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serious [3.7K]
3 years ago
14

Hannah deposited the same amount of money into her savings account each month after 5 months she had $2,550 into the savings acc

ount after 8 months she had $3,300 and the savings account create an equation that models the amount a and the savings account after x months not included interest show your work ever explain how you determine your equation
Mathematics
1 answer:
DiKsa [7]3 years ago
5 0

Answer:

  • a = 250x + 1300

Step-by-step explanation:

We have pairs (5, 2550) and (8, 3300)

<u>Find the rate of change:</u>

  • (3300 - 2550)/(8 - 5) =
  • 750/3 =
  • 250

$250 is the amount added to savings account every month

<u>Initial amount was:</u>

  • 2550 - 5*250 =
  • 2550 - 1250 =
  • 1300

<u>Since the change is linear and we have y-intercept and slope, we can show the amount after x months as:</u>

  • a = 250x + 1300
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Answer:

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Brums [2.3K]

Answer: x = 4

Step-by-step explanation:

2(x+1)=10

Distributive properties

a*(b+c)=(a*b)+(a*c)

Using distributive properties

Then

2*(x+1)=(2*x)+(2*1)

2*(x+1)=2x+2

Now, commutative properties

a*b=b*a

Addition is cumulative

a+(-b)=(-b)+a

Therefore applying to 2x+2

2x+2+(-2)=2x+(-2)+2

Then, applying to the equation

2x+2+(-2)=10+(-2), +×-=-

2x+2 -2=10-2

2x=8

Using division properties

ax=b

If a is none zero

Then ax/a=b/a

Therefore x=b/a

Applying that to 2x=8

2x=8. Divide both side by 2 which is none zero

2x/2= 8/2

x=4

Option B

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7 0
3 years ago
Solve algebraically the simultaneous equations<br><br> X^2 + Y^2 =25<br> Y-2X = 5
Georgia [21]

Answer:

Therefore the solutions are

x=0\\and\\ y =5\\\\Or\\\\x=-4\\and\\y=-3

Step-by-step explanation:

Given:

x^{2} + y^{2} =25 .........( 1 )

y-2x = 5\\y=2x+5     ................( 2 )

To Find:

x = ?

y = ?

Solution:

Substituting ' y ' in Equation  1 we get

x^{2}+(2x+5)^{2} =25

Using identity (A+B)²=A²+2AB+B² we get

x^{2}+4x^{2}+20x+25=25\\\\5x^{2}+20x=0\\5x(x+4)=0\\5x=0\ or\ x+4=0\\x=0\ or\ x= -4

Now Substitute x =0 in equation 2 we get

y=2\times 0+5=5

Or

Now Substitute x =-4 in equation 2 we get

y=2\times -4+5=-3

Therefore the solutions are

x=0\\and\\ y =5\\\\Or\\\\x=-4\\and\\y=-3

4 0
4 years ago
Is the point (-1,5) a solution to the equation y=2x-4?
lyudmila [28]
No because if you plug in -1 for x and 5 for y 5 doesn’t equal -6. You just plug in the point as x and y and if the equation is true then the point is a solution.
4 0
4 years ago
Find the Area of the figure below, composed of parallelogram and two semicircles.
Makovka662 [10]

Answer:

622.13 square units

Step-by-step explanation:

Area of the composite figure = area of parallelogram + area of circle

Note: 2 semicircles = 1 full circle

Area of the figure = a*h + πr²

Where,

a = 22

h = 11

r = ½ of 20 = 10

Plug in the value into the equation

Area = 22*11 + π*11²

Area = 242 + π*121

Area = 622.13271108 ≈ 622.13 square units (nearest tenth)

4 0
3 years ago
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