Suppose you invest $10,000 in a mutual fund that earns 6% annual interest. What is the value of your investment 30 years later? Show both the value and evidence of the thinking you used to calculate the value of the investment.

Answer:

Remember that the roots are the values of the variable when the expression equals 0.

a: 4 + 3 = 7 and 4*3 = 12 so we have (x + 3)(x + 4) with roots -3, -4

b: -4 + -2 = -6 and -4*-2=8 so we have (t-2)(t-4) with roots 2, 4

c: 2*-4 + 6 = -2 and -4*6=24 so we have (2n+6)(n-4) with roots -3, 4

d: -7+-4 = -11 and -7*-4=28 so we have (y-4)(y-7) with roots 4, 7

Answer:

radius is 11cm diameter is 22cm

Step-by-step explanation:

Answer:

Radius: 11

Diameter: 22

Step-by-step explanation:

The radius is the 11 being shown, the diameter is 2 times the radius.

Hope this helps!

Answer: there are 120 baloons in the bag

Step-by-step explanation:

10/ 600 = 4/x

10x = 1200

10/1200

x= 120

Answer:

1:4

Step-by-step explanation:

Given

3: 12

To express in the form 1:n

Consider how to make 3 equal to 1, we simply divide 3 by 3 to get 1 as such, we would also divide 12 by 3

3:12

= 3/3:12/3

= 1:4

Comparing with 1:n, it is safe to say that n = 4

Answer:

6,000

Step-by-step explanation:

To round to the nearest thousand, you keep the digit in the thousands and round up or down, clearing all other smaller units.  You round up when the next largest digit, in this case, the hundreds, is 5 or larger.  Meanwhile, you round down when it is 4 or smaller.  Here it is 1, so you round down to 6,000.  If it was 5 or larger, you would round up to 7,000.

6,000

To round a number we look at the number that is right of the one we are rounding. If the number to the left is 4 or under, you round down. If it's 5 or above, you round up.

Hope it helps! Good luck!! :D

9514 1404 393

Answer:

  90°

Step-by-step explanation:

Any corner angle in a rectangle is 90°. Rotating the figure does not change that. Angle O' = 90°.

_____

Additional comment

No rigid transformation (translation, rotation, reflection) changes any angles. Nor does uniform dilation (the kind we usually study). Hence any rectangle that is translated, rotated, reflected, or dilated will still have all angles measuring 90°.

Answer:

Angle 8 is 100 degrees.

Step-by-step explanation:

Corresponding angles (angles on the same spot in the transversal) are equal to each other. For example angle 2 will be equal to angle 6.

Answer:

45

Step-by-step explanation:

9y+1073741824

....…....…....…....…....…....…....…...

…

....…....…....…

Answer:

Step-by-step explanation:

Your choice is correct, this is A

y-intercept is the coordinate of the point at which discount is zero and amount spent is $7.5

Answer:

Option A

Step-by-step explanation:

Your choice is correct, this is A

y-intercept is the coordinate of the point at which discount is zero and amount spent is $7.5

Answer:

-36k - 12 that is the answer

Answer:B

Step-by-step explanation:

Answer:      

x2-6=5x

Step-by-step explanation:

Answer:

x = -1/3

Step-by-step explanation:

13x + 5x = -6

=> 18x = -6

=> x = -6/18

=> x = -1/3

Hope it helps :)

please mark my answer as the brainliest

Answer:

Step-by-step explanation:

First, look at your terms. You have two terms and two variables in each. So they can be factored out because you can distribute them back in easily.

Focus one variable first, x. You cant factor an x^12 out of an x^4. You can, but you really don't want to, it'll turn your problem into a mess. So the only thing you can do is factor out the lower exponent, x^4.

[tex]x^4(x^8y^4-y^1^2)[/tex]

We arent done yet because the terms still share the y variable. You cant factor a y^12 from a y^4. This is the same problem with the x variable. So take out the lower one, y^4.

[tex]x^4y^4(x^8-y^8)[/tex]

Step-by-step explanation:

step 1. if r = 2, then its area = (pi)r^2 = (pi)(4) = 4pi

step 2. if r = 3 then its area = (pi)r^2 = (pi)(9) = 9pi

step 3. so A is the area of a circle half the sum of our circles with r = 2 and r = 3.

step 4. A = (4pi + 9pi)/2 = 13pi/2 =6.5(pi).

Answer:

1/3 is your awnser also what ur name in prodigy ill play with u im level 100

Step-by-step explanation:

Answer:

[tex] \frac{2}{5} + \: x = \frac{11}{15} [/tex]

5.3=15

2.3=6

[tex] \frac{6}{15} + \frac{5}{15} [/tex]

Answer:

8z+5

Step-by-step explanation:

Let's split the expression into two terms- z and... not z :)

3z+5z=8z

Why? it's just 3+5 with z tacked on the end

14-9=5

simple math :)

put it together to get

8z+5

all done!

lmk if you have any more questions

Answer:

seviye 2

a=3 b=3

c=5 d= -1

seviye 3

a x=5 b x=15

c x=15 d x=9

Answers:

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

Explanation:

We don't have enough information to nail down exact figures, but we can make a range estimate.

The two people (call them A and B) share the profits in the ratio of 4 to 5

In shorthand notation, we can say the ratio is 4:5

This means person A gets 4x dollars while person B gets 5x dollars

The ratio 4x : 5x reduces to 4:5 after dividing both parts by x. The variable x is some positive real number.

The total profit is therefore 4x+5x = 9x dollars

This expression 9x is between 1800 and 3600 dollars, including both endpoints

We then can say...

[tex]1800 \le 9x \le 3600\\\\\frac{1800}{9} \le \frac{9x}{9} \le \frac{3600}{9}\\\\200 \le x \le 400[/tex]

We see that x = 200 is the smallest possible x value. This leads to person A and B receiving 4x = 4*200 = 800 dollars and 5x = 5*200 = 1000 dollars respectively. Note how the ratio 800:1000 reduces to 4:5 after we divide both parts by 200. We can see that 800+1000 = 1800 which is the lowest profit possible.

The inequality above shows that x = 400 is the largest x value possible. If this is the case, then person A receives 4x = 4*400 = 1600 dollars while person B receives 5x = 5*400 = 2000 dollars. The ratio 1600:2000 reduces to 4:5 after we divide both parts by 400. We can see that 1600+2000 = 3600 is the largest profit possible.

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

To summarize:

The actual amount they receive will depend on what the actual profit is. Since we're only given the range of the profit, we can only make an estimated guess of the range for each partner.

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

Side note: For either person, the ratio of the max to min is 2:1. This tells us that the max amount they receive is double compared to the min amount they receive. It's no coincidence that 3600 is double that of 1800.

Answer:

A.

Step-by-step explanation:

substitution of coordinates

Answer:

80

Step-by-step explanation:

So I here's my thought process on this:

200 divided by 2 is 100

100 - 40% is 60, leaving 40 behind.

So double that and it would be:

200 - 40% is 120

200 - 120 = 80

80% is the answer.

Answer:

160miles

Step-by-step explanation:

400miles uses15g what about 6g.

Using cross multiplication. Multiply 6x400/15 = 160miles

Answer:

160 miles

Step-by-step explanation:

If it travels 400 miles on 15 gallons, then it will travel x miles on 6 gallons

400 miles -> 15 gallons

x miles -> 6 gallons

15 * x = 6 * 400

15x = 2400

x = 2400 / 15

x = 160 miles

Answer:

Step-by-step explanation:

Number of months is x, and number of pairs of shoes after each month is y.

7 new pairs of shoes every 2 months means that after each month:

y = 7/2 x

We need to add the 15 pairs from start.

y = 3.5x + 15

Answer:

In point form (6,-2) and Equation form: x = 6, y= -2

Step-by-step explanation:

Answer:

w=95

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

f(2) = -2+3

=1

Answer: 7/5

Step-by-step explanation:

Answer:

172.8 is the area of the parallelogram