Gasoline prices are rising at a rate of 0.5% per month. What is their doubling time? By what factor will prices increase in one year? In six years?

Answer:

money invested at 3% is $4000

Step-by-step explanation:

let the money invested in 3% account be x

then money invested in 5% account = 6000 - x

we know interest = p*r*t/100

p is the principle amount invested

here t = 1 year

interest on 3% money

interest= x*3*1/100 = 3x/100

interest on 5% money

interest= (6000-x)*5*1/100

Total interest earned on both the account

3x/100 + 5(6000-x)/100 = (3x + 30,000 - 5x)/100 =( 30000-2x)/100

given that total interest earned = $220

thus

( 30000-2x)/100 = 220

=> 30000-2x = 220*100= 22,000

=> -2x = 22,000- 30,000

=> x = -8000/-2 = 4000

Thus, money invested at 3% = x = $4000

Answer:)

$4000

Step-by-step explanation:

The value of y will be 90°. The sum of angle of the two right angle is 180°. The property of the adjacent angle is used.

We do same operations on both the sides so that equality of both expressions doesn't get disturbed.

Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are an infinite number of solutions.

The angles subtended by a circle is 360°, then;

The equation is found as;

[tex]\rm 40^0+50^0+x+y+z=360^0 \\\\ x+y+z=270^0[/tex]

The sum of angle of the two right angle is 180°;

x°+40°+50°=180°

x=90°

y+50°+40°=180°

Y=90°

Hence, the value of y will be 90°.

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Answer:  You will need to find the x-intercepts and the vertex

Step-by-step explanation: Use the information in the factors and some formulae.

The x- intercepts are the points where the parabola crosses the x-axis. The x-axis is where y = 0

Set each factor equal to 0 and solve:

x-2=0, so x = +2 and x +4 = 0, so x = -4    (you would plot these if creating the graph)

To find the vertex you need the Vertex Formula: x = -b/2a

b is the coefficient of the x term in the middle of the quadratic equation; you can just do the O and I parts of FOIL to get b:  -2x + 4x = 2x  You know a = 1 because x²  will have the implied (missing)(1).

Put the numbers in the Formula: x = -b/2a   x = -(2)/2(1)  -2/2 = -1  

-1 is the "x-value" of the vertex.  

The y value is the 'c' in the quadratic formula. You get that from the  L part of FOIL   -2 × 4 = -8 .

So, your coordinates for the vertex:  ( -1, -8 )

If you were creating a graph, you would plot that point, then draw the parabola starting there and through the x-intercepts.  

Answer:

You have 9 red marbles, 21 green marbles, and 31 blue marbles.

Step-by-step explanation:

Let r equal the number of red marbles

Let b equal the number of blue marbles

Let g equal the number of green marbles.

"I have 5 less blue marbles than 4 times the red marbles."

4r-5=b

"I have 3 more green marbles than 2 times the number of red marbles."

2r+3=g

" All together I have 61 marbles."

r+b+g=61

Substitute the b and g for 4r-5 and 2r+3

r+(4r-5)+(2r+3)=61

5r-5+2r+3=61

5r+2r-5+3=61

7r-2=61

7r=63

r=9

2r+3=g

2(9)+3=g

21=g

4r-5=b

4(9)-5=b

36-5=b

b=31

You have 9 red marbles, 21 green marbles, and 31 blue marbles.

Let me know if this helps :)

Answer:

There are 9 red, 21 greens and 31 blues

Step-by-step explanation:

Set up equations

Let

R=# red

G=# green

B=# blue

I have 5 less blue marbles than 4 times the red marbles.

B=4R-5 .............(1)

I have 3 more green marbles than 2 times the number of red marbles.

G=2R+3..............(2)

All together I have 61 marbles.

R+G+B=61 ..................(3)

Solution:

substitute (1) & (2) in (3)

R + 2R+3 + 4R-5 = 61

Simplify

7R = 61+2 = 63

R = 63/7 = 9 ..........(4)

Substitute (4) in (1)

B = 4R-5 = 4(9) - 5 = 36-5 = 31

Substitute (4) in (2)

G = 2R+3 = 2(9) + 3 = 18+3 = 21

Answer:

I'd think the first one would be correct. To determine whether or not athletes have an increase in vertical leap when wearing the shoes.

I'm not totally sure but this answer just seems the most correct. It would prove if the manufacturers clam is valid. You would have to other brand and models of shoes. You would also have to test the same kind of shoes ie, gym shoe vrs gym shoe instead of gym shoe vrs flip flop.

You would also have to use the different shoe on the same test group of users/athletes to keep a constant.

Hope I help.

Answer:

3

Step-by-step explanation:

6^2=5^2+b^2

36=25+b

36-25=b

B= square root of 9

B= 3

Answer:

3

Step-by-step explanation:

Answer:

The independent variable is the depth below the surface of the lake the dependent is the tempeature of the water

Step-by-step explanation:

Tempeture = depth x

Answer:

36

Step-by-step explanation:

In the above question, we have been given a rule to follow

Given a * b = ba−ba+ab

We are to find (2*3)×(3*2)

Let simplify each bracket first

a * b = ba−ba+ab

2*3, a = 2, b = 3

2*3 = 3×2 - 3×2 + 2×3

= 6 - 6 + 6

= 6

a * b = ba−ba+ab

3*2, a = 3, b = 2

3*2 = 2×3 - 2×3 + 3×2

= 6 - 6 + 6

= 6

(2*3)×(3*2)

= 6 × 6

= 36

The answer is 36

Answer:

y = 3/4x + 17/4

Step-by-step explanation:

Step 1: Find slope m

m = (5 - 2)/(1 + 3)

m = 3/4

y = 3/4x + b

Step 2: Find b

5 = 3/4(1) + b

5 = 3/4 + b

b = 17/4

Step 3: Rewrite equation

y = 3/4x + 17/4

Answer:

y = 3/4x + 17/9

Step-by-step explanation:

Find the slope:

5 - 2/ 1 - (- 3)

3/ 1 + 4

3/4

Find the y-intercept:

2 = 3/4(-3) + b

2 = -9/4 + b

17/4 = b

Put it in an equation:

y = 3/4x + 17/9

Answer:

Step-by-step explanation:

-11b+7 = 40

Group like terms

That's

- 11b = 40 - 7

- 11b = 33

Divide both sides by - 11

That's

[tex] \frac{ - 11b}{ - 11} = \frac{33}{ - 11} [/tex]

Hope this helps you

Answer:

-3

Step-by-step explanation:

I put this answer and got it correct on Khan

Answer:

A

Step-by-step explanation:

there could be no red cards inside

A binomial random variable is no since the total number of red cards in the deck is unknown at the start of the experiment.

We have to determine whether the card player selects a playing card from a well-shuffled deck of standard playing cards and sees if the card is a red card or not.

He keeps the card, and then makes another selection and sees if the card is a red card or not.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

He continues this process 10 times and counts the total number of red cards that he selects.

We have to determine if it Is a binomial random variable.

There could be no red cards inside.

Therefore, A binomial random variable is no since the total number of red cards in the deck is unknown at the start of the experiment.

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Answer:

5^5

Step-by-step explanation:

Answer:

Hello!

~~~~~~~~~~~~~~~~~~~~~

Your answer would be (D) 25–40

Step-by-step explanation: The largest amount od people is 40 the lowest amount is 35 so to maximize the bars you would want the smallest range.

Thus, (D) is the correct answer.

Answer:

Its D

Step-by-step explanation:

for all the ppl who don't care how they got it

Answer:

t

Step-by-step explanation:

The letter that comes next in the given sequence is K.

The given sequence is F H K N Z.

We need to find which letter comes next in the given sequence.

The pattern followed by the given sequence is they are letters of sounding board consonants.

Therefore, the letter that comes next in the given sequence is K.

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Answer:

65 degrees

Step-by-step explanation:

65 degrees

it is 65 because of the vector relationship: 30 + 100 = 130. 130/2=65 degrees

Answer:

115

Step-by-step explanation:

The total circle is 360 degrees.  The sum of the arcs of the circle is 360

Arc DC = 360 - Arc CB - Arc BC

DC = 360 -30-100

DC =230

Inscribed Angle =1/2 Intercepted Arc

<DBC = 1/2 CD

<DBC = 1/2 (230)

           = 115

Answer:

S(t) = 2 - 0.25 t

Step-by-step explanation:

i am not explaining :> (me being lazy)

Answer:

.33 as a decimal or 33%

Step-by-step explanation:

Divide 1/3 and get .33 as your decimal. To convert to a percentage multiply your decimal by 100. (.33 x 100 = 33 )

Answer:

69

Step-by-step explanation:

Answer:

47.13 for 17 melons

Step-by-step explanation:

We can use a ratio to solve

24.95               x dollars

---------------- = ----------------

9 melons          17 melons

Using cross products

24.95 * 17 = 9x

Divide by 9

24.95 * 17/9 = x

47.127777777 = x

Rounding to the nearest cent

47.13 for 17 melons

Answer:

$47.12

Step-by-step explanation:

We know that 1 box has 9 lemons and each box is $24.95. Therefore, 1 lemon costs 24.95/9 dollars. That leads us to know that 17 lemons cost (24.95/9 * 17). Once we plug that into the calculator and round to the nearest hundreth place, we get $47.12.  

Answer:

24.

Step-by-step explanation:

To solve this question, you might need to do a little math. So, there are four digits, correct? And they cannot be repeated? Well, you can solve this problem by creating the numbers. Here are the ones I came up with:

1234

1324

1432

1342

1243

1423

See? There are 6. You can do the same with these:

2341

2413

2314

2143

2134

2134

These are only half of the expressions. Hopefully this helps you come up with the rest. Best of luck.

Answer:

f(6) = 64

Step-by-step explanation:

f(x) = 2^x

Let x = 6

f(6) = 2^6

     = 2*2*2*2*2*2

    = 64

Answer:

B. 64

Step-by-step explanation:

[tex]f(x)=2^x[/tex]

Plug x as 6 and solve.

[tex]f(6)=2^{(6)}[/tex]

[tex]f(6)=2^6[/tex]

[tex]f(6)=2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]

[tex]f(6)=64[/tex]

We can find roots by setting f(x) = 0 --> x^4 - x^3 - 13x^2 + x + 12 = 0.

Factoring f(x) to make things easier for us gives us (x - 1)(x + 1)(x - 4)(x + 3), which, equal to 0, gives us the ability to set each set of parentheses = 0.

x - 1 = 0 gives us x = 1.

x + 1 = 0 --> x = -1.

x - 4 = 0 --> x = 4.

x + 3 = 0 --> x = -3.

our roots are x = 1, -1, 4, and -3.

Answer:

y = -4

Step-by-step explanation:

x = 3 is a vertical line.

The perpendicular line passes through (0, -4) (x, y)

y = -4

The line is perpendicular, so the line should be also horizontal.

Answer:

y = -4

Step-by-step explanation:

The line x = 3 is a vertical one; any line perpendicular to x = 3 is a horizontal line (which has a zero slope).  

Thus, the desired line is a horizontal one that passes through (0, -4) and is represented by y = -4.

Answer: (C) 9

Step-by-step explanation:

F+V-E = 2

F + 14 - 21 = 2

F = 9

Answer:

m<1= 50 degrees

m<2= 130 degrees

m<3= 50 degrees

m<4= 130 degrees

m<5= 40 degrees

m<6= 30 degrees

Step-by-step explanation:

All of the angles of triangles equal to 180 degrees, so you can solve all of the angles based on that info :)

Step-by-step explanation:

[tex]a)

\\ \frac{a}{x - 1} - \frac{2}{x + 1} = \frac{4}{(x - 1)(x + 1)} \\ \\ \frac{a(x + 1) - 2(x - 1)}{(x - 1)(x + 1)} = \frac{4}{(x - 1)(x + 1)} \\ \\ a(x + 1) - 2x + 2 = 4 \\ \\ a(x + 1) = 4 + 2x - 2 \\ \\ a(x + 1) = 2x + 2 \\ \\ a (x + 1) = 2(x + 1) \\ \\ a= \frac{2(x + 1)}{(x + 1)} \\ \\ \huge \red{ \boxed{a = 2}}[/tex]

Solve b part yourself in the same way.

Answer:

-9ab3a3b-52

Step-by-step explanation:

-8a3b+3a2b2-52+5a2b3a3b+7-9a2b2

-8a3b-6a-52+5a2b3a3b

-14a3b-52+5a2b3a3b

-9ab3a3b-52