mr johnson borrowed $750 for 1 year. he has to pay 6% simple interest. how much interest will he pay?

[tex]\sf \longmapsto45 - 2x = 75 - 3x[/tex]

[tex]\sf \longmapsto45+−2x=75+−3x[/tex]

[tex]\sf \longmapsto−2x+45=−3x+75[/tex]

[tex]\sf \longmapsto \: −2x+45+3x=−3x+75+3x[/tex]

[tex]\sf \longmapsto \: x+45=75[/tex]

[tex]\sf \longmapsto \: x+45−45=75−45[/tex]

[tex]\sf \longmapsto \: x=30[/tex]

[tex] \boxed{\sf 30}[/tex]

Answer:

Student 1

Step-by-step explanation:

Student one attempts to divide both sides by -2, however only divides one term by -2, instead of all the terms

Answer:

the slope rise/run = 4/6

Answer:

5n-4

Step-by-step explanation:

The rule of the sequence is 5n-4.

If n=1 then 5(1)-4=1 because 5x1=5 and 5-4=1

If n=2 then 5(2)-4=6 because 5x2=10 and 10-4=6

If n=2 then 5(3)-4=11 because 5x3=15 and 15-4=11

If n=2 then 5(4)-4=16 because 5x4=20 and 20-4=16

If I earned $2 more than Andrew at the end of the day, then the value of t  is [tex]1\frac{2}{3}[/tex]

Number of hours that I used to work = 1 hour

My hourly pay =  $3t - 3

My total pay at the end of the day = Number of hours x hourly pay

My total pay at the end of the day = 1 (3t - 3)

My total pay at the end of the day = $ 3t - 3

Number of hours that Andrew used to work = 3t -5 hour

Andrew's hourly pay =  $2

Andrew's total pay at the end of the day = Number of hours x hourly pay

Andrew's total pay at the end of the day = 2 (3t - 5)

Andrew's total pay at the end of the day = $ 6t - 10

At the end of the day, I earned $2 more than Andrew

My total pay = Andrew's total pay + 2

3t - 3   =  6t - 10  +  2

6t  -  3t  =  -3 +10 - 2

3t  =  5

t  =  5/3

[tex]t = 1\frac{2}{3}[/tex]

If I earned $2 more than Andrew at the end of the day, then the value of t  is [tex]1\frac{2}{3}[/tex]

Learn more here: https://brainly.com/question/25765213

Answer:

>

>

>

Step-by-step explanation:

Answer:

6×3×4= 72 unit cubes

................................

Answer:

the answer is 10,700 :)

Step-by-step explanation:

Answer:

6u - 15/2 inches

Step-by-step explanation:

(2/3)rope = 4u - 5

multiply both sides by 3/2

rope = 6u - 15/2

[tex]\dfrac{\tfrac 27}8 = \dfrac 2{7 \times 8} = \dfrac 2{56} = \dfrac 1{28} = 1:28[/tex]

Answer:

Buy from Tickets Inc.

Step-by-step explanation:

[tex]y +1 = 2x~~~...(i)\\\\y^2 = 3x -2~~~...(ii)\\\\\text{From equation (i):}\\\\y +1 = 2x \\\\\implies y = 2x -1~~~....(iii)\\\\\text{Substitute} ~y = 2x-1~ \text{in equation (ii):}\\\\(2x-1)^2 = 3x-2\\\\\implies 4x^2 - 4x +1 = 3x -2\\\\\implies 4x^2 -4x -3x +3 =0\\\\\implies 4x(x-1) -3(x-1)=0\\\\\implies (x-1)(4x-3)=0\\\\\implies x =1 ~\text{or}~ x = \dfrac 34\\\\\text{Substitute x = 1 in equation (iii):}\\\\y = 2 -1 =1\\\\[/tex]

[tex]\text{Substitute}~ x = \dfrac 34 ~\text{in equation (iii):}\\\\\\y = 2\left(\dfrac 34 \right) -1 = \dfrac 32 -1 = \dfrac 12\\\\\text{Hence,}\\\\(x,y) = (1,1)\\\\\text{And}\\\\(x,y) = \left(\dfrac 34 , \dfrac 12 \right)[/tex]

Answer:

Perimeter = 24p + 17

Step-by-step explanation:

Perimeter = the sum of the sides of the figure.

Perimeter = (7p + 9)  + (10p - 1) + (7p + 9)

Perimeter = (7p + 10p + 7p) + (9 - 1 + 9)

Perimeter = 24p + 17

Answer:

24p+17

Step-by-step explanation:

Perimeter of triangle = 2(7p+9)+(10p-1)

                                  = 14p+18+10p-1

                                   = 24p+17

Answer:

425,601,006

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

Step-by-step explanation: The equation of a straight line is given by:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

The slope of the line 2x + 5y = 10 is:

2x + 5y = 10

5y = -2x + 10

y = -2/5x + 10

Hence the slope of the line 2x + 5y = 10 is -2/5

Since both lines are parallel, hence the slope of the other line is the same (-2/5). Hence the equation of the line is:

The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

Isolate y

[tex]\\ \sf\longmapsto 5y=-2x+10[/tex]

[tex]\\ \sf\longmapsto y=-2/5x+2[/tex]

Parallel line has equal slope

Equation of line in point slope form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y+4=-2/5(x-5)[/tex]

[tex]\\ \sf\longmapsto 5y+20=-2x+10[/tex]

[tex]\\ \sf\longmapsto 2x+5y+10=0[/tex]

Answer:

1. 25/24

2. 7/6

3. 4/3

4. 6/8 or 3/4

5. 5/4

1. 1

2. 1/4

3. 2/10 or 1/5

4. 7/3

5. 13/6

Answer:

I don't know but

1+2=3

3+3=6

6+4=10

10+5=15

if this helps you make any sense of it.. tell me

Step-by-step explanation:

Answer:

These are triangular numbers.

Step-by-step explanation:

The explicit formula for the nth term of the sequence id 1/2n(n+1).

So for, example, the 6th term =  1/2*6(6+1)

= 21.

They all fit exactly into equilateral triangles.

Answer: g=2

Step-by-step explanation:

Remove the parentheses

7- (-3)g=13

Move the constant to the right

7+3g=13

Calculate

3g=13-7

Divide both sides

39=6

Answer:

g=2

Answer:

Option D

Hope this helps!

Answer:

x² + 8x + 15

Step-by-step explanation:

(x +3)(x+5)

=> x² + 5x + 3x + 15

=> x² + 8x + 15

So, after simplifying, we can conclude that x² + 8x + 15 is our answer. Hoped this helped.

Answer:

See Below:

Step-by-step explanation:

So, first of all. to find the equation of the line, the equation has to be in [tex]y=mx+b[/tex] form. In this for the following are:

Solving

So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).

To solve for the slope, we can use rise over run to find the equation.

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Upon inserting our points into the equation, we get a slope of -1.

[tex]\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1[/tex]

Creating The Equation

To create the equation in [tex]y=mx+b[/tex] form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.

[tex]y=-1x-2[/tex]

We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.

We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.

Cheers!

Answer: y= 9

Step-by-step explanation: x, y= 9

Answer:

Step-by-step explanation:

Facts to know :

-diagonals of rhombus are angle bisector so angle A is double 28

∡A = 28*2 = 56°

-opposite angles in a rhombus are congruent so angle A and angle C have the same measure

∡C = 56°

-the sum of angles in a rhombus is 360°

360 - 2*56 = 360-112 = 248

248 /2 = 124

∡B = ∡D = 124°

We want to see for which values of x does the rational expression make sense. We will see that the expression makes sense for x ≤ 0

We know that the argument of a square root can only be a real number equal to or larger than zero.

In this case, we have the expression:

[tex]\sqrt{(-2x)^2} = (\sqrt{-2x} )^2[/tex]

One would want to directly cancel the square root with the 2 exponent, but we can't do that, because in the right-side expression we would have a complex number if the argument is smaller than zero.

The first thing we need to do is to make the argument equal or larger than zero:

-2x ≥ 0

x ≤ 0/-2

x ≤ 0

So the given expression only makes sense for x ≤ 0

If you want to learn more about rational expressions, you can read:

https://brainly.com/question/18545256

Answer: No, the answer is All Real Numbers

Step-by-step explanation: e

Answer:

  200 kg

Step-by-step explanation:

If w is the amount of water added, then the concentration of the solution is ...

  salt/solute = 100(0.30)/(100 +w) = 0.10

  30 = 10 +0.10w . . . . . simplify

  20 = 0.10w . . . . . . . . subtract 10

  20/0.10 = w = 200 . . . . divide by 0.10

200 kg of water must be added to dilute the solution to 10%.