1. Michael deposited $500 in his bank account that pays 4% semi-annual compounded interest. If he does not touch the money for 5 years, how much money will be in the account?​

Answers

Answer 1

Answer:

$609.50

Step-by-step explanation:

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

   = 500(1 + [tex]\frac{.04}{2}[/tex])^2(5)

   = 500(1.02)¹⁰

    = 500(1.218994)

    = 609.497

Round answer up to $609.50


Related Questions

what is 37737332732.83838-388733883.6 equal?

Answers

Answer:

4838388.34?

Step-by-step explanation:

last year, emilia went bowling several times and earned an average score of 100 points. this year, after taking a class at school, her average is now 98% higher. what is her current average?​

Answers

198 is the answer I think

b. If this branch of the military changes the height requirements so that all women are eligible except the shortest​ 1% and the tallest​ 2%, what are the new height​ requirements?

Answers

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

znznzmzspmzlsldfpcf

I need help with this question

Answers

Answer:

1/3

Step-by-step explanation:

i hope this helps you! :)

Answer:

1/3

Step-by-step explanation:

When you are subtracting frations with the same denominator, you would only subtract the numerator and keep the denominator the same.

List all subsets of the given set.
B = {Lennon, McCartney}
O {}, {Lennon}, {McCartney}
O {}, {Lennon}, {McCartney}, {Lennon, McCartney}
{}, {McCartney}, {Lennon, McCartney}
{ }, {Lennon}, {Lennon, McCartney}
{Lennon}, {McCartney}, {Lennon, McCartney}

please help!

Answers

Answer:

O {}, {Lennon}, {McCartney}, {Lennon, McCartney}

Step-by-step explanation:

Both the empty set and the total set are subsets of the given set.

Hence there are 4 subsets.

Answer:

O {}, {Lennon}, {McCartney}, {Lennon, McCartney}

Step-by-step explanation:

The approximate z-score that corresponds to a right tail area of 0.45 is?​

Answers

Answer: 0.1257

Step-by-step explanation:

Let [tex]z_0[/tex] be the z-score that corresponds to a right tail area of 0.45.

We need to find [tex]z_0[/tex] such that [tex]P(z>z_0)=0.45[/tex]

From the z-score table, z-value corresponds for area of 0.45 is 0.1257.

That means  [tex]z_0=0.1257[/tex]

Hence, the approximate z-score that corresponds to a right tail area of 0.45 is 0.1257 .

can someone please help me

Answers

Answer:

y = -5/3x -7

Step-by-step explanation:

If lines are parallel they have the same slope m = -5/3. Just need to figure out the new y-intercept going through the point (-9, 8).

y = mx + b

8 = -5/3(-9) + b

8 = 15 + b

b = -7

Now use m and b to form new equation of parallel line.

y = mx + b

y = -5/3x -7

A vaccine is 95 percent effective. What is the probability that it is not effective for more than 1 out of 20 individuals?

Answers

Answer:

The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:

P = 1 - P(1) - P(0)

Where:

P(1) = probability that the vaccine is not effective in one individual

P(0) = probability that the vaccine is not effective in 0 individuals.

The probability that the vaccine is effective is 0.95

Then the probability that the vaccine is not effective is 0.05.

Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:

p(1) = (0.05^1)*(0.95^19)

But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)

Then the actual probability is:

P(1) = 20*((0.05^1)*(0.95^19)) = 0.377

And P(0) is easy to compute:

P(0) = (0.05^0)*(0.95^20) = 0.358

And here we have only one possible permutation, so we do not worry about that.

Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265

This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)

Define the following terms:

Answers

Mass - Something that measures the amount of matter in a substance or an object.
Volume - The quantity of three-dimensional space enclosed by a closed surface.
Melting point - The temperature at which a given solid will melt. (32°F)
Boiling point - The temperature at which a liquid boils and turns to vapor. (212°F)
Density - The degree of compactness of a substance.
Conductivity - The degree to which a specified material conducts electricity.
Solubility - The ability of a solid, liquid, or gaseous chemical substance to dissolve in a solvent (a solvent is a liquid.)
Magnetism - A physical phenomenon produced by the motion of electric charge.

Typically, your car gets 32 mpg on the highway, how many gallons of gas did you use if you
traveled 1760 miles?

Answers

Answer:

13 gallons

Step-by-step explanation:

13 gallons that e answer

¾ divid ⅖=n
Pleas answer i need a answer

Answers

15/8 or 1 7/8 if u need the decimals 1.875

1. Emma’s average in math increased from an 80 to an 84. By what percentage did her average increase?

Answers

Answer:

82

Step-by-step explanation:

What are the domain and range of f (x)= -27

Answers

Answer:

Domain: (-∞,∞)

Range: {−27}

help ASAP. Which relation is a function?​

Answers

Answer:

Answer choice on the top right.

Step-by-step explanation:

A function of points can not share the same x value.

4.321 × 12.34 AND IF YOU ANSWER YOU GET 10 POINTS JUST PLS HELP

Answers

Answer:

53.32114

Step-by-step explanation:

PLZ HURRY IT'S URGENT!!!
What is the slope of the line?

y=3
options:

0


1


3


undefined

Answers

Answer:

0

There is no x or number with an x (example: y= 2x+3, the 2 would be the slope)

Answer:

0

Step-by-step explanation:

2. I mark as brainliest ​

Answers

Answer:

3.55 miles

Step-by-step explanation:

You add the mileage of the two trails which is 1.75+1.8=3.55 miles

Using exponential maths what is 2x = 1/128

Answers

The answer is 1/256 hope this helps

Explanation: if u need to show your work lemme know just comment and I’ll get a notification

Line t has a slope of 3/5 line u is perpendicular to t what is the slope of line u

Answers

Answer:

[tex]\frac{5}{3}[/tex] is the slope of the line

Step-by-step explanation:

When two lines are perpendicular, their slopes are inverse.

[tex]\frac{3}{5}[/tex] becomes [tex]\frac{5}{3}[/tex] because they are inverse. Just flip the numerator (top number) and denominator(bottom number).

Hope this helps!

An airplane maintaining a constant airspeed takes as long to travel 925 mi with wind as it does to travel 775 mi against the wind. If the wind is blowing at 15 mph, what is the rate of the plane in still air

Answers

9514 1404 393

Answer:

  170 mph

Step-by-step explanation:

The speed of the airplane can be represented by s. The travel time will be ...

  time = distance/speed

  925/(s +15) = 775/(s -15)

  925(s -15) = 775(s +15)

  150s = 25500 . . . . . . . . . add 13875-775s

  s = 170

The rate of the plane in still air is 170 mph.

Factorise fully
14x – 8​

Answers

Answer:

2(7x-4)

Step-by-step explanation:

Answer:

2(7x-4)

Step-by-step explanation:

Factor out the gratest common divisor of the coefficients of 14x - 8

need help again!!! please and thank you!

Answers

Answer:

C) 4

Step-by-step explanation:

Just follow the same steps as the last one.

32x+2 = 33x-2

2+2=33x-32x

4=1x

X=4

It’s c :) gbehenehddbdbhe

A large hamburger (e.g., Whopper®) sandwich contains 628 kcal and 36 grams of fat. Approximately what percentage of the total energy is contributed by fat?

Answers

Answer:

Step-by-step explanation:

Total energy of the sandwich = 628kcal

Mass of fat contained = 36grams

Convert gram to kcal

1gram = 9kcal

36 grams = x

x = 36×9

x = 324kcal

Hence the fat contains 324kcal

%fat contained = fat(in kcal)/total calorie × 100%

%fat contained = 324/628 × 100%

%fat contained = 1/2 × 100%

%fat contained = 50%

Hence approximately 50% of the total energy is contributed by fat.

help please!!

For the following situation, identify the explanatory and response variable. Then discuss what reservations (think cautions) you might have about the results of the experiment. Asking “What if…” type questions may help.

Do the high, centered brake lights (which have been required on all U.S. cars since 1986) really reduce the frequency of rear-end collisions? Randomized comparative experiments with fleets of rental and business cars, done before the lights were required, showed that the third brake light reduced rear-end collisions by as much as 50%. After the lights were required the drop was only 5%.

Answers

The experiment is messed up. Business and rental drivers are usually much more careful in their driving patterns because the car isn't theirs. They are usually adults, experienced drivers who don't put themselves into risky driving situations. =  Speeding, cutting off others etc.. It also didn't tell how  much the cars were driven. There may have been a down turn in the economy and thus less business driving and same with the rentals. If they were used less after the installation then the study wasn't really valid. What was the price of gas before and after the instillation. Who did the study? Did the  previous testers have any reason to skew the study? Did they own stock in the third light business?  Was it the same people who did the study before who did the study afterwords? What was the average age of the drivers before and after? The study group may have aged and calmed down a bit more? What were the technology changes that occurred about the same time? Anti skid brakes, better material and tread designs for the tires, what about the design of the gages and their lighting.  How about the window styles and size..larger windows mean better view and potentially less accidents. What were the safety aspects of the cars before compared to the cars after, were they the same makes and Models or did the rental and business learn that certain cars were safer than others and move to the safer Models? so many variables to consider but did the tester consider them all-probably not. Random studies study only a certain percentage of the total. Who's to say the second random study didn't get less experienced drivers to study? All good what ifs'.

Chloe runs the after-school cookery club.
The group will be baking 36 scones using the following recipe.
Recipe for 12 scones:
• 250 g self-raising flour
• 60 g butter
• 30 g caster sugar
• 175 ml milk
How much milk will be used?
ml​

Answers

Answer:

525 ml

Step-by-step explanation:

12 : 175 ml

36 : x

= 175 × 36

= 6300

x = 6300/12

= 525 ml

The amount of milk that is used while baking 36 scones will be 525 mL.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Chloe runs the after-school cookery club. The group will be baking 36 scones using the following recipe.

Recipe for 12 scones:

250 g self-raising flour60 g butter30 g caster sugar175 mL milk

The amount of milk that is used while baking 36 scones will be given as,

⇒ 175 x 36 / 12

Simplify the expression, then we have

⇒ 175 x 36 / 12

⇒ 175 x 3

⇒ 525 mL

The amount of milk that is used while baking 36 scones will be 525 mL.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ5

does the surface in contact with ground affect the going motion of the car ?why?​

Answers

Answer:

Yes, it does. The ground is bumpy and it creates friction acting against the car's motion.

(you can include my example too depending on what your teacher is looking for)

Step-by-step explanation:

This is a fun one! Think about a ball rolling on a smooth surface, now on a bumpy sandpapery one. Which one do you think is faster? The smooth surface! This is because of this friction of the sandpaper which slows down the ball. On the other hand, the smooth one has very little friction. The same applies to cars.

In the population served by the New York Blood Center, 45% have blood type O. Consider the next 15 blood donations to the center from unrelated individuals. (a) What is the probability that exactly three have blood type O? (Enter your answer rounded to four decimal places.)

Answers

Answer:

0.03177

Step-by-step explanation:

Prob (Bld grp) ~ Bin (N, P)

N = 15, P = Prob of success ie 'O' blood type = 0.45

P (BG = 0) for 3 people = (N c X) P^X .  (1-P)^N-X

As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12

= 455 (0.091125) (0.0007662)

= 0.03177  

a. The  probability that exactly three have blood type O is 0.03177

Calculation of the probability:

Since

Prob (Bld grp) ~ Bin (N, P)

So

N = 15,

P = Prob of success ie 'O' blood type = 0.45

Now

P (BG = 0) for 3 people = (N c X) P^X .  (1-P)^N-X

So,

As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12

= 455 (0.091125) (0.0007662)

= 0.03177  

hence, The  probability that exactly three have blood type O is 0.03177

Learn more about probability here: https://brainly.com/question/21102470

PLEASE HELP!!!
There are 800 students who attend Park Middle School. There are 1.5 times as many boys as there are girls. Assign variables to the unknowns.

Answers

800= 1.5x +y
X is boys
And y are girls

1 3 Divide - 2 +7=Explain each step you used to find the quotient. 9 5 What is the first step in finding this quotient? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a fraction. Use a comma to separate answers as needed.) O A. Multiply the whole parts of the mixed numbers. The product is OB. Multiply the fraction parts of the mixed numbers. The product is OC. Convert the mixed numbers to fractions. The fractions are OD. Find the reciprocal of the dividend. The reciprocal is​

Answers

Answer:    15 an ummm  fine

Step-by-step explanation:

Answer:

15 is the correct answer

five times the sum of a number and four

Answers

here is the Answer:

5(x+4)

Hope it helps

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