How much money invested at 5% compounded continuously for 3 years will result in $852

Answer:

×=8/3 and y=4/3

Step-by-step explanation:

-x-y=-4

-2x+4y=0

-2x=-4y

x=2y

so -2y-y= -4 and x= 2•4/3

-3y=-4 x=8/3

y=4/3

Answer:

Step-by-step explanation:

Given that Jared made [tex]12\frac{3}{4}[/tex] cups of snack mix for a party.

Let x be the cups of snacks mix made by Jared.

Therefore  [tex]x=12\frac{3}{4}[/tex]

His guests eat [tex]\frac{2}{3}[/tex] of the mix.

Let y be the guest eated snacks mix

Therefore [tex]y=\frac{2}{3}[/tex]

Let z be the number of snacks did Jared's guest eat

Therefore z=x-y

[tex]z=12\frac{3}{4}-\frac{2}{3}[/tex]

[tex]=\frac{51}{4}-\frac{2}{3}[/tex]

[tex]=\frac{51(3)-2(4)}{4\times 3}[/tex]

[tex]=\frac{153-8}{12}[/tex]

[tex]=\frac{145}{12}[/tex]

[tex]=12\frac{1}{12}[/tex]

Therefore [tex]z=12\frac{1}{12}[/tex]

Answer:

$.18 per kilowatt hour

Step-by-step explanation:

To find the rate per kilowatt hour

Take the price and divide by the kilowatt hours

218.85/1214

.180271829

Since this is money,we round to the nearest cent

$.18 per kilowatt hour

The measure of angle E is 75°.

Solution:

Given data:

∠E = 5x, ∠F = 7x – 13 and ∠R = –2 + 6x

A quadrilateral inscribed in a circle is called cyclic quadrilateral.

∠R and ∠G are opposite angles in a cyclic quadrilateral.

In cyclic quadrilateral, opposite angles are supplementary.

⇒ m∠R + m∠F = 180

⇒ –2 + 6x + 7x – 13 = 180

⇒ 13x – 15 = 180

Add 15 from both sides of the equation, we get

⇒ 13x = 195

Divide by 13 from both sides of the equation, we get

⇒ x = 15

To find the measure of angle E:

m∠E = 5x

m∠E = 5(15)

m∠E = 75

The measure of angle E is 75°.

Answer:

Answer is option c) 118 degrees

Step-by-step explanation:

[tex]the \: exterior \: angle \: is \: equal \: to \: the \: \\ sum \: of \: the \: opposite \: interior \: angles \\ by \: using \: this \: concept \: \: we \: find \: that \\ angle \: abc \: is \: 118 \: degrees.[/tex]

If you have any doubts see the image. or write in comments box.

HAVE A NICE DAY !

Answer:

the answer is d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

cost of one brownie is $1.60

Step-by-step explanation:

$80 from selling 50 brownies

we can create a ratio

80     :    50

x       :      1

we can use cross multiplication to solve this:

80 = 50x

80/50 = x

x = $1.60

Answer: $358.8 to the nearest tenth

Step-by-step explanation:

Compound interest is calculated by Where: A = P(1 + r)t

Where P= 300, r= 12% = 0.12, t= 1.5 years

Slot in the figures

300 (1 + 0.12) 1.5

300 (1.12) 1.5

300x 1.12

336e1.12

A = $ 358.84

Answer:

96y/z + 8x/z

Step-by-step explanation:

hope this helped

C) $12,000

4/5 = 9600

÷4

1/5 = 2400

4/5 + 1/5 = 5/5 = the whole price

9600 + 2400 = 12000

=$12,000

Answer:

1/(810pi) cm/s

Step-by-step explanation:

V = pi×r²×h = pi×90²×h = 8100pi×h

dh/dt = dh/dV × dV/dt

dV/dh = 8100pi

dV/dt = 10

dh/dt = (1/8100pi) × 10

= 1/(810pi) cm/s

Final answer:

To find the number of ways to form a committee of 9 women and 4 men from a group of 13 women and 8 men, calculate the combinations separately for women and men, and multiply them together. The answer is 50,050 ways. So the correct option is A.

Explanation:

The question involves calculating the number of ways to choose a committee consisting of 9 women from a group of 13 women, and 4 men from a group of 8 men. This is a problem that requires knowledge of combinations, a concept in probability and statistics.

Step-by-step solution:

Now, using the combination formula:

After calculating, we find that the number of ways to form the committee is 50,050, which corresponds to option (A).

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{2}{8}=\dfrac{2\div2}{8\div2}=\boxed{\bf{\dfrac{1}{4}}}}}[/tex]

[tex]\mathsf{Rewrite\ \dfrac{1}{4}\ as\ ratio\ and\ that\ will\ be\ your\ answer!}[/tex]

[tex]\mathsf{\dfrac{1}{4}=\bf{1:4}}[/tex]

[tex]\boxed{\boxed{\bf{Your\ answer: \boxed{\huge\text{\bf{1:4}}}}}}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}\\\\\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Answer:

15 chaperones

Step-by-step explanation:

It takes 2 seconds to reach a maximum height of 69 feet, and the range is [5, 69].

The equation is of the form

h(t) = -16t² + v₀t + h₀, where -16 is the gravitational constant, v₀ is the initial velocity, and h₀ is the initial height.  Using the values from our problem, we have:

h(t) = -16t² + 64t + 5

To find the maximum height, we find the vertex.  The first step in this is to find the axis of symmetry, which is given by -b/2a:

-64/2(-16) = -64/-32 = 2

This is our value for t, so it takes 2 seconds to reach the maximum.  Substituting this into our function, we have

h(2) = -16(2²) + 64(2) + 5 = -64 + 128 + 5 = 64 + 5 = 69

This is the maximum height.

The range of heights goes from 5 to 69, inclusive, or [5, 69].  

The T-Shirt reaches its maximum height of 104 feet at 2.5 seconds. The range of the height over time is from 4 feet to 104 feet.

To analyze the projectile motion of the T-Shirt, we'll use the kinematic equations. The height h(t) at any time t can be modeled by the equation:

h(t) = -16t2 + v0t + h0

where:

1. Time to reach maximum height:

To find the time to reach maximum height, we use the formula for the time at which the velocity becomes zero:

t = v0 / g

t = 80 ft/s / 32 ft/s2 = 2.5 s

2. Maximum height:

Now, substituting t = 2.5 s into the height equation, we get:

h(2.5) = -16(2.5)2 + 80(2.5) + 4

h(2.5) = -100 + 200 + 4 = 104 feet

3. Range of the height function:

The T-Shirt starts at 4 feet, reaches a maximum of 104 feet, and is caught at 35 feet. Hence, the range of the height function is [4, 104] feet.

Answer:

7^6

and

7⋅7⋅7⋅7⋅7⋅7/1

Step-by-step explanation:

Hope this helps! It would be better for me to see the selections though.

Answer:

A - 7^8/7^2
C - (7^2)^3

Step-by-step explanation:

So there's a question exactly like this on khan, so here's the khan answer
Don't worry I tested it

Answer:

90-30=60

Step-by-step explanation:

Was

Answer:

hypotenuse is 6 square root of 3 and short leg is 3 square root of 3

Step-by-step explanation:

Answer:

(x+3)(x−5)

Step-by-step explanation:

to factor, simply just think of what two numbers multiplied together would give you -15 but added together give you -2. since the produce is negative, you know one number is positive, and one is negative, and since the sum is also negative, you know that the larger root is negative

Hope this will help u..☝✌✌

Answer:

y=(x^2 -1)(x^2 +1)(x^2 -4)(x^2 -5)(x +5)(x -4)

sry, but i didn't want to multiply it out. T-T

Answer:

32x+48

Step-by-step explanation:

All that is needed to be done here is to multiply each digit inside the bracket by 8. We can even expand it to make it simpler to understand.

8(4x)+8(6)

8(4x)=32x

8(6)=48

We therefore have as our answer

32x+48

Answer: D

Step-by-step explanation:

Total tickets sold is $779

Calculate the options to get the right answer.

Option D is correct at

81 students at $4 = 324

65 adults at $7= 455

Total is $ 779

Answer:

A x=3.1

Step-by-step explanation:

1/2(4x+6)=-5x+24.7

Multiply each side by 2 to get rid of the fraction

2*1/2(4x+6)=2(-5x+24.7)

4x+6 = -10x +49.4

Add 10x to each side

4x+6+10x=-10x+10x+49.4

14x +6 = 49.4

Subtract 6 from each side

14x+6-6 = 49.4-6

14x = 43.4

Divide each side by 14

14x/14 = 43.4/14

x = 3.1

Answer:

1. A

2. 128°

3. 112°

4. 20°

5. 125°

6. 35°

7. 158°

8. 140°

9. B

10. C

The value of x is 10.

Solution:

Given triangle is a right triangle.

θ = 50°, adjacent side = 6, hypotenuse = x

The value of cos 50° = 0.6

Using trigonometric ratio formulas,

[tex]$\cos \theta=\frac{\text { Adjacent side of } \theta}{\text { Hypotenuse }}[/tex]

[tex]$\cos50^\circ=\frac{6}{x}[/tex]

[tex]$0.6=\frac{6}{x}[/tex]

Do cross multiplication, we get

[tex]x\times 0.6=6[/tex]

Divide by 0.6 on both sides, we get

[tex]$\frac{x\times 0.6}{0.6}=\frac{6}{0.6}[/tex]

x = 10

The value of x is 10.

Hope this will help u...☝✌✌✌✌

Answer:

The slope is -1/2 which is Option B

Step-by-step explanation:

A line that is perpendicular to another has the slope that has the sign reversed and is the reciprocal.

Example:  Find the line perpendicular to y = 3x

First, you flip the sign which makes 3 into -3

Next, you make the reciprocal which makes -3 into -1/3

Problem: Find the line perpendicular to y= 2x + 5

First, you flip the sign which makes 2 into -2

Next, you make the reciprocal which makes -2 into -1/2

Answer:  The slope is -1/2 which is Option B

The slope of a perpendicular line is the opposite reciprocal of the slope of the original line.

Opposite → -2

Reciprocal → -1/2

Therefore, the answer is -1/2

Best of Luck!

Answer:

D. 12:11pm

(10:05am + 3hrs 6mins = 1:11pm - 1hr = 12:11pm)

Final answer:

After accounting for the flight duration of 3 hours and 6 minutes and the one-hour time difference due to the Central Standard Time Zone, Doris will arrive in Houston at 12:11 p.m. local time.

Explanation:

Doris is taking a flight from New York to Houston, and we need to calculate the local time of her arrival in Houston after a 3-hour-6-minute flight. To find the answer, we must account for the time zone difference and the duration of her flight. New York is in the Eastern Standard Time Zone, while Houston is in the Central Standard Time Zone, which is one hour behind New York.

Starting from a departure time of 10:05 a.m. in New York, we first add the flight duration which is 3 hours and 6 minutes. This gets us to 1:11 p.m. New York time. Since Houston is one hour behind New York, we subtract one hour from this time to get the local time in Houston, which will be 12:11 p.m.

The correct answer is D. 12:11 p.m. This is the time Doris will arrive in Houston, local time.

Answer:

can you reupload the photo? so I can help.

Step-by-step explanation:

Answer:

Note that for graph, Y = mx + c, where m = slope of graph and c = y-intersect

1) equation of line: y = [tex]-\frac{3}{4} x[/tex] + 4         ∴ m = -3/4 ,  c = 4

2) equation of line: y = [tex]\frac{3}{2} x[/tex] + 3              m = 3/2 ,   c = 3

3) equation of line: y = [tex]-\frac{2}{5} x[/tex] - 2            m = -2/5 ,  c = -2

4) equation of line: y = [tex]\frac{1}{2} x[/tex] + 3              m = 1/2 ,     c = 3

5) equation of line: y = -x + 2               m = -1 ,       c = 2

6) equation of line: y = [tex]-\frac{5}{2} x[/tex] - 1             m = -5/2 ,   c = -1

Step-by-step explanation:

For each of the line equations, "m" is the slope which is also dy/dx. Also the intersect "c" is on the y axis(Vertical line).

For each equation, assume a number for 'x' then solve for y.... you will be able to get coordinates (x,y) for each graph.

Using 1) as example:

1) equation of line: y = [tex]-\frac{3}{4} x[/tex] + 4         ∴ m = -3/4 ,  c = 4

at intersection 'c', y = 4, when x = 0

∴ y = -3/4 (1) + 4  = [tex]3\frac{1}{4}[/tex]

repeat for x = 2, 3, 4, 5, 6

Do same for equation line 2, 3, 4, 5, 6 to get coordinates to plot each graph