Find the difference. Enter your answer in simplest terms, using the slash (1)
as the fraction bar.
5/8 - 1/3 =?

Answer:

125  56 − x 7

Step-by-step explanation:

1/2-3/8/1/3+4/7(5- 1/4 x)

Ater 4 years, the first year student will have $270.60 in their savings account using compound interest and the given principal amount.

When money is deposited or borrowed, simple interest is calculated on the initial sum, whereas compound interest is computed on the initial sum plus any interest gained. Simple interest simply applies the interest rate once to the starting sum; compound interest applies it numerous times to both the principle and any accrued interest. When interest is paid on interest, compound interest often yields a bigger return on investment over time than simple interest.

The compound interest is given by the formula:

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

where,

A is the amount of money after 4 years

P is the initial deposit of $250

r is the annual interest rate of 2% = 0.02.

n = 1 and

t = the number of years = 4.

Substituting the values we have:

[tex]A = 250(1 + 0.02/1)^{(1*4})\\A = 250(1.02)^4\\A = 250(1.0824)\\A = 270.60[/tex]

Hence, after 4 years, the first year student will have $270.60 in their savings account.

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Answer:

b = 18

Step-by-step explanation:

We do the inverse operation thing:

3 x 6 = 18

We can check it by filling it in:

18/6 = 3

So b = 18

Answer:

−2(3x+12y−5−17x−16y+4)

=(−2)(3x+12y+−5+−17x+−16y+4)

=(−2)(3x)+(−2)(12y)+(−2)(−5)+(−2)(−17x)+(−2)(−16y)+(−2)(4)

=−6x−24y+10+34x+32y−8

=28x+8y+2

Answer:

point slope form.

Step-by-step explanation:

this is different from slope intercept form. use these when dealing with cartesian graphs using slope and points along x, y

Answer:step 3 Step-by-step explanation: because it is right and i took the test edge 2021

Answer:

g(-1)=1/1296

g(.25)=1/6

g(0)=1

g(.25)=6

g(.50)=36

g(.75)=216

​g(1)=1,296

:)

Answer:

D infitently Many

Step-by-step explanation:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.

Answer:

47 apples

Step-by-step explanation:

50 apples - 3 apples

47 apples

Answer:

56 apples

Step-by-step explanation:

Answer:

1.099 * 10^-8 ; 4.23 * 10^-5 ; 0.0036

Step-by-step explanation:

Given :

p = 0.6

Sample size, n = 20

P(x = 0)

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

1 - p = 1 - 0.6 = 0.4

P(x = 0) = 20C0 * 0.6^0 * 0.4^20

P(x = 0) = 1 * 1 * 1.099511627776E−8

P(x = 0) = 1.099 * 10^-8

2) Exactly 3;

P(x = 3) = 20C3 * 0.6^3 * 0.4^17

P(x = 3) = 1140 * 0.216 * 0.00000017179869184

P(x = 3) = 0.0000423037098786816

P(x = 3) = 4.23 * 10^-5

3.) More than 17

P(x > 17) = P(x = 18) + P(x = 19) + P(x = 20)

Using calculator :

P(x > 17) = 0.0036

Answer:

2:14 and 3:21

Step-by-step explanation:

Answer:

okkokokokokokoookkijoiig

Step-by-step explanation:

We are solving for the number of students in each bus, so let x represent the number of students in each bus.

We have 4 + 9x = 472.

=> 9x = 468, x = 52.

Hence there are 52 students on each bus.

9514 1404 393

Answer:

  (a)  y = 1/2x + 2

Step-by-step explanation:

The only equation that matches the first table entry is ...

  y = 1/2x +2

  3 = (1/2)(2) +2 . . . . first table entry

Answer:oop I put the answer in da wrong play my bad have a good day or night

Step-by-step explanation:

M=2

Answer:

Your answer is 264

Step-by-step explanation:

Answer:

32 people can she serve

Step-by-step explanation:

12x8=96

96 divided by 3=32

[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]

[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]

[tex]16 - 3 \times 5 {}^{1} [/tex]

[tex]16 - 3 \times 5[/tex]

[tex]16 - 15[/tex]

[tex]1[/tex]

HopeItHelps you

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Answer:

YOUR MOM IS THAT BIG

Step-by-step explanation:

LOL

Answer:

2: a2-x2

4: b2-2bx+x2

6: -2bx

Step-by-step explanation:

The following procedure will be

1.  a²=h²+x²

2.  h²= a²-x²

3.  c² = h² + (x-b)²

4.  c² = h² + x² + b² -2xb

5.  c² = a²-x² + x² + b² -2xb

6.  c² = a² +b² -2xb

7.  x = a CosC

8.  c² = a² +b² -2ab CosC

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Right angle triangle

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The following procedure will be

1.  a²=h²+x²

2.  h²= a²-x²

3.  c² = h² + (x-b)²

4.  c² = h² + x² + b² -2xb

5.  c² = a²-x² + x² + b² -2xb

6.  c² = a² +b² -2xb

7.  x = a CosC

8.  c² = a² +b² -2ab CosC

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Answer:

0.986

Step-by-step explanation:

Probability of at least one being vac = 1 - Probability of all 5 not vac

1 - (1-0.57)^5 = 1 - (0.43^5) = 1 - 0.014 = 0.986

The probability that at least one of the five randomly chosen individuals had received a vaccination is around 0.956, or 95.6%.

Given that in a population, 57% people were vaccinated.

5 people are randomly selected, we need to find the probability that at least one of them has been vaccinated.

To calculate the probability that at least one of the five randomly selected people has been vaccinated, we can use the complementary probability approach.

The probability that none of the five people have been vaccinated is equal to the complement of the probability that at least one of them has been vaccinated.

So, let's calculate the probability of none of them being vaccinated and subtract it from 1 to find the desired probability.

The probability that a randomly selected person has not been vaccinated is 1 - 0.57 = 0.43 or 43%.

Since the selection of each person is independent, the probability that all five of them have not been vaccinated is:

P(Not Vaccinated) = 0.43⁵ = 0.043855

The probability that at least one of them has been vaccinated is the complement of the above probability:

P(at least one vaccinated) = 1 - P(not vaccinated)

= 1 - 0.043855 = 0.956145

Therefore, the probability that at least one of the five randomly selected people has been vaccinated is approximately 0.956 or 95.6%.

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Answer:

2.4

Step-by-step explanation:

The formula you would use is: A = P(1 + rt)

P is the principal which is $270

r is the interest rate

t is the time in years but we have 11 days so 11/360

A is $19.8

let's put the values in the formula

$289.9= $270(1 + r*(11/360))

you will find the r is 2.4

Answer:

4

Step-by-step explanation:

Answer:

n = 120

Step-by-step explanation:

Given that,

Side length the cube = 3 inches = 0.25 feet

We need to find the number of games can be packed inside of a box whose dimensions are 5 foot by 3 foot by 2 feet.

Let there are n games.

[tex]n=\dfrac{\text{Volume of box}}{\text{Volume of the game}}\\\\=\dfrac{5\times 3\times 2}{0.25}\\\\n = 120[/tex]

Hence, there are 120 games packed inside the box.

Answer:

[tex]c=20[/tex]

Step-by-step explanation:

The diagonals of a rectangle always bisect each other. Therefore, we can set [tex]QT=ST[/tex]:

[tex]c=4c-60,\\-3c=-60,\\c=\fbox{20}[/tex]