17 Billie deposited three paychecks, one was $435.20 , one was $ 510.20 and the third one was $ 345.12 plus $142 cash into her checking account Her original balance was $ 225.30. Assuming all the checks clear, how much will be in his checking account after the deposits are made?

Answer:

[tex]425\geq x[/tex]

425 pounds or less can be added after the student and football player.

Step-by-step explanation:

let x = remaining weight

(note that >/= is greater than or equal to.)

800 - 280 - 95 >/= x

425 >/= x

Answer:

Volume of sphere is 150.45 m³

Step-by-step explanation:

We are given:

Radius of sphere = 3.3 m (3-3 m can't be radius, It can be either 3 m or 3.3 m. I am considering 3.3 for solving)

We need to find Volume of sphere

The formula used is: [tex]Volume=\frac{4}{3}\pi r^3[/tex]

Putting values and finding volume

[tex]Volume=\frac{4}{3}\pi r^3\\Volume=\frac{4}{3}\times 3.14 \times (3.3)^3\\Volume=\frac{4}{3}\times 3.14 \times 35.937\\Volume=150.45\:m^3[/tex]

So, Volume of sphere is 150.45 m³

Answer:

if I'm not wrong, its x>34

Step-by-step explanation:

multiply both sides by 3

3(x - 4)/3 > 10 x 3

x - 4 > 30 (simplify)

add 4 to both sides and x > 34

Answer:

Altitude - a segment drawn from the vertex perpendicular to the other side (also called the height).

Answer:

x = 4/7

y = 60/7

Step-by-step explanation:

3x + 4y = 36

y = x + 8

Substitute the second equation into the first since it already has the y isolated for you:

3x + 4(x + 8) = 36

3x + 4x + 32 = 36

7x = 4

x = 4/7

Take the answer you got from the equation above and plug that into the second equation:

y = 4/7 + 8

y = 60/7

To check just LS/RS both equations:

3(4/7) + 4(60/7) = 36

12/7 = 240/7 = 36

252/7 = 36

36 = 36

LS = RS

60/7 = 4/7 + 8

60/7 = 60/7

LS = RS

Answer:

y - 5 = 6(x - 7)

Step-by-step explanation:

yes

Answer:

[tex]y+1=\frac{6}{11}(x+4)[/tex]

The image below shows proof that the point-slope equation [tex]y+1=\frac{6}{11}(x+4)[/tex] is the correct equation in point-slope form that the line passes through the points (7, 5) and (-4, -1)

Hope this helps! :)

Answer:

Step-by-step explanation:

2dozens= 24

24 pens cost Rs. 600

30 pens cost = (600x30)/24 = 18000/24 = Rs. 750

Answer: Man, I agree with u.

Step-by-step explanation:

Answer:

hmm havent noticed

Step-by-step explanation:

ppl are wierd that's why I'm an attack helicopter....

Answer:

b

Step-by-step explanation:

Please mark brainiest

Answer:

The largest advertisement she can afford has dimensions of 5 in x 10/3 in

Step-by-step explanation:

Assume the dimensions of the advertisement are L and W.

The area of the advertisement is:

A = L.W

The ratio length/width is 3:2, thus the proportion is:

[tex]\displaystyle \frac{L}{W}=\frac{3}{2}[/tex]

Thus:

[tex]\displaystyle L=\frac{3}{2}W[/tex]

The area is:

[tex]\displaystyle A=\frac{3}{2}W^2[/tex]

Since the square inch of advertisement space sells for $3, the cost for Anna to purchase it is:

[tex]\displaystyle C=3\cdot\frac{3}{2}W^2[/tex]

Simplifying:

[tex]\displaystyle C=\frac{9}{2}W^2[/tex]

This cost can be a maximum of $50, thus:

[tex]\displaystyle \frac{9}{2}W^2=50[/tex]

Multiplying by 2:

[tex]9W^2=100[/tex]

Solving for W:

[tex]\displaystyle W=\sqrt{\frac{100}{9}}=\frac{10}{3}[/tex]

[tex]\displaystyle W=\frac{10}{3}[/tex]

And

[tex]\displaystyle L=\frac{3}{2}\cdot \frac{10}{3}[/tex]

L = 5

Thus the largest advertisement she can afford has dimensions of 5 in x 10/3 in

Answer:

a) The negative sign indicates that progression is decreasing in time and decreases by 18 percent each month.

b) Antonio is expected to make a profit of 37445.17 in 7 months from now.

Step-by-step explanation:

a) The equation described on statement represents a geometrical progression, which is defined as:

[tex]y = C_{o}\cdot (1+ r)^{x}[/tex] (1)

Where:

[tex]C_{o}[/tex] - Initial amount, measured in monetary units.

[tex]r[/tex] - Rate, dimensionless. (The progression is increasing when [tex]r > 0[/tex], and decreasing when [tex]-1 < r < 0[/tex])

[tex]x[/tex] - Time, measured in months.

[tex]y[/tex] - Profit, measured in monetary units.

Given that [tex]y = 150,210\cdot (0.82)^{x}[/tex], we calculated the rate below:

[tex]1+r = 0.82[/tex]

[tex]r = 0.82-1[/tex]

[tex]r = -0.18[/tex]

The negative sign indicates that progression is decreasing in time and decreases by 18 percent each month.

b) If we know that [tex]x = 7[/tex], then the expected amount for Antonio in 7 months from now is:

[tex]y = 150,210\cdot (0.82)^{7}[/tex]

[tex]y = 37445.17[/tex]

Antonio is expected to make a profit of 37445.17 in 7 months from now.

Answer:

The line is y=1x+8

Step-by-step explanation:

We can use point-slope form of a line to make an equation. Point-slope form is as follows:

y-y₁=m(x-x₁)

**The variables y₁ and x₁ are where we will plug in our given coordinates and the variable m is your slope.

1. Plug in the given info:

y-10=1(x-2)

2. Distribute the 1:

y-10=1x-2

3. Add 10 to both sides:

y=1x+8

Answer:

A)  P(Z > 5000) = 0.0322

B)  P( Y = 2 or 3) ≅  0.9032

Step-by-step explanation:

From the given information;

Suppose the sales for the first week are denoted by X and the sales for the second week are denoted by Y.

Then;

X & Y are independent and they follow a normal distribution.

i.e.

[tex]XY \sim N(\mu,\sigma^2)[/tex]

[tex]XY \sim N(2200,230^2)[/tex]

If we set Z to be equal to X+Y

Then, [tex]Z \sim N(2 \times 2200,2 \times 230^2)[/tex] since two normal distribution appears normal

[tex]Z \sim N(4400,105800)[/tex]

So;

[tex]P(Z > 5000) = 1 - P( Z< \dfrac{x = \mu}{\sqrt{\sigma}})[/tex]

[tex]P(Z > 5000) = 1 - P( Z< \dfrac{5000-4400}{\sqrt{105800}})[/tex]

[tex]P(Z > 5000) = 1 - P( Z< \dfrac{600}{325.2691})[/tex]

[tex]P(Z > 5000) = 1 - P( Z< 1.844626495)[/tex]

[tex]P(Z > 5000) = 1 - P( Z< 1.85)[/tex]

From the Z - tables;

P(Z > 5000) = 1 - 0.9678

P(Z > 5000) = 0.0322

B)

Let Y be the random variable that obeys the Binomial distribution.

Y represents the numbers of weeks in the next 3 weeks where the gross weekly sales exceed $2000

Thus;

[tex]Y \sim Bin(3,p)[/tex]

where;

[tex]p = 1 - P( Z < \dfrac{2000-2200}{230})[/tex]

[tex]p = 1 - P( Z < \dfrac{-200}{230})[/tex]

p = 1 - P( Z < - 0.869565)

From the Z - tables;

p = 1 - 0.1924

p = 0.8076

Now;

P(Y ≥ 2) = P(Y = 2) + P( Y =3 )

Using the formula

[tex]P(X = r ) = ^nC_r \times p^r \times q ^{n-r}[/tex]

[tex]P( Y = 2 \ or \ 3) =^ 3C_2 \times 0.8076^2 \times ( 1- 0.8076) ^ {3-2} + ^ 3C_3 \times 0.8076^3 \times ( 1- 0.8076) ^ {3-3}[/tex]

[tex]P( Y = 2 \ or \ 3) =\dfrac{3!}{2!(3-2)!} \times 0.8076^2 \times ( 0.1924) ^ 1 + \dfrac{3!}{3!(3-3)!}\times 0.8076^3 \times ( 0.1924) ^ {0}[/tex]

[tex]P( Y = 2 \ or \ 3) =0.3764600911 +0.526731063[/tex]

P( Y = 2 or 3) = 0.9031911541

P( Y = 2 or 3) ≅  0.9032

Answer:

32.0 cm

Step-by-step explanation:

volume of a hemisphere = (2/3)πr3

r = cube root (Volume * 3/2 * 1/π )

r = cube root ( 8514 * 3/2 * 1/π)

r = 15.96

in the nearest tenth r = 16.0 cm

D= 2r

D= 2(16)

D= 32cm

Answer: 31.9 cm

Step-by-step explanation:

Got it from deltamath so it's right

Answer:D

Step-by-step explanation:

just took it on edge

Answer:

The answer is d

Step-by-step explanation:

Answer:

x < -2 and x > 2

Step-by-step explanation:

Given the inequality |3x| < -6

The function inside modulus can take both positive and negative value.

For the positive value;

3x < -6

x < -6/3

x < -2

For the negative value;

-3x < -6

-3x/-3 > -6/-3

x > 2

Hence the solution to the inequality is x < -2 and x > 2

Answer:

(B) $1470

Step-by-step explanation:

Given that the principal initial amount, p=$1200

Rate of simple interest per year, r=4.5% = 0.045

Time, t=5 years

Interest after 5 years,

I=prt= 1200 x 0.045 x 5 = 270

Total amount = Principal initial amount + Interest

=1200+270=1470

So, the total amount of the student's savings after 5 years is $1470.

Hence, option (B) is correct.

Answer:

By ASA congruence theorem

Step-by-step explanation:

Given:

In ΔFEG AND ΔKHG

FG = KG (Mid points)

∠EGF = ∠HGK (vertical opposite angle)

∠F = ∠K (Interior alternate angle)

So,

ΔFEG ≅ ΔKHG

By ASA congruence theorem

Answer:

1/11

Step-by-step explanation:

If there are 11 counters and there's only 1 white one, that makes it to where there's only a 1 in 11 chance of you choosing that one white counter.

Answer:

7+4

Step-by-step explanation:

Answer:

7 + 2x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Since 25% is 1/4 of 100, that means that 35 is 1/4 of the total amount of members in the club. So, 35 times 4 is 140.

Answer:

140

Step-by-step explanation:

hope this helps get a 100%

Answer:

Step-by-step explanation:​

The general equation of a circle is expressed as;

(x-a)² + (y - b)² = r² where;

(a, b) is the centre of the circle

r is the radius

Given

Centre (-8, 9) where a = -8, b = 9

radius r = 10

Substitute into the formula to get the required equation;

(x-(-8))² + (y - 9)² = 10²

(x+8))² + (y - 9)² = 10²

(x+8)² + (y - 9)² = 100

Hence the required equation is (x+8)² + (y - 9)² = 100

Answer:

Draw an arrow from the origin to (4, 0)

Step-by-step explanation:

u-v+w

= <-3, -4> - <-4, -1> + <3, 3>              

= <4, 0>

We want to perform a sum of vectors and draw the resultant vector. The resultant vector will be <4, 0> and its graph can be seen at the end.

If we see the image, we can write the vectors as:

Now we want to sum:

u - v + w

Remember that in the sum of the vectors we just add (subtract) the correspondent components, then we will have:

u - v + w = <-3, -4> - <-4, -1> + <3, 3> = <-3 + 4 + 3, -4 + 1 + 3> = <4, 0>

The graph of the resultant vector can be seen below.

If you want to learn more, you can read:

https://brainly.com/question/13291928