2) What type of equation is compound interest formula?
a)logarithmic
b)polynomial
c)exponential
d)linear
e) none of the choices

Answer:

[tex]4116\; {\rm ft^{3}}[/tex], assuming that the two cylinders are of the same height.

Step-by-step explanation:

The volume of a cylinder of radius [tex]r[/tex] and height [tex]h[/tex] is [tex]\pi\, r^{2}\, h[/tex].

If the two cylinders are of the same height [tex]h[/tex], the volume of the two cylinders would be proportional to the square of their radii.

Let [tex]r_{0}[/tex] and [tex]V_{0}[/tex] denote the radius and volume of the smaller cylinder. Similarly, let [tex]r_{1}[/tex] and [tex]V_{1}[/tex] denote the radius and volume of the larger cylinder. Assuming that the height of both cylinders is [tex]h[/tex]:

[tex]V_{1} = \pi\, {r_{1}}^{2}\, h[/tex].

[tex]V_{0} = \pi\, {r_{0}}^{2}\, h[/tex].

Hence, [tex](V_{1}) / (V_{0})[/tex] (ratio between the volume of the larger cylinder and the volume of the smaller cylinder) would be:

[tex]\begin{aligned}\frac{V_{1}}{V_{0}} &= \frac{\pi\, {r_{1}}^{2}\, h}{\pi\, {r_{0}}^{2}\, h} =\frac{{r_{1}}^{2}}{{r_{0}}^{2}}\end{aligned}[/tex].

In this question, it is given that:

Rearrange the equation [tex]\begin{aligned}\frac{V_{1}}{V_{0}} &= \frac{{r_{1}}^{2}}{{r_{0}}^{2}}\end{aligned}[/tex] to find an expression for [tex]V_{1}[/tex], volume of the larger cylinder:

[tex]\begin{aligned}V_{1} &= \frac{{r_{1}}^{2}\, V_{0} }{{r_{0}}^{2}} \\ &= \frac{{(7\; {\rm ft})}^{2}}{{(3\; {\rm ft})}^{2}} \times (756\; {\rm ft^{3}}) \\ &= 4116\; {\rm ft^{3}} \end{aligned}[/tex].

Answer:

Step-by-step explanation:

According to the table 27 out of 50 surveyed households have 2 adults living in their home.

Use same ratio to find the total expected number:

Answer:

check photo for detailed analysis

Answer:

Congrates

Step-by-step explanation:

Answer:

9/20

Step-by-step explanation:

[tex]-\frac{1}{5} (-2\frac{1}{4} )\\\\-\frac{1}{5} (-\frac{9}{4} )\\\\\frac{9}{20}[/tex]

I hope this helps

Answer:
Well I mean There  are multiple solutions I think, a = 26.25

Step-by-step explanation:

Simplifying

12a + 7c = 315

Solving

12a + 7c = 315

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-7c' to each side of the equation.

12a + 7c + -7c = 315 + -7c

Combine like terms: 7c + -7c = 0

12a + 0 = 315 + -7c

12a = 315 + -7c

Divide each side by '12'.

a = 26.25 + -0.5833333333c

Simplifying

a = 26.25 + -0.5833333333c

[tex]12a+7c=315\\\\\implies 12a = 315-7c\\\\\implies a = \dfrac{315-7c}{12}\\\\\implies a = \dfrac{7}{12}(45-c)[/tex]

Based on the cashflow of Project M and its appropriate cost of capital, the NPV can be calculated to be $465.92.

The NPV is the present value of the cash inflows less the present value of the cash outflows.

= ∑ (Cash inflow / (1 + cost of capital) ^ year of inflow) - Cost outflow

Solving gives:

= 610 / 1.07 + 740 / 1.07² + 780/ 1.07³ + 860/1.07⁴ + 360 / 1.07⁵ - 2,300

= $465.92

Find out more on Net Present Value at https://brainly.com/question/22785007.

Answer:

48 square units

Step-by-step explanation:

area of triangle = base * height / 2

base = x+1

height = 8x

area = (x+1)(8x)/2 = (8x²+8x)/2 = 4x²+4x

area of rectangle = length * width = (5x+1)(x) = 5x²+x

set the two areas to be equal to each other

5x²+x = 4x²+4x

divide both sides by x as that is a multiple of each value on each side

5x + 1 = 4x + 4

subtract 4x from both sides to limit the variable to one side

x + 1 = 4

subtract both sides by 1 to isolate the variable

x = 3

area = (5x+1)(x) = (5*3+1)(3) = 16 * 3 = 48 square units

Answer:

[tex]V_{cone}\approx366.33\: cm^3[/tex]

Step-by-step explanation:

Here,

Height of cone (h) = 14 m

Radius of cone (r) = 5 m

[tex]V_{cone}= \frac{1}{3}\pi r^2 h[/tex]

Plugging in the values of h and r in the above formula, we find:

[tex]V_{cone}= \frac{1}{3}(3.14)(5)^2 (14)[/tex]

[tex]V_{cone}= 366.333333\: cm^3[/tex]

[tex]V_{cone}\approx366.33\: cm^3[/tex]

The total amount of the mortgage for Jack and Dina King if the closing costs are financed is $436,344.

Closing costs of a mortgage are the extra expenses that property buyers and sellers usually incur in a real estate transaction.

Some of the closing costs include:

Question Completion and Calculations:

Application Fee $252

Borrower’s Credit Check $65

Points 2.00% of Mortgage = $8,400 ($420,000 x 2%)

Appraisal Fee $325

Title Search $212

Title Insurance $410

Inspection $350

Attorney Fee $450

Documentation Stamp 0.30% of Mortgage = $1,260 ($420,000 x 0.30%)

Processing Fee 1.10% of Mortgage = $4,620 ($420,000 x 1.1%)

Total closing costs = $16,344

Mortgage loan = $420,000

Total amount of financing required = $436,344 ($420,000 + $16,344)

Thus, the total amount of the mortgage for Jack and Dina King if the closing costs are financed is $436,344.

Learn more about closing costs of mortgages at https://brainly.com/question/23894292

Answer:

The answer is 290,837

Answer:

chord divides a circle into two segments

Step-by-step explanation:

please consider as brainlest if i helped yoy

Answer:

Two

Step-by-step explanation:

A chord divides a circle into two segments

Answer:

40/169

Step-by-step explanation:

Answer:

[tex]\sin x = 1-\sqrt 2[/tex]

Step by step explanation:

[tex]~~~\sin^2 x -2 \sin x=1\\ \\\implies \sin^2 x-2 \sin x +1^2 = 1+1\\\\\implies (\sin x - 1)^2 =2\\\\\implies \sin x -1=\pm \sqrt 2\\\\\implies \sin x = 1\pm\sqrt 2\\\\\text{Since}~ -1\leq \sin x \leq 1, ~~ \sin x = 1-\sqrt 2[/tex]

Answer:

x = 5

Step-by-step explanation:

70 - 4x = 30 + 4x

Add 4x on both sides of the equation,

70 - 4x + 4x = 30 + 4x + 4x

70 = 30 + 8x

Subtract 30 from both sides of the equation to isolate 8x,

70 - 30 = 30 + 8x - 30

40 = 8x

Divide both sides of the equation by 8 to solve for x,

40 ÷ 8 = 8x ÷ 8

5 = x

Answer:

= 5 groups.

Step-by-step explanation:

    2. Substitute the equation

                        = 5 groups.

Answer:

that can help because all you need to remember is that the sum of the angles in a triangle is half of the sum of the angles that add up in a quadrilateral.

Answer:51.16

I hope this works for you.

Answer:

Either the variable or unknown number, it depends on what options you have.

Answer:

3x 10^4 NOT NEGATIVE! POSITIVE

Step-by-step explanation:

Dog weight on the moon = A

Directly proportional

200/32 = 50/A

A = 8 pound

[tex]6y^2(y^2+6y+9)\\\\=6y^2(y^2+2\cdot 3 \cdot y + 3^2)\\\\=6y^2(y+3)^2\\\\=6y^2(y+3)(y+3)[/tex]

Answer:

mukaka

Step-by-step explanation:   so you find the 5 packages and the 8 divide the mukaka by the numbers weve got with the answer.

Answer:

For ur information...

Area can never be negative

It will always be positive

The sample size for the part (a) is 269, and the sample size for part (b) is 191 if a margin of error of 5 percentage points and use a confidence level of 90%

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z{score}\times\frac{s}{\sqrt{n} }[/tex]

Where    is the z score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We have:

MOE = 5% = 0.05 and

[tex]\alpha = 1-0.9 \Rightarrow 0.1[/tex]

Let's assume the value of p = 0.5, and q = 0.5

From the table:

[tex]\rm Z_{\alpha/2}\Rightarrow Z_{0.1/2}\Rightarrow Z_{0.05}\Rightarrow 1.64[/tex]

[tex]\rm n = p\times q \frac{Z^2_{\alpha/2}}{MOE^2}[/tex]

[tex]\rm n = 0.5\times 0.5\frac{1.64^2}{0.05^2}[/tex]

n = 268.96 ≈ 269

For part(b)

The value of p = 0.23, and q = 0.77

From the table:

[tex]\rm Z_{\alpha/2}\Rightarrow Z_{0.1/2}\Rightarrow Z_{0.05}\Rightarrow 1.64[/tex]

[tex]\rm n = p\times q \frac{Z^2_{\alpha/2}}{MOE^2}[/tex]

[tex]\rm n = 0.23\times 0.77\frac{1.64^2}{0.05^2}[/tex]

n = 190.53  ≈ 191

Thus, the sample size for the part (a) is 269, and the sample size for part (b) is 191 if a margin of error of 5 percentage points and use a confidence level of 90%

Learn more about the Margin of error here:

brainly.com/question/13990500

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Answer:

1. The size of shift from function f to function g is -12

2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.

Step-by-step explanation:

Parent function: f(x)=2^x

x=0→f(0)=2^0→f(0)=1

x=1→f(1)=2^1→f(1)=2

x=2→f(2)=2^2→f(2)=4

x=3→f(3)=2^3→f(3)=8

x=4→f(4)=2^4→f(4)=16

Size of the shift from function f to function g: s

s=g(0)-f(0)=-11-1→s=-12

s=g(1)-f(1)=-10-2→s=-12

s=g(2)-f(2)=-8-4→s=-12

s=g(3)-f(3)=-4-8→s=-12

s=g(4)-f(4)=4-16→s=-12

Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:

s2=s/2→s2=(-12)/2→s2=-6

x   h(x)

0   1+(-6)=1-6=-5  

1    2+(-6)=2-6=-4

2   4+(-6)=4-6=-2

3    8+(-6)=8-6=2

4    16+(-6)=16-6=10

Answer:

make a stem and leaf plot as it says

Step-by-step explanation:

answer it yourself

Answer:

I'm pretty sure the answer would be marked wrong.

Step-by-step explanation:

Answer:

Hey thats my name!! Anyways sorry I cant help you unless you give the options.

Step-by-step explanation: