if £2000 is placed into a bank account that pays 3% interest compound into how much will be in the account after 2 years?

Answer:3!

Step-by-step explanation:

Answer:

Step-by-step explanation:

x-intercept -> when y = 0

f(x) x-intercept -> (1 , 0)

g(x) x-intercept -> (-1 , 0)

y-intercept -> when x = 0

f(x) y-intercept -> (0 , -1)

g(x) y-intercept -> (0 , 1)

The x-intercept of f(x) is greater than the x-intercept of g(x)

The y-intercept of g(x) is greater than the y-intercept of f(x)

So from the options, the answer is D. The x-intercept of f(x) is greater than the x-intercept of g(x)

Answer:

A bacteria culture initially contains 2500 bacteria and doubles every half hour. The formula for the population is p(t)=2500e^(kt) for some constant k. Find the size of the bacterial population after 100 minutes. Find the size of the bacterial population after 4 hours.

Step-by-step explanation:

Answer:

1. 10000 bacteria

2. 640000 bacteria

Step-by-step explanation:

2500 bacteria: 30 minutes

x bacteria: 60 minutes

The bacteria gets doubled twice

2500*2*2=10000

x bacteria:240 minutes

The bacteria gets doubles 8 times

2500*2*2*2*2*2*2*2*2= 640000

Answer:

1[tex]x^{2}[/tex]

Hope that helps!

Step-by-step explanation:

Answer: ☁️ x = 7,-5. ☁️

Hope it helps.

Explanation: Have a nice day!~ ￣▽￣❤️

Answer:

1) a. y = 4x + 8

  b. It will take 9 days for it to grow 44 inches tall

hope this helps :)

Answer:

a. y= 4x+8

b. 23 days

Step-by-step explanation:

8 is the y-int.

Slope you go up 4 and 1 to the right

y = 4*44+8

y= 176+8

y=184/8

y= 23

Answer: look at the symbols <, > and <=, >=

Step-by-step explanation:

If the inequality is < or >, graph the equation as a dotted line. If the inequality is <= or >=, graph the equation as a solid line.

Answer: D

Step-by-step explanation:

Answer: 1328

Step-by-step explanation:

Answer:

Width of a rectangle = [tex]\frac{11}{2}[/tex] yards

Length of a rectangle = [tex]18[/tex] yards

Step-by-step explanation:

Let width be [tex]x[/tex] yards.

Length of a rectangle = [tex]7+2x[/tex]

Area of a rectangle = length × width

Put area of the rectangle as [tex]99\,\,yd^2[/tex]

Therefore,

[tex]99=x(7+2x)\\\\99=7x+2x^2\\\\2x^2+7x-99=0\\\\2x^2+18x-11x-99=0\\2x(x+9)-11(x+9)=0\\\\(2x-11)(x+9)=0\\\\x=\frac{11}{2},x=-9[/tex]

Being a dimension, [tex]x[/tex] cannot be negative.

So,

[tex]x=\frac{11}{2}[/tex]

Width = [tex]x=\frac{11}{2}[/tex] yards

Length of a rectangle = [tex]7+2x=7+2(\frac{11}{2})=7+11=18[/tex] yards

Answer:

[tex]y = \frac{5}{3} (3^{x} )[/tex]

Step-by-step explanation:

In general, [tex]y = k(b^{x})[/tex]

Substitute x = 2, y = 15

(1)      [tex]15 = kb^{2}[/tex]

Substitute x = 1, y = 5

(2)      [tex]5 = kb^{1} = kb[/tex]

Divide equation (1) by equation (2)

[tex]\frac{15 = kb^{2} }{5= kb }[/tex]

3 = b

Now substitute b = 3 in equation (2) to find k

5 = k(3)

[tex]k = \frac{5}{3}[/tex]

Since we know the values for k and b, we now have the exponential function that passes thru (1, 5) and (2, 15)

[tex]y = \frac{5}{3} (3^{x} )[/tex]

Answer:

25

Step-by-step explanation:

square 7 and 24 to get 625. Then square root it to get 25

Answer:

A. ST = RU

Step-by-step explanation:

Quadrilaterals are four sided figures. Examples are: square, rectangle, trapezium, parallelogram etc. A parallelogram is a quadrilateral that has equal opposite and parallel sides.

This implies that in the given question since RS || TU, then;

RS = TU = 6

So that for RSTU to be a parallelogram,

ST = RU

Thus, the appropriate option to the question is A.

Answer:

I factored it

Step-by-step explanation:

-12x^2 + 5x - 26

-1(-12x^2 + 5x - 26)

-1 is there only common factor

Answer:

The price increased by 64.5, which makes a total of 279.5

Step-by-step explanation:

215*0.30 = 64.5

215 + 64.5 = 279.5

0.30 = 30% of 100

When you multiply by 0.30 you get 30%, or with any decimals, like multiply by 0.50 to get 50% of something, etc.

Answer:

74.8

Step-by-step explanation:

Cos M = adjacent/hypotenuse = 26/99

M = [tex]Cos^{-1}[/tex](26/99)

M = 74.774 ≅ 74.8

​

Answer:

74.8 is the correct answer

Step-by-step explanation:

Step-by-step explanation:

the perimeter of rectangle=2(l+b)=2(10+7)=34 cm

Answer:

Texas is 2.08333 * 10^2 times the size of Carolina.

Step-by-step explanation:

Given :

Given that:

Texas= 2.5x10^5

Carolina = 1.2x10^3

Comparing the size of Texas and Carolina

Texas / Carolina

(2.5 * 10^5) ÷ 1.2 * 10^3

(2.5/1.2) * 10^5-3

2.08333 * 10^2

Hence, Texas is 2.08333 * 10^2 times the size of Carolina.

Answer:

Step-by-step explanation:

Answer:

y = 4x + 23

2x - 13y = 1

3y = 1/2x

Step-by-step explanation:

trust me i got it right

Answer:

5 * 5 * 5

Step-by-step explanation:

The little three just means how many times the number is multiplied by itself.

Hope this helps

Answer:

Blue

Step-by-step explanation:

5^3 means to multiply itself by however many times the power says

so if its three then you multiply 5 by itself 3 times

5x5x5

Answer:

The range here is 85

Step-by-step explanation:

Here, we want to calculate the range of the data

Mathematically, the range is defined as the difference between the lowest value and the highest value in the dataset

From the given data points, the highest value is 189, while the lowest value is 104

So the range is the difference between the two which is;

189-104 = 85

Answer:

368×-6

Step-by-step explanation:

=323x+45x-6

=323x+45x + -6. =323×+45×+-6.=(323×+45×)+(-6) =368×+-6

Answer: d. 5

Step-by-step explanation:

Responder:

3 / 4x + 1/2 = x

Explicación paso a paso:

Dado que:

Capacidad total = x

Volumen inicial = cierta fracción * capacidad total

Volumen adicional agregado para llenar = 1/2

Por eso,

Inicial. Volumen + volumen adicional = volumen total

De las opciones:

Un volumen inicial de 3 / 4x

Volumen adicional de 1/2

Volumen total = x

Sumar todo hace que la ecuación:

3 / 4x + 1/2 = x

x - 3 / 4x = 1/2

Por lo tanto, la ecuación correcta de la opción es: 3 / 4x + 1/2 = x

Answer:

y=8

Step-by-step explanation:

Answer:

y = 8

Step-by-step explanation:

Divide each term by  9  and simplify.