Sam and Diane each open a savings account at the same time. Sam invests $4,500 in an account yielding
3.2% simple interest, and Diane invests $5,000 in an account yielding 6.2% simple interest. After twelve
years, who has the greater total of money, and how much greater is it?

Answer:

C , 18

Step-by-step explanation:

Answer:

The sum of the exterior angles of a polygon is always 360°.

Therefore,

[tex]x+2x+3x+5x+9x=360[/tex]

[tex]20x=360[/tex]

Divide both sides by 20:

[tex]\frac{20x}{20}=\frac{360}{20}[/tex]

[tex]x=18[/tex]

Answer:

10

Step-by-step explanation:

10 10 10 1010 10 101 10 10 1o

Answer:

2,400

Step-by-step explanation:

Can I please have brainliest?? thanks!! have an awesome day and good luck with your math :)

Answer:

2,400

Step-by-step explanation:

Answer:

-11 -10 -9

Step-by-step explanation:

I'm not 100% sure

Answer:

-10 , -9 , -8

Step-by-step explanation:

An Integer is a whole number, regardless of the sign (positive or negative).

In this case, the numbers between -12 and -7 are:

-11 , -10 , -9 , -8

So you can decide which 3 integers you want.

~

Answer:

b= 20.8

Step-by-step explanation:

Pythagorean Theorem: a²+b²=c²

a= 12

b= ?

c= 24

Equation: 12²+b²=24²

12²= 144

24²= 576

New equation: 144+b²=576

Find b: 576-144=432

[tex]\sqrt432[/tex]= 20.7846097

Round to nearest tenths: 20.8

b= 20.8

Check answer:

144+432=576

Correct!

Use BODMAS

first solving 12×8

which is = 12×8=96

than add +5

so, 96+5= 101

Answer: 12x8=26+5= 31

Step-by-step explanation:

Answer:

[tex]p = - 5 {x}^{2} + 1000x + 5000 \\ 5500000 = - 5 {x}^{2} + 1000x + 5000 \\[/tex]

solve for x

Step-by-step explanation:

55,000,00=-5x²+1000x+5000

collect like terms

5x²-1000x= -55,000,00+5000

5x²-1000x = -45000

x²=-45000/5=-9000

x²=square root of 9000=3000

recall

5x²-1000x=3000

-1000x=3000

divide both side by coefficient of x

x= -3

Answer:

64 inches

Step-by-step explanation:

We need to convert feet to inches

5 ft = 5*12

= 60

5ft is 60 in

1 ft = 12 in

Add 60 in & 4 in

= 64 in

Hope this helps! Please rate it and press the heart button! Thanks!

Answer:

64

Step-by-step explanation:

12 inches= 1 foot

5 feet= 60 inches

60+4= 64 inches

Answer:

  yes

Step-by-step explanation:

The root of the given linear equation can be made to be a repeated root of a quadratic equation:

  (8x -1)² = 0

Answer:

slope is -1/4 the number before the x is the slope

Step-by-step explanation:

Answer:

The slope is -1/4

Step-by-step explanation:

The equation is written in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

y = -1/4x +1

The slope is -1/4 and the y intercept is 1

Step-by-step explanation:

→ 3x + 4 = 13

→ 3x = 13 - 4 = 9

→ x = 9/3 = 3

→ x = 3

option B is correct

hope this answer helps you dear! take care

Answer:

0, 11/6 , 8/7

Step-by-step explanation:

Answer:

[tex]0, \frac{11}6, \frac87[/tex]

Step-by-step explanation:

Good thing it's already written as a product, which spares us the most complicated (and boring) part.

We know that a product is zero if it's 0 any of the factors.

From the first one [tex]x^2=0 \rightarrow x=0[/tex]

from the second factor [tex]6x-11=0 \rightarrow x=\frac{11}6[/tex]

and finally, for the third one, [tex]7x-8 =0 \rightarrow x = \frac87[/tex]

Answer:

[tex] \: [/tex]

One Square Feet is equivalent to 0.0022956820843815 Decimal.

Hence, to convert Square Feet to Decimal, we just need to multiply the number by 0.0022956820843815.

We are going to use very simple Square Feet to Decimal conversion formula for that.

see the calculation example given below.

Convert 56 Square Feet to Decimal ⇒ 56 Square Feet

= 56 × 0.0022956820843815 = 0.12855819672536 Decimal

Answer:

therefore the correct option is Y-⅓-¾(×-4)

Step-by-step explanation:

Equal of a line

Y-⅓=m(×-×1)

Y-⅓=¾(×-4

Answer:

y -1/3 = 3/4( x-4)

Step-by-step explanation:

We can use the point slope form of an equation of a line

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y -1/3 = 3/4( x-4)

Answer:

more ... The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

For resolve this problem I use trigonometry identities.

[tex]sin(\theta) = \frac{OP}{H}[/tex]

Where [tex]\theta[/tex] is the angle of the triangle (45), [tex]OP[/tex] is the opposite side of the angle ([tex]6\sqrt{2}[/tex]) and the [tex]H[/tex] is the hypotenuse ([tex]x[/tex]).

Replace the know values in the relation

[tex]sin(45) = \frac{6\sqrt{2}}{x}[/tex]

Isolate [tex]x[/tex] of the equation and solve

[tex]\frac{6\sqrt{2}}{sin(45)} = x\\\frac{6\sqrt{2}}{\frac{\sqrt{2}}{2}} = x\\\frac{12\sqrt{2}}{\sqrt{2} } = x\\12 = x[/tex]

So the final answer is [tex]x = 12[/tex]

Answer:

Step-by-step explanation:

downloaded= 5 albums and 7 singles and total price is $71

Know,

           album + singles = 5+7=  12

           ∴ price÷ from total of albums and singles

              $71÷12=$5.92

 per album     = $5.92

 per single     =  $5.92

Next day;

                3+6=9

    total price =$48

                 ⇒ =$48÷9 = $5.3

     per album= $5.3

     per album= $5.3

"""""  I just try to Solve """"""

Answer:  Singles are $3/each and albums are $10 each.

Step-by-step explanation:

Let A and S represent the number of Albums and Singles, respectively.

We are told that:

5A + 7S = $71

and also that:

3A + 6S = $48

We have two equations and 2 unknowns.  Use elimination to find the price of one and then that will tell us the price of the other.  I'll choose to eliminate the A:

5A + 7S = $71

3A + 6S = $48

We can do the elimination in one of 2 ways:

1)  Solve one of the equations for A or S, and substitute it in the other:

3A + 6S = $48

3A  = $48 - 6S

A  = ($48 - 6S)/3

Now use this definition of A in the first equation:

5A + 7S = $71

5(($48 - 6S)/3) + 7S = $71

5(($48 - 6S)/3) + 7S = $71

$80 - 10S + 7S = $71

-3S = - 9

S = $3

Now we can find A:

5A + 7S = $71

5A + 7(3) = $71

5A + 21 = $71

A = $10

======

2)  We could also modify one of the equations and then subtract to eliminate a variable:

5A + 7S = $71

3A + 6S = $48

Let's multiply the second equation by -(5/3):

-(5/3)*(3A + 6S = $48)

-5A - 10S = -90

Now add this to the first equation:

5A + 7S = $71

-5A - 10S = -80

  - 3S = - 9

S = $3 and therefore A = $10

Answer:

Angle PRQ is the same as NRM so therefore one of the three angles for both triangles is the same. Angle QPR and NMR are both 90 degrees and so the last angle must be the same in order for the three angles to be 180 degrees in total.

Step-by-step explanation:

Hope This Helps!!!

Answer:

D

Step-by-step explanation:

First find the slope.

[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{5-[-9]}{4-[-3]}=\dfrac{5+9}{4+3}\\\\\\=\dfrac{14}{7}=2[/tex]

Point slope form:

y - y1 = m(x -x1)

y -[-9] = 2 (x - [-3])

y +9 = 2 (x + 3)

The equation that represents the total cost of the club will be y = 2.20x + 28.90.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

To join the discourse and discussion club, there is a $28.90 beginning charge and a $2.20 yearly expense.

Let 'x' be the number of years and 'y' be the total cost. Then the equation is given as,

y = 2.20x + 28.90

Where the number 2.20 represents the slope and the number 28.90 represents the y-intercept of the line.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

#1

y is decreasing

[tex]\\ \sf{:}\dashrightarrow \dfrac{x-y}{x}(100)=\dfrac{1}{5}(100)=1(20)=20\%[/tex]

#2

y is increasing

[tex]\\ \sf{:}\dashrightarrow \dfrac{3}{8}(100)=37.5\%[/tex]

Answer: The width is 5.

Step-by-step explanation:

'(2+w)+(2+w)+2w=24

4+4w=24

W=5

Answer:

-31/6, -/26, -5, -5/6

first choice is the answer

Answer:

1/2=(A+B)

area of triangle=1/2×base×height

Answer:

22w - 18

Step-by-step explanation:

To find the perimeter we have to add up all the sides

10w-10+w+1+10w-10+w+1

combine light terms

22w - 18 would be our answer

Answer:

2(10w-10)+2(w+1) =

20w-20+2w+2 =

22w-18

Answer:

None of these are correct

Step-by-step explanation:

XZ = XY + YZ = 48 + 50 = 98

Answer:

57777788999999888889999

Answer:

13

Step-by-step explanation:

1 plus 1 plus 6 plus 3 plus 2 equals 13

Answer:

Scale factor is 1/4

Step-by-step explanation:

You can easily calculate the scale factor of anything by dividing the new length by the old one. Then just simplify if necessary.

TS is 8, and T'S' is 2, so:

[tex]\frac{2}{8}=\frac{1}{4}[/tex]

edit: fixed fraction

Answer:

Every time the y-value decreases by 1, the x-value increases by 2, so the slope is -1/2 throughout the line.

Step-by-step explanation:

Answer:

It is the on below because I did an FLVS test and got it right

Step-by-step explanation:

It is fraction 1 over 3 throughout the line.