Mateo invested $4100 in a savings account with a yearly interest rate of 5%
for 15 years. How much simple interest did he earn?
A. $205.00
B. $307.50
C. $3075.00
$2050.00

d^2= (7-1)^2 + (12-4)^2

d^2= 6^2+8^2= 36+64= 100

d=\sqrt{100} = 10

M= ((4+6)/2, (4+8)/2)

M= (5, 6)

Answer:

x = 2

Step-by-step explanation:

Answer:

-3x2

Step-by-step explanation:

x=2:(-3)2=(-6)

not (-3)(-2) negative times negative is always positive, negative times positive is always negative

Answer:

The initial distance between Wade and Alexandra is 240ft.

They walk towards each other.

Alexandra walks twice as fast as Wade.

Now, because they are walking towards each other, when the distance walked by both of them equals 240 ft, they will meet.

Then:

if Wade walks z ft, Alexandra walks 2*z ft.

So we have the equation:

Distance that Wade walked + Distance that Alexandra walked = 240ft

z + 2*z = 240ft

3*z = 240ft

z = 240ft/3 = 80ft

They will meet when Wade walks 80ft.

Complete question :

Wade and Alexandra are 240 feet apart when they start walking toward one another. Alexandra walks twice as fast as Wade so whenever Wade travels x feet, Alexandra travels 2x feet. Let z represent the number of feet Wade has

traveled since he started walking toward Alexandra.

Write an expression in terms of z to represent the total number of feet Wade and Alexandra have walked toward one another.

b. Write an expression in terms of z to represent the distance (in feet) between Wade and Alexandra

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Initial distance between Wade and Alexandra = 240 feets

Alexandra walks twice as fast as wade :

Feets traveled by Wade = x

Feets traveled by Alexandra = 2x

Let z = feets traveled by wade since he started walking towards Alexandra

A.) Number of feets they've traveled towards one another in terms of z:

Number of feets traveled by wade = z

Number of feets traveled by Alexandra = 2z

Hence, total feets traveled towards one another :

(distance covered by Wade + distance covered by Alexandra)

= ( z + 2z) = 3z feets

B.) Distance between Wade and Alexandra:

Initial distance - distance covered

(240 - 3z) feets

Answer:

(−8,0)∪(0,∞)

Step-by-step explanation:

This is composition, which I'm going to assume you've covered (sorry if I use any weird terms because of that).

So, anyway, (f/g)(x) is basically [tex]\frac{f(x)}{g(x)}[/tex].

In this case, the answer would be [tex]\frac{\frac{1}{x} }{\sqrt{x+8} }[/tex]

I'm going to assume we're using the real number system.

In that case, x can't be less than 0 (can't even be equal to because divide by zero error

So, [tex]\sqrt{x+8} > 0[/tex]

Solve for x by squaring.

[tex]\sqrt{x+8} > 0[/tex]

[tex]x > -8[/tex]

However, in the numerator, there is 1/x. A number divided by 0 is undefined. So, x has to be greater than -8, and it can't be 0.

So, with that, the interval notation is like this.

(−8,0)∪(0,∞)

Answer:

(12, 30)

Step-by-step explanation:

Answer:

283,957 cameras

Step-by-step explanation:

Profit generated =  cost  - Revenue

Given

Cost function C(x) = 3.5x + 185000

Revenue function R(x) = x(125 -0.0005x)

Profit =  $6,000,000

To get the value of x, we will substitute the given parameters into the formula as shown;

$6,000,000 = 3.5x + 185000 - x(125 -0.0005x)

$6,000,000 = 3.5x + 185000 - 125x +0.0005x²

0.0005x²-121.5x + 185000 - 6,000,000 = 0

0.0005x²-121.5x-5815000 = 0

On solving the resulting quadratic equation

x = 283,956.91736581  and -40956.917365805

Ignoring the negative value, the minimum camera that must be sold is approximately  283,957 cameras

Step-by-step explanation:

5x^2 +5x - x^2 + 3x -7 -12

or, 4x^2 + 8x - 19

This is the solution of this question..

Step-by-step explanation:

1st rearrange like terms

5x^2-x^2+5x+3x-7-12

then add/ subtract the rearranged like terms

4x^2+8x+19

finally there's no similar to simplify

Answer:

36

Step-by-step explanation:

in 5x+2=17, you solve and get x=3. Then you do 12(3) to get 36.

Answer:

[tex]x=-1/8[/tex]

Step-by-step explanation:

Since this is a vertical line, our x-value stays constant no matter what y is.

So, the x is constant while the y changes.

Therefore, the equation of our vertical line will simply be the x-value of our coordinate point.

Our point is (-1/8, 4/3).

The coordinate is -1/8.

Therefore, our equation is:

[tex]x=-1/8[/tex]

And we're done!

Answer:

y + 3 ≥ 26

Step-by-step explanation:

Answer:

y+3>26

     -

hope this helps!!

Answer:

-3/7, 1/4, 1/2

Step-by-step explanation:

The larger the denominator the smaller the fraction.

nevermind about my answer then oops

Answer:

16

Step-by-step explanation:

Using PEMDAS, anything in the parenthesis must be solved first which would make 8/2(2+2) turn into 8/2(4). Next for this equation according to PEMDAS, you must divide, turning 8/2(4) into 4(4), and 4 times 4 is 16. :)

Answer:

17

Step-by-step explanation:u will make the second fraction postive it will be 12+4 which is 16 and a half plus a half is a whole

Answer: 17

Step-by-step explanation:

Answer:

10 times 4 ten thousands = 40 ten thousands

Step-by-step explanation:

Answer:

2(x + 10)

Step-by-step explanation:

The perimeter is all the sides added together so you times the length by 2, (8 × 2 = 16). Then the width by 2 ( 2 × (x+2) = 2x + 4) add them together

16 + 2x + 4

2x + 20

take out the highest common factor of 2

2(x + 10)

Answer:

c=17

Step-by-step explanation:

Answer:

The correct answer is C, 17

Step-by-step explanation:

you have to do 3 times 3 and then add that to 2 times 2 times 2

Answer:

You will not win in the wrong run

Step-by-step explanation:

if you pay $51.00 to play one game and won you would have $2.00 back and you would have payed $49.00 to play a game

Answer: 1.  All the numbers within the whole

number set {0,1,2,3,...) as well as

all of the opposites.  Integers

2. The result of adding two or more

Numbers. Sum

3. The result of subtracting one

number from another.  difference

4. A number that is multiplied by

another number  factor

5. A number to be divided by

another number. dividend

6. A number by which another

number is to be divided. divisor

7. Two or more factors multiplied

together results in this. product

8. A dividend is divided by a divisor

and the result is this. quotient

9.  Also called reducing means to

make the fraction as simple as possible.  the simplest form

10. It is the largest number that

divides exactly into two or more numbers. Least Common Denominator

11. The smallest number that is a

multiple of two or more numbers

The LCM  or Least Common Multiple

12. Using unit factors to convert measurements. Dimensional Analysis

Step-by-step explanation:

It took a while to sort all of the questions out. I hope this is a study guide, not  a test

answer:

-21 and -29

Step-by-step explanation:

The product of those 2 will = to a positive number

Answer:

The answer to this question can be defined as follows:

[tex]\text{Seasonal Indices} \\\\\left \begin{array}{cc} \bold{Season}&\bold{Index}\\\text{Winter} & 0.704\\ \text{Spring}& 1.061 \\\text{Summer} & 1.518 \\ \text{Fall} & 0.717 \end{array}\right\\[/tex]

Step-by-step explanation:

please find attached file.

The coordinates of B are (-2, -6).

Given that the midpoint of AB is M(3, -1) and coordinates of A(8, 4).

We need to find the coordinates of B.

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. The formula for the midpoint of a line segment with coordinates is (x, y)=((x1+x2)/2, (y1+y2)/2).

Let the coordinates of B be (a, b)

Now, (3, -1)=((8+a)/2, (4+b)/2)

⇒3=(8+a)/2 and -1 =(4+b)/2

⇒6=8+a and -2=4+b

⇒a=-2 and b=-6

Therefore, the coordinates of B are (-2, -6).

To learn more about the midpoint of the line segment visit:

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Answer:

multiply everything in the bracket e.g f multiplied by -g + 7.g multiplied by 6 =-1 -9g+7g6 but what is he full question? hun

Answer: 3.(3f+14g not sure if I’m correct that’s just what I got

Answer:

x-65=-49 (x=16)

Step-by-step explanation:

65 less (_-65)

than a number (x)

equals -49 (=-49)

combined x-65=-49

extra part: -49+65=16

Answer:

The answer is 16

Step-by-step explanation:

-49 + 65 = 16

Since it says 65 less than a number the equation would look like ?-65= -49. What I did was add -49 to 65 and I got 16.

Answer:

[tex]x<4[/tex]

Step-by-step explanation:

[tex]-3x-5-2x>-25[/tex]

Subtract the x terms:

[tex]-5x-5>-25[/tex]

Add 5 to both sides:

[tex]-5x-5+5>-25+5[/tex]

[tex]-5x>-20[/tex]

Multiply both sides by -1 and flip the inequality symbol:

[tex]5x<20[/tex]

Divide both sides by 5:

[tex]\frac{5x}{5}<\frac{20}{5}[/tex]

[tex]x<4[/tex]

Answer:

Option 1

Step-by-step explanation:

Step 1: Write inequality

Step 2: Solve for x

Answer:

Step-by-step explanation:

Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)

Given P = 30ft, on substituting P = 30 into the expression;

30 = 2(x+y)

x+y = 15

y = 15-x

Also since the area of the rectangle is xy;

A = xy

Substitute y = 15-x into the area;

A = x(15-x)

A = 15x-x²

The function that models its area A in terms of the length x of one of its sides is A = 15x-x²

The side of length x yields the greatest area when dA/dx = 0

dA/dx = 15-2x

15-2x = 0

-2x = -15

x = -15/-2

x = 7.5 ft

Hence the side length, x that yields the greatest area is 7.5ft.

Since y = 15-x

y = 15-7.5

y = 7.5

Area of the rectangle = 7.5*7.5

Area of the rectangle = 56.25ft²

Answer:

B

Step-by-step explanation:

I THINK B

Answer:

The answer is (8x20)-(8x1)

Answer:

The variable, g, represents

✔ the number of grapes Graciella had

.

The equation that correctly models the problem is

✔ g/6 = 16

.

To undo what has been done to the variable,

✔ multiply by 6

on both sides of the equation.

The solution of the equation is

✔ g = 96

.

Check the solution by substituting

✔ 96

in for g and simplifying.

The solution of the equation will be g = 96.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The variable, g, represents the total number of grapes that Graciella had.

The equation that correctly models the problem is:

g/6 = 16

To undo what has been done to the variable, we can multiply both sides of the equation by 6:

g = 6 x 16

g = 96

Therefore, Graciella had 96 grapes.

To check the solution, we substitute 96 for g in the original equation:

g/6 = 16

96/6 = 16

16 = 16

The equation is true, so our solution of g = 96 is correct.

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Answer:

x = 15

Step-by-step explanation:

Answer:

20x+10=y

Step-by-step explanation: