How is the future value of $500 invested for one year at 6% annual interest computed?

Answer:

24 : 12,       36 : 18,        48 : 24.

Step-by-step explanation:

hope this helps :)

Answer:

24:12

Step-by-step explanation:

Answer:

[tex]\displaystyle y=2\sqrt{6}[/tex]

[tex]\displaystyle x=2\sqrt{2}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.

Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:

[tex]\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}[/tex]

Solving for y:

[tex]y=4\sqrt{2}\cos 30^\circ[/tex]

Since:

[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]

[tex]\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}[/tex]

Simplifying:

[tex]\displaystyle y=2\sqrt{6}[/tex]

Now we use the sine ratio:

[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}[/tex]

Solving for x:

[tex]x=4\sqrt{2}\sin 30^\circ[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}:[/tex]

[tex]\displaystyle x=4\sqrt{2}\frac{1}{2}[/tex]

Simplifying:

[tex]\displaystyle x=2\sqrt{2}[/tex]

The choices are not clear, but it seems like the correct answer is C.

[tex]\boxed{\displaystyle y=2\sqrt{6}}[/tex]

[tex]\boxed{\displaystyle x=2\sqrt{2}}[/tex]

Answer:

Maximum height = 500 feet

Land after = 20 seconds

Step-by-step explanation:

Let us follow the movement of the ball as it is thrown upwards.  We notice that we get to a point, where the change in the height of the ball with respect to time becomes = 0. This means that the ball is at its maximum position.

Hence, mathematically, at maximum height, [tex]dh/dt = 0[/tex]

Recall,

[tex]h = 100t - 5t^2[/tex]

[tex]dh/dt=100-10t[/tex]

From our problem, we can also deduce that at the maximum height, the velocity of the ball is = 0. i.e [tex]dh/dt = 0[/tex]

hence,

[tex]0 = 100-10t\\t =10 seconds[/tex]

The time the ball takes to reach a maximum height is 10 seconds.

The next step will be to substitute this time value into the equation for the height.

[tex]h = 100(10) -5(10)^2=500 feet[/tex]

The maximum height is 500 feet

The object will land after t X 2 seconds = 10 X 2 = 20 seconds. This is because it will have to go up and come back down. This should take twice the time.

Answer:

c edg 2020

Step-by-step explanation:

Gothcu

Answer:

127.1

Step-by-step explanation:

This is easy, if you see the hundredth 0.07, that is above 5 so it rounds up to become 0.1 tenth, normally we check for things like 0.003 in the thousandth, but here it is less than 5 so it does nothing, not to mention it wouldnt change the outcome

Answer:

C

Step-by-step explanation:

6 weeks until she reaches 60 kilo

Answer:

The slope is

[tex] - \frac{3}{2} [/tex]

Step-by-step explanation:

Remember:

[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

All we have to do is plug the points in.

[tex]Slope = \frac{ - 7 - ( - 1)}{5 - 1} = \frac{ - 6}{4} = - \frac{ 3}{2} [/tex]

Therefore, your slope is

[tex] - \frac{3}{2} [/tex]

Answer:

Second answer is the correct answer

Answer:

The answer is "Their values are reliable or accurate in the distribution of the test".

Step-by-step explanation:

Given temperature:

[tex]37.8, \ 38.3, \ 38.1, \ 38.0, \ 37.6, \ 38.2, \ 38.0, \ 38.0, \ 37.4, \ 38.3[/tex]

Calculating the average value temperature:

[tex]\to \frac{37.8 + 38.3 + 38.1 + 38.0 + 37.6+ 38.2+ 38.0+ 38.0+37.4+ 38.3}{10}[/tex]

[tex]\to \frac{379.7}{10}\\\\\to 37.97\\\\\to 38[/tex]

Answer: A=6a2

Step-by-step explanation:

did it help?^﹏^

Answer:

x² + 4x - 7 = (x + 2)² - 11

Step-by-step explanation:

Let us solve the question

∵ The expression is x² + 4x - 7

∵ The form is (x + a)² - b

→ To express the equation in the given form quate them

∴ x² + 4x - 7 = (x + a)² - b

→ Simplify the right side then equate the like terms to find a and b

∵ (x + a)²  = (x + a)(x + a)

∴ (x + a)² = (x)(x) + (x)(a) + (a)(x) + (a)(a)

∴ (x + a)² = x² + ax + ax + a²

→ Add the like terms

∵ (x + a)² = x² + (ax + ax) + a²

∴ (x + a)² = x² + 2ax + a²

→ Substitute (x + a)² in the right side by x² + 2ax + a²

∵ x² + 4x - 7 = x² + 2ax + a² - b

→ Equate the coefficients of the like terms

∵ 4x and 2ax are like terms

∴ 4 = 2a

→ Divide both sides by 2

∴ 2 = a

∵ -7 and a² - b are like terms ⇒ constant terms

∴ -7 = a² - b

∵ a = 2

∴ -7 = (2)² - b

∴ -7 = 4 - b

→ Subtract 4 from both sides

∵ -7 - 4 = 4 - 4 - b

∴ -11 = -b

→ Divide both sides by -1

∴ 11 = b

→ Substitute the values of a and b in the given form

∴ (x + a)² - b = (x + 2)² - 11

∴ x² + 4x - 7 = (x + 2)² - 11

Answer:

185 times

Step-by-step explanation:

Answer:

185 times

Step-by-step explanation:

Just look it up

Answer:

45 pine tree. 5 5.01 - 2, 500 5.3 - 5 equal 80508 15233?. g of product of 3/8 to 8 elements is what technology of a day weather

Explanation:

The probability of rolling a "2" is 1/6

The probability of rolling a "4" is also 1/6

Multiplying those fractions leads to (1/6)*(1/6) = 1/36. We can multiply the probabilities because the events are independent. Each dice roll does not affect any others.

The probability of rolling a 2 the first time and a 4 the second time is 1/36

There are 6 faces on a die.

Of these 6 faces, one of them is 2 and one of them is 4

So, the probabilities of rolling a 2 and a 4 are:

P(2) = 1/6

P(4) = 1/6

The probability of rolling a 2 the first time and a 4 the second time is calculated as follows:

[tex]\mathbf{Pr = P(2) \times P(4)}[/tex]

This gives

[tex]\mathbf{Pr = \frac 16 \times \frac 16}[/tex]

Multiply

[tex]\mathbf{Pr = \frac 1{36}}[/tex]

Hence, the probability of rolling a 2 the first time and a 4 the second time is 1/36

Read more about probabilities at:

https://brainly.com/question/11234923

Answer:

5/10= 1/2            4/12=1/3

3/9= 1/3

Step-by-step explanation:

Answer:

5/10 = 1/2

4/12 = 1/3

3/9 = 1/3

i believe these are the answers

Answer:

75%

Step-by-step explanation:

Given:

Center of hyperbola is at (h,k).

To find:

The standard forms of a hyperbola.

Solution:

We know that, standard forms of a hyperbola are

1. For Horizontal hyperbola:

[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]

2. For Vertical hyperbola:

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]

where, (h,k) is center of the hyperbola.

Therefore, the correct option is B.

Answer:

X= 3.5

Step-by-step explanation:

4(6x-9.5)=46

24x-38=46

X=3.5

If one was to find what 45% of a certain number was, they would have to A-multiply the number by 0.45.

To find the percentage of a number, the following equation applies:

= 45% x Number

45% when written as a decimal is:

= 45 ÷ 100

= 0.45

The equation can therefore be written as:

= 0.45 x Number

In conclusion, 45% of a number can be found by multiplying it by 0.45.

Find out more at https://brainly.com/question/3859567.

Answer:

D

Step-by-step explanation:

her value is greater

Answer:

x=8/3

Step-by-step explanation:

1. 3/2=4/x [Rewrite the eqaution]

2. 3x=8[Cross multiply]

3. x=8/3[Just divide]

Answer:

b > 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

3b + 12 > 27 - 2b

Step 2: Solve for b

Here we see that any value b greater than 3 would work as a solution to the inequality.

Answer:

26

Step-by-step explanation:

13+13=26

Answer:

3rd answer choice

Step-by-step explanation:

The problem says "no more than" so automatically the first and second answer choices are wrong

Now looking at the last choice, it subtracts 5, but 5 shouldn't be subtracted since all of Janet's purchases should be combined. So that just leaves the third choice

Answer:

3y+5 ≤ 17

Step-by-step explanation:

ok so we need she is buying a certain amount of markers but we don't know exactly how many so it would be 3y

we also know that she brought ONE notebook for 5 dollars which is why it would be 3y + 5

because the total amount will soon add up

now the reason it is ≤ 17

is because the symbol "≤" means less than or equal to

she did NOT spend MORE than 17 but we do not know if she spent exactly 17 or less.

Step-by-step explanation:

Taking the provided equation ,

[tex]\implies \dfrac{3x+4}{5}-\dfrac{2}{x+3} =\dfrac{8}{5} [/tex]

1) Here denominator of two fractions are 5 and x +3 . So their LCM will be 5(x+3)

[tex]\implies \dfrac{(x+3)(3x+4)-(2)(5)}{5(x+3)}=\dfrac{8}{5} [/tex]

2) Transposing 5(x+3) to Right Hand Side . And 5 to Left Hand Side .

[tex]\implies 5(3x^2+4x+9x+12 -10) = 40(x+3)[/tex]

3) Multiplying the expressions.

[tex] \implies 5(3x^2+13x+2) = 40x + 120 [/tex]

4) Opening the brackets .

[tex]\implies 15x^2+ 65x + 10 = 40x + 120 [/tex]

5) Transposing all terms to Left Hand Side .

[tex]\implies 15x^2 + 65x - 40x + 10 - 120 = 0 \\\\\implies 15x^2 +25x - 110 = 0[/tex]

6) Solving the quadratic equation .

[tex]\implies 5(3x^2+5x -22) = 0 \\\\\implies 3x^2+13x-22 = 0 \\\\ \implies x = \dfrac{-b\pm \sqrt{b^2-4ac}}{4ac} \\\\\implies x = \dfrac{-5\pm \sqrt{5^2-4(-22)(3)}}{2(3)} \\\\\implies x = \dfrac{-5\pm \sqrt{289}}{6}\\\\\implies x =\dfrac{-5\pm 17}{6} \\\\\implies x = \dfrac{17-5}{6},\dfrac{-17-5}{6}\\\\\implies x = \dfrac{12}{6},\dfrac{-22}{6} \\\\\underline{\boxed{\red{\bf\implies x = 2 , \dfrac{-11}{3}}}}[/tex]

Answer:

[tex]x=2\\x=-\frac{11}{3}[/tex]

Step-by-step explanation:

Solve the rational equation:

[tex]\displaystyle \frac{3x+4}{5}-\frac{2}{x+3}=\frac{8}{5}[/tex]

To eliminate denominators, multiply by 5(x+3) (x cannot have a value of 3):

[tex]\displaystyle 5(x+3)\frac{3x+4}{5}-5(x+3)\frac{2}{x+3}=5(x+3)\frac{8}{5}[/tex]

Operate and simplify:

[tex]\displaystyle (x+3)(3x+4)-5(2)=(x+3)(8)[/tex]

[tex]\displaystyle 3x^2+4x+9x+12-10=8x+24[/tex]

Rearranging:

[tex]\displaystyle 3x^2+4x+9x+12-10-8x-24=0[/tex]

Simplifying:

[tex]\displaystyle 3x^2+5x-22=0[/tex]

Rewrite:

[tex]\displaystyle 3x^2-6x+11x-22=0[/tex]

Factoring:

[tex]\displaystyle 3x(x-2)+11(x-2)=0[/tex]

[tex]\displaystyle (x-2)(3x+11)=0[/tex]

Solving:

[tex]x=2\\x=-\frac{11}{3}[/tex]

Answer:

2.4

Step-by-step explanation:

For one person, it would take 4/5 of an hour (4 divided by 5). Three people would take 12/5 or 2.4 hours because that's just 3*(4/5). Hope this helps!

Answer:

Concept: % Values

Answer: Infinitely many solutions.

Step-by-step explanation:

When looking at the system, it is immediately clear that the second equation is simply the first equation with all terms multiplied by 2. Therefore, there are infinite solutions because these are actually the same exact line when graphed and will always equal each other no matter what the values for x and y are.