You want to deposit $1000 in a savings account for 3 years. One bank
adds a $100 bonus to your principal and offers a 2% simple annual
interest rate. Another bank does not add a bonus, but offers 6% simple
interest per year. Which bank should you choose? Explain.

Answer:

I JUST DID IT ITS 5.

Answer:

5

Step-by-step explanation:

D: 2/7

The probability of an event x is how likely the event will occur. It is given as;

P(x) = number of expected outcomes / number of possible outcomes

Given:

Event A = The place is a city.

Therefore,

P(A) is the probability that the event A happens. i.e the probability that a place is a city.

P([tex]A^c[/tex]) is the probability that the event A does not happen. i.e the probability that a place is not a city

Also,

The sum of the probability that an event happens and the probability that the event does not happen is equal to 1. i.e

P(A) + P([tex]A^c[/tex]) = 1

From the table,

P([tex]A^c[/tex]) is found by counting the number of places that does not have a tick on the "is a city" column, then divide the result by the total number of places. i.e

P([tex]A^c[/tex]) = 2 ÷ 7

P([tex]A^c[/tex]) = 2/7

Therefore P([tex]A^c[/tex]) which is the probability that the place is not a city is 2/7

Answer:

Put 4 in the place of x then you'll get

[tex] \frac{10}{22} [/tex]

Answer:

[tex]\frac{5}{11}[/tex]

Step-by-step explanation:

→ Substitute 4 for x

[tex]\frac{4^{2}-6 }{(3*4)+10} =\frac{16-6}{12+10} =\frac{10}{22} =\frac{5}{11}[/tex]

Answer:

170 books

Step-by-step explanation:

Each book equals 10 books. So 17x10 equals your answer! (170)

Good luck to you!

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The desired expression can be expanded to the sum of products form ...

  A ∧ ¬(B ∧ C) = (A∧¬B) ∨ (A∧¬C)

It will only be true when A is true and one of B or C is false.

Answer:

0.757... (recurring)

Step-by-step explanation:

5                 10                     50

_       x         _           =          _

6                 11                       66

50/66 = 0.757...

:D

Answer:

50/66

Step-by-step explanation:

[tex](\frac{5}{6})(\frac{10}{11}) = \frac{50}{66}[/tex]

Have a great day!

Answer:

A ≈ 26.6° (nearest tenth)

Step-by-step explanation:

The diagram shows a right triangle. To solve for A, we would apply trigonometric ratio formula.

Reference angle = <A

Opposite = 6 m

Adjacent = 12 m

Apply TOA

Tan A = Opp/Adj

Substitute

Tan A = 6/12

Tan A = 0.5

A = [tex] Tan^{-1}(0.5) [/tex]

A ≈ 26.6° (nearest tenth)

mid point =((4+(-4))/2,(-5+5)/2)

=(0,0)

The midpoint between the points (4, -5) and (-4, 5) is (0, 0).

To find the midpoint between two points ([tex]x_1, y_1[/tex]) and ([tex]x_2, y_2[/tex]), you can use the midpoint formula:

Midpoint = [tex]((x_1+ x_2)/2, (y_1+ y_2)/2)[/tex]

In this case, the two points are (4, -5) and (-4, 5).

So, the midpoint using the formula:

[tex]x_1[/tex] = 4

[tex]y_1[/tex] = -5

[tex]x_2[/tex]= -4

[tex]y_2[/tex] = 5

Midpoint

= ((4 + (-4)) / 2, (-5 + 5) / 2)

= (0 / 2, 0 / 2)

= (0, 0)

Therefore, the midpoint between the points (4, -5) and (-4, 5) is (0, 0).

Learn more about midpoint here:

https://brainly.com/question/24089949

#SPJ2

Answer:

1/52

Step-by-step explanation:

theres 52 cards and there is only one three of squares so there is a 1/52 chance

Answer:

3/52

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the first sentence x (the number) is 2 more than another number (y). So, x+2=y. The sum of the squares of the two numbers is 42, meaning that [tex]\\ (x+2)^{2}[/tex]+[tex]y^{2}[/tex]=42. First, we square root the ENTIRE equation to get rid of the square. If you do one thing to one side, you have to do it to the other. After this, we have x+2+y=[tex]\sqrt{42}[/tex]. Now, we subtract 2 from the other side to isolate the variable. You can isolate either one but normally I go for x. Now we have x+y=[tex]\sqrt{42}[/tex]+2. Now, we want to get y to the other side so we subtract it from the left side and the right side which gives us x=-y+[tex]\sqrt{42}[/tex]+2. now we know what X is equal to. Now we plug in x for [tex]\\ (x+2)^{2}[/tex]+[tex]y^{2}[/tex]=42, which gives us          [tex](-y+\sqrt42}+2+2)^{2}[/tex]+[tex]y^{2}[/tex]=42. Now we only have one variable which is what we want. Next, we square root the entire thing to get rid of the squares, which gives us -y+[tex]\sqrt{42}[/tex]+4+y=[tex]\sqrt{42}[/tex]. I got lost in my work. I must have done something wrong I cant find out. If anyone wants to pick up where I left off go ahead but there's a timer and I have one minute left. I cant finish the problem in a minute. I'm sorry and hopefully I lead you somewhere.

Answer:

x ≤ 6.25

Step-by-step explanation:

8x + 10  ≤  60

Subtract 10 from both sides

8x ≤ 50

Divide both side by 8

x ≤ 6.25

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

9514 1404 393

Answer:

  (f-g)(x) = 2x^3 +5x^2 -8x -4

Step-by-step explanation:

  (f -g)(x) = f(x) -g(x)

  (f -g)(x) = (2x^3 +5x^2 -6x -7) -(2x -3) = 2x^3 +5x^2 -6x -7 -2x +3

  (f -g)(x) = 2x^3 +5x^2 -8x -4

30% fewer mysteries means it has 70% of the quantity of science fiction:

Mysteries = 120 x 0.70 = 84

They have 84 mystery books.

They have 25 % more biographies than mysteries:

Multiply the number of mysteries by 1 + 25%:

84 x 1.25 = 105

They have 105 biographies

Answer:

0.75

Step-by-step explanation:

d = FE = 4

e = DF = 3

f = ED = 5

f/sin(F) = e/sin(E)

5/sin(90) = 3/sin(E)

5 = 3/sin(E)

sin(E) = 3/5 =0.6

E = asin(0.6) = 36.869898... degrees

tan(E) = tan(36.869898...) = 0.75

Answer:

7 5/8

Step-by-step explanation:

5+2= 7 3/8+2/8=5/8 7+5/8=7 5/8

Answer:

10

Step-by-step explanation:

Plug in 0 where x is

See image below:)

Answer:

17.5 cards

Step-by-step explanation:

11 x 1.5 = 16.5

16.5 + 11 = 17.5 cards

Answer:

110

Step-by-step explanation:

Let us take Jack cards as x

Then Mark cards will be 1.5 * x

Mark gives 11 cards to Jack...the equation is

1.5 * x  - 11 = x + 11

Adding +11 on both sides

1.5*x -11 + 11 = x + 11 + 11

1.5*x = x + 22

Subtracting x on both sides

1.5*x - x = x + 22 - x

.5*x = 22

x = 22 * 1/.5 = 220/5 = 44

Now go back to the initial equation

Mark >> 1.5  * x = 66

Jack  >> 1 * x = 44

Total >> 110.

Answer:

7x+12y<350

Step-by-step explanation:

7 times each small dog (x) plus 12 times each large dog (y) needs to be less than (<) 350

Answer:

Statistical error is the difference between the estimated or approximated value and the true value.  

Two Possible Types of Statistical Error

Type I Errors occur when we reject a null hypothesis that is actually true; the probability of this occurring is denoted by alpha (a).

Type II Errors are when we accept a null hypothesis that is actually false; its probability is called beta (b).

Example

You test whether a new drug intervention can alleviate symptoms of an autoimmune disease.

A Type I error happens when you get false positive results: you conclude that the drug intervention improved symptoms when it actually didn’t. These improvements could have arisen from other random factors or measurement errors.

A Type II error happens when you get false negative results: you conclude that the drug intervention didn’t improve symptoms when it actually did. Your study may have missed key indicators of improvements or attributed any improvements to other factors instead.

Given:

Consider the below figure attached with this question.

In circle A below, chord BC and diameter DAE intersect at F.

The arc CD = 46° and arc BE = 78°.

To find:

The measure of angle BFE.

Solution:

According to intersecting chords theorem, if two chords intersect inside the circle then the angle on the intersection is the average of intercepted arcs.

Using intersecting chords theorem, we get

[tex]m\angle BFE=\dfrac{1}{2}(m(arcCD)+m(arcBE))[/tex]

[tex]m\angle BFE=\dfrac{1}{2}(46^\circ+78^\circ)[/tex]

[tex]m\angle BFE=\dfrac{1}{2}(124^\circ)[/tex]

[tex]m\angle BFE=62^\circ[/tex]

Therefore, the measure of angle BFE is 62°.

Answer:

4.78

Step-by-step explanation:

1202.17/251.5 = 4.78

4.78 per unit

Answer:

$4.78 per square foot

Step-by-step explanation:

Find the unit cost by dividing the total cost by the number of square feet:

1,202.17/251.5

= 4.78

So, the unit cost is $4.78 per square foot

Answer:

I do not know the equations given but here's my equation and solution:

9x = 174°

x = 19 1/9°

Step-by-step explanation:

(3x + 2) + 2(3x + 2) = 180°

3x + 2 + 6x + 4 = 180°

9x + 6 = 180°

9x = 174°

x = 19 1/9

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

D- The new graph would be steeper than the original graph, and the y- intercept would shift up 3 units.

The purple line is y=-5x + 2

The pink line is y = -7x + 5

Answer:

log y = 3

Step-by-step explanation:

Substitute 10 for x, obtaining the following:

log y = 0.23(10) + 0.8, or

log y = 2.3 + 0.8, or 3.10, or (to the nearest whole number):

log y = 3

Answer:

Hey there, Lets solve this step by step.  

A number t divided by 82  

Let the number be represented by y.  

t divided by 82 = t / 8  

Therefore-  

In algebraic expressions, "y" is normally used as the dependent variable and "x" is normally used as the independent variable, instead of other variables. So that is why i used the variable y in the equation.

Step-by-step explanation:

Answer:

1/3 & option 1

Step-by-step explanation:

24) you are given the angle of red, and a circle is 360 degrees in all so:

red/full circle = 120/360 = 1/3

8) option 1 = a^2 + b^2 = c^2

Answer:

24)1/3

8)option 1

Step-by-step explanation:

1○=360°

120°/360°=1/3

a2+b2+=c2

Answer:

1/2

Step-by-step explanation:

Every time clock moves 1 (like for example it move from 3 to 4) 1/8 it covers

3->4->5->6->7 => 1/8+1/8+1/8+1/8 => 4/8 => 1/2