Hannah invested $540 in an account paying an interest rate of 4.7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 18 years?

Answer:

52

Step-by-step explanation:

Divide 312 by 6 to find the number of events he swam per year

He swam 52 events each year.

Explanation:

You can figure this out by dividing 312 by 6, which would get you 52, the amount of events he swam each year

Answer:

-25

Step-by-step explanation:

Answer:

I don't know why this always happens to me it looks black can u ask the question and I will answer

Answer: 18.8 miles

Step-by-step explanation:

Ww are given the equation 4.7x=2.5x+8.8 to solve the question. This will be:

4.7x = 2.5x + 8.8

Collect like terms.

4.7x - 2.5x = 8.8

2.2x.= 8.8

x = 8.8/2.2

x = 4

To know how fast the kickers are going will be

4.7x = 4.7 × 4 = 18.8 miles

Answer:

why

Step-by-step explanation:

Answer:

wait holy gosh dude is this about the congruence stuff? I think I can help!

ok so triangle RST is very similar to triangle ABC BECAUSE triangle RST is just dialated and or turned around it also has the lines so it must be similar or closest to 1.5 for each sides

srry if this is wrong if it is plz correct me nicely in the comments lol

Answer:

300

Step-by-step explanation:

3 :  15 :: 60 : x

Product of extremes  = Product of  means

3 * x = 15 * 60

    [tex]x = \frac{15 * 60}{3}\\\\x = 5*60\\\\x = 300[/tex]

Or Do in this way

[tex]\frac{3}{15}=\frac{60}{x}\\\\[/tex]

[tex]\frac{3*20}{15*20}=\frac{60}{x}[/tex]

x = 15* 20 = 300

Answer:

300

Step-by-step explanation:

Answer:

-1/2 is the answer i think

Answer: Choice 4

Step-by-step explanation:

6 was not multiplied by 3 because that would make it

un equivalent, opposite of what she's trying to do

Answer:

1 AND 4/19

Step-by-step explanation:

2/3=3/5

lcm=15

10/15+9/15=19/15= 1 AND 4/19

Answer:

slope={-8-7}/{5--4)=-15/9=-5/3

we use - × -=+

Answer:

To determine if the point is a solution, substitute the x value into the right side of the inequality and compare the result with the y value of the point.

- x + 2 = - 1 + 2 = 1

Now - 3 < 1

Thus (1, - 3) is not a solution

Step-by-step explanation:

Answer:

The slope would be 13/-3 or -4.3... repeating

Step-by-step explanation:

The slope of the line passing through the points (2, −7) and (−1, 6) is (13 / 3 ).

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

The slope of the line is calculated by the formula below,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given points through which the line is passing are (2, −7) and (−1, 6). The slope of the line is calculated by the formula written below,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = (6 - ( - 7 ) / ( -1 - 2 )

Slope = 13 / - 3

Slope = -13 / 3

Therefore, the slope of the line passing through the points (2, −7) and (−1, 6) is (13 / 3 ).

To know more about slopes follow

https://brainly.com/question/3493733

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Answer:

a.13,38,63,88

Step-by-step explanation:

they have the same common difference which is 25

Answer:

B. x^2x2 and 2x^22x2

Step-by-step explanation:

The expression given is:

8+ x^2 - 4x^3 + 5x+ 2x^28+x2−4x3+5x+2x2

Like terms are terms in which their variables and the power of the variables (exponents) are the same.

While it is not necessary that the coefficient of the variables are the same, the power of the variables must be the same.

In that case, the like terms in the expression given are x^2x2 and 2x^22x2 .

Note: The question says 8+ x^2 - 4x^3 + 5x+ 2x^28+x2−4x3+5x+2x2 but the option has -4x^2−4x2 .

In case its actually -4x^2−4x2 instead of -4x^3−4x3 , then,

 -4x^2−4x2 is also a like term and the answer will be D.

Answer:

no statement

Step-by-step explanation:

List the statements pls

Answer:

-17

Step-by-step explanation:

Plug in 4 for all your Xs

f(4)=3(4)-29

=12-29

=-17

Answer:

135.71 sea otters

Step-by-step explanation:

y = 70(1.18)^4

y = 70 x 1.9387

y = 135.71

The number of sea otters after 4 years with an exponential growth of 18% will be 135.71.

A connection of the form y = ax, where x is an independent variable that spans the entire real number line and is written as the exponent of a positive number, is known as an exponential function in mathematics.

The exponential growth function is given as,

y = C x^n

y = 70(1.18)⁴

y = 70 × 1.9387

y = 135.71

Hence "After 4 years, there will be 135.71 sea otters, representing an exponential growth of 18%".

For more about exponential function,

https://brainly.com/question/15352175

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Answer:

the number of days taken is 11

Step-by-step explanation:

The computation of the number of days expected to sell 44 bundt cakes as follows:

Given that

It takes every 5 days to sell 20 bundt cakes

So for 44 bundt cakes it would take

= 44 × 5 days ÷ 20

= 11 days

hence, the number of days taken is 11

Answer:

6:30 would be the ratio cause out of 30 cars 6 are SUVs

Answer:

Answer:

x= -5

.........

Answer: x = -5

Step-by-step explanation:

Answer:

x = 27

Step-by-step explanation:

ΔDQC ≈ ΔDBR

set up proportion based on corresponding sides

39/x = 65/18+x

cross-multiply:

39(18+x) = 65x

702 + 39x = 65x

702 = 26x

x = 27

Answer:

The correct answer is A. y=3x.

The total amount of art pieces he owns is equal to three times the number of pieces x.

Let me know if this helps!

Answer:

x = -3

Step-by-step explanation:

-22 = 5x - 7

-15 = 5x

x = -3

Answer:

X=3 or -3 i am not sure which but am positive it is one of those

Step-by-step explanation:

Answer:

y = -0.5x + 3

Step-by-step explanation:

The equation of a linear model is generally represented as;

y = mx + b

where m

is slope and b is the y-intercept

We can get slope by using the slope equation

m =

(y2-y1)/(x2-x1)

(x1,y1) = (-4,5)

(x2,y2) = (4,1)

m = (1-5)/(4 + 4) = -4/8 = -0.5

The equation is thus;

y = -0.5x + b

to get b, we substitute any of the two points coordinates

1 = -0.5(4) + c

1 = -2 + c

c = 2 + 1

c = 3

9514 1404 393

Answer:

  A.  f(x) = (x -3)² -1

  B.  vertex: (3, -1); axis of symmetry: x=3; x-intercepts: {2, 4}; y-intercept: 8

  C.  see attached for a graph

Step-by-step explanation:

A. Put the function in vertex form by completing the square. Start by putting parentheses around the terms containing x.

  f(x) = (x² -6x) +8

Now, identify the coefficient of x (-6) and square half of that. (-6/2)² = 9. Add this value inside parentheses, and subtract this value outside parentheses.

  f(x) = (x² -6x +9) +8 -9

Rewrite the trinomial in parentheses as a square. The constant in the binomial will be the value you squared in the previous step.

  f(x) = (x -3)² -1 . . . . . vertex form; a(x -h)²+k for vertex (h, k)

__

B. The vertex and the axis of symmetry can be read from the equation. Here, the vertex is (3, -1). The axis of symmetry is the vertical line through the vertex: x = 3. The x-intercepts are found by solving f(x) = 0.

  f(x) = 0

  (x -3)² -1 = 0

  (x -3)² = 1 . . . . . add the opposite of the 'k' value

  x -3 = ±√1 . . . . take the square root. We need both signs.

  x = 3 ± 1 . . . . . add 3 to get x by itself. These are the x-intercepts.

  x = 3-1 = 2  and  x = 3+1 = 4

The x-intercepts are 2 and 4, points (2, 0) and (4, 0).

The y-intercept is the value of f(0). It is the constant in the original form of the function. f(0) = 8 . . . . y-intercept

__

C. The graph is attached. The various points above are marked, and the axis of symmetry is shown.

Answer:

y=4x+3

I used the formula: y=mx+b