If you invest $600 at 5% interest compounded continuously, how much would you make after 6 years?

[tex] x^3+x^2+2x+2[/tex]

$x^2(x+1)+2(x+1)=(x^2+2)(x+1)$

Answer:

Step-by-step explanation:

x³ + x² + 2x + 2 = x²(x + 1) + 2(x+1)

                        = (x + 1) (x² + 2)

Answer and Step-by-step explanation:

Simply use the Pythagorean Theorem to solve.

The Pythagorean Theorem is used to solve for a side in right triangles.

[tex]A^{2} +B^{2}= C^{2}[/tex]

Plug the sides values into the equation.

[tex]A^{2} + 13^2 = 20^2\\\\A^2 + 169 = 400\\\\A^2 = 231\\\\A = 15.1987[/tex]<- This is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

{ (0, 0), (4, 0), (6, 0) }

Step-by-step explanation:

In order to be a function, ordered pairs must have values of x, or the domain, that are different and do not repeat.

Answer:

Step-by-step explanation:

First one - Because it says 2 years ago, you can do 60000-4% for one year and then take the answer and - another 4% for the second year to get her income from 2 years ago. (I commented on this)

Second one - 1/3 - Take 1/6*200%=1/6*2=2/6, 2/6=1/3. So 1/3 or 2/6 of the students have a engineering major

y=−53xUsing the slope-intercept form, the slope is −53.m=−53

Answer:

Step-by-step explanation:

In the future, you should post all possible answer choices to have a complete post. However, there's enough information to get the answer.

The original set has points in the form (x,y)

The first point is (x,y) = (-49,7) making x = -49 and y = 7. When we find the inverse, we simply swap the x and y values. The inverse undoes the original function and vice versa. So if (-49, 7) is in the original function, then (7, -49) is in the inverse. The rest of the points follow the same pattern.

We end up with this answer

{ (7, -49), (8, -56), (9, -63), (10, -70) }

-Answer:

4 lbs of 37% mixed   nuts

Step-by-step explanation:

[tex]\frac{\left(17+.37x\right)}{17+x}\:=\:.88[/tex]

x = 4

Step-by-step explanation:

Formulate an equation to solve for this one.

- I did x+x-20= 200

x represents the larger angle between the two triangles.

x-20 represents the smaller triangle which the problem states is 20 degrees smaller.

- if you solve the equation I gave you above you will get your answer. x= 110

your angles should be 110 and 90. You can check by adding those numbers which will equal to 200.

Hope this helps!

Answer:

Ques 1: 7.85

Ques 2: both [tex]\sqrt{0.25}[/tex] and [tex]-\sqrt{16}[/tex] are rational.

Ques 3: 0.9

Step-by-step explanation:

Ques 1:

Solving the [tex]\sqrt{61.6}[/tex], we get 7.8485.

Rounding off to nearest hundredth, we see that next digit is 8, so we increase the previous digit by 1.

So, the answer to nearest hundredth is 7.85.

Ques 2:

[tex]\sqrt{0.25}[/tex] and [tex]-\sqrt{16}[/tex]to be checked  whether they are rational or irrational.

We know that [tex]\sqrt{16}[/tex] is equal to 4.

[tex]-\sqrt{16}[/tex] = -4 which is a rational value.

Let us solve [tex]\sqrt{0.25}[/tex] now.

[tex]\sqrt{0.25} = \sqrt{\dfrac{25}{100}}\\\Rightarrow \dfrac{5}{10}[/tex]

Which is a rational value.

So, both are rational.

Ques 3:

Simplify [tex]\sqrt{0.81}[/tex]

0.81 can be written as [tex]\frac{81}{100}[/tex] in rational form.

Now, taking the square root, we need to take the square root for both Numerator and Denominator and then we can divide to get the desired square root.

[tex]\sqrt{0.81} = \sqrt{\dfrac{81}{100}}\\\Rightarrow \dfrac{9}{10} = \bold{0.9}[/tex]

So, the answers are:

Ques 1: 7.85

Ques 2: both [tex]\sqrt{0.25}[/tex] and [tex]-\sqrt{16}[/tex] are rational.

Ques 3: 0.9

Answer:

x = -124

Step-by-step explanation:

89-x=213

Subtract 89 from each side

89-x -89=213-89

-x = 124

Multiply each side by -1

x = -124

Step-by-step explanation:

89-x=213

89-213=x

x= -124

hope this helps

Answer:

D) 16+4√2

Step-by-step explanation:

If the area of the triangle is 8, we use 1/2bh to find it.  Since b and h are the same on this triangle, we find that 8=1/2(4)(4)

Now we know that the two sides of the parallelogram and the top two sides of the triangle are all 4.  We just need to find the bottom of the parallelogram to know the perimeter.  It’s the same as the hypotenuse of the right triangle.

4²+4²=c²

16+16=c²

32=c²

c=√32  Now we have all 5 sides.

4+4+4+4+√32

16+√32

16+4√2

Answer:

137

Step-by-step explanation:

This is an arithmetic sequence with first term (a₁) being 2 and common difference (d) being 11 - 2 = 9.

Explicit formula: aₙ = a₁ + (n - 1) * d so our formula is:

aₙ = 2 + (n - 1) * 9

= 2 + 9n - 9

= 9n - 7

a₁₆ = 9(16) - 7 = 137

Answer:

81cm squared

Step-by-step explanation:

Area for triangle:

base x height x 1/2 =

5cm x 6cm x 1/2 =

30cm/2 = 15cm squared

Area for rectangle:

length x width:

11cm x 6cm = 66cm squared

Add the totals together = 66cm + 15cm = 81cm squared

Answer:

(triangle)

A. A= b × h ÷ 2

= 5cm × 7cm ÷ 2

= 35cm ÷ 2

= 17.5cm²

(rectangle)

B. A= L × W

= 11cm × 6cm

= 66cm²

(total of both area)

Total = A+B

=17.5cm² + 66cm²

=83.5cm²

Step-by-step explanation:

To find the area of a triangle, you must do the following formula:

Area= base × height ÷ 2

=x²

To find the are of the rectangle, you must do the following formula:

Area= Length × Width

= x²

Then you add the are of the first shape, A, with the second shape, B.

Total= A + B

=x²

I hope this helps! I'm sorry if it's wrong.

Answer:

x=6

Step-by-step explanation:

(0.6)(x-1.5)=2.7

(x-1.5)=4.5

x=6

Answer:

Rs 1155.3

Step-by-step explanation:

1136 * .1 = 113.6

1136 - 113.6 = 1022.4

1022.4 * 1.13 = 1155.3

Answer:

the number is 2.66

Step-by-step explanation:

[tex]6.7+5x=20[/tex]

Step 1. Subtract 6.7 from both sides

[tex]5x=20-6.7[/tex]

[tex]5x=13.3[/tex]

Step 2. Isolate the variable

[tex]\frac{5x}{5} =\frac{13.3}{5}[/tex]

[tex]x=2.66[/tex]

The number is 2.66

Answer:

x = 45

Step-by-step explanation:

1/3x = 15          (Given)

3(1/3x) = 15(3)  (Multiply 3 on both sides)

x = 45              (Simplify)

Answer:

45

Step-by-step explanation:

1/3x = 15

Multiplying 3 on both sides,

3(1/3x) = 15(3)

x = 15 x 3

x = 45

Answer:

32 adulta

Step-by-step explanation:

96÷6 = 16 number of families

now we need to see how many adults there are in 16 families.

and the number is 32 adults.

Answer:

32 adults.

Step-by-step explanation:

At the very least, there are 4 children for every 2 adults. That means that, at the very least, there are 6 people in one group to get into the fun fair.

96 / 6 = 16

So, there are 16 groups trying to get into the fun fair, with 2 adults in each group. 2 * 16 = 32 adults are in the queue.

Hope this helps!

Answer:

72.3 - 39.1 = 4tens - 7ones + 2tenth

Step-by-step explanation:

Give the expression 72.3 + (-39.1)

opening the parenthesis:

= 72.3 + (-39.1)

= 72.3 - 39.1

Breaking the decimal values into place values

72.3 = 7tens + 2units + 3tenth

72.3 = 7(10)+2(1)+3(1/10)

72.3 =70+2+0.3

Similarly for 39.1

39.1 = 3tens + 9units + 1tenth

39.1 = 3(10)+9(1)+1(1/10)

39.1 =30+9+0.1

72.3 - 39.1 = 70+2+0.3 - (30+9+0.1)

72.3 - 39.1 = 70+2+0.3 - 30-9-0.1

72.3 - 39.1  = 70-30+2-9+0.3-0.1

72.3 - 39.1 = 40 - 7 +0.2

72.3 - 39.1 = 4tens - 7ones + 2tenth

Answer:

72.3 - 39.1 = 70 + 2 + 0.3 + (-30) +(-9) + (0.1)

Step-by-step explanation:

got it from edmentum

Answer:

(x+2)^2 + (y-5)^2 = 9

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x- -2)^2 + (y-5)^2 = 3^2

(x+2)^2 + (y-5)^2 = 9

Answer:

-13 1/2 < -6/8

Step-by-step explanation:

*Any negative in either the numerator or denominator will make the entire fraction negative.

1/2  = .5

-13 1/2 = -13.5

-6/8 = -3/4

-3/4 = -0.75

-6/8 = -0.75

-13 1/2 = -13.5

Which means:

-13 1/2 < -6/8

Hope this helped.

Answer:

[tex] < [/tex]

Step-by-step explanation:

[tex] \frac{6}{8} [/tex]

Is close to 0 (to positive) you can use a time line to determine which is a correct answer

Answer: a = 19

Step-by-step explanation:

Given

7 (8 + a) = 189

Divide 7 on both sides

7 (8 + a) / 7 = 189 / 7

8 + a = 27

Subtract 8 on both sides

8 + a - 8 = 27 - 8

a = 19

Hope this helps!! :)

Please let me know if you have any questions

The number of silver and bronze medals that France won are 9 silver and bronze medals.

Since there are 60 medals awarded, and there were 20 each of bronze, silver, and gold. This means that there are 20 gold, 20 bronze and 20 silver.

Since U.S. swim team won 13 gold medals and Spain won 5gold medals, then the gold won by France will be:

= 20 - (13 + 5)

= 20 - 18

= 2 gold medals

France won 2 gold medals.

Since France won one-third of all the medals, the number of medals won by France will be:

= 1/3 × 60

= 20 medals

Since France won 2 golds medals, then the number of silver and bronze will be:

= 20 - 2

= 18 silver and bronze medals.

Since France won equal number of silver and bronze medals. This will be:

= 18/2

= 9 silver and bronze medals.

Read related link on:

https://brainly.com/question/19972449

Answer:

It would be y = -x + 9

Step-by-step explanation:

Answer:

Y=-x+9

Step-by-step explanation:

Answer:Conversion units

Step-by-step explanation: 1 ft^3= 0.028m^3 .: 1440ft^3=40.776m^3, so $1.75x40.776=$71.358~ $71.36.:

Answer:

$71.36

Step-by-step explanation:

1 foot = 0.3048 metros

1 cubic feet = (0.3048metros)³ = 0.02932 cubic meters   (aprox.)

1440 cubic feet = 1440*0.02932 = 40.7763 m

$1.75 por cubic meter:

1.75*40.7763 = $71.36

Answer:

  5

Step-by-step explanation:

Given:

  A = (a, 14-a)

  P = (3a, a^2 +13a -11)

  the slope of AP is 7

  a > 0

Find:

  a

Solution:

The slope of AP is ...

  m = (Py -Ay)/(Px -Ax)

  7 = (a^2 +13a -11 -(14 -a))/(3a -a)

  14a = a^2 +14a -25

  25 = a^2

  a = √25 = 5 . . . . . the positive solution

The value of 'a' is 5.

_____

Check

The point A is (a, 14-a) = (5, 9).

The point P is (3a, a^2 +13a -11) = (15, 79)

The slope of AP is (79 -9)/(15 -5) = 70/10 = 7.

Answer:

23.12 ounces

Step-by-step explanation:

Answer:

160°

Step-by-step explanation:

Take notice that m∠1 and m∠2 are supplementary angles, meaning their angle measures will add up to 180°.

Since we know m∠2, we can find m∠1 easily.

180-20=160°

Hope this helped!

Answer:

Total=(0.25(p))+(0.05(r))

replace the letter value with the # of items and solve using equation