What is the value of x

Answer:

a) $500 + $525 = $ 1,025

b) $420 + $642 = $ 1,062

c) $210 + $856 =  $ 1,066

d) $840 + $214 =  $ 1,056

Step-by-step explanation:

Compound Interest Equation

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

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Compound Interest Formulas and Calculations:

Calculate Accrued Amount (Principal + Interest)

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

Calculate Principal Amount, solve for P

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

Calculate rate of interest in decimal, solve for r

r = n[(A/P)^1/nt - 1]

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = ln(A/P) / n[ln(1 + r/n)] = [ ln(A) - ln(P) ] / n[ln(1 + r/n)]

Answer:

It's C

Step-by-step explanation:

Answer:

Probability that the flight doesn't arrive on time = 0.2 (to the nearest tenth)

Step-by-step explanation:

90% of the eastbound flights arrive on time, i.e. Pe = 0.9

10% of the eastbound flights do not arrive on time, Qe =1 - 0.9 = 0.1

72% of the westbound flights arrive on time, i.e. Pw = 0.72

28% of the westbound flights do not arrive on time, Qw =1 - 0.72 = 0.28

42% of the airline schedule this morning is westbound (i.e 58% is eastbound)

If a flight is chosen at random:

Probability that it is a westbound flight and it does not arrive on time = 0.28 * 0.42 = 0.1176

Probability that it is an eastbound flight and it does not arrive on time = 0.1 * 0.58 = 0.058

Probability that the flight doesn't arrive on time = 0.1176 + 0.058

Probability that the flight doesn't arrive on time = 0.1756

Probability that the flight doesn't arrive on time = 0.2 (to the nearest tenth)

Answer:

The probability, that a flight does not arrive on time is 18.4%

Step-by-step explanation:

Here we have that;

The percentage of the Eastbound flight that arrive on time = 90%

The percentage of the Westbound flight that arrive on time = 72%

The percentage of Westbound flights the present morning = 42%

Therefore, the percentage of Eastbound flights the present morning = 100% - 42% = 58%

Hence the probability, p, that a flight will arrive on time this morning is given as follows

0.9 × 0.58 + 0.72 × ×0.42 = 0.816

Hence the probability, q, that a flight does not arrive on time = 1 - p

Which gives, q = 1 - 0.816 = 0.184

To convert back to percentage, we multiply by 100 hence;

0.184 × 100 = 18.4%

The probability, that a flight does not arrive on time = 18.4%.

Answer:

303.63 sq inches

Step-by-step explanation:

We need to find the area of the two rectangles he cuts and add them together.

The area of a rectangle is given as:

A = L * B

The first rectangle is 16 inches × 12 1/4 inches. Its area is:

A = 16 * 12 1/4 = 16 * 49/4 = 196 sq inches

The second rectangle is 10 1/2 inches by 10 1/4 inches. Its area is:

A = 10 1/2 * 10 1/4 = 21/2 * 41/4 = 107.63 sq inches

The total square inches of construction paper that he needs is:

196 + 107.63 = 303.63 sq inches

Answer: 3 fluid ounces

Step-by-step explanation:

The family size bottle of shampoo holds 10 fluid ounces of sunscreen while the regular bottle holds 70% percent less.

To get the fluid ounces the regular bottle of shampoo will hold, we find 70% of 10 fluid ounces and them subtract from 10 fluid ounces. This will be: = 70% of 10 ounces

= 7/10 × 10

= 7 fluid ounces.

Since the regular holds 70% less, week subtract 7 fluid ounces from 10 fluid ounces. This will be:

= 10 ounces - 7 ounces

= 3 ounces.

The regular bottle of shampoo holds 3 fluid ounces.

Answer:

w^2*(w+4)*(w^2+10)

Step-by-step explanation:

w^5+4w^4+10w^3+40w^2

w^2*(w^3+4w^2+10w+40)\w^2*(w^2*(w+4)+10(w+4))

w^2*(w+4)*(w^2+10)

I'm assuming there's an =0 at the end of this?

You need to factor to get an answer, so:

[tex]w^5+4w^4+10w^3+40w^2=0\\w^4(w+4)+10w^2(w+4)=0\\(w^4+10w^2)(w+4)=0\\w^2(w^2+10)(w+4)=0\\w=0\\w^2+10=0\\w^2=-10\\w=\sqrt{-10}=10i\\ w+4=0\\w=-4\\w=0,10i,-4[/tex]

If your teacher doesn't want any imaginary numbers, then your answer would be limited to w=0 and 4. (exclude the 10i if you don't want imaginary numbers)

Hey there! I'm happy to help!

To find the volume of a cone, you multiply the base by the height and then divide by three.

The base of a cone is a circle. To find the area of a circle, we square the radius and then multiply it by pi (we will use 3.14). Let's find the base below.

6²=36

36×3.14=113.04

Now, we multiply by the height.

113.04×8=904.32

Finally, we divide by three.

904.32÷3=301.44

Therefore, the volume of this cone is about 301.44 units cubed.

Now you can find the area of cones! I hope that this helps! Have a wonderful day!

Answer:

301.44

Step-by-step explanation:

Answer:

40 feet by 30 feet

Step-by-step explanation:

40 x 30 = 1200

40 is the length of the wall

30 is the height of the wall and is 3/4 of 40

Answer: 13% :D

Step-by-step explanation: Hope it helps

Answer:

13%

Step-by-step explanation:

:D

Answer:

The measure of angle N to the nearest degree is 28 degrees

Step-by-step explanation:

To answer this question, we shall be needing a diagrammatic representation of the triangle. Please check attachment for this.

To calculate the angle N, we shall be making use of trigonometric identities. From the diagram we see that we have the hypotenuse ( the longest side and the side facing the angle 90) and also the opposite ( the side facing the angle N)

Thus, the correct trigonometric identity to use here is the Sine

Mathematically, the sine of an angle = length of the opposite/length of the hypotenuse

Our opposite here is 4.2 feet with our hypotenuse as 9 feet

Plugging these values, we have

Sin N = 4.2/9

Sin N = 0.46666667

N = arc sin (0.46666667)

N = 27.82 , to the nearest degree we have 28 degrees

Answer:

28°

Step-by-step explanation:

:)

Answer: 2.8

Step-by-step explanation:

Given Data:

Money spent by Paula for red bell peppers = $2.56

Money spent by Paula on green bell peppers = $1.92

Both pepper cost = $1.60/ pound

Therefore:

Total pounds of bell peppers bought by Paula

= cost of green bell pepper + red red bell pepper / price/pound

= $2.56 + $1.92 / $1.60

= $4.48 / $1.60

= 2.8 pounds

Paula bought 2.8pounds of pepper

Answer:

2.8

Step-by-step explanation:

Answer:

2+2 is 4 quick math

Step-by-step explanation:

Answer:

The one in the upper left corner

Step-by-step explanation:

it is a good equation and the wording matches the problem

Answer:

pi=3.14

Step-by-step explanation:

3.14

Answer:

You’ve studied and now you’re geared up for the ACT math section (whoo!). But are you ready to take on the most challenging math questions the ACT has to offer? Do you want to know exactly why these questions are so hard and how best to go about solving them? If you’ve got your heart set on that perfect score (or you’re just really curious to see what the most difficult questions will be), then this is the guide for you.

We’ve put together what we believe to be the most 21 most difficult questions the ACT has given to students in the past 10 years, with strategies and answer explanations for each. These are all real ACT math questions, so understanding and studying them is one of the best ways to improve your current ACT score and knock it out of the park on test day.

Brief Overview of the ACT Math Section

Like all topic sections on the ACT, the ACT math section is one complete section that you will take all at once. It will always be the second section on the test and you will have 60 minutes to completed 60 questions.

The ACT arranges its questions in order of ascending difficulty. As a general rule of thumb, questions 1-20 will be considered “easy,” questions 21-40 will be considered “medium-difficulty,” and questions 41-60 will be considered “difficult.”

The way the ACT classifies “easy” and “difficult” is by how long it takes the average student to solve a problem as well as the percentage of students who answer the question correctly. The faster and more accurately the average student solves a problem, the “easier” it is. The longer it takes to solve a problem and the fewer people who answer it correctly, the more “difficult” the problem.

(Note: we put the words “easy” and “difficult” in quotes for a reason—everyone has different areas of math strength and weakness, so not everyone will consider an “easy” question easy or a “difficult” question difficult. These categories are averaged across many students for a reason and not every student will fit into this exact mold.)

All that being said, with very few exceptions, the most difficult ACT math problems will be clustered in the far end of the test. Besides just their placement on the test, these questions share a few other commonalities. We'll take a look at example questions and how to solve them and at what these types of questions have in common, in just a moment.

But First: Should You Be Focusing on the Hardest Math Questions Right Now?

If you’re just getting started in your study prep, definitely stop and make some time to take a full practice test to gauge your current score level and percentile. The absolute best way to assess your current level is to simply take the ACT as if it were real, keeping strict timing and working straight through (we know—not the most thrilling way to spend four hours, but it will help tremendously in the long run). So print off one of the free ACT practice tests available online and then sit down to take it all at once.

Once you’ve got a good idea of your current level and percentile ranking, you can set milestones and goals for your ultimate ACT score. If you’re currently scoring in the 0-16 or 17-24 range, your best best is to first check out our guides on using the key math strategies of plugging in numbers and plugging in answers to help get your score up to where you want it to. Only once you've practiced and successfully improved your scores on questions 1-40 should you start in trying to tackle the most difficult math problems on the test.

If, however, you are already scoring a 25 or above and want to test your mettle for the real ACT, then definitely proceed to the rest of this guide. If you’re aiming for perfect (or close to), then you’ll need to know what the most difficult ACT math questions look like and how to solve them. And luckily, that’s exactly what we’re here for.

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Ready, set...

21 Hardest ACT Math Questions

Now that you're positive that you should be trying out these difficult math questions, let’s get right to it! The answers to these questions are in a separate section below, so you can go through them all at once without getting spoiled.

#1:

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#2:

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#3:

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#4:

body_ACT_0809_-_54

#5:

body_ACT_0809_-_55-1

#6:

body_ACT_0809_-_56

#7:

body_ACT_0809_-_57-1

#8:

body_ACT_0809_-_60

#9:

body_ACT_1112_-__48-1

#10:

body_ACT_1112_-_45

#11:

body_ACT_1112_-_51-1

#12:

body_ACT_1112_-_52

#13:

body_ACT_1112_-_53

#14:

body_ACT_1112_-_58

#15:

body_ACT_1314_-_55-1

#16:

body_ACT_1314_-_59

#17:

body_ACT_1516_-_43

#18:

body_ACT_1516_-_44

#19:

body_ACT_1516_-_52

#20:

body_ACT_1516_-_57-1

#21:

body_ACT_1516_-_58-1

Step-by-step explanation:

Answer:

19, 22.5, 26, 29.5

Step-by-step explanation:

i believe it's going up by 3.5 each time.

Answer:

67

Step-by-step explanation:

Mean is the average

Add up all the values and divide by the numbers there are.

In this case, divide by 9.

Answer:

I think the answer is 2 bc 5 times 4 is 20 and 10 can go into 20 2 times.

Step-by-step explanation:

Answer:

i dont really know

Step-by-step explanation:

The price goes up by 1 for every 1 day. 2 times the amount as seeds per day.

8 x 2 = 16     8 x 3 = 24.

Answer:

The answer is (-5,-3).

Step-by-step explanation:

Step 1. On a coordinate plane with negative numbers and positive numbers you find (5,-3).

Step 2. You count how many boxes away 5 is from the center (you count from positive 5 and go left to the center) which is 5.

Step 3. You do that you stay at the center of the coordinate plane and count going left until you get to -5. ( For steps 2 and 3 you need to not move the -3.)

Step 4. You get (-5, -3).

Happy I could help.

Answer:

He scored 65 points in his last two games

Step-by-step explanation:

Here, we want to calculate the number of points Benny scored in his last two games.

We must understand that his last two games correspond to the games he played on Monday and on Friday

So to get his total points in the last two games, what we do is that we add both points together

Mathematically, that would be 19 + 46 = 65 points

Answer:

AT THE POINT NUMBER 2 IS INCORRECT !

Step-by-step explanation:

Answer:

8p∧2 ± p - 1 ± 13/p ± 1

Step-by-step explanation:

Divide (9p2 + 8p3 + 12) ÷ (p + 1) and it equals 8p∧2 ± p - 1 ± 13/p ± 1

Answer:

8p^2+p-1 with a remainder of 13

Step-by-step explanation:

p+1 divided by 8p^3+9p^2+0p+12

Answer:

also got 136 its right

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello!

The Interquartile range (IQR) is a measurement of dispersion, it is the "distance" between the third quartile and the first quartile.

IQR = Q₃ - Q₁

Data 4, 5, 7, 8, 8, 9, 10, 12 (ordered from least to greatest)

n= 8

The first quantile separates the bottom 25% from the top 75%

First, you calculate the position of the quartile:

Position Q₁= (n+1)/4= (8+1)/4= 2.25

4, 5, 7, 8, 8, 9, 10, 12

The 1st quartile is between the 2nd and 3rd observation, so the next step is to calculate the average between the two observations to get the value of the quartile:

Q₁= (5+7)/2= 6

The third quantile separates the bottom 75% from the top 25%

First, you calculate the position of the quartile:

Position Q₃= (n+1)*(3/4)= (8+1)*(3/4)= 6.75

4, 5, 7, 8, 8, 9, 10, 12

The 3rd quartile is between the 6th and 7th observation, so the next step is to calculate the average between the two observations to get the value of the quartile:

Q₃= (9+10)/2= 9.5

IQR = Q₃ - Q₁= 9.5-6= 3.5

The correct answer is A.

I hope this helps!

Answer:

0.06

Step-by-step explanation:

Answer:

0.067 gallons ( to 2 decimal places)

Step-by-step explanation:

First, note that since the same amount of vinegar was used in each container, it means that the 1 gallon of vinegar was divided equally to the 15 containers, hence the amount of vinegar used in each dye container is calculated as follows:

total volume of vinegar = 1

number of egg dye containers = 15

if equal volume of vinegar was used in each container:

volume of vinegar in each egg dye container = 1 ÷ 15 = 0.067 gallons ( to 2 decimal places)

Answer:

[tex] n = 1162 +2468 =3630[/tex]

And the probability that they cheated and we can use the classical definition of probability given by:

[tex] p =\frac{successes}{Total}[/tex]

And replacing we got:

[tex] p=\frac{1162}{3630}= 0.320[/tex]

So then the probability of people cheated is 0.320 or 32% approximately

Step-by-step explanation:

For this problem we know that in a survey of students, 1162 stated they cheated and 2468 stated they did not.

The total of people is given by:

[tex] n = 1162 +2468 =3630[/tex]

And the probability that they cheated and we can use the classical definition of probability given by:

[tex] p =\frac{successes}{Total}[/tex]

And replacing we got:

[tex] p=\frac{1162}{3630}= 0.320[/tex]

So then the probability of people cheated is 0.320 or 32% approximately

Answer:

Angle CED

Step-by-step explanation:

They are opposite to each other in the X they make.