Each year on the same day, Susan deposits $100 into a savings account that earns simple interest at a rate of 3%. She makes no withdrawals. How much interest has Susan’s account earned after 2 years?

9514 1404 393

Answer:

Step-by-step explanation:

The x-terms are the same in each equation, so subtracting one equation from the other will eliminate the x-variable.

The y-terms are opposites in the two equations, so adding the two equations will eliminate the y-variable.

Both strategies (subtracting, adding) are applicable to this system of equations.

The answer is (2,4,2)

Answers:

========================================================

Explanation:

Rule: The interior (inside) angles of a triangle always add to 180

K+L+M = 180

5x+9x+4x = 180

18x = 180

x = 180/18 ... divide both sides by 18

x = 10

That x value directly leads to...

As a check,

K+L+M = 50+90+40 = 180

This confirms we have the right x value.

--------------------------

We can further say,

note how interior angles K and L add to exterior angle LMN

50+90 = 140

This is an application of the remote interior angle theorem.

Answer:

Angle K = 50

Angle L = 90

Angle KML = 40

Angle LMN = 140

Step-by-step explanation:

Solve for x. We know that triangles' interior angles add up to 180.

So, we can set the values to equal to 180 and solve for x.

5x + 9x + 4x = 180

Simplify.

18x = 180

Now, divide by 18.

x = 10

Now, plug 10 in for each angle.

Angle K = (5 * 10) = 50

Angle L = (9 * 10) = 90

Angle KML = (4 * 10) = 40

For this last angle, we use the supplementary theorem that says "angles that are supplementary to each other add up to 180".

So, we do angle LMN + 40 = 180

Angle LMN = (180 - 40) = 140

#teamtrees #WAP (Water And Plant)

Answer:

45

Step-by-step explanation:

Answer:

a = 45

b = 15

Step-by-step explanation:

From the information given, you can deduce that both ΔPQR and ΔPSR are isosceles triangles that share base PR. This means that ∠a = ∠SRP because the base angles of an isosceles triangle are always congruent.

Because the vertex of ΔPSR is 90°, you know that the base angles add up to 90 because 180(sum of a triangle's angles) - 90 = 90. 90/2 = 45, so a = 45.

To find b, you need to subtract the base angle of ΔPSR from the base angle of ΔPQR. ΔPQR's base angle is 60, because 180 - 60 = 120 and 120/2 = 60. 60 - 45 = 15, so b = 15.

Complete Question

A certain 50 cm spring will stretch (in  cm) one fifth  the weight (in kg) attached to  it. How long will the spring be if a 35  kg weight is attached to it

Answer:

The value is [tex]L_w = 57 \ cm[/tex]  

Step-by-step explanation:

The length of the spring is [tex]L = 50 \ cm = 0.5 \ m[/tex]

 The  mass attached to it is  [tex]w = 35 \ kg[/tex]

Generally given from that the spring will stretch one fifth of the weight  (in kg)attached to it , it then means that the  new length of the spring whenever a weight is attached to it is mathematically represented as

          [tex]L_w = L + \frac{W}{5}[/tex]

=>      [tex]L_w = 50 + \frac{35}{5}[/tex]  

=>      [tex]L_w = 57 \ cm[/tex]  

Answer:

Я могу заплатить, но я никогда не хотел

Победы любой ценой.

Я никогда не хотел, чтобы чья-то грудь была под моей ногой.

Я бы лучше остался здесь с тобой,

Просто остался здесь с тобой,

Но звезда, что высоко в небе, по-прежнему показывает мой путь.

Step-by-step explanation:

Answer:

x = 1/9

Step-by-step explanation:

we want to solve the proportion;

we simply cross multiply the values

Mathematically, that will be calculated as follows;

6x * 21 = 2 * 7

6x * 21 = 14

6x = 14/21

2(3x) = 2(7/21)

3x = 7/21

3x = 1/3

x = 1/3/3

x = 1/9

Answer:

x= 5/3-2y/3

y= 5/2-3x/2

Step-by-step explanation:

i solved it woww

Answer:

y= -6/9 x + 3

Step-by-step explanation:

subtract 6x from both sides

9y = -6x + 27

divide by 9

y= -6/9 x + 3

Answer:

Step-by-step explanation:

6x + 9y = 27

9y = -6x + 27

y = -[tex]\frac{6}{9}[/tex]x + 3

y = - [tex]\frac{2}{3}[/tex]x + 3

=================================================

Explanation:

Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).

Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.

As a way to check the answer, we can say

g(x) = 2x^2 + 6x + 5

g(-5) = 2(-5)^2 + 6(-5) + 5

g(-5) = 25

So the answer is confirmed.

Answer:

k = 0.3

Step-by-step explanation:

Multiply both sides by 2 * k

3 = 5 * 2*k      Combine like terms on the right

3 = 10 * k        Divide by 10

k = 3/10

k = 0.3

Answer:

(1 /a+ 1/b) (a+b-c)+(1/b+1/c) (b+c-a) + (1/c+1/a)(c+a-b)

plz solve this question

Step-by-step explanation:

3 is the ans

Answer:

the first option

Step-by-step explanation:

BED = 180°-65°

= 115°

Answer:

115°

Step-by-step explanation:

Since CE is perpendicular to AD , then ∠ AEC = 90° and

∠ BEC = 90° - 65° = 25° , then

∠ BED = ∠ BEC + ∠ DEC = 25° + 90° = 115°

Answer:

10a-10ab-7b

Step-by-step explanation:

i dont feel like putting the steps but ik this is correct

The answer is -4a -8ab -7b after subtracting  8b - ab + 7a from 3a - 9ab + b.

It is defined as the combination of constants and variables with mathematical operators.

We have two expressions:

8b - ab + 7a and  3a - 9ab + b

After subtracting:

= (3a - 9ab + b) - (8b - ab + 7a)

= -4a -8ab -7b

Thus, the answer is -4a -8ab -7b after subtracting  8b - ab + 7a from 3a - 9ab + b.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Answer:

kk 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Set A:

-2

2

3

-4

Set B:

1

6

-1

**** -2 goes with 6

2 goes with -1

3 goes with 1

-4 goes with1

Answer:

need more info

Step-by-step explanation:

plz comment so i know

Answer:

y = 6/11x + 5

Step-by-step explanation:

y + 1 = 6/11 (x + 11)

distribute 6/11

y + 1 = 6/11x + 6

  - 1              - 1

y      = 6/11x + 5

Hope this helps!!

Also, mark me brainliest thank you!!!

In case you don't know how click the crown at the bottom of this answer next to the comments button.

Answer:

126%

Step-by-step explanation:

Answer: 126/100 126%

Step-by-step explanation:

It will take seven months for the population of each city to be the same.

On month seven, Salisa's population will be 14,600. (300x7=2,100+12,500=14600)

On month seven, Corsair's population will be 14,600 as well. (200x7=1,400+13,200=14600)

Answer:

6 hours

Step-by-step explanation:

Answer:

c would be the closest

Step-by-step explanation:

All triangles equal 180*. so if you combine the 2 angles, which adds up to 77* then that would leave the third angle to be 103* but since that isnt an option choose c since its the closest.

Answer:

Slope: 1

Step-by-step explanation:

y = mx + b

m = Slope

y = x - 4

m = 1

Answer:

C. The circle was translated down 5 units in dilated by factor of 1/3

Step-by-step explanation:

The circle was translated down 5 units in dilated by factor of 1/3

Answer:

C

Step-by-step explanation:

Answer:Step-by-step explanation:

the first one and third one

Answer:=18x+6

Step-by-step explanation:

3(4x+8)+3(2x-6)

12x+24+6x-18

12x+6x+24-18

18x+6

(If one square on the graph = one centimeter)

b = 10cm

b = 10cmh = 10cm

Area:

[tex] = \frac{1}{2} \times b \times \: h[/tex]

[tex] = \frac{1}{2 } \times 10 \times 10[/tex]

[tex] = \frac{1}{2} \times 100[/tex]

[tex] = 50 {cm}^{2} [/tex]

Answer:

hey

Step-by-step explanation:

the answer is 5