You have $5,000 to invest for ten years. Crown of The Sun bank pays compound interest at an annual rate of 4.5%. Calculate your balance after 10 years. Round to the nearest hundreth

Answer:

x = -166, y = 34

Step-by-step explanation:

5(x+2y) - 3 = 3x+5

4(x-3y) - 50 = -33y

Open both equations

5x+10y - 3 = 3x+5

2x+10y = 8

4x-12y - 50 = -33y

4x+21y = 50

Now multiply -2 on both sides of 1st equation.

(easier to add both equations.)

-4x+-20y = -16

4x+21y = 50

Add both equations

x cancels out

y = 34

plug y back into other equation to find x

2x + 340 = 8

2x = -332

x = -166

Answer:

y = 34, x = -166

Step-by-step explanation:

Let's simplify the first equation.

5(x + 2y) - 3 = 3x + 5

We can multiply the 5 out:

5x + 10y - 3 = 3x + 5

Now let's isolate x on one side, although you can choose to isolate y if you want to. Subtract 3x on both sides:

2x + 10y - 3 = 5

Add 3 on both sides and subtract 10y on both sides.

2x = 8 - 10y

Divide 2 on both sides.

x = 4 - 5y

Now to the next equation!

4(x - 3y) - 50 = -33y

Multiply 4 out:

4x - 12y - 50 = -33y

Add 12y and 50 on both sides.

4x = -21y + 50

Now divide 4 on both sides!

x = -5.25y + 12.5

Now we have these equations:

x = 4 - 5y

x = -5.25y + 12.5

Therefore 4 - 5y = -5.25y + 12.5

Once again let's isolate the variable. Let's add 5.25y on both sides and subtract 4 on both sides:

0.25y = 8.5

Now multiply by 4 on both sides to bring y's coefficient to 1:

y = 34

Let's substitute the y value into the equation x = 4 - 5y to get x = 4 - 136 = -132

Answer:

0.8

Step-by-step explanation:

28/35=number of questions Leo got right

28/35=0.8=number of questions Leo got right

Answer:

408in[tex]^{2}[/tex]

Step-by-step explanation:

1.) First, find the area of the base (**If you don't know how to do this, just find the length and width, then multiply them together). Since there aren't any other measurements, I'm guessing all sides are 12 inches (12x12=144).

2.) Next, find the area of the triangle. Use 12 and 11 as your measurements in this case (12x11=132).

3.) Now, divide your answer from step 2 (132) by 2 (132/2=66). This is because usually, triangles are HALF of the area of a square. If you skip this step, you will have made a cube instead of a pyramid.

4.) Multiply the answer from step 3 (66) by 4 (66x4=264), since there's 4 triangles on the pyramid.

5.) Add the answer from steps 4 (264) and 1 (144). This should get you the TOTAL surface area (408in[tex]^{2}[/tex]).

The number of ways  5 puppies can be chosen from a litter of 8 puppies is 56 ways

Permutation has to do with arrangement while combination has to do with selection.

From the queston, since we are to select 5 puppies from a litter of 8 puppes, this can be done as shown:

8C5 = 8!/(8-5)!5!

8C5 = 8!/3!5!

8C5 = 8*7*6*5!/6*5!

8C5 = 8* 7

8C5 = 56ways

Hence the number of ways  5 puppies can be chosen from a litter of 8 puppies is 56 ways

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Answer: The answer is You must be at least 35 years old to be president.

Step-by-step explanation: i just did this

The distance that the handler move from the starting point to the return point if he creates an arc of a circle with radius 75 feet is 471 feet

The formula for calculating the circumference of a circle is expressed as:

C = 2πr

r is the radius of the circle

Given the following parameters

r = 75ft

Substitute the parameters to have:

C = 2(3.14)(75)
C = 471feet

Hence the distance that the handler move from the starting point to the return point if he creates an arc of a circle with radius 75 feet is 471 feet

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Answer:

f(7) is -17

Step-by-step explanation:

Plug in seven for x:

-2 (7) + 3 (4-5)

-14 + 3 (-1)

-14 + -3

-17

Answer:

Step-by-step explanation:

about 7% (not exactly 7%, just about)

Answer:

About 7% sodium.

The rest is information you may find important later.

For homemade chocolate chip cookies.

__________________________________________________________

Questions about percentage? Feel free to ask me in the comments box.

Answer:       31/55 = 0.56364

Step-by-step explanation:

STEP 1:         Simplify   3/22

Equation at the end of step 1:

7/10 - 3/22

STEP 2:   Simplify 7/10

Equation at the end of step 2:

7/10 - 3/22

STEP 3:Calculating the Least Common Multiple : 3.1    Find the Least Common Multiple       The left denominator is :       10       The right denominator is :       22 

Answer:

I think it's 15.

Step-by-step explanation:

I would double check that though cuz it kinda seems like a trick question in a way. But i'm not sure.

Answer: 1320 ways

Step-by-step explanation:

In this scenario, 12 finalists are eligible for the money draw and no finalist can win more than one prize.

So for the 1st prize we have 12 finalists

For the 2nd prize we have 11 finalists

And finally, for the 3rd prize we have 10 finalists

Using the multiplication principle:

Total number of ways = 12 x 11 x 10

= 1320

Therefore, there are 1320 ways the first, second, and third prizes be awarded

Answer:

5.28

Step-by-step explanation:

i hope this is the right answer. have a good day !

Answer:

The weight is 5.28 pounds

Step-by-step explanation:

16*0.33=5.28

The expressions which produce a quadratic function is the product of the provided binary functions (ab)(x).

A quadratic function is the function in which the unknown variable is one and the highest power of the unknown variable is two. The standard form of the quadratic function is,

[tex]f(x)=ax^2+bx+c[/tex]

Here,(a,b, c) is the real numbers and (x) is the variable.

The two function for the variable x is given as,

[tex]a(x) = 2x - 4[/tex]

[tex]b(x) = x +2[/tex]

These are the binary function, and the product of two binary function provide a quadratic function. The product or the multiplication of these two function will provide a quadratic function. Thus,

[tex]a(x) b(x)= (2x - 4)(x+2)\\(ab)(x)=2x^2+4x-4x-8\\(ab)(x)=2x^2-8[/tex]

Thus, the expressions which produce a quadratic function is the product of the provided binary functions (ab)(x).

Learn more about the quadratic function here;

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Answer:

shouldnt that suppose to be 24

Step-by-step explanation:

oxxx and xxxo is kanda same isnt it/

Answer:

6 feet

Step-by-step explanation:

C. 6 feet

Length of Side g is 6 feet

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

Given,

∠F = 49°

Length of side f = 7 feet

∠G = 40°

length of side g = ?

According Sine rule,

[tex]\frac{\sin E}{e}=\frac{\sin F}{f}=\frac{\sin G}{g}[/tex]

[tex]\frac{\sin 49}{7}=\frac{\sin 40}{g}[/tex]

[tex]{g}=7(\frac{\sin 40}{sin 49})[/tex]

g = 5.96 ≈ 6

Hence, length of side g is 6 feet.

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Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

15 ^3  * 15 ^ -7   =    15^3 / 15^7 =  1 / (15^7 -3) = 1/(15 ^4)

Answer:

x=-2

Step-by-step explanation:

Using function concepts, it is found that the correct statements are:

A Time is the independent variable.

D Distance is the dependent variable.

E Rate of change is Δdistance/Δtime

G Ted's rate of change is 10 miles per hour.

J Jason's rate of change is 20 miles per hour.

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

In this problem, the distance depends on the time, hence distance is the dependent variable and time is independent, which means that options A and D are correct.

The rate of change is given by the change in the output(dependent) divided by the change in the input(independent), hence option E is correct.

For Ted, the rate is of 10 mph, while for Jason, it is of 20 mph. Hence options G and J are correct.

More can be learned about functions at https://brainly.com/question/25537936

Answer:

4

Step-by-step explanation:

Heres how I got it!

12 tsp of salt=x of tablespoons

We know that for every 3 teaspoons, there is 1 tablespoon. So, we just need to divide!

12/3=4 tablespoons

Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

the question asks us to rationalise the given expression ! thus , we'll just have to remove the √7 from the denominator by any means.

well , let's start ~

[tex] \frac{2 \sqrt{3} }{ \sqrt{7 } - 3} \\ \\ \implies \: \frac{2 \sqrt{3} }{ \sqrt{7} - 3} \: \times \: \frac{ \sqrt{7} + 3}{ \sqrt{7} + 3} = \frac{2 \sqrt{21} + 6 \sqrt{3} }{( \sqrt{7) } {}^{2} - (3) {}^{2} } \\ \\ \implies \: \frac{2 \sqrt{21} + 6 \sqrt{3} }{7 - 9} \\ \\ \implies \: \frac{2 \sqrt{21} + 6 \sqrt{3} }{2} \\ \\ \implies \: \frac{\cancel{2}( \sqrt{21} + 3 \sqrt{3)} }{\cancel{2} } \\ \\\bold\red{ \implies \: \sqrt{21 } + 3 \sqrt{3}} [/tex]

hope helpful :D

Answer:

A True

Step-by-step explanation:

I am in 12th grade and make straight A's trust me on the answer

Yes it is true that if we know the value of [b], the slope of the regression line, we can accurately guess the value for the correlation coefficient without looking at the scatterplot.

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data.

Given is the statement -

" If we know the value of [b] the slope of the regression line, we can accurately guess the value for the correlation coefficient without looking at the scatterplot ".

A correlation coefficient is a statistical measure of the degree to which changes to the value of one variable predict change to the value of another. Mathematically, it is given by -

[tex]$r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}[/tex]

The slope of the regression line can be used to estimate the correlation coefficient without looking at the scatterplot. For '+' slope, the  correlation coefficient is positive and for '-' slope the correlation coefficient is negative.

Therefore, yes it is true that if we know the value of [b], the slope of the regression line, we can accurately guess the value for the correlation coefficient without looking at the scatterplot.

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Area of base:-

Volume:-

Answer: It is 1.2 in decimal number format

Please give brainliest if this makes the most sense!

According to the information, it can be inferred that the option that is closest to the area occupied is 40 square feet (option A).

To calculate the total area covered with brick and concrete we must identify how many sections of brick the garden will have, according to the image it can be inferred that there are four sections of brick and concrete in total.

According to the above, what we must do is multiply the area of the section by the number of sections (4).

So option A, 40 square feet is the closest to the total area occupied by bricks. Then it would be the correct option.

Learn more about square feet in: https://brainly.com/question/11426645

Answer:

True

Step-by-step explanation:

5 x 4 - 4 = 16

5 x 3 + 1 = 16

Answer:

$646,841

Step-by-step explanation:

Got it right on Edge