James deposited $575 into a bank account that earned 5.5% simple interest each year. No money was deposited into or withdrawn from the account. How much money was in the account after ​ ​ 2 1/2 ​ ​ years? Round your answer to the nearest cent.

Step-by-step explanation:

tan0=opp/adj

where opposite =3,adjacent =x,=70

tan 70=3/x

2.7474=3/x

2.7474x=3

divide both sides by 2.7474

x=3/2.7474

x=1.0919

x=1.10 to 1 d.p

Answer:

A

Step-by-step explanation:

I think because The United States allowed Japan to keep its emperor — Hirohito — after the war. Japan's post-war constitution became official on May 3, 1947, and Japanese citizens elected a new legislature. The U.S. and other allies signed a peace treaty in San Francisco formally ending the war in 1951.

According to Office Of The Historian," The outbreak of the Korean War in 1950 provided SCAP with just the opportunity it needed to address this problem, prompting some occupation officials to suggest that, “Korea came along and saved us.” After the UN entered the Korean War, Japan became the principal supply depot for UN forces. The conflict also placed Japan firmly within the confines of the U.S. defense perimeter in Asia, assuring the Japanese leadership that whatever the state of its military, no real threat would be made against Japanese soil."

Answer: Japan produced supplies for the United States during the Korean War.

A

Answer:

£150 saved; £240 spent.

Step-by-step explanation:

If the ratio of savings to spending is 5:8, we find the fractions representing the amount saved and the amount spent by adding up 5 and 8 and then forming fractions:

savings:  5/13

spending:  8/13

(5/13) of £390 is £150; this is the amount saved.

(8/13) of £390 is £240; this is the amount spent.

Please mark as the brainliest answer and i hope it helps you....

Answer:

50%

Step-by-step explanation:

There are 14 girls in class five.

28 students were present in class five, such that 18 of them were boys.

The number of girls on Sunday is given by the difference:

28 - 18 = 10

And we know that 4 girls did not go to school on that day, so the total number of girls on class five is:

10 + 4 = 14

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Answer:

3

Step-by-step explanation:

7*1/x+2/3=3

7*1/x=3-2/3=7/3

1/x=7/3 / 7 = 1/3

1/x=1/3

x=3

Answer:

84 flowers.

Step-by-step explanation:

We must multiply 90 by 1/15 to get 6 bulbs that will not flower. 90-6 is 84.

Answer:

130° and 310°

Step-by-step explanation:

the bearing of A from B is the measure of the clockwise angle from a north line at B to A

the angle at B and A are same- side interior angles and sum to 180°

angle at B = 180° - 50° = 130°

the bearing of A from B is then 130°

the bearing of B from A is the measure of the clockwise angle from the north line at A to B

the complete angle about A = 360° then clockwise angle from north line at A to B is

360° - 50° = 310°

the bearing of B from A is 310°

Answer:

4/12

Step-by-step explanation:

brainest plz

Answer:

b

Step-by-step explanation:

The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

Given that (5*x) mod 91 =32.

To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.

Consider  (5*x) mod 91 =32.

5x = 32(mod 91)

Apply the Euclidean algorithm to find GCD of 5 and 91 is

91 = 18 * 5 + 1.

Rewrite it in congruence form,

1 = 91 - 18 *5

On simplifying the equation,

1 = 91 (mod 5)

The modular inverse of 5 modulo 91 is 18.

Multiply equation by 18 on both sides,

90x = 576 (mod91)

To obtain the smallest positive  solution,

91:576 = 6 (mod 91)

Divide both sides by the coefficient of x:

x = 6 * 90^(-1).

Apply the Euclidean algorithm,

91 = 1*90 + 1.

Simplify the equation,

1 + 1 mod (90)

The modular inverse of 90 modulo 91 is 1.

Substitute the modular inverse in the given question gives,

x = 6*1(mod 91)

x= 6 (mod91)

Therefore, the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

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Answer:

b = 3 and a = -1

Step-by-step explanation:

You have your given equation:

2a - 3b = -11

a + 3b = 8

You need to find what a and b is.

To find b:

2a - 3b = -11

-2a - 6b = -16

I multiplied a + 3b = 8 by -2. When you multiply a number you have to multiply all of them. You have to choose a number that would cancel out all of a.

So now your equation would look like this when you solve for b:

2a - 3b = -11

-2a - 6b = -16

-------------------

a - 9 = -27 then you divide -9 to -27 which is 3 so b = 3.

To find a:

2a - 3b = -11

a + 3b = 8

I multiplied a + 3b = 8 by -1 and 2a - 3b = -11 by -1 as well.

Your equation will look like this when you solve for a:

-2a + 3b = 11

-1a - 3b = -8

------------------

-3a = 3 then divide -3 to 3 which is -1 so a = -1.

Check to see if you have the correct answer by plugging in the number you got for a and b into the equation and solve.

1. 2(-1) -3(3) = -11

 -2 - 9 = -11

2. -1 + 3(3) = 8

   -1 + 9 = 8

The motion of the skier from point A to point B, then to point C, and then point D, indicates that the distances and displacement traveled are;

a) The distance from A to C is 280 meters

b) The distance from point A to point D is 360 meters

c) The displacement of the skier from point B to point C is 120 meters.

Displacement is the change in the position or location of the object.

The possible diagram of the skier in the question can be presented as follows;

A \({}\)                            C                                                   D                          B

t = 0 min      \({}\)         t = 2 min                                       t = 3 min            \({}\)t = 1 min

ʂ         \({}\)                     ʂ                                                     ʂ                           ʂ

-|-------|------|------|------|-----|------|-----|------|------|-------|-------|--------|-------|-------|-----

0           \({}\)   20           40         60          80            100    120    140           160

The above diagram indicates that we get;

a) The distance from point A (t = 0 min) to point C(t = 2 min) is can be found as follows;

The skier moves from point A to point B then from point B to point C, therefore,

The distance from point A to point B = 160 m - 0 m = 160 m

The distance from point B to point C = 160 m - 40 m = 120 m

The distance from point A to point C is therefore;

b) The distance from point A to point D = The distance from point A to point C + The distance from point C to point D as follows;

AD = AC + CD

CD = 120 m - 40 m = 80 m

Therefore;

AD = 280 m + 80 m = 360 m

c) The displacement of the skier from point B (t = 1 min) to C (t = 2 min) can be found as follows;

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Answer:

no correlation

Step-by-step explanation:

The price of the smartphone is fixed beforehand, therefore price does not depend upon the number of units sold.

Hence, there is no correlation between the two given variables.

Hence, no correlation would be the answer.

Both are not earning different salaries.

If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant, then the subpopulations of mechanical and civil engineers are not earning different salaries.
Study determines that there is not any significant study so thats why both are not earning.


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Each product of the fractions are

Part1. =17.33

Part2.= 0.73

Part3.=45.93

Multiplication is a mathematical operation that involves combining two or more numbers to obtain a product or result. Multiplication is a fundamental arithmetic operation that is used in a wide range of mathematical applications, from simple calculations such as calculating the area of a rectangle, to more complex problems in algebra, geometry, and calculus.

⅔×26

Multiplying 2 and 26, we get

52/3

Now, dividing it with3, we get

17.33

⅞×5/6

Multiplying 7 and 5 and 8 and 6, we get

35/48

Now, dividing 35 and 48, we get

.73

5 ⅕× 8 ×⅚

Solving the improper fractions;

26/5×53/6

Multiplying 26 and 53 and 5  and 6, we get

1378/30

Now, dividing 35 and 48, we get

45.93.

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Answer:

the answer is a

Step-by-step explanation:

Can i please have brainliest. I really need it

Thanks

Answer:

120 ich or A

Step-by-step explanation:

Answer:

18 years

Step-by-step explanation:

20,010 = 8700*(1.05)^x

x = log_21/20 (23/10)

x = 17.07125

The amount of work done is Option A) 12 N/m

Work done is simply defined as the product of the magnitude of displacement, (d) and the component of the force that in the direction of displacement.

It measures energy transfer that occurs when an object is moved to a distance by an external force which is applied in the direction of the displacement.

Work done on a body is equivalent  to the increase in the energy of the body, because it transfers energy to the body.

The formula for work done is;

W = fd

Where, 'f' is the applied force and d is the distance

Substitute the values

Work done = 6(2)

Work done = 12 N/m

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Answer:

\(y''=\frac{-250x}{y^5}\)

Choice A.

Step-by-step explanation:

We are given:

\(5x^3-y^3=25\)

We are asked to find:

\(\frac{d^2y}{dx^2}\)

This requires we first find:

\(\frac{dy}{dx}\)

Let's begin.

We will differentiate the right hand side using the constant rule since 25 is just a constant. We will differentiate the left hand side using difference rule  and then constant multiple rule and then power rule and chain rule.

\((5x^3-y^3=25)'\)

\((5x^3-y^3)'=(25)'\)

\((5x^3)'-(y^3)'=0\)

\(5(x^3)'-(y^3)'=0\)

\(15x^2-3y^2y'=0\)

Now let's solve for \(y'\).

Add \(3y^2y'\) on both sides:

\(15x^2=3y^2y'\)

Divide both sides by \(3y^2\):

\(\frac{15x^2}{3y^2}=y'\)

Symmetric property of equality:

\(y'=\frac{15x^2}{3y^2}\)

Simplify right hand side:

\(y'=\frac{5x^2}{y^2}\)

Now let's find the second derivative by differentiating both sides of this equation. We will use the quotient rule on the right hand side:

\(y''=\frac{(5x^2)'y^2-5x^2(y^2)'}{(y^2)^2}\)

\(y''=\frac{10xy^2-5x^2(2yy')}{y^4}\)

We can replace \(y'\) with \(\frac{5x^2}{y^2}\)... since we just got this result before differentiating both sides of an equality again.

So we have:

\(y''=\frac{10xy^2-5x^2(2y\frac{5x^2}{y^2})}{y^4}\)

Let's simplify the 2nd term on top by cancelling a common factor of y in that term from top and bottom:

\(y''=\frac{10xy^2-5x^2(2\frac{5x^2}{y})}{y^4}\)

We still don't like having this compound fraction (a mini fraction inside a bigger fraction). Let's get rid of that...Multiply numerator and denominator by \(\frac{y}{y}\) for the big fraction to clear the mini fraction out.

\(y''=\frac{y}{y}\frac{10xy^2-5x^2(2\frac{5x^2}{y})}{y^4}\)

Distribute:

\(y''=\frac{10xy^3-5x^2(2)5x^2}{y^5}\)

Simplifying a bit more:

\(y''=\frac{10xy^3-50x^4}{y^5}\)

We could factor the top a bit... both terms on top of a common factor of \(10x\):

\(y''=\frac{10x(y^3-5x^3)}{y^5}\)

Notice the thing in ( ) on top is the exact opposite of the left hand side of our original equation: \(5x^3-y^3=25\).

This implies we can replace it with -25:

\(y''=\frac{10x(-25)}{y^5}\)

\(y''=\frac{-250x}{y^5}\)

9514 1404 393

Answer:

  24

Step-by-step explanation:

The angles of a linear pair are supplementary.

  (6x +3)° +33° = 180°

  6x = 144 . . . . . . . . . . . divide by °, subtract 36

  x = 24 . . . . . . . . divide by 6

Answer:

A2 -2

Step-by-step explanation:

Given the mathematical expression;

-7 + 5

To find their sum;

Simplifying a mathematical expression simply means to collect like terms that are having the same variables or constants and combining them, so as to reduce the expression to the lowest possible value.

-7 + 5 = -2

Therefore, the sum of -7 + 5 is equal to -2

Answer:

lol i failed miserably so hopefully this helps you not be like me

Step-by-step explanation:

Answer:

(0, 2) & (4.71, 3)

Step-by-step explanation:

Best of luck to all indeed of this info~! You're the best^^

<3

The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.

Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.

Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.

Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.

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Question 4 The graph of f(x) is shown. For what values of x does f(x) = 0 ? Select all that apply. MU 0 2 3​

___________________________________

Can you see the updates?

Give me two minutes to point out the points on your graph

__________________________________

Answer

x= 2, -1, -3

____________________________________

Do you have any questions regarding the solution?

Answer: 8

Step-by-step explanation:

Median is the middle number of the set of numbers (layed out smallest to biggest)

4, 5, 5, 6, 10, 11, 12, 15

There are 8 numbers meaning the middle numbers are 6 and 10, so inbetween 6 and 10 is 8 so the median is 8

Step-by-step explanation:

Median = 8

Have a good day..

Answer:

255.5 miles

Step-by-step explanation:

146 miles - 2 hours

x miles - 3.5 hours

Cross multiply

2x = 146 x 3.5

2x = 511

Divide both sides by 2

x = 511/2

x = 255.5 miles

Answer:

255.5 Miles

Step-by-step explanation:

2 Hours= 146

1 Hour= 73

Half an hour=36.5

3.5 hours= 255.5

Answer:

11 More Games.

(I did the quiz too)

Answer:

11

Step-by-step explanation:

I did this on my map test, it's right