Solve for x: log2(8)=x

A new movie opened in a local theater. On opening day, 985 people saw the movie. Each day after opening day, the number of peopl

zysi [14]

Answer:

About 3891 people saw that movie.

Step-by-step explanation:

Day 1: 985 people

Day 2: (985*8)/10 (20% gone) = 788

Day 3: (788*8)/10 (20% gone) = 630.4

Day 4: (630.4*8)/10 (20% gone) = 504.32

Day 5: (504.32*8)/10 (20% gone) = 403.456

Day 6: (403.456*8)/10 (20% gone) = 322.7648

Day 7: (322.7648*8)/10 (20% gone) = 258.21184

Adding this up:

985+788+630.4+504.32+403.456+322.7648+258.21184=

985+788+630+504+403+323+258=3891

4 0

3 years ago

The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times l

sergij07 [2.7K]

Answer:

(a)

h=3x

(b)

$A=\frac{\sqrt{3} }{4} x^2$

(c)

$A=\frac{3\sqrt{3} }{2} x^2$

(d)

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

Step-by-step explanation:

We are given a regular hexagon pyramid

Since, it is regular hexagon

so, value of edge of all sides must be same

The length of the base edge of a pyramid with a regular hexagon base is represented as x

so, edge of base =x

b=x

Let's assume each blank spaces as a , b , c, d

we will find value for each spaces

(a)

The height of the pyramid is 3 times longer than the base edge

so, height =3*edge of base

height=3x

h=3x

(b)

Since, it is in units^2

so, it is given to find area

we know that

area of equilateral triangle is

$=\frac{\sqrt{3} }{4} b^2$

h=3x

b=x

now, we can plug values

$A=\frac{\sqrt{3} }{4} x^2$

(c)

we know that

there are six such triangles in the base of hexagon

So,

Area of base of hexagon = 6* (area of triangle)

Area of base of hexagon is

$=6\times \frac{\sqrt{3} }{4} x^2$

$=\frac{3\sqrt{3} }{2} x^2$

(d)

Volume=(1/3)* (Area of hexagon)*(height of pyramid)

now, we can plug values

Volume is

$=\frac{1}{3}\times\frac{3\sqrt{3} }{2} x^2\times (3x)$

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

3 0

3 years ago

Read 2 more answers

0.9 written as a fraction

Marianna [84]

Answer:

9/10

Step-by-step explanation:

90%

6 0

2 years ago

Read 2 more answers

You have a goal of saving to build up a nest egg of $625,357.24, and you are going to make regular deposits to an account that p

Delvig [45]

The monthly deposit required to save up to $625,357.24 (future value) in 40 years at a 7.2% APR is <u>$225.20</u>.

<h3>What is the monthly deposit?</h3>

The monthly deposits are the periodic savings that the investor must make to achieve future value.

The monthly deposit is compounded at the monthly annual percentage rate (APR).

We can compute the required monthly deposits using an online finance calculator as follows:

N (# of periods) = 480 months (40 years x 12)

I/Y (Interest per year) = 7.2%

PV (Present Value) = $0

FV (Future Value) = $625,357.24

<u>Results</u>:

Monthly Deposits (PMT) = $225.20

Sum of all periodic payments = $108,096 ($225.20 x 480)

Total Interest = $517,261.24

Thus, to save $625,357.24 in 40 years, you need to deposit <u>$225.20</u> monthly.

Learn more about periodic deposits (payments) at brainly.com/question/13031679

#SPJ1

6 0

1 year ago

Need help with number 12 n 13 Asap

Arlecino [84]

Step-by-step explanation:

it's explained in the solution

7 0

3 years ago