Shawn has a bank account with $4,625. He decides to invest the money at 3.52% interest,
compounded annually. How much will the investment be worth after 9 years? Round to
the nearest dollar.

Answer:

x = 0

Step-by-step explanation:

[tex]4+9(3x-7)=-42x-13+23(3x-2)\\4+27x-63=-42x-13+69x-46\\27x+4-63=-42x+69x-13-46\\27x-59=25x-59\\2x-59=-59\\2x=0\\x=0[/tex]

Answer:

see below.

Step-by-step explanation:

1st row has four small boxes

2nd row has three big boxes

big box 1 has no items ragged in it.

big box 2 has small box 1 and also small box 1 dragged into it.

big box 3 has small box 3 and small box 4 dragged into it.

Answer:

Hope it helps <3

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▹ Answer

Use a graphing calculator. Attached is an image.

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

(-2,-1), (2,1), (4,2)

Step-by-step explanation:

This is how I did it: (took me like a minute)

Draw a graph or get graph paper. You could also probably find a graph online that you can write on.  (remember to label)

Now mark two points of the line. So for this question you could use (0,0) and (2,1).

Now draw a line connecting both points.

Finally you can check whether the points are on the line or are not.

Hope this helps!

Answer:

The concert starts at 7:45 pm and ended at 1:35 am which mean the concert going on 5 hours and 50 minutes.

Given:

D=165 feet and the frequency of the motion is 1.6 revolutions per minute.

Solution:

The radius is half of the diameter.

The radius of the wheel is 82.5 feet.

[tex]T=\frac{1}{1.6} \text{ minutes}[/tex]

As we know: [tex]\omega=\frac{2\pi}{T}[/tex]

Substitute the value of T in the above formula.

[tex]\omega=\frac{2\pi}{\frac{1}{1.6}}\\\omega=3.2\pi[/tex]

If the center of the wheel is at the origin then for [tex]t=0[/tex] the rest position is [tex]-a[/tex].

This can be written as:

[tex]h(t)=-a\cos(\omega t)\\h(t)=-82.5cos(32.\pi t)[/tex]

The actual height of the rider from the ground is:

[tex]h(t)=\text{ Initial height from bottom}+\text{ radius}-82.5\cos(3.2\pi t)\\h(t)=15+82.5-82.5\cos(3.2\pi t)\\h(t)=97.5-82.5\cos(3.2\pi t)[/tex]

The required equation is [tex]h(t)=97.5-82.5\cos(3.2\pi t)[/tex].

Answer:

16 Years

Step-by-step explanation:

Answer:

C : A salesperson earns $50 plus $10 for every $100 of merchandise he sells.

Step-by-step explanation:

If a salesperson earns $50 plus $10 for every $100 of merchandise he sells, the rate of change is 100. The linear equation is T = 50 + 100h, where T is the total amount he earns and h is the number of $100 in merchandise he sells.

The example that represents the constant rate will be a salesperson who earns $50 plus $10 for every $100 of merchandise he sells. Then the correct option is C.

It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.

Let's check all the options, then we have

A: You drive from Colorado to Texas. In the first 4 hours, you cover 240 miles, and in the second 5 hours, you cover another 240 miles. It is an example of a linear function but the slope gets changed after 2 hours.

B: The money you put in the bank earns 5% Interest. This means that the bank pays you 5% of the amount of the money kept in the bank each year. It is an example of the exponential function.

C: A salesperson earns $50 plus $10 for every $100 of merchandise he sells. It is an example of a linear function.

D: The number of bacteria doubles every hour.  It is an example of the exponential function.

The example that represents the constant rate will be a salesperson who earns $50 plus $10 for every $100 of merchandise he sells. Then the correct option is C.

More about the average rate change link is given below.

https://brainly.com/question/28744270

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Answer:

16 km

Step-by-step explanation:

From Washington, as the question asks, will now be considered 0 aka the starting point.

So as of now, we know Washington from Oakdale is 6.2 km.

And from Stanford to Salem is 11.9 km, also Salem to Washington is 10.3 km. Hence the addition of 11.9 km and 10.3 km to figure out the whole distance between Stanford and Washington.

11.9 km + 10.3 km = 22.2 km

Now we subtract 22.2 km to 6.2 km for the product of 16 km.

Step-by-step explanation:

5q+8p=775

q + p = 125

5q + 8q = 775

-5q -5q = -625

3q = 150

q = 50 premium

q + 50 = 125

q = 75 quick

Correct answer is

A: 5x+8y=775 and x+y =125

Next Answer is

50 premium car washes

75 Quick Car Washes

Answer:

If the correlation coefficient is 1, then the slope must be 1 as well.

Step-by-step explanation:

Coefficient of correlation is used in statistics to determine the relationship between two variables. Correlation coefficient and slope always have same sign. It measures the strength of linear relation between two variables. The values of correlation coefficient ranges between 0 to 1. where 0 determines that there is no relationship between two variables.

Answer:

10 units²

Step-by-step explanation:

The shape is a triangle.

The area can be found by multiplying the base (in units) with height (in units) divided by 2.

base = 4 units

height = 5 units

[tex]\frac{4 \times 5}{2}[/tex]

[tex]\frac{20}{2} =10[/tex]

you can imagine this as a venn diagram. the "or" event would consist of everything in both sides and the middle of the venn diagram because you can choose form either event x or event y.

the "and" event would consist of everything in the middle of the venn diagram because you choice must be a part of both event x and event y.

the complement of an event is just everything that is not included in the event. for example, in a coin flip, the complement of heads is tails. in a dice roll, the complement of {1,2} is {3,4,5,6}

so if you come across these just think "either or" or "both and." and remember that the complement is everything excluding what is listed.

i apologize if this does not help, im not that great at explaining things

Answer:

It is the first graph

Step-by-step explanation:

Just got it right on the test review :)

Inequalities help us to compare two unequal expressions. The graph shows that all the values of x that satisfies the given inequality are x>7. Thus, the correct option is A.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given inequality can be solved as,

[tex]\dfrac29(x+3) > 4(\dfrac59)\\\\\dfrac{2x+6}{9} > \dfrac{20}{9}\\\\2x + 6 > 20\\\\2x > 20 - 6\\\\x > \dfrac{14}{2}\\\\x > 7[/tex]

Hence, the graph shows that all the values of x that satisfies the given inequality are x>7. Thus, the correct option is A.

Learn more about Inequality:

https://brainly.com/question/19491153

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Answer:

Hey there!

The circumference of a circle is [tex]\pi(d)[/tex], where d is the diameter, and [tex]\\\pi[/tex] is a constant roughly equal to 3.14.

The diameter is 16, so plugging this into the equation, we get 3.14(16)=50.24.

The circumference of the circle is 50.24 yards.

Hope this helps :)

Answer

B. 27

firist divide 9÷2=4.5

the formula

=1/2×4.5×6

=13.5

cause there are 2 triangles. let's multiply 13.5 with 2

13.5×2= 27²

Answer:

The volume of the solid is: [tex]\mathbf{V = \pi [ \dfrac{8 \pi}{3} - 2\sqrt{3}]}[/tex]

Step-by-step explanation:

GIven that :

[tex]y = 2 + sec \ x , -\dfrac{\pi}{3} \leq x \leq \dfrac{\pi}{3} \\ \\ y = 4\\ \\ about \ y \ = 2[/tex]

This implies that the distance between the x-axis and the axis of the rotation = 2 units

The distance between the x-axis and the inner ring is r = (2+sec x) -2

Let R be the outer radius and r be the inner radius

By integration; the volume of the of the solid  can be calculated as follows:

[tex]V = \pi \int\limits^{\dfrac{\pi}{3}}_{\dfrac{-\pi}{3}} [(4-2)^2 - (2+ sec \ x -2)^2]dx \\ \\ \\ V = \pi \int\limits^{\dfrac{\pi}{3}}_{\dfrac{-\pi}{3}} [(2)^2 - (sec \ x )^2]dx \\ \\ \\ V = \pi \int\limits^{\dfrac{\pi}{3}}_{\dfrac{-\pi}{3}} [4 - sec^2 \ x ]dx[/tex]

[tex]V = \pi [4x - tan \ x]^{\dfrac{\pi}{3}}_{\dfrac{-\pi}{3}} \\ \\ \\ V = \pi [4(\dfrac{\pi}{3}) - tan (\dfrac{\pi}{3}) - 4(-\dfrac{\pi}{3})+ tan (-\dfrac{\pi}{3})] \\ \\ \\ V = \pi [4(\dfrac{\pi}{3}) - tan (\dfrac{\pi}{3}) + 4(\dfrac{\pi}{3})- tan (\dfrac{\pi}{3})] \\ \\ \\ V = \pi [8(\dfrac{\pi}{3}) - 2 \ tan (\dfrac{\pi}{3}) ][/tex]

[tex]\mathbf{V = \pi [ \dfrac{8 \pi}{3} - 2\sqrt{3}]}[/tex]

Answer:

  The y-intercept is the number of minutes for producing vegetable cans when no minutes are used for fruit cans

Step-by-step explanation:

The problem statement tells you y is the number of minutes for producing vegetable cans. The y-intercept is the y-value when x = 0.

The y-intercept is the number of minutes for producing vegetable cans when no minutes are used for fruit cans.

Answer:

The y-intercept, at the point (0, 6), designates the choice to compose vegetables for 6 minutes. In 6 minutes, making 64 cans of vegetables per minute, 384 cans for the order decree performed. The 0 for the x-value designs that no time spent producing cans of fruit.

Step-by-step explanation:

I got it right on edgenuity

Answer:

[tex]A +B+C+D = 3[/tex] is the correct answer.

Step-by-step explanation:

Given:

[tex]$\frac{5}{2+\sqrt{6}}$[/tex]

To find:

[tex]A+B+C+D = ?[/tex] if given term is written as following:

[tex]$\frac{A\sqrt{B}+C}{D}$[/tex]

Solution:

We can see that the resulting expression does not contain anything under [tex]\sqrt[/tex] (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

[tex]\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \ (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}[/tex]

Comparing the above expression with:

[tex]$\frac{A\sqrt{B}+C}{D}$[/tex]

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, [tex]A +B+C+D = 5+6-10+2 = \bold3[/tex]

Answer:

The  number expected to pass that test is  [tex]k = 14 \ employees[/tex]

Step-by-step explanation:

From the question we are told that

      The probability of  success is  p  =  0.91

       The sample size is  n  =  15  

 The number of employee that will pass the test is mathematically represented as

          [tex]k = n * p[/tex]

substituting values

        [tex]k = 15 * 0.91[/tex]

      [tex]k = 14 \ employees[/tex]

Answer:

8 servings

Step-by-step explanation:

Spice required for one serving, using the rice-to-spice ratio to calculate:

David can make servings according to amount of spice he has:

Answer: David will be able to make 8 servings

Answer: 8

Step-by-step explanation:

Answer:

length= 42

width = 7

Step-by-step explanation:

surface area of a equilateral by hand a 140.4 cm and 9cm

Answer:

The answer is 1 - 16b.

Step-by-step explanation:

You have to collect like-terms :

[tex]1 - 5b - b - 8b - 2b[/tex]

[tex] = 1 + b( - 5 - 1 - 8 - 2)[/tex]

[tex] = 1 + b( - 16)[/tex]

[tex] = 1 - 16b[/tex]

Answer:

The answer is

Step-by-step explanation:

1 – 5b + – b + – 8b – 2b can be written as

1 - 5b - b- 8b - 2b

Subtract the like terms

That's

We have the final answer as

1 - 16b

Hope this helps you

Answer:

A = 59.63cm^2

Step-by-step explanation:

You have the following function for the surface area of the container:

[tex]A=\pi r^2+\frac{100}{r}[/tex]                (1)

where r is the radius of the cross sectional area of the container.

In order to find the minimum surface are you first calculate the derivative of A respect to r, to find the value of r that makes the surface area a minimum.

[tex]\frac{dA}{dr}=\frac{d}{dr}[\pi r^2+\frac{100}{r}]\\\\\frac{dA}{dr}=2\pi r-\frac{100}{r^2}[/tex]         (2)

Next, you equal the expression (2) to zero and solve for r:

[tex]2\pi r-\frac{100}{r^2}=0\\\\2\pi r=\frac{100}{r^2}\\\\r^3=\frac{50}{\pi}\\\\r=(\frac{50}{\pi})^{1/3}[/tex]

Finally, you replace the previous result in the equation (1):

[tex]A=\pi (\frac{50}{\pi})^{2/3}+\frac{100}{(\frac{50}{\pi})^{1/3}}}[/tex]

[tex]A=59.63[/tex]

The minimum total surface area is 59.63cm^2

Answer:

The graph at the bottom left in your group of possible answers.

Step-by-step explanation:

Notice that the original given graph corresponds to the equation:

[tex]y=2x+1[/tex]

since the line's slope is 2/1 = 2 and the y-intercept is at the point (0, 1).

So if one modifies the equation multiplying the current slope by 1/2, and the y intercept increased by 3 units, Then the new function would be:

[tex]y=x+4[/tex]

A line of slope 1 and y-intercept at (0, 4)

Notice that the graph at the bottom left in your possible answers is representing such function.

Answer:

Answer Y: or Bottom Left of Given Answers

Step-by-step explanation:

Answer:

woman is 37, girl is 7

Step-by-step explanation:

7(x-2) = y-2

4(x+3) = y+3

7x - 14 = y - 2

7x - 12 = y

4x + 9 = y

3x - 21 = 0

x = 7

y = 37

Answer: B

Step-by-step explanation:

Answer:B

Step-by-step explanation: I took the edge quiz and it was right.

Answer:

L = 45°

Step-by-step explanation:

1. 82° + 53° = 135°

2. 180° - 135° = 45°

3. Angle L is 45°

I hope this helps.

Answer:

x=-7, y= -20

Step-by-step explanation:

2x - y =6

x - y = 13

when I subract (x-y =13 ) from (2x-y =6)

2x -y =6

-x +y=-13

______________

x = -7

substitute x=-7 in the second equation

-7 - y =13

-y = 13 +7

-Y = 20

Y=-20

x=-7, y= -20

Answer:

x= -7/6

y= -25/3

Step-by-step explanation:

2x-y =6

4 x-y =13

Firstly, 4x-y=13(-)  =>> - 4x+y=-13

Then we make the sum and result 6x= -7. Result x= -7/6.

We need to find y. So:  

-y= 6-2x =>>  y= -6 +2x =>> y= -6 +2*(-7/6) =>> y= -6-7/3 =>> y=(-18-7)/3 =>>y= -25/3