Which number line represents all of the values of x for the equation x2 = 36?

How much would $200 invested at 7% interest compounded annually be worth after 5 years? Round your answer to the nearest cent. D

viktelen [127]

The future worth (F) of the investment at present (P) with a compound interest i after n years is calculated through the equation,
F = P x (1 + i)^n
Substituting the known values,
F = ($200) x (1 + 0.07)^5 = $280.51
Thus, the future worth of the investment is approximately $280.51.

6 0

2 years ago

Read 2 more answers

A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0). What is the equation of the directrix? x=−4 y=−

rewona [7]

Answer:

Step-by-step explanation:

The vertex and focus are horizon aligned, so the parabola is horizontal and the directrix is a vertical line.

The vertex is halfway between focus and directrix. Directrix: x = -4

7 0

2 years ago

Read 2 more answers

10 feet wide by 30 feet long by 1/3 foot deep.what is the volume?

Ket [755]

----------------------------------------------
Formula
----------------------------------------------
Volume = Length x Width x Height

----------------------------------------------
Apply Formula
----------------------------------------------
Volume = 10 x 30 x 1/3 = 100 ft³

----------------------------------------------
Answer: 100 ft³
----------------------------------------------

4 0

2 years ago

Read 2 more answers

What is the value of x in the diagram?

dalvyx [7]

Answer:

x = 30

Step-by-step explanation:

here 50 is hypotenuse as it is opposite of 90 degree.

x and x + 10 are the two other smaller sides of a right angled triangle respectively.

using pythagoras theorem,

a^2 + b^2 = c^2

x^2 + (x + 10)^2 = 50^2

x^2 + x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 - 2500 = 0

2x^2 + 20x - 2400 = 0

2(x^2 + 10x - 1200) = 0

x^2 + 10x - 1200 = 0

x^2 + (40 - 30) - 1200 = 0

x^2 + 40x - 30x - 1200 = 0

x(x + 40) - 30(x + 40x) = 0

(x + 40)(x - 30) = 0

either x + 40 = 0 OR x - 30 = 0

x = 0 - 40

x = -40

x - 30 = 0

x = 30

x = -40,30

since the length and distance is not measured in negative ur answer will be 30

credit goes to sreedevi102

thank u very much . At first i was wrong and giannathecookie i m really sorry

3 0

3 years ago

Read 2 more answers

Here is the histogram of a data distribution. All class widths are 1.

stich3 [128]

The median of the data is 5 if the all class widths are 1, option (C) is correct.

<h3>What is the median?</h3>

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

In the histogram, 15 data values are given:

1, 2, 2, 3, 3, 3, 4, 5, 6, 6, 7, 7, 7, 8, 9

The mid-value is 5 which is on the 8th place

Thus, the median of the data is 5 if the all class widths are 1, option (C) is correct.

Learn more about the median here:

brainly.com/question/21396105

#SPJ1

8 0

1 year ago