Suppose you deposit 2500 in a savings account that pays you 5% interest per year A. How many years will it take for you to double your money? B. How many years will it take for your account to reach 8,000?

Answer:

The cost of one daylily is $10 and the cost of one pot of ivy is $11

Step-by-step explanation:

To solve the question we will form a system of equations

Assume that the cost of 1 daylily is x and the cost of 1 pot of ivy is y

∵ Sumalee spent $93 on 6 daylilies and 3 pots of ivy

→ Multiply x by 6, y by 3, then add the products and equate the sum by 93

∴ 6x + 3y = 93 ⇒ (1)

∵ Scott spent $196 on 13 daylilies and 6 pots of ivy

→ Multiply x by 13, y by 6, then add the products and equate the sum by 196

∴ 13x + 6y = 196 ⇒ (2)

Now we have a system of equations to solve it

→ Multiply equation (1) by -2

∵ -2(6x) + -2(3y) = -2(93)

∴ -12x - 6y = -186 ⇒ (3)

→ Add equations (2) and (3)

∵ (13x + -12x) + (6y + -6y) = (196 + - 186)

∴ x + 0 = 10

∴ x = 10

→ Substitute the value of x in equation (1) to find the value of y

∵ 6(10) + 3y = 93

∴ 60 + 3y = 93

→ Subtract 60 from both sides

∵ 60 - 60 + 3y = 93 - 60

∴ 3y = 33

→ Divide both sides by 3

∴ y = 11

∴ The cost of one daylily is $10 and the cost of one pot of ivy is $11

Answer:

[tex]\frac{11}{42}[/tex] or 26.19%

Step-by-step explanation:

If the range of possible numbers is between 12 and 54 then that means that there are 42 (54 - 12) possible numbers that can be made. In this range, there are 11 prime numbers which are the following...

13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53

Therefore, the probability that the number formed is a prime would be [tex]\frac{11}{42}[/tex] which if we divide and multiply the decimal by 100 we get the probability in percentage form.

[tex]\frac{11}{42}[/tex] = 0.2619

0.2619 * 100 = 26.19%

Finally, we can see that the probability of this happening is 26.19%

Answer:

w=10

Step-by-step explanation:

8.25+1/4w=10.75

8.25+0.25w=10.75

0.25w=10.75-8.25

0.25w=2.5

w=10

I hope this helps

Answer:

C/10

Step-by-step explanation:

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

See attachment for complete question

From the attachment, the parallelogram has two diagonals. And the diagonals of a parallelogram bisect one another.

Because 2x - 1 and 7 are opposite sides of a diagonal; We can say that:

[tex]2x - 1= 7[/tex]

Add 1 to both sides

[tex]2x - 1 + 1 = 7 + 1[/tex]

[tex]2x = 8[/tex]

Divide through by 2

[tex]x = 4[/tex]

Answer:

Shane has 9 sweats now.

Step-by-step explanation:

Given that Shane and Gemma share 35 sweets in the ratio 1:4.

Let the share of Shane be = 'x'

Let the share of Gemma be = '4x'

The combined share of Shane and Gemma = x + 4x = 5x

Total sweets they share = 35

so the equation becomes

5x = 35

x = 7

Thus,

Share of Shane = x = 7

Share of Gemma = 4x = 4(7) = 28

Gemma eats 10 sweets, so she has left with 28-10 = 18 sweets

Gemma gave 2 of the sweets she has left.

As Shane has already 7 sweats, so adding 2 in 7 sweats would make it 9 sweats.

Therefore, Shane has 9 sweats now.

Answer: 3 parrots

Step-by-step explanation:

Answer:

402 7/100

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

10a

Answer:

8

Step-by-step explanation:

Just do 40 divided by 5.

Answer:

The Office

Step-by-step explanation:

Since you're only given the one vector, I assume you're supposed to find the magnitude of v, or ||v||, using the dot product.

We have

v • v = (-2, -1) • (-2, -1) = (-2)² + (-1)² = 5

so that

||v|| = √(v • v) = √(5)

and the answer is C.

Answer:

C

Step-by-step explanation:

just trust

Answer:

n = The number of can collected after lunch

Step-by-step explanation:

Andy, Fergus, Evelyn, and Margaret are collecting cans for recycling.

From the question, the told number rod cans collected before lunch = n

We are told that :

At the end of the day, the total number of cans collected can be represented by the expression 173 + n .

The total number of cans = Number of cans collected before lunch + Number of cans collected after Lunch

Hence:

173 + n = 173 + Number of cans collected after Lunch

Therefore, the variable n = Number of cans collected after Lunch

Answer:

Yes

Step-by-step explanation:

Plug in 4 for x, 5 for y. if it equals, then its a point

5 = -2(4) + 13

5 = -8 + 13

5 = 5

it equals so (4,5) is a point

Answer:

20

Step-by-step explanation:

Answer:

She would have wrapped 20 boxes.

Step-by-step explanation:

You would look at how many boxes she can wrap in 30 mins which is 10. 60 divided by 30 is 2 so you would take 10 and multiply it by 2 to get 20.

Answer:

(y2 - y1)/(x2-x1)

Step-by-step explanation:

if you have 2 points (x1,x2) and (y1,y2), just plug it in the formula for slope m

m = (y2 - y1)/(x2-x1)

Answer:

Pretty sure it would be 15 percent sorry if im wrong

Step-by-step explanation:

Answer:

the square of -5 is 25 not -25

, -4(1)(-3) is 12 not -12 because when we multiply 2 negative numbers their result is positive

+5 should be written instead of -5

Step-by-step explanation:

+5 should be written instead of -5 as the formula is (-b+-(b²-4ac)½)/2a . since b=-5 ;-b=+5

Answer:

See attached image

Step-by-step explanation:

Use the FOIL method

First - multiply the first numbers inside the parentheses (y^2 and -2y)

Outer- multiply the first and last numbers inside the parentheses (y^2 and 7)

Inner - multiply the two numbers next to the closing and opening parentheses (6 and -2y)

Last- multiply the last two numbers in the parentheses. (6 and 7)

Then simplify to put it in standard form.

Answer:

x = 4.5

Step-by-step explanation:

Let's solve this together!

First you would want to multiply 6 and x:

6×2 = 12

x×2 = 2x

Then you would want to subtract 12 from 3:

3+12 = 9

Then divide 9 by 2:

9÷2 = 4.5

That's it!

Hope this helped! :)

Answer:

ummm i firgit

Step-by-step explanation:

I forgot bc well I am dum

Answer:

The answer is 30

Step-by-step explanation:

j+j-5=55

2j=60

=30

Answer:

[tex]x=\dfrac{|-246.875-121.175|}{5}[/tex]

Step-by-step explanation:

Given that:

Same distance is drilled by the oil drilling company for 5 days.

Initial elevation = 121.175 feet

Final elevation = -246.875 feet

To find:

The equation to find the value of [tex]x[/tex] i.e. the distance drilled each day?

Solution:

To find the distance drilled each day, we need to divide the total distance drilled with the number of days taken to drill the total distance.

Total distance drilled can be found by subtracting the initial elevation from the final elevation and taking modulus because distance can not be negative.

Total distance drilled = | Final elevation - Initial elevation |

Total distance drilled = | -246.875 - 121.175 |

Therefore, we can write the expression as:

[tex]x=\dfrac{|-246.875-121.175|}{5}[/tex]

[tex]\Rightarrow x=\dfrac{|-368.05 |}{5} =73.61\ ft/day[/tex]

Answer:

Attached file

Step-by-step explanation:

Answer:

y-5=2(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

Answer:

y=2x-1

Step-by-step explanation:

trust me, it's that

Answer:

Hope this helps you.

Step-by-step explanation:

I posted it.

Answer:

Step-by-step explanation:

2) ∠A + ∠B = 146       {Exterior angle theorem}

5y + 3 + 4y + 8 = 146

5y + 4y + 3 + 8 = 146           {combine like terms}

         9y + 11 = 146

               9y = 146 -11

               9y = 135

                 y = 135/9

y = 15

3) m∠A = 5y + 3

              = 5*15 + 3

              = 75 + 3

∠A = 78

4) m∠B = 4y + 8

            = 4*15 + 8

            = 60 + 8

      m∠B = 68

5) m∠ACB + m∠A + m∠B = 180   {Angle sum property of triangle}

 m∠ACB  + 78 + 68 = 180

           m∠ACB + 146 = 180

                       m∠ACB = 180 - 146

                      m∠ACB = 34

Answer:

54

Step-by-step explanation:

So If this tells you what 'm' and 'n' are, you just put them inside.

First do the M so then it will be 5 * 10 which is 50 then we just first leave it there.  Then we start putting in that N. We know that N is 4. Then it's N to the power of 2. I recommend since there's already a 4 on the bottom, just do 4 * 4 there. Then you see there is a 4 on the denominator while there are double 4's on the numerator. Then you just cross one 4 on the denominator and one on the numerator to simplify it.

Then all there is is 50 + 4 = 54

So 54 is our answer.

Answer:

Step-by-step explanation:

10m + n^2/4           (m=5 , n=4)

(10*5) + (4^2/4) =

50 + 4 =

54

Answer:

0,0

Step-by-step explanation:

The point Q was rotated about the origin (0,0) by -45 degrees, so the new coordinate point is (√2, 4√2).

From the given graph, the coordinates of point Q are (-3, 5).

Rotating the co-ordinate axes through an angle of 45° in anti-clockwise direction is equivalent to rotating the point through an angle of -45° about origin.We will use rotation from complex numbers to solve this.

Let x + iy the new complex number

(-3+5i)[tex]e^{\frac{-\pi i}{4} }[/tex]

= (-3+5i)((1-i)/√2)

= (-3+5i)(1-i) ×1/√2

= (-3+5i+3i-5i²) ×1/√2

= (-3+8i+5) ×1/√2

= (2+8i) ×1/√2

= (2/√2 + 8i/√2)

= (√2 + 4√2i)

So, the coordinates are (√2, 4√2)

Therefore, the point Q was rotated about the origin (0,0) by -45 degrees, so the new coordinate point is (√2, 4√2).

Learn more about the rotation here:

brainly.com/question/1571997.

#SPJ4

Answer:

https://brainly.com/question/11428290

Step-by-step explanation:

You can go to this webpage and see if you find what you are looking for. :)

250 ft.

3ft 4in = 4ft 6in - 1ft 2in.

i dunno how to explain it any better. lol sorry.

Answer:

5 months

Step-by-step explanation:

One cellphone provider charges AED10 per month plus an activation fee of AED20.

If I used the services of this cellphone provider for x months, total charges for the services,

y = 10x + 20 --------(1)

Similarly, charges for the second cellphone provider for x months of uses will be,

y = 11x + 15 -------(2)

Input-output table for equation (1)

x      1           2            3            4            5

y     30        40         50          60          70

Input output table for equation (2)

x      1           2            3            4            5

y     26        37          48          59         70

From these tables, we find (5, 70) is a common point for both.

It reveals that after the uses of 5 months charges for both the cellphone providers will be same (y = $70)

Answer:

(4t - 8/5) - (3 - 4/3t) = 16/3t - 23/5

5(2t + 1) + (-7t + 28)= 3t+33

(-9/2t +3) + (7/4t + 33) = -11/4c+56

3 (3t-4) - (2t + 10)= 7t -22

Sooo Sorry that it took soooo long! Hope this helps!!!

Happy holidays!!