You deposit $6000 in an account earning 2% interest compounded monthly How much will you have in the account in 10 years ​

Answer:

The number of parents spend their kids birthday parties

'n' = 1667

Step-by-step explanation:

Explanation:-

Given standard deviation of the Population = 62.5

Given the estimate error = 3 dollars

Level of significance =0.05

Z₀.₀₅ = 1.96

The margin of error defined by

[tex]M.E = \frac{Z_{0.05} S.D}{\sqrt{n} } \\3 = \frac{1.96 X 62.5}{\sqrt{n} }[/tex]

cross multiplication , we get

3√n = 1.96 X 62.5

 √n = 40.833

Squaring on both sides, we get

n = 1667.34



The number of samples are 'n' = 1667

Answer:

368/5

Step-by-step explanation:

hope it helps

.........

Answer:

73.6

Step-by-step explanation:

80% = 0.8

0.8 * 92 = 80% of 92

0.8 * 92 = 73.6

80% = 73.6

:3))

Answer:

Chocolate - 420g

Eggs - 27

Lemon juice - 85ml

Sugar - 140g

Step-by-step explanation:

Given that:

Initial amount of ingredients:

Chocolate - 600g

Eggs - 36

Lemon juice - 100ml

Sugar - 200g

Amount of ingredients used :

Chocolate - 180g

Eggs - 9

Lemon juice - 15ml

Sugar - 60g

Amount of ingredient left :

Initial amount - Amount used :

Chocolate : 600g - 180g = 420g

Eggs : 36 - 9 = 27

Lemon juice : 100ml - 15ml = 85ml

Sugar : 200g - 60g = 140g

Answer:

0 miles

Step-by-step explanation:

Just subtract 11/4 from 2 3/4

2 3/4 - 11/4 = 0

So, he doesn't need to run any more

Answer:

The slope is 3

Step-by-step explanation:

Answer:

Adjacent

Step-by-step explanation:

Angles WYX and XYZ are next to eachother.

Answer:

3

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The blocks are rotating counterclockwise.

Answer:

Solutions,Here:

2+ 8c + 3c + 3c

2+ 14c

14c + 2

Therefore, Answer is 14c + 2

I think that is the answer...

Answer:

9/18

3/6 is the same as 9/18.

Step-by-step explanation:

Answer:

The answer is xy=16-4 and xy=12

Answer:

No Petra is wrong

Step-by-step explanation:

The associative property of multiplication goes thus :

(x * y) * z = x * (y * z)

The equation give in the question :

(9.5 x 9) + 1 = 9.5 * 10

The associative property cannot be used to rewrite the equation as claimed above.

Because, the equation includes both multiplication and addition functions. Hence, it has to be solved separately following tbe rule of BODMAS., THE sign preceeding 9 in the equation is multiplication and as such not mathematically correct to add such number to +1

To ascertain :

(9.5 x 9) + 1 = 86.5

9.5 * 10) = 95

Hence,

(9.5 x 9) + 1 ≠ 9.5 * 10

Answer:

We conclude that all the points of the table satisfy the equation y = x²

Hence, the option containing the equation y =  x² is true.

The graph of y =  x² is also attached below.

Step-by-step explanation:

Given the table

x             y

-2           4

-1             1

0            0

1             1

2            4

Let us substitute the x-values of the table in the equation

y = x²

plun in x = -2

y = (-2)² = 4

so the point (2, 4) lies on the graph of y =  x²

y = x²

plun in x = -1

y = (-1)² = 1

so the point (-1, 1) lies on the graph of y =  x²

y = x²

plun in x = 0

y = (0)² = 0

so the point (0, 0) lies on the graph of y =  x²

y = x²

plun in x = 1

y = (1)² = 1

so the point (1, 1) lies on the graph of y =  x²

y = x²

plun in x = 2

y = (2)² = 4

so the point (2, 4) lies on the graph of y =  x²

Therefore, we conclude from the above calculations that all the points of the table satisfy the equation y = x²

Hence, the option containing the equation y =  x² is true.

The graph of y =  x² is also attached below.

Answer:

(goh) (0) = 4

Step-by-step explanation:

Given that,

g(x) = 2x

h(x) = x² + 4

We need to find the value of (goh) (0).

Firstly we find (goh),

(goh) = g(h(x))

=g(x²+4)

(goh) (0) = 0²+4

=4

Hence, the required answer is 4.

Answer:

The estimated weight that the airplane can carry is: Option C: 350,000 pounds

Step-by-step explanation:

Given that each individual weighs 205 pounds with baggage and one gallon of fuel weighs 5 pounds.

We will work out the passengers weight first.

For Passengers:

Let w be the total weight of all passengers

[tex]w = weight\ of\ one\ passenger * number\ of\ passengers\\w =205 * 495\\w =101475\ pounds[/tex]

For Fuel:

Let f be the total weight of fuel

Then

[tex]f = Weight\ of\ one\ gallon * Number\ of\ gallons\\f = 5 * 49500\\f =247500[/tex]

Total weight = 101475 + 247500 = 348975 pounds

As 350000 is nearest to the calculated answer, it will be the right answer.

Hence,

The estimated weight that the airplane can carry is: Option C: 350,000 pounds

Step-by-step explanation:

7x^(2y) - 2xy² - 6x^(2y) + 3xy² - xy + 8

= x^(2y) + xy² - xy + 8.

When x = -2 and y = 4, we have:

(-2)^(8) + (-2)(4²) - (-2)(4) + 8

= 256 - 32 + 8 + 8

= 240.

There is ambiguity between x^(2y) and x²y written in your question.

Answer:

The answer is 0.

Step-by-step explanation:

x = -2 , y = 4

7(-2)²(4) - 2(-2)(4)² - 6(-2)²(4) + 3(-2)(4)² - (-2)(4) + 8

112 + 64 - 96 - 96 + 8 + 8

176 - 192 + 16 = 0

The initial points:             T(2 , 3)      U(5, 4)       V(2, 0)

The transformed points: T'(-1, 2)       U'(2,3)          V'(-1, -1)

Since all these points will follow the same rule, we will take a pair of initial and transformed points and compare them

T(2, 3) → T'(-1, 2)

We can see that these points are not reflected across the y-axis

Checking if they have a dilation of 0.25 about the origin:

Dilation of 0.25 about the origin basically means if the Initial x and y coordinates are multiplied by 0.25 to form the transformed points

So, if the points have a dilation of 0.25:

x (initial) * 0.25 = x(final)

2*0.25 = -1

0.5 ≠ -1

Hence, there is no dilution of 0.25

Checking if the given points are translated:

To check this, we will take 2 pairs of initial and transformed points

T(2,3) →  T'(-1,2)

U(5,4) → U'(2,3)

To check if there is transformation, we need to check if the difference between the x and y coordinates of initial and transformed points is equal

Change in coordinates of T:

x-coordinates:

x(final) - x(initial) = x(change)

x(change) = -1 - (2)

x(change) = -3

y-coordinates:

y(change) = y(final) - y(initial)

y(change) = 2 - (3)

y(change) = -1

Change in coordinates of U:

x-coordinates:

x(change) = x(final) - x(initial)

x(change) = 2 - 5

x(change) = -3

y-coordinates:

y(change) = y(final) - y(initial)

y(change) = 3 - 4

y(change) = -1

Since there is the same change in x and y coordinates of the initial and transformed points, we know that Translation took place

Since the change in x is -3 and the change in y is -1, the translation will look like:

(x-3 , y-1)

Which is also option d.

Hence, option d is the correct answer

Answer:

a = 3

b = 6

The product ab =  3 x 6 = 18

Step-by-step explanation:

Data Given:

Fraction of the area of Fido's yard = [tex]\pi x \frac{\sqrt{a} }{b}[/tex]

Let X be the side of the hexagon.

So, the area of the Hexagon is:

Area of the Hexagon = [tex]\frac{3\sqrt{3} }{2} X^{2}[/tex]

Now, we have to calculate the length of Fido's Leash by using Lw of Sine

Law of Sine = [tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

[tex]\frac{0.5S}{sin30}[/tex] = [tex]\frac{Length}{sin60}[/tex]

Solving for Length, where sin30 = 1/2 and sin60 = [tex]\frac{\sqrt{3} }{2}[/tex]

Suppose Length = Y

Y = [tex]\frac{\sqrt{3} }{2}[/tex]X

Now, as we have got the length we can calculate the area that Fido can cover,

So, the area covered by Fido = [tex]\pi[/tex] x [tex]Y^{2}[/tex]

Area = [tex]\pi[/tex] x [tex](\frac{\sqrt{3} }{2}X) ^{2}[/tex]

Area = [tex]\pi[/tex] x [tex]\frac{3}{4}[/tex] x [tex]X^{2}[/tex]

So, now, we can get the fraction of the area of Fido's Yard by dividing the area of hexagon by area that fido can cover.

Fraction of the area of Fido's yard = [tex]\pi x \frac{\sqrt{a} }{b}[/tex]

[tex]\pi[/tex] x [tex]\frac{3}{4}[/tex] x [tex]X^{2}[/tex] / [tex]\frac{3\sqrt{3} }{2} X^{2}[/tex]

[tex]\pi[/tex] x [tex]\frac{3}{4}[/tex] / [tex]\frac{3\sqrt{3} }{2}[/tex]

6 [tex]\pi[/tex] / [tex]12\sqrt{3}[/tex]

[tex]\pi[/tex] / [tex]2\sqrt{3}[/tex]

Which can be rewritten as by multiplying and dividing by [tex]\sqrt{3}[/tex]

[tex]\sqrt{3} \pi[/tex]/ 6

By comparing the above equation and the given equation we can find a and b :

So,

a = 3

b = 6

And the product ab =  3 x 6 = 18

Answer:

Solving the expression [tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex] we get [tex]\mathbf{n=-\frac{36}{5} }[/tex]

Step-by-step explanation:

We need to solve the expression: [tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex]

Solving:

[tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex]

First we convert mixed fraction into improper fraction

[tex]\frac{3}{4}n=-\frac{7}{4}n-18[/tex]

Now adding 7/4 n on both sides

[tex]\frac{3}{4}n+\frac{7}{4}n=-\frac{7}{4}n-18+\frac{7}{4}n\\\frac{3}{4}n+\frac{7}{4}n=-18[/tex]

Now, taking LCM on left side

LCM of 4 and 4 is 4

[tex]\frac{3}{4}n+\frac{7}{4}n=-18\\\frac{3*1n+7*1n}{4}=-18\\\frac{3n+7n}{4}=-18\\\frac{10n}{4}=-18[/tex]

Now, multiply both sides by 4/10

[tex]\frac{10n}{4}\times \frac{4}{10} =-18\times \frac{4}{10}\\n=-\frac{36}{5}[/tex]

So, solving the expression [tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex] we get [tex]\mathbf{n=-\frac{36}{5} }[/tex]

Step-by-step explanation:

height of the cylindrical tank = 20m

circumference of the tank = 39m

volumn of tank =  

perimetre formula = 2πrh

= 2 x 3.14 x r x 20 = 39

= 188.4r = 39

r = 188.4/39

r = 4.83

volumn =  πr^/2

h

= 3.14 x 4.83^2 x 2 x 20

= 1465.05

volumn of tank = 1465.05

Answer:

the first option

Using linear functions, it is found that:

A linear function for a cost depending on the number of movies x is given by:

[tex]C(x) = C(0) + ax[/tex]

In which:

For Plan A, $33 per month plus $3 per movie watched, hence [tex]C(0) = 33, a = 3[/tex], and the equation is:

[tex]C_a(x) = 33 + 3x[/tex]

For Plan B, $37 per month plus  $2 per movie watched, hence [tex]C(0) = 37, a = 2[/tex], and the equation is:

[tex]C_b(x) = 37 + 2x[/tex]

The monthly cost is equal when:

[tex]C_a(x) = C_b(x)[/tex]

[tex]33 + 3x = 37 + 2x[/tex]

[tex]x = 4[/tex]

The monthly plans would have an equal cost when 4 movies are watched.

A similar problem is given at https://brainly.com/question/16302622

Answer:

M (2,8)= (x1y1)

B(-4,19)= (x2y2)

here,

midpoint = (x1+x2/2) (y1+y2/2)

= ( 2+ (-4)/2) (8 +19/2)

= (-2/2) (27/2)

= -1, 13.5

Step-by-step explanation:

by using midpoint formula

Answer:

y=35x+50

Step-by-step explanation:

The 50 is a one-time fee, therefore it is shown as addition

35 per day means that for 3 days, you would pay 105

X represents the number of days

Answer:

10 minutes

Step-by-step explanation:

Answer: that would be 83 seconds a lap i believe

Ps: this dexter kid is really fast

Step-by-step explanation:

I hope this helps if not sorry :(

Answer:

You left them a 0.31 cent tip and you payed all together $3.41

Step-by-step explanation:

Answer:

maybe a

Step-by-step explanation:

Answer:

14

Step-by-step explanation: