

Answers

Answer:

SA=πr^2h

=22/7×35/10×35×10×10

11×35

=385

A study conducted by a commuter train transportation authority involved surveying a random sample of 200 passengers. The results show that a customer had to wait on the average 9.3 minutes with a standard deviation of 6.2 minutes to buy his or her ticket. Find the upper confidence limit (UCL) for a 95% confidence interval for population mean , the true mean waiting time. Round your answer to two decimal places.

Answers

Answer:

The UCL of the 95% confidence interval for population mean is 10.16 minutes

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{6.2}{\sqrt{200}} = 0.86[/tex]

The upper end of the interval is the sample mean added to M. So it is 9.3 + 0.86 = 10.16 minutes.

The UCL of the 95% confidence interval for population mean is 10.16 minutes

I need help with this question

Answers

Answer:

Step-by-step explanation:

i believe x=28?

I think the answer is 12

plz help i didnt take this

Answers

Answer:

A.

Step-by-step explanation:

SOH CAH TOA

sin40°= Opposite ÷ Adjacent

sin 40°= 6/x

find the measure of any angle between 0 degrees and 360 degrees coterminal with an angle 354 degrees in standard position.
a. 174 degrees
b. 6 degrees
c. 354 degrees
d. 264 degrees

Answers

9514 1404 393

Answer:

  c. 354 degrees

Step-by-step explanation:

The only angle in the range 0 to 360° that will be coterminal with an angle in that range is one with the same measure:

  354°

Shannon went to an auto repair shop and paid $339.50, which included parts that cost $112 and 3.5 hours of labor. Joni went to an auto repair shop and paid $455, which included parts that cost $310 and 2.5 hours of labor. Which correctly compares the cost of the labor? Shannon paid $7 more per hour for labor. Shannon paid $7 less per hour for labor. Joni paid $85 more per hour for labor. Joni paid $85 less per hour for labor.

All the answers given are incorrect. The correct answer should be Shannon paid $7 more for labor.

Answers

Answer:

Option A, Shannon paid $ 7 per hour to labor than Joni

Step-by-step explanation:

Total amount paid by Shannon = $339.50

Total cost of 3.5 hours of labor paid by Shannon =($339.50- $112)

Total cost of 3.5 hours of labor paid by Shannon = $227.5/3.5

Total cost of 1 hours of labor paid by Shannon  $65 per hour

Total amount paid by Joni = $455

Total cost of 2.5 hours of labor paid by Joni =  $455- $$310

Total cost of 1 hours of labor paid by Joni = $145/2.5

Total cost of 1 hours of labor paid by Joni = $ 58

Hence, Shannon paid $ 7 per hour to labor than Joni

Option A is correct

4. Which has a longer perimeter, a square whose side is 3 metres or a rectangle whose
side measures 2 m by 3 m?

can someone answer this i follow and like​

Answers

Answer:

The square.

Step-by-step explanation:

perimeter is found by add ing all sides, so 3+3+3+3= 12 while 3+3+2+2= 10

which value for X makes the following sentence true?



13X - 7X=13

A) 12
B) 108
c) 3
D) 1​

Answers

Answer:

I think that the answer is 3

Answer:

None of the listed answers are correct

x = 13/6

Step-by-step explanation:

13x - 7x = 13

( Note: This is not a sentence. It's an equation)

Combine like terms

6x = 13

Divide both sides by6

x = 13/6

If 4 television weigh 160 pounds , how much do 5 of those television weigh? Show your work

Answers

Answer:

200 pounds

Step-by-step explanation:

4 televisions weigh 160 pounds

1 television weigh 40 punds

5 televisions weigh 200 pounds

Answer:

Logically 200 lbs

Step-by-step explanation:

160/4 = 40

1TV = 40 lbs

40 * 5 = 200

200lbs...

A line segment AB has midpoint (2, 5). If the coordinates of A are (-1, -3), what are the coordinates of B?

Answers

Answer:

B (5; 13)

Step-by-step explanation:

Midpoint (x) = (-1 + bx)/2 = 2

Bx - 1 = 4

Bx = 5

Midpoint (y) = (-3 + By)/2 = 5

By - 3 = 10

By = 13

B (5; 13)

find the alternative interior angles in each figure​

Answers

Answer:

Step-by-step explanation:

10.
V=720 cm
L=?
P=15 cm
T=8 cm
A. 6 cm
B. 8 cm
C.10 cm
D. 12 cm​

Answers

Answer:

6 cm

Step-by-step explanation:

Given the information :

V=720 cm

L=?

P=15 cm

T=8 cm

The volume = L * P * T

V = L * P * T

720 = L * 15 * 8

720 = L * 120

L = 720 / 120

L = 6 cm

*Brainliest!* What are the AREA and Perimeter of this collection of tiles?

Answers

Answer:

15 I think

Step-by-step explanation:

I’m pretty sure it’s 15 PERIMETER and the AREA has to be 30 I’m pretty sure this is please consider Brainliest!!

Three divided by one-fourth

Answers

Answer:

3 divided by 3/4 is 4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

3÷1/4

3×4

12

I hope this helps.

i will privetely give 50 point to anyone who solves this correctly
Ms. White invests
$
2000
in a savings plan. The savings account pays an annual interest rate of
5.75
%
on the amount she puts in at the end of each year. How much will be in her savings plan at the end of
10
years?

Answers

Answer:

$3498.11 at the end of 10 years.

Step-by-step explanation:

2000 + 0.0575*2000*10 = 3150 dollars at the end of 10 years.

I need help please urgent

Answers

Answer:

its ok don't worry

Step-by-step explanation:

its a mental answer

What is the area of the figure?

A. 52 cm2
B. 52 cm
O C. 130 cm
O D. 130 cm2

Answers

Answer:

B is the answer

Answer:

130 cm^2

Step-by-step explanation:

split the figure into two rectangles, one can be 4x5 rectangle and the other can be the 11x10 rectangle. now multiply.

4x5 = 20

11x10=110

20+110 = 130 cm^2

can someone answer this please

Answers

Answer:

Lauren saves $4,200 and Harold saves $1,050 after 6 months.

Step-by-step explanation:

700 × 6

175 × 6

Help solve the problem pls

Answers

Answer:

x = 2

Step-by-step explanation:

Inverse variation between x and y can be represented as:

xy = k

Where k is the constant of proportionality.

If x = 1 when y = 11, the constant of proportionality, k, would be:

1*11 = k

k = 11

To find x when y = 5.5, substitute y = 5.5 and k = 11 into xy = k

Thus:

x*5.5 = 11

Divide both sides by 5.5

x = 11/5.5

x = 2

A submarine patrolling the Indian Ocean was situated 800 feet below sea level. If it ascends 275 feet, what is its new position relative to sea level.

Answers

Answer:

-525 feet

Step-by-step explanation:

If a submarine was below sea level, that would mean that it would be at an elevation of negative feet down, so if it's 800 feet below sea level, it's elevation would be -800.

to ascend means to rise, so the submarine would be moving +275 feet (going higher, closer to sea level)

so you can make out this equation: -800 + 275

this would equal: -525

A Statistics class from a high school with 4,000 students took a survey of the first 35 students who walked through the front door of the school, and asked how far they traveled to school that day. The class plans to run a one-sample t-test to determine if the average travel distance has increased since last year. The students notice that the sample data are right skewed. Which conditions have been satisfied for the t-test

Answers

Answer:

Independent of the unknown population standard deviation σ

Step-by-step explanation:

It is one tailed test so the data is right skewed.

The t distribution approaches the standard normal distribution as the number of degrees of freedom or the sample size becomes larger.

Here the number of degrees of freedom in = n-1= 35- 1= 34

This is the only parameter of the t distribution.

The important property of t distribution is that it is independent of the unknown population standard deviation σ . It is therefore applied to test hypotheses about the mean of the population irrespective of what the standard deviation may be.

Please help me I'm crying and need help

Answers

Answer:

i think its 81

Step-by-step explanation:

which measurement is closest to the area of the shaded region in square inches

Answers

The answer is 19 need any work?

Given: cosθ= 4/5


Find: sin2θ

Answers

Answer:

cos theta=4/5

b/h=4/5

b=4 and h=5

p=?

H^2=P^2+B^2

5^2=P^2+4^2

25-16=P^2

9=P^2

[tex]\sqrt{9}[/tex]=P

3=P

Now,

sin2theta

=p/h2

=3/5*2

=9/5

Step-by-step explanation:

Answer:

About 36.87 degrees; sinθ=3/5

Step-by-step explanation:

Note: I made an assumption with the Find: sin2θ part of your question, as it turned up as invalid when working on it on my end. Therefore, I assumed that it was sinθ. If it was something else, tell me and I can correct the answer/content.

Since within a triangle there are three sides when solving an angle, being opposite, adjacent and hypotenuse.

By already having cosθ=4/5. the rest of the problem can be solved. Since cosine is adjacent over hypotenuse, we can use the Pythagorean Theorem, solving for one of the legs of the triangle with:

c^2-b^2=a^2

Now, just plug in c as the 5 (the hypotenuse) and b as 4 (one of the legs).

5^2-4^2=a^2

25-16=a^2

9=a^2

a=3

The other leg is 3. With this, 3 would be the opposite angle from sin 20. Therefore, it can be plugged in the sine equation to get the answer. Remember, sine is Opposite/Hypotenuse.

sinθ=3/5

Move over the sine to then opposite side, inverse it:

θ=sin-1 3/5

Use a calculator.

θ = about 36.87 degrees.

what is the equivlalent expression of 10 plus 10 plus 10​

Answers

Answer:

10 + 10 + 10 = 10 x 3

                   = 30

I know the answer but first please answer my math question

Find a

-1701(81^3a-4)=7(729)^a

Does anyone know what 1/2*1/2*1/2*1/2 equals?
answers:
4/48
5/16
1/20736
4/12

Answers

I believe it would be 1/16.

•ω• Hewo fren!

☆☆●◉✿Answer:✿◉●☆☆

1/2*1/2*1/2*1/2= [tex]\frac{1}{2} ^{4}[/tex]  Which is apparently none of these answers since it’ll be 1/16.

(Did you make a mistake with 5/16?)

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

I know it is not 4/48 because that’ll be 1/12.

I know it would not be 1/20736 because the number is too small.

I know it would not be 4/12 beacuse that’ll be 1/3

And Iast but now Ieast I know it wouldn’t be 5/16 because that cannot be simplified.

HOPE I HELPED!  ∧∧

→⇒brainliest please? ∑(OΔO )♥♥︎

Use rational exponents to represent 65,535

Answers

Hiiiiiiiiiiii


Handshake

Angle Relationship

Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.

The sine of the complimentary angle of 34°

a. -0.52
b. 0.83
c. 0.97
d. -0.66

Please select the best answer from the choices provided

Answers

Answer:

B. 0.83

Step-by-step explanation:

I calculated it logically

The answer is B- 0.83

NEED HELP!!!! ILL MARK BRAINLESS FIRST PERSON!!!!

Answers

Answer:

THE ANSWER SHOULD BE B

HAVE A GOOD DAY

Step-by-step explanation:

Answer:

sort several bags and calculate percentage

2.93 km
Before the eruption of a volcano, the volcano was 2.93 kilometers
high. After the eruption, the volcano was 2.53 kilometers high
Use the bar diagram to find the difference in height of the volcano
before and after the eruption, in meters,
2.59 km
Click the icon to see the metric units of length
meters,
The difference in height of the volcano before and after the eruption is
(Type a whole number or a decimal)

Answers

Answer:

0.4

Step-by-step explanation:

Other Questions
Most waves are created by ocean currents crikey expression to show whether it is equivalent to 3 * 9 or to 2x3x9 Please help! find the common ratio of the geometric sequence. -1/4, 1/16, -1/64, 1/256,... A. 1/64 B. -1/4 C. -1/16 D. 1/16 E. 1/4 How are humans contributing to the pollution of this lake? A. Toxic chemicals are released into the air from the factory. B. The soil is contaminated from coal mining. C.Noise pollution from the factory disrupts the aquatic life.D. The temperature of the water increases from chemical dumping. During Hectors birthday party, his uncle Esteban took a video. First, he filmed Hector breaking the piata, then opening his presents and finally, eating his cake. Which one of the following is the correct order of the sequence of events?Hector tiene la piata, prepara sus regalos, y come pastel.Hector rompe la piata, celebra sus regalos, y come el pastel.Hector rompe la piata, abre sus regalos, y come el pastel.Hector toma la piata, rompe sus regalos y come pastel. What is the moral responsibility of a person? What is the mortgage loan value on a $375,000 home if 20% is paid as adown payment?$325000$375000$75000$300,000 Which of the following is an exampleof a measure of themass of an object?A. 65 centimetersB. 65 gramsC. 65 light-yearsD. 65 feet How did the North Atlantic Treaty Organization (NATO) impact the course of the Cold War?It created an economic organization to support its members against communism.It responded to the Soviet creation of the Warsaw Pact in Eastern Europe.It discouraged the Soviet Union from invading Western Europe.It organized a web of surveillance to monitor the Soviet navy and its movements. Can someone help me with this My favorite bagel shop has 12 types of bagels, 10 types of cream cheese, and can choose to have it toasted or not . How many different bagels can order? I need to find the value of x How were the ostrogoths affected by settling in the Western Roman Empire?A: They held Rome for ransom to increase their treasuryB: They were weakened by attacks by the vandals and other barbariansC: They improved their military strength by joining forces with the hunsD: They gave up their own culture in place of Roman culture The sum of 2 numbers is 82 and one exceed the other by 40.what are the number 2 Find the length of NL. You are performing a titration with 0.80 M sodium hydroxide as a standard. Estimate how much would be needed to change 125 mL of a 2.0 M solution of nitric acid to a faint pink endpoint. crivez le mot de vocabulaire qui convient le mieux au contexte.Lucas lit souvent l'quipe. C'est un ______ franais qui traite le sports. Patricia needs 2 pints of purple icing to decorate cupcakes. She will use the following recipe for 1 pint of purple icing. 1 pint of white icing 4 1/4 teaspoons of blue food coloring 2 1/2 teaspoons of red food coloring.Explain two different ways for Patricia to find the total number of teaspoons of blue and red food coloring necessary to make the 2 pints of purple icing. (Do not solve the problem.) How do I find the indicated value? Then find the values of x and y.