Juanita decided to start saving for college. She deposited $500 into an account which earns 4% simple annual interest. How much will she have in her account after the end of the three years?

A: $60.00

B: $440.00

C: $560.00

D: 562.43​

Answer: -2m - 3n

Step-by-step explanation:

a(m+n)/a(−2n−m) = 1/ax  

Rewrite the equation as  1/ax  = am+n/a−2n−m.

1/ax = am+n/a−2n−m

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

ln( 1/ax  ) = ln ( am+n/a^{−2n−m})

Expand the left side.

−x ln(a) = ln (am+n/a^{−2n−m})

Expand the right side.

−x ln (a) = (m + n) ln (a) − (−2n − m) ln (a)

Simplify (m + n) ln (a) − (−2n − m) ln (a).

−x ln (a) = 2m ln (a) + 3n ln (a)

Move all the terms containing a logarithm to the left side of the equation.

−x ln (a) −2m ln (a) − 3n ln (a) = 0

Move all terms not containing x to the right side of the equation.

−x ln (a) = 2m ln (a) + 3n ln (a)

Divide each term by −1 ln (a) and simplify.

x  = −2m − 3n

pls give brainliest :)

Answer:

y = 1/2x - 8 this is it

Step-by-step explanation:

um i would say 25 all together

Answer:

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

Step-by-step explanation:

Given

[tex]Sections = 3[/tex]

[tex]Length = \frac{3}{4}m[/tex] per section

Required

Determine the length of the ladder

The length of the ladder is calculated by multiplying the number of sections by the length of each section.

So, we have:

[tex]Ladder = 3 * \frac{3}{4}\ m[/tex]

[tex]Ladder = \frac{9}{4}\ m[/tex]

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

Hence, the length of the ladder is: [tex]2\frac{1}{4}\ m[/tex] or 2.25m

Answer:4,500

Step-by-step explanation:

Answer:

yeah, it is 4,500

Step-by-step explanation:

:))))))

Answer:

1) No

2) Yes

3)No

4)Yes

Step-by-step explanation:

1) 3(8) is simplified to 24

But 24 < 24 is not a true statement because they are both equal.

2)  3(5) is simplified to 15

15 < 40 is a true statement because 15 is less than 24

3) 3(11) simplifies to 33

33 < 24 is not a true statement because 33 is more than 24

4) 3(6) simplifies to 18

18 < 24 is a true statement because 18 is less than 24

Hope this helped.

Answer: 5(x+5)

Step-by-step explanation:

Answer:A

Step-by-step explanation:

just try putting 4 into x and you will see

Answer:

Option 1:

He starts with $10, and for each week, we add $100

Then his balance as a function of weeks will be:

f(w) = $10 + $100*w

option 2.

Again, we start with $10, and for each week that passes this is doubled, then the equation will be:

g(w) = $10*(2)^w

Now, we want in week w = 7 to have at least $700, then we need to replace w by 7 in both equations and see which one is better.

option 1:

f(7) = $10 + $100*7 = $710

With option 1 he will have enough

option 2:

g(7) = $10*(2)^7 = $1280

Again, he will have more than $700 in week 7, and we can clearly see that this option is better.

Answer:

round it to the nearest whole number.

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

The third triangle is not a right triangle.

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angles is a right angle.

Given are triangles,

When we apply Pythagoras theorem in the third triangle,

9² ≠ 8²+6²

Hence, The third triangle is not a right triangle.

Learn more about right triangle, here;

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Answer:

5/8+ 5r = 1

Step-by-step explanation:

When his younger sister is impatient, Byron also uses the lawn sprinkler to add water to the pool so it is filled more quickly. If the hose and sprinkler are used together, it takes 5 minutes to fill the pool.

Where r = rate in parts per minutes

Hand held hose = 8 minutes

Lawn sprinkler = x

If the hose and sprinkler are used together, it takes 5 minutes to fill the pool.

Hence:

5/8+ 5r = 1

The equation can be used to determine r, the rate in parts per minute, at which the lawn sprinkler would fill the pool if used alone is given as:

5/8 + 5r = 1

Answer:

The proof is shown below.

Step-by-step explanation:

Given: B is mid point of AC and C is mid-point of BD.

To prove: AD=3AB

It is given that B is mid-point of AC.

⇒ AB = BC               ...(1)

Also, C is mid-point of BD.

⇒ BC = CD               ...(2)

From (1) and (2),

AB = BC = CD

Now, AD = AB + BC + CD

⇒ AD = AB + AB + AB             (∵ AB = BC = CD )

Hence proved.

Answer:

infinitely many solutions

Step-by-step explanation:

we have: x+6y= 3

5x+30y=15

where a1/a2 = b1/b2 = c1/c2 (1/5 = 6/30 = 3/15)

Thus, the system has infinitely many solutions.

another approach:

convert to slope-intercept form

y= -1/6x + 1/2

y= -1/6x + 1/2

thus, the system has infinitely many solutions.

(explain: if two lines have a same slope (-1/6), they can be either parallel or coincided. But in this case, they also have a same y-intercept so they must be the latter case)

Hey again!

The answer to your question is 3.8

We can do 1.9 x 2 = 3.8

Hope it helps! Let me know if you need more help.

Answer:

Step-by-step explanation:

[tex]\dfrac{\frac85}{\frac{2}{25}-\frac{5}{16}}=\dfrac{\frac85}{\frac{32}{400}-\frac{125}{400}}=\dfrac{\frac85}{-\frac{93}{400}}=\\\\\\=\frac85\cdot(-\frac{400}{93})=\frac81\cdot(-\frac{80}{93})=-\frac{640}{93}=-6\frac{82}{93}\approx-6,88[/tex]

Answer:

The point-slope form of the equation of a line is ...

 y -h = m(x -k)

for a line with slope m through point (h, k).

Comparing this to the given equation, you see that ...

 h = -2, m = 1, k = -4

The line has a slope of 1 and goes through the point (-4, -2). This information is useful for graphing.

__

You can also rearrange the equation to slope-intercept form by subtracting 2 from both sides.

 y = x +2

This has a slope of 1 and crosses the y-axis at y=2. It graphs the same as the above.

The graph of 4x + 2y < 3 is the region below the line 4x + 2y = 3.

The graph is given below.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

The graph of 4x + 2y < 3 is the region in the coordinate plane that satisfies the inequality.

To graph this inequality, we can start by graphing the line 4x + 2y = 3.

This line has a slope of -2 (because it can be written in the form

y = (-2x/1) + (3/2)), and a y-intercept of (0, 3/2).

We can plot this point on the y-axis and use the slope to find other points on the line.

For example, if we move one unit to the right from the y-intercept, we will move down two units (since the slope is -2), giving us the point (1, 1/2). Similarly, if we move one unit to the left from the y-intercept, we will move up two units, giving us the point (-1, 5/2).

We can connect these points to graph the line.

Therefore,

The graph of 4x + 2y < 3 is the region below the line 4x + 2y = 3.

Learn more about inequalities here:

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500minute

Step-by-step explanation:

if anthony rides 32 miles in 160 minute then he will ride 1 mile in 5 minutes

Answer: 16%

Step-by-step explanation:

The total amount of cookies is 410.

410 represents 100%

410/100=65/x

X represents the unknown percentage

Cross multiply: 410x=6500

Divide: x=15.85

Round up: 16%

Answer:

2/3 < 6/8

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

Answer:

y-8

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I hope this helps

Answer:

B(5.5)

Step-by-step explanation:

3.2+y = 8.7

      y = 8.7-3.2

      y = 5.5

Answer:

RQ

Because that is a word

Answer:

p = 15  

Hope this helps

Step-by-step explanation:

Answer:sorry for the delate

Step-by-step explanation: