Find the volume of the prism. Please help!

Answer:

$22,883

Step-by-step explanation:

Principal Amount ( P ) = $16250

Interest Rate ( r ) = 4.9% or 0.049( divide by 100)

Term ( t ) = 7

Compounded monthly( n ) = 12

Formula for Compound Interest:

A = P ( 1 + r/n)^nt

A = Future value

Solution:

Substitute the given values of P, r, n and t to the formula for the compound interest.

A = $16250 ( 1 + 0.049/12)^(7)(12)

A = $16250 ( 1.004083333)^(84)

A = $16250 ( 1.408184955 )

A = $22,883

Answer:

The answer is 405

Step-by-step explanation:

FIrst you would do 27 times 30 which is 810 then you would divided by 2 which in turn gives you 405

Hope this helped!

Answer:

[tex]4 \sqrt{2}[/tex]

Step-by-step explanation:

Rewrite 32 as the product of 16 and 2:

[tex]\implies \sqrt{32}=\sqrt{16 \cdot 2[/tex]

Apply exponent rule [tex]\sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]

[tex]\implies \sqrt{16 \cdot 2}=\sqrt{16}\sqrt{2}[/tex]

Rewrite 16 as 4²:

[tex]\implies \sqrt{16}\sqrt{2}=\sqrt{4^2}\sqrt{2}[/tex]

Apply exponent rule [tex]\sqrt{a^2}=a[/tex]

[tex]\implies \sqrt{4^2}\sqrt{2}=4 \sqrt{2}[/tex]

Answer:

4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

[tex]\sqrt{32}[/tex]

= [tex]\sqrt{16(2)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{2}[/tex]

= 4[tex]\sqrt{2}[/tex]

Answer:

1/4, 3/10, 7/20, 2/5

Step-by-step explanation:

1/4 = 25%

3/10 = 30%

7/20 = 35%

2/5 = 40%

find the value of n.

8 × 2^3n = 2^12

n = 3

[tex]\sf\ given \:: \: 8 \times 2 ^{3n} [/tex]

[tex]\sf\rightarrow 8 \times 2 ^{3n} \: = {2}^{12} [/tex]

[tex]\sf\rightarrow {2}^{3n} = {2}^{12} \: \: (8 = {2}^{3} )[/tex]

[tex] \sf\rightarrow {2}^{3n + 3} = {2}^{12} \: \: \: ( {a}^{m} \times {a}^{n} = {a}^{m + n} )[/tex]

Equating powers since bases are same.

[tex]\sf\rightarrow 3n \: + 3 = 12[/tex]

[tex]\sf\rightarrow 3n \: + 3 - 3 = 12 - 3[/tex]

[tex]\sf\rightarrow 3n = 9[/tex]

Divide both sides by 3.

[tex]\sf\rightarrow n = 3[/tex]

Thus the value of n is 3 .

Answer:

18 region

Step-by-step explanation:

step 1. 11+11+1=23

step 2. 23-41= -18 region

Answer:

Step-by-step explanation:

1. 150 * π/180

= 150π/180

= 5π/6

=2.62

2. π/2

π/2 * 180/π

= 90 degrees

Step-by-step explanation:

1)150° 's radian measure

[tex] \rm \implies150 \: Deg × π/180 = 2.618 \: Radians[/tex]

2)π/2 's degree measure

[tex] \rm \: \implies \: π/2 × 180/π= 180/2 = 90 \: degrees[/tex]

Basically,we need to use formulas to solve these type of sums.

The graph of the parent function y = x² transformed to produce the graph of y = 3(x+1)². It is translated 1 unit left and stretched vertically by a factor of 3.

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

The graph of the parent function y = x² transformed to produce the graph of y = 3(x+1)²

We need to find how the parent function transformed to produce the graph of y = 3(x+1)².

The parent graph is shifted 1 unit towards the left by the rule of transformation.

[tex]f(x) = f(x+1)[/tex]

By applying this rule then,

[tex]y(x) = f(x+1)^2[/tex]

Now, the parent function stretched vertically 3 times the previous graph  by the rule

[tex]f(x) = 3f(x)[/tex]

Apply this rule then, we get

[tex]y(x) = 3(x+1)^2[/tex]

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Composite functions is a way of substituting one function into another. The value of the composite function f(g(1)) is 1

Composite functions is a way of substituting one function into another.

Given the function expressed as:

y = 3√x + 1

g(1) from the mapping is 0

Substitute g(1) = 0 into the given function to have:

f(g(1)) =  3√0 .+ 1

f(g(1)) =0 + 1
f(g(1))  = 1

Hence the value of the composite function f(g(1)) is 1

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Answer:

s = 156.25 square meters

Step-by-step explanation:

s = 2lw + 2lh + 2wh

s = 2(5.5)(3) + 2(3)(7.25) + 2(5.5)(7.25)

s = 33 + 43.5 + 79.75

s = 156.25 square meters

Answer:

We know,

[tex] \quad [/tex][tex]{\boxed{ \rm{Surface \: Area_{ \: (rectangular \: prism)} = 2(lb + bh + hl)}}}[/tex]

where,

[tex] \: [/tex]

[tex] {\longrightarrow { 2 ( 5.5 \times 3 + 3 \times 7.25 + 7.25 \times 5.5 ) }} [/tex]

[tex] \longrightarrow [/tex] 2 ( 16.5 + 21.75 + 39.875 )

[tex] \longrightarrow [/tex] 2 ( 78.125 )

[tex] \longrightarrow [/tex] 156.25

Thus, The Surface Area of rectangular prism is 156.25cm².

[tex] \rule{200pt}{2pt} [/tex]

[tex]\footnotesize{\boxed{ \begin{array}{cc} \small\underline{ \sf{\pmb{ \blue{More \: Formula}}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}[/tex]

The amount that he spend in total for food on Friday will be $ 40.80. Then the correct option is C.

The sum is also know as addition.

The table below represents a breakdown of food costs for Robert, a traveling salesman.

The amount that he spend in total for food on Friday will be

→ 13.30 + 10.76 + 16.74

→ $ 40.80

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Answer:

44.98

Step-by-step explanation:

[tex]\cfrac{2}{x^2-25}~~ - ~~\cfrac{3x}{x^2-4x-5}\implies \cfrac{2}{\underset{\textit{difference of squares}}{x^2-5^2}}~~ - ~~\cfrac{3x}{(x+1)(x-5)} \\\\\\ \cfrac{2}{(x-5)(x+5)}~~ - ~~\cfrac{3x}{(x+1)(x-5)}\implies \cfrac{(x+1)2~~ - ~~(x+5)3x}{\underset{\textit{using this LCD}}{(x+1)(x-5)(x+5)}} \\\\\\ \cfrac{2x+2-3x^2-15x}{(x+1)(x-5)(x+5)}\implies \cfrac{2-3x^2-13x}{(x+1)(x-5)(x+5)}\qquad x\ne -1,\pm 5[/tex]

why can't it be -1 or 5 or -5? if it ever does become that, the denominator will go poof and the fraction undefined.

Answer:

step 1

Step-by-step explanation:

in step one,  it should have been 2 x 7 x 1000

Answer:

step 1

Step-by-step explanation:

In step 1 he separated 7000 as 7×100. but it should be 7×1000 or 70×100 because its 7000 not 700

Answer:

Infinitely many solutions

Step-by-step explanation:

Equations can either have no solutions, one solution, or infinitely many solutions.

Examples:

Given: 3(2x − 4) = 2(3x − 6)

Distribute:

3(2x − 4) = 2(3x − 6)

3(2x) + 3(−4) = 2(3x) + 2(−6)

6x − 12 = 6x − 12

As both sides of the equation are identical, this equation has an infinite number of solutions.

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The standard form of the expanded polynomial, is expressed as: 7r² - 6r - 9.

The standard form of a polynomial is expressed by writing the term with the highest exponent or power first, while the constant is written last.

Given the polynomial:

(8r² - 7r - 9) + (-r² + r)

Distribute to open the bracket

8r² - 7r - 9 - r² + r

Combine like terms

7r² - 6r - 9 (standard form)

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Step-by-step explanation:

speed = distance/time

distance = speed × time.

so, for the first 4 hours

distance = 60 m/h × 4 h = 240 miles

and for the next hour

distance = 40 m/h × 1 h = 40 miles

she traveled therefore

240 + 40 = 280 miles

the answer was 280, Take your chances with it, I did it on edgeinuity but it wont let me show the screenshot i took

Answer:

A) in Step 2

Step-by-step explanation:

Notice that x+6 and x-2 are factors of the expression, and they must be set equal to 0. The correct step would be x+6=0 and x-2=0. This student used the incorrect signs for the factors.

Answer:

Common Factor is 4.

Step-by-step explanation:

-8b + 4

Both have a 4 in it.

-8b + 4 / 4 = -2b

Answer:

incomplete

or

The first one

Step-by-step explanation:

hope this helps

have a good day

Answer:

37°

Step-by-step explanation:

sum of exterior angles of a polygon is 360°

so, 41+(x+13)+(2x-14)+(3x-22)+(x-3)+38+(x+11)=360

8x+64=360, subtract 64 from both sides

8x=296

x=37°

Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.

According to this question, Marcus had to drive to a job training workshop in a city 225 miles away from his home.

He was paid $0.55 per mile each way and was also given a motel and meal allowance of $145 per day for the four-day training.

This means that Marcus was paid as follows:

Therefore, Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.

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Answer:

1,695,675

Step-by-step explanation:

Me using the calculator <3

Answer: The solution of x is 2.5

Step-by-step explanation: hope it helps:)

Answer: [tex]x=\frac{5}{2}[/tex]  

Step-by-step explanation:

Simplify the expression:

[tex]-2x+14+10x=34[/tex]

[tex]\left(-2x+10x\right)+14=34[/tex]

[tex]8x+14=34[/tex]

Group all constants on the right side of the equation:

[tex]8x+14-14=34-14[/tex]

[tex]8x=34-14[/tex]

[tex]8x=20[/tex]

Isolate the x:

[tex]\frac{8x}{8}=\frac{20}{8}[/tex]

[tex]x=\frac{20}{8}[/tex]

[tex]x=\frac{5\cdot 4}{2\cdot 4}[/tex]

[tex]x=\frac{5}{2}[/tex]

The [tex]CORRECT[/tex]answer to this solution is: [tex]x=\frac{5}{2}[/tex]

[tex]calderonj4588~:)[/tex]

Answer:

last option, x = -1

Step-by-step explanation:

[tex]x^{2} + 2x + 1 = 0\\x_{1} = \frac{-2 + \sqrt{2^{2} - 4(1)(1) } }{2(1)}\\x_{2} = \frac{-2 - \sqrt{2^{2} - 4(1)(1) } }{2(1)}\\x_{1} = \frac{-2 + \sqrt{0} }{2}\\x_{2} = \frac{-2 - \sqrt{0} }{2}\\x = \frac{-2}{2} \\x = -1[/tex]

The value of x by using the Quadratic Formula is,

⇒ x = - 1

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

Equation is,

⇒ x² + 2x + 1

Now, We can use the Quadratic Formula for x as;

⇒ x² + 2x + 1

⇒ x = - 2 ± √2² - 4×1×1 / 2

⇒ x = - 2 ± √4 - 4 / 2

⇒ x = - 2 / 2

⇒ x = - 1

Thus, The value of x by using the Quadratic Formula is,

⇒ x = - 1

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Answer:

so the volume of our cone is exactly π ! As we all know, this can be approximated as volume ≈3.14159