You deposit $100 in an
account that pays an
annual rate of 4%. How
much is in the account
after 12 years?

Answer:

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

7

−

1

8

=

0

5x^{2}-7x-18=0

5x2−7x−18=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

7

b={\color{#e8710a}{-7}}

b=−7

=

−

1

8

c={\color{#129eaf}{-18}}

c=−18

=

−

(

−

7

)

±

(

−

7

)

2

−

4

⋅

5

(

−

1

8

)

Step-by-step explanation:

The solutions to the quadratic equation 5x² - 7x - 18 = 0 are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].

Given the quadratic equation in the question:

5x² - 7x - 18 = 0

Compared to the standard form ax² + bx + c = 0:

a = 5, b = -7 and c = -18

To find the solutions to the quadratic equation, we use the quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}[/tex]

Plug in the values and simplify:

[tex]x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}[/tex]

Therefore, the values of x are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].

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Answer:

hello your question has some missing information attached below is the missing information

answer :  112 black balls

Step-by-step explanation:

Given data:

Each bag contains ; 10 balls

Total number of ball = 100 balls

first: calculate the number of Black balls to be picked from the three bags

From bag 1 = 0.4 * 0.35 * 10 = 1.4 balls

From bag 2 =  0.8 * 0.45 * 10 = 3.6 balls

From bag 3 = 0.3 * 0.2 * 10 = 0.6 ball

Total black balls picked = 5.6

∴ percentage of black balls picked given that each bag contains 10

5.6 / 10 * Total balls available  =  56 balls = 56% of 100 balls

Hence If the player plays this game 200 times the number of black balls he will pick = 56% * 200 =  112 balls

Answer:

first angle= 91°. second angle=89°.

Answer:

There are a lot of expressions that are equivalent to that, please be more specific.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

5^2 + b^2 = 13^2

25 + b^2 = 169

169-25= 144

take the square root of 144

answer: 12

Answer: $49,305.56

Step-by-step explanation:

A(t)=a(1+r)^t (its subtraction if the thing decreases)

A(t)=amount after t time periods

t=number of time periods

a=initial amount

r=rate of growth (can’t be a percent, change by moving two decimal places)

A(t)=32000(1+0.155)^3

Answer:

3 cents

Step-by-step explanation:

cost of  20 markers=$6

cost of 1 marker=?

Cost of 1 marker = 6/20 = 3/10 = 0.3

It costs 3 cents.

Answer:

Step-by-step explanation:

As here,

3 cm + 6 cm = 9cm. = 9cm

And as we know,

According to Triangle Inequality Property,

Measurement of any two sides of a triangle is always greater than the third side.

But here,

Sum of two sides is same as the third side,

So,

Option D is the required answer.

Answer:

Step-by-step explanation:

The nth term:  [tex]a_n=a_1+d(n-1)[/tex]

So:

    a₄ = a₁ + 3d

18 =  a₁ + 3d   ⇒   3d =  18 - a₁

    a₇ = a₁ + 6d

39 = a₁ + 6d

39 = a₁ + 2(18 - a₁)

39 = a₁ + 36 - 2a₁

39 = 36 - a₁

a₁ = -3

3d = 18 - (-3)

3d = 21

d = 7

So the nth term:

                            [tex]a_n = -3 + 7(n-1)\\\\a_n=-3 +7n - 7\\\\a_n = 7n - 10[/tex]

Answer

measure of angle A: 28 degrees

BC ≈ 13.3

BA = 28.3

hope this helps

Step-by-step explanation:

angle A

90- 62 = 28

angle A = 28

BC

tan (A) = BC / 25

(25) tan 28 = BC / 25 (25)  multiply 25 on both sides to cancel it out from BC

13.292735 = BC

BC ≈ 13.3

BA

BA^2 = 13.3^2 + 25^2  Pythagorean theorem

BA ≈ 28.3

If any of these are wrong, just follow the steps and make sure to use Ans in the calculator instead of rounding your numbers! Good luck :)

Answer:

7 degrees

Step-by-step explanation:

90-83=7

Answer:

7 degrees

Step-by-step explanation:

complementary angles are equal to 90

Answer:

C

Step-by-step explanation:

The question states he wants to show the relationship between the trees ages and the number of apples they produce.

Answer:

41.51

Step-by-step explanation:

cos(41)=x/55

x=cos(41)*55≈41.51

i think the answer is option b

Answer:

2.9 per second

Step-by-step explanation:

Answer:

the slope of both lines are the same.

Step-by-step explanation:

Given the following segment of the Quadrilateral EFGH on a coordinate  Segment FG is on the line 3x − y = −2,

segment EH is on the 3x − y = −6.

To determine their relationship, we can find the slope of the lines

For line FG: 3x - y = -2

Rewrite in standard form y = mx+c

-y = -3x - 2

Multiply through by-1

y = 3x + 2

Compare

mx = 3x

m = 3

The slope of the line segment FG is 3

For line EH: 3x - y = -6

Rewrite in standard form y = mx+c

-y = -3x - 6

Multiply through by-1

y = 3x + 6

Compare

mx = 3x

m = 3

The slope of the line segment EH is 3

Hence the statement that proves their relationship is that the slope of both lines are the same.

The slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

The slope of the line segment FG can be found by comparing the equation with the equation of the line. Therefore,

y = mx + c

-2 = 3x - y

- 2 - 3x = -y

y = 3x + 2

Thus, the slope of the equation is 3.

The slope of the line segment EH can be found by comparing the equation with the equation of the line. Therefore,

y = mx + c

3x - y = -6

-y = 6 - 3x

y = 3x+6

Thus, the slope of the equation is 3.

Since the slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.

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Answer:

D

Step-by-step explanation:

She ate 240 in 6 days or 40/day

So she would eat 120 in 3 days (40x3)

Answer:

D) 120 grapes in 3 days

Step-by-step explanation:

240/6 = 40 per day

80 in 2 days

120 in 3 days

Answer:

The question which ask to select among the choices the equation that Alejandria should write to represent the new line where as the equation she wrote is y-3=x-10 and the answer would be that the form in this equation is y=x-13 and if the slope is 2 then it is y=2x-13

Step-by-step explanation:

plz mark me as brainliest

Answer:

The answer is C

Step-by-step explanation:

5(-8) is equal to -40 and -40 minus 2 would give you -42

You could try it with the others if you want

Answer:

The answer is C

Step-by-step explanation:

to find slope do

-42 - (-17) = -25

and

-8 - (-3) = -5

then

-25/-5 = 5 as the slope

to find the y-intersept look where x = 0

so the y-intersept is -2

linear equation is y=mx+b

m = slope

b = y-intersept

so y = 5x - 2

Answer:

40 mph

Step-by-step explanation:

160÷4 = 40 miles per hour

Answer:

40miles per hour

Step-by-step explanation:

distance traveled/time spent=speed(velocity)

160/4=speed (velocity)

40mph

Answer:

The minumum value is the Smalles numer.

Step-by-step explanation:

Minumum= Lowest number

Maximum= Highest number

Range= Minumum and Maximum multiplied/added togheter.

IQR= Interquartile range

Answer:

b = √(c² + a²)

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

Step-by-step explanation:

F( x ) = 5 (3) ^ x

Y intercept

Let x = 0

f(0) = 5× 3 ^ 0

f(0 = 5 × 1

f(0) = 5

X intercept

let y = o

0 = 5 × 3 ^x

No x intercept/ zero

therefore

Vertical intercept (0; 5)

Domain XER

▪︎this refer to the values of X

i also want to understand lets see who answers it

Answer:

457.9

Step-by-step explanation:

Answer:

yeah sure

Step-by-step explanation:

Answer 9 : 1

Answer 10 : 8b²/3a³c³

Answer:

the answer is 3 to 2...........

Answer:

there is the answers❤ sorry its a little blurry

Answer:

Hi! The nswer to your question is m = 1

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

1

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1.

So the y2 is 7 and the y1 is 2. The x2 is 10 and the x1 is 5. So when you plug those in you have 7-2/10-5. That simplifies to 5/5 which is 1.