You invest $10,000 into two accounts. One account earns 5% annually and the other earns 8% annually. If the total interest earned from both accounts in a year is $590, how much is invested in each account?​

Answer:

Step-by-step explanation:

Use DESMOS to plot both lines (attached).

If you make your own lines on the graph paper, pick two points for each line and connect them with a ruler.  Both are straight lines, so we only need two points.

Pick any two values of x and solve each equation for y.  I picked x = 1 and 3

EQ1:  y=2x-2

EQ2:  y=-x+4

Value of y    EQ1  EQ2

           x =1     0       3

           x =3    4        1

Plot the points (1,0) and (3,4) for EQ1.

Do the same for EQ2:  (1,3) and (3,1)

The attached graph shows these points.  Note that one can draw stright lines for both equations using only these two points.

Answer:

5

Step-by-step explanation:

Kindly, your question is not compete and clear

Answer:

x=11

y=118

Step-by-step explanation:

pls can i have brainliest if im right

Answer:

x = 34°

y = 118°

Step-by-step explanation:

As ∠y and 62° are on the same line but lines P and Q are parallel to each other, they both add up to 180:

y + 62 = 180

y = 180 - 62

y = 118°

As this angle and 4x - 18 are corresponding angles, they both equal the same so:

4x - 18 = 118

4x - 18 + 18 = 118 + 18

4x = 136

[tex]\frac{4x}{4} = \frac{136}{4}[/tex]

x = 34°

Hope this helps!

Answer:

n a math class with 26 students, a test was given the same day that an assignment

was due. There were 17 students who passed the test and 18 students who completed

the assignment. There were 15 students who passed the test and also completed the

Answer:

3/26

Step-by-step explanation:

Form a venn diagram. You can see that there are 3 students who failed the test but completed the homework.

Plz mark as brainliest

Answer:

31. 5v - 4

32. 9 + n

33. n - 1

34. c + 10

35. 2x

35². 24 - 6

36. 3s

37. 3x + 6

38. v / m + 18 (i think?)

39. x - ab

Step-by-step explanation:

hope this helps + is correct

Answer:

C

Step-by-step explanation:

Answer:

D. 16          i took the quiz trust me ok? ily stay safe queen

Step-by-step explanation:

Answer:

23.5

Step-by-step explanation:

(23.76-25.58)/(48-34) = -0.13

-0.13 * 2 = -0.26

23.76 - 0.26 = 23.5

Answer:

Step-by-step explanation:

First things first, you need to find out how many minutes it took Corrine to run one mile each day. To do this, you divide 4 by 4 and 28 by 4

4 ÷ 4 = number of miles

4 ÷ 4 = 1 mile

28 ÷ 4 = number of minutes for one mile

28 ÷ 4 = 7 minutes for one mile

Next, you need to divide 5.5 by 5.5 and 32 by 5.5

5.5 ÷ 5.5 = number of miles

5.5 ÷ 5.5 = 1 mile

32 ÷ 5.5 = number of minutes for one mile

32 ÷ 5.5 = 5.81818181818

So, Corrine ran one mile in 7 minutes yesterday and ran one mile in 5.81818181818 today.

All in all, Corrine ran faster today than yesterday.

Hope this helps!

Answer:

p = 2a + 2b

Step-by-step explanation:

The perimeter p is the sum of the 4 sides , then

p = a + a + b + b = 2a + 2b

Answer:

I think it's $31.73

Step-by-step explanation:

:)

Answer:

13800

Step-by-step explanation:

:b

Answer:

The 71st term is 428.

Step-by-step explanation:

Use Arithmetic Explicit formula:

f(n) = f(1) + (n - 1) d

Solve:

f(71) = 8 + (71 - 1) 6

f(71) = 8 + (70) 6

f(71) = 8 + 420

f(71) = 428

Answer:

2hours

Step-by-step explanation:

2.5×8

=20

36-20

=16

16/8

=2hours

Answer:

6/7/8.9

Step-by-step explanation:

Answer:

Step-by-step explanation:

-8y-4x^3-1

Answer:

-1 - 8y - 4x³

or

-8y - 4x³ - 1

or

4x³ - 8y - 1

Step-by-step explanation:

7 - 6y - 5x³ - 1 + x³ - 7 - 2y

add LIKE terms

- 6y - 2y

7 - 1 - 7

-5x³ + x³

=

-1 - 8y - 4x³

Hope this helps and a thank won't hurt! :)

Answer:

Step-by-step explanation:

Let's start by looking at the graph of the two equations.

Since you are not looking for where the lines cross, I have chosen any 3 points for each equation almost randomly. I have not used either the x or y intercepts except once.

As a sample for the method of calculation

Let x -2y = 4

Let x = -2.             Find y and put it in the table

-2 - 2y = 4             Add 2 to both sides

-2+2-2y = 4 + 2    Combine

-2y = 6                  Divide by -2

y = 6/-2

y = - 3

Put that in the table under the first equation.

The other 5 points are done the same way.

Given, 9−7x=5−3x

Given, 9−7x=5−3xPut x terms on one side and constants on another side.

Given, 9−7x=5−3xPut x terms on one side and constants on another side.⇒9−5=7x−3x

Given, 9−7x=5−3xPut x terms on one side and constants on another side.⇒9−5=7x−3x⇒4=4x

Given, 9−7x=5−3xPut x terms on one side and constants on another side.⇒9−5=7x−3x⇒4=4x⇒x= 4/4 =1

=1Hence, required solution is x=1.

please mark me a brainlist answer I need only 1 ok

Step-by-step explanation:

Number 1

m = (y2 - y1)/(x2 - x1)

m = (3 - 1)/(5 - 2)

m = 2/3 POSITIVE

Number 2

m = (y2 - y1)/(x2 - x1)

m = (-3 - 1)/(1 + 2)

m = -4/3 NEGATIVE

Number 3

m = (y2 - y1)/(x2 - x1)

m = (1 - 1)/(5 - 4)

m = 0/1

m = 0 ZERO

Number 4

m = (y2 - y1)/(x2 - x1)

m = (5 - 1)/(7 - 7)

m = 4/0

m = UNDEFINED

Number 5

m = (y2 - y1)/(x2 - x1)

m = (6 - 1)/(3 + 2)

m = 5/5

m = 1 POSITIVE

Answer:

Up up up up up up up up up up

Hello! :)

6m-n

6(7)-5

We plug in the values and solve:

42-5

37

Hope it helps!

If you have any query, feel free to ask! :)

~An excited gal

[tex]MagicalNature[/tex] here to help

Answer:

dream is better

Step-by-step explanation:

A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A week later, the store placed t

Answer:

8n

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

If the 3 points are on the circle with the given center then the distance from each point to the center will all be equal. This distance will be the radius of the circle.

Distance  of P (2, 5) from the center (4, 2)

= √( (5-2)^2 + (2-4)^2)

= √(9 + 4)

= √13.

For Q (6, -1)this distance is:

= √(6-4)^2 + (-1-2)^2)

= √13.

For R (7, 4) his distance is:

= √(7-4)^2 + (4-2)^2)

= √13

These distances are the same so the points P, Q and R lie on the circle.

The midpoint of PQ

= (2+6)/2 , (5 - 1)/2

= (4, 2).

Which is the center so this verifies the second part.

Answer:

steps below

Step-by-step explanation:

P(2,5)   Q(6,-1)   R(7,4)

PQ² = (6-2)² + (-1 - 5)² = 16+36 = 52

QR² = (7-6)² + (4 - -1)² = 26

RP² = (7-2)² + (4-5)² = 26

PQ² = QR² + RP²

∴PQR is a right angle triangle and PQ is hypotenuse and it's the diameter of circumscriber triangle

∴P,Q,R are on a circle centered at the mid-point of PQ (4,2) - bisector of PQ

** property of right triangle: For any right triangle, the hypotenuse is a diameter of the circumscribed circle, i.e. the center of the circle is the midpoint of the hypotenuse

Answer:

62.8 feet is the answer .

Answer:

slope = -1

Step-by-step explanation:

you subtract the y-values (-1-1=-2) then subtract the x-values (6-4=2) then divide the sum of the y-values by the sum of the x-values

[tex]\frac{-2}{2}[/tex] which simplifies to a slope of -1

Answer:

Inequality

[tex]-22<m<12[/tex]

Interval Notation

[tex](-22,12)[/tex]

Reasoning:

First of all, subtract nine on both sides.

[tex]| m + 5|<17[/tex]

Now make two equations

[tex]|m+5|=-17[/tex]

[tex]m=-22[/tex]

[tex]|m+5|=17[/tex]

[tex]m=12[/tex]

Now you can make an inequality for m:

[tex]-22<m<12[/tex]

Answer:

-2 < p ≤ 5

Step-by-step explanation:

You can separate this into two inequalities and solve for each.

p + 7 ≤ 12

Solving for p, you get p ≤ 5

p + 7 > 5

Solving for p, you get p > -2

Combining the two equalities back together, you get -2 < p ≤ 5