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monitta
3 years ago
9

Write 32 as a number with an exponent by using 2 as the base

Mathematics
1 answer:
timurjin [86]3 years ago
6 0
2^5 ... 2 x 2 x 2 x 2 x 2
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The video store sold 5 movies for 12 dollars if 20 movies are sold how many dollars will be earned​
spayn [35]

Answer:

$48

Step-by-step explanation:

The video store sold 5 movies for 12 dollars .

Each movie cost 12/5 dollars

Which is 2.4dollars .

20 movies will be sold for

$2.4 x 20 = $48

6 0
3 years ago
Find the future value and interest earned if $8704.56 is invested for 8 years at 4% compounded (a) semiannually and (b) continuo
Sliva [168]

a) The future value, principal plus interest, with compound interest on a principal of $8,704.56 at a rate of 4% per year compounded 2 times per year over 8 years is <u>$11,949.50</u>.

b) The future value, principal plus interest, with compound interest on a principal of $8,704.56 at a rate of 4% per year compounded continuously over 8 years is <u>$11,987.29</u>.

<h3>How is the future value determined?</h3>

The future value can be determined using an online finance calculator.

Data and Calculations:

<h3>a) Compounded Semiannually:</h3>

Principal (P): $8,704.56

Annual Rate (R): 4%

Compound (n): Compounding Semi-Annually

Time (t in years): 8 years

<u>Result</u>:

A = $11,949.50

A = P + I where

P (principal) = $8,704.56

I (interest) = $3,244.94

<h3>Calculation Steps:</h3>

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 8,704.56(1 + 0.04/2)(2)(8)

A = 8,704.56(1 + 0.02)(16)

A = $11,949.50

<h3>b) Compounded Continuously:</h3>

Using the formula A = Pert

Principal (P):  $8,704.56

Annual Rate (R): 4%

Compound (n): Compounding Continuously

Time (t in years):   8 years

<u>Result</u>:

A = $11,987.29

A = P + I where

P (principal) = $8,704.56

I (interest) = $3,282.73

<h3>Calculation Steps:</h3>

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year,

Then solve the equation for A, using the mathematical constant, e = 2.71828

A = Pert

A = 8,704.56(2.71828)(0.04)(8)

A = $11,987.29

Thus, while the future value of $8,704.56 at a rate of 4% per year compounded semiannually over 8 years is <u>$11,949.50</u>,  the future value of $8,704.56 at a rate of 4% per year compounded continuously over 8 years is <u>$11,987.29</u>.

Learn more about compounding interest at brainly.com/question/24274034

#SPJ1

8 0
1 year ago
F(x) = 2(x - 3)^2 - 2
Natali5045456 [20]

Hi. I was unsure of what exactly you wanted from this equation, so here's a quick analysis:

<em>f(x) = 2(x - 3)^2 - 2</em>

<em></em>

Domain: (-∞, ∞)

Range: (-2, ∞)

X-intercepts: (4, 0), (2, 0)

Y-intercept: (0, 16)

Axis of Symmetry: x = 3

Minimum value (vertex): (3, -2)

Standard form: y = 2x^2 - 12x + 16

4 0
3 years ago
Consuelo's living room is in the shape of a rectangle and has an area of 360 square feet. The width of the living room is 5/8 it
uranmaximum [27]
<h2>Therefore the length of the living room = 24 ft</h2>

Step-by-step explanation:

Given that , Consuelo's living room is in the shape of rectangle and has an area of 360 square feet and the width of the living room is \frac {5}{8}   its length

Let ,the length of the living room is = x ft

Then width =\frac {5}{8}x ft

Therefore the area of the living room =x \times \frac {5}{8}x ft^2

According to problem,

x\times \frac {5}{8}x = 360

⇔\frac{5}{8}x^2=360

⇔x^2 = \frac{360\times 8}{5}

⇔x^2 = 576

⇔x=\sqrt{576}

⇔x = 24

Therefore the length of the living room = 24 ft

8 0
3 years ago
Read 2 more answers
What’s the answer????
Rudik [331]

Answer:

$0.75

Step-by-step explanation:

28.50-24=$4.50

4.50/6=$0.75

6 0
3 years ago
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