You have $1200 to invest into the stock market. You have 2 choices to invest in, but you
must invest all your money into whichever you choose. Option #1 pays you 2.5% interest,
compounded continuously. Option #2 pays you 3.1% interest, compounded semi-monthly.
You are going to invest for 7 years. Find the totals for each option and then decide which
option is the best choice and by how much.
Option 1 gives you
Option 2 gives you
Option
is the better choice because it gives you
more.

Answer:

x = 0.2

Step-by-step explanation:

Distribute the 5 to (2 + x) to make it 10 + 5x = 11. You can rewrite it to make it 5x + 10 = 11 to make it easier if you want but you dont have to. Subtract the ten from both sides to make it 5x = 1. Divide both sides by 5 to get 0.2. If you want to double check your answer you can substitute 0.2 in for x in (2 + x)5 = 11 or in 5x + 10 = 11. It doesn't matter which.

Answer:

D/#4 represents a quadratic that is a perfect square trinominal. :-D

[tex]\huge\bold{To\:find:}[/tex]

✎ The value of [tex]x[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:value\:of\:x\:is\:10°. }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Since it is right angle,

[tex]Sum \: of \: angles \: = 90° \\ ⇢ 2x °+ 7x° =90 ° \\ ⇢9x° = 90° \\ ⇢x° = \frac{90°}{9} \\ ⇢x° = 10°[/tex]

[tex]\sf\blue{Therefore,\:the\:value\:of\:x\:is\:10°.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]2x° + 7x° = 90° \\ ➡ \: 2 \times 10° +7 \times 10° = 90° \\ ➡ \: 20° + 70° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.ඞ}}}}}∘[/tex]

Answer:

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

If JK bisects the angle, the two angles are equal

6x+2 = 8x-6

Subtract 6x from each side

6x-6x+2 = 8x-6x-6

2 = 2x-6

Add 6 to each side

2+6 =2x-6+6

8 =2x

Divide by 2

8/2 =2x/2

4 =x

Now find angle LJM, which is the sum of the two angles

6x+2 + 8x-6

14x -4

14*4-4

56-4

52

Answer:

D) 52

Step-by-step explanation:

since htere is an angle bisector that means that (6x+2) and (8x-6) are equal to each other

so

(6x+2)=(8x-6)

-6x         -6x

2=2x-6

+6    +6

8=2x

/2 /2

x=4

no you plug x back into one of the equations so

6(4)+2=26

now 26x2=52

I think it would be a and f :)

The probability of 3 sunny days in a row is P = 0.512, so the correct option is C.

We know that the probability of rain each day is 20%. Then the probability of a sunny day is 100% - 20% = 80%.

Writing this probability in the decimal form we get 0.8.

Now, to get 3 sunny days in a row, we need to have the probability 0.8 3 times (and remember that the probabilities multiply between them) so the joint probability is:

[tex]P = (0.8)^3 = 0.512[/tex]

To get it in percentage form, we multiply it by 100%.

P = 0.512*100% = 51.2%

So the correct option is C.

If you want to learn more about probability:

https://brainly.com/question/25870256

#SPJ2

Answer:

$1,140

Step-by-step explanation:

Step 1: Set up a fraction and solve (We are doing this to make it simpler to solve. So let us use "x" to represent how much he paid in taxes. )

[tex]\frac{30}{100}=\frac{x}{3680}[/tex]

Step 2: Solve; Divide the given values (The given values are 100 over 30. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 0.3 once divided)

[tex]\frac{30}{100}[/tex]

Cancel both zeros

[tex]\frac{30}{100}\\\\= \frac{3}{10}[/tex]

Divide

[tex]\frac{3}{10}\\\\= 3 \div 10\\\\= 0.3[/tex]

Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)

[tex]0.3\\\\0.3 \times 3680\\\\=1140[/tex]

Therefore, George paid 1140 dollars in taxes last summer.

Answer:

38

Step-by-step explanation:

Complement means that the 2 angles add up to 90 so:

x + 52 = 90

x = 90 - 52

x = 38

Answer:

a)   c)   d)    e)

Step-by-step explanation:

a) cross-products are equal; 24 = 24

c) cross-products are equal; 18 = 18

d) cross-products are equal; 30 = 30

e) cross-products are equal; 24 = 24

Answer:

A. 4/3 = 8/6 C. 3/2 = 9/6 D. 5/3 = 10/6 E. 4/2 = 12/6

Answer:

12 units2

Step-by-step explanation:

(6x4) /2 =12

Answer:

2/3

Step-by-step explanation:

Answer:

         2/3 =   4/6 =   6/9        =  8/12

= 10/15 = 12/18 = 14/21 = 16/24

= 18/27 = 20/30 = 22/33 = 24/36

= 26/39 = 28/42 = 30/45 = 32/48

= 34/51 = 36/54 = 38/57 = 40/60

= 42/63 = 44/66 = 46/69 = 48/72

= 50/75 = 52/78 = 54/81 = 56/84

= 58/87 = 60/90 = 62/93 = 64/96

= 66/99 = 68/102 = 70/105 = 72/108

= 74/111 = 76/114 = 78/117 = 80/120

= 82/123 = 84/126 = 86/129 = 88/132

= 90/135 = 92/138 = 94/141 = 96/144

= 98/147 = 100/150 = 102/153 = 104/156

= 106/159 = 108/162 = 110/165 = 112/168

= 114/171 = 116/174 = 118/177 = 120/180

= 122/183 = 124/186 = 126/189 = 128/192

= 130/195 = 132/198 = 134/201 = 136/204

= 138/207 = 140/210 = 142/213 = 144/216

= 146/219 = 148/222 = 150/225 = 152/228

= 154/231 = 156/234 = 158/237 = 160/240

= 162/243 = 164/246 = 166/249 = 168/252

= 170/255 = 172/258 = 174/261 = 176/264

= 178/267 = 180/270 = 182/273 = 184/276

= 186/279 = 188/282 = 190/285 = 192/288

= 194/291 = 196/294 = 198/297 = 200/300

Answer:

find AC and BC then check multiply their slopes

Given:

A vector from (-3.7,2) to (-4, -5).

To find:

An ordered pair that represents the vector

Solution:

If [tex](x_1,y_1)[/tex] is the initial point and [tex](x_2,y_2)[/tex] is the terminal point of a vector, then ordered pair that represents the vector is:

[tex](x_2-x_1,y_2-y_1)[/tex]

A vector from (-3.7,2) to (-4, -5). So, the ordered pair that represents the vector is:

[tex](x_2-x_1,y_2-y_1)=(-4-(-3.7),-5-2)[/tex]

[tex](x_2-x_1,y_2-y_1)=(-4+3.7,-7)[/tex]

[tex](x_2-x_1,y_2-y_1)=(-0.3,-7)[/tex]

Therefore, the correct option is b, i.e., (-0.3,-7).

Answer:113

Step-by-step explanation:

Answer:

X=-3

Step-by-step explanation:

3x-5x+4=10

-2x=6

x=-3

note:  I wasn’t sure if the equation ended in 10 or 10x. I think it ends at 10 so that is how I solved.

Answer:  sorry i dont know this

Step-by-step explanation:

4 / 2 = 10 / m

2 = 10 / m

m = 10 / 2

m = 5

Answer:

5

Step-by-step explanation:

The ratios are equal to each other

Answer:its A or C

Step-by-step explanation:i hope this helps

Answer:

1. 128

2. 136

3. 128

4. 52

5. 44

6. 136

7. 84

8. 96

9. 96

10. 84

11. 128

12. 52

13. 44

14. 136

15. 52

16. 128

17. 136

18. 44

Answer:

c=1

Step-by-step explanation:

9c+1 = 10

Subtract 1 from each side

9c+1-1=10-1

9c = 9

Divide by 9

9c/9 = 9/9

c = 1

Step-by-step explanation:

Go to the Indian Brainly.

I am Indian.

Answer:

second choice, 3 in³

Step-by-step explanation:

24×1/8=3 in³

Answer:

C. F × 2

Step-by-step explanation:

Twice as many infers multiplication. Since Sophie caught twice as many as her dad, then we would multiply the number of her dad's caught fish by 2. The question states her dad's caught fish is represented by variable F so it would be:

F × 2

Answer:

t = -50/(2 * (-16))

Step-by-step explanation:

For quadratics of the form

y = ax^2 + bx + c

the x coordinate of the vertex is

x = -b / 2a

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

h = -16t^2 +50t + 8

a = -16

b = 50

t at Vertex

t = -50/(2 * (-16))

Answer:

I think the answer is 26

Step-by-step explanation:

In the question it said how many it total so 5 + 12 + 3 + 6 = 26

I hoped this helped!

Sorry if I'm wrong

Answer:

x = 12

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of its opposite interior angles in a triangle

∠CBV is an exterior angle and ∠BCD and ∠CDB are ∠CBV's opposite interior angles

This means that ∠BCD + ∠CDB = ∠CBV

If we are given that ∠CBV = 9x - 3, ∠BCD = 5x + 15 and ∠CDB = 30

Then 9x - 3 = 5x + 15 + 30

                    ^ (Note that we just created an equation we can use to solve

                        for x )

We then use the equation we created to solve for x

9x - 3 = 5x + 15 + 30

step 1 combine like terms

30 + 15 = 45

we now have 9x - 3  = 5x + 45

step 2 add 3 to each side

-3 + 3 cancels out

45 + 3 = 48

we now have 9x = 5x + 48

step 3 subtract 5x from each side

9x - 5x = 4x

5x - 5x cancels out

we now have 4x = 48

step 4 divide each side by 4

48 / 4 = 12

4x / 4 = x

we're left with x = 12

Answer:

30+5x+15=9x-3

9x-5x =45+3

4x=48

x =12

Answer:

The answer is below

Step-by-step explanation:

Let B represent those that like badminton, F represent those that like football and V represent those that like volleyball. Let x represent the total number of people.

n(B) = (1/3)x, n(F) = (3/4)x, n(V) = (5/6)x

n(B∩F∩V) = 20% of x = 0.2x

n(B∩F) = 17, hence n(B∩F∩V') = 17 - 0.2x

n(V∩F) = 60, hence n(B'∩F∩V) = 60 - 0.2x

n(B∩V) = 65, hence n(B∩F'∩V) = 65 - 0.2x

n(B∪F∪V)' = 8

n(B∩F'∩V') = (1/3)x - 0.2x - (17 - 0.2x) - (65 - 0.2x) = 0.533x - 82

n(B'∩F∩V') = (3/4)x - 0.2x - (17 - 0.2x) - (60 - 0.2x) = 0.95x - 77

n(B'∩F'∩V) = (5/6)x - 0.2x - (60 - 0.2x) - (65 - 0.2x) = 1.033x - 125

Therefore:

x = n(B∩F'∩V') + n(B'∩F∩V') + n(B'∩F'∩V) + n(B∩F∩V) + n(B∩F∩V') + n(B'∩F∩V) + n(B∩F'∩V) + n(B∪F∪V)'

x = (0.533x - 82) + (0.95x - 77) + (1.033x - 125) + (0.2x) + (17 - 0.2x) + (60 - 0.2x) + (65 - 0.2x) + 8

x = 2.1166x - 134

1.1166x = 134

x = 120

Therefore there was 120 students

P = 64 cm

2(( x + 14) + x) = 64

2x + 28 + 2x = 64

4x + 28 = 64

4x = 64 - 28

4x = 36

x = 36/4

x = 4

width = 4

lenight = 18

area = l x b

area = 18 x 4

area = 72