Alexander is going to invest in an account paying an interest rate of 2.4%
compounded continuously. How much would Alexander need to invest, to the nearest
hundred dollars, for the value of the account to reach $710 in 19 years?

Answer:

Yes he is correct!!!!!!

Answer:

A. Yes

B. No

C. Yes

D. No

Step-by-step explanation:

A and C has an equivalent ratio.

B and D do not.

2:5 x2 = 4:10

Because if we multiply 2 on both the 2 cups of fruit juice and the 5 cups of water we'll get

4:10 which is the ratio of A

If we divide both the 2 cups of fruit juice and the 5 cups of water with 2 we'll get...

2 ÷ 2 = 1

5 ÷ 2 = 2.5

1:2.5 is the ratio for C.

So both C and A are correct

The rest, B and D, are not equivalent.

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Answer:

(a+b) ²≥4ab explanation below↓↓↓↓

Step-by-step explanation:

We know that

(a-b) ²≥0

a²-2ab+b²≥0

Move -2ab to the other side

a²+b²≥2ab

Add 2ab to both sides

a²+2ab+b²≥4ab

(a+b) ²=a²+2ab+b² therefore :

(a+b) ²≥4ab

Answer:

92000

Step-by-step explanation:

Answer:

92,000

Step-by-step explanation:

1 km=1000 m

So 1 km×92= 92 km

But 1000 m×92= 92,000 m

Answer:

B

Step-by-step explanation:

Set up the equation first:  

4=x^2+4 (this is because we were told f(x)=4)

Bring the 4 from the x^2 side to the side with a number:

4-4=x^2

Simplify

x^2=0

[tex]\sqrt{0} = 0[/tex]

Answer:

f= -   0.5 (5n+31)

     ------------------

               n

Step-by-step explanation:

Answer:

Because [tex]x = y[/tex], then the solution is unique.

Step-by-step explanation:

Given

[tex]Ax = b[/tex]

[tex]Ax=0[/tex]

See comment for complete question

Let there be two solutions x and y.

Such that:

[tex]Ax = b[/tex] and [tex]Ay = b[/tex]

Since:

[tex]Ax = Ay = b[/tex]

Then:

[tex]Ax - Ay = b - b[/tex]

[tex]Ax - Ay = 0[/tex]

This implies that:

[tex]Ax - Ay = A(x-y) = 0[/tex]

The only trivial solution is:

[tex]Ax - Ay = A(x-y) = 0[/tex]

Such that:

[tex]x -y = 0[/tex]

Then

[tex]x = y[/tex]

Because [tex]x = y[/tex], then the solution is unique.

Answer:

x=36

Step-by-step explanation:

first subtract 8 into 80, then divide it with two and you will find the answer for x

Answer:

36

Step-by-step explanation:

Start off by subtracting 8 from each side.

Once you do that your equation will now look like this--->2x=72

To get ride of the 2 you have to divide by 2 on each side.

2x=72

/2  /2

x=36

I hope this helps, and have a great day! :)

Answer:

q=0.5 or 1/2

Step-by-step explanation:

5q-21/14=1

add 21/14 to both sides

5q=2.5

divide both sides by 5

q=0.5 or 1/2

Answer:

63.17

Step-by-step explanation:

add all the numbers together which gives you 379

then 379 by how many numbers there are.

there are 6 numbers so divide 379 by 6 which equals 63.16666667

and if you round to the nearest hundredth it gives you 63.17

Answer:

2 terms

8 and 4c

Step-by-step explanation:

Answer:

2 terms

Step-by-step explanation:

8 & 4c

Answer:the average velocity of the particle is, 1.4 meter/second.

Step-by-step explanation:

¿Puedo conseguir la corona? y el abuelo tiene cincuenta y ocho años

Answer:

64in cubes

Step-by-step explanation:

Because if the vase is half full, half of 8 is 4. To find the volume of a cube is l x W x H. So 4 x 4 x 4= 64.

Answer: y=2.608x^2-115.264x+1568.064

Step-by-step explanation:

Answer:

8+18+20x16 ,

Step-by-step explanation: yeah .

Answer:

17/100

Step-by-step explanation:

The unknown quantity in the given expression is 17/100

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, 8/10 + x = 97/100, we need to find x,

So,

8/10 + x = 97/100

Subtract 8/10 from both the sides,

8/10 + x -8/10 = 97/100-8/10

x = 97/100-8/10

Multiply by 100 both the sides,

100 x = 100(97/100-8/10)

100x = 97-80

100x = 17

Divide the equation by 100

x = 17/100

Hence, the unknown quantity in the given expression is 17/100

Learn more about expressions, click;

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Answer:

Negative

Step-by-step explanation:

-9 and -5 are both negative numbers

Answer:

D

Step-by-step explanation:

The slope is 1/2, which will be a constant, making it a linear function.

Answer:

It would be 212

Step-by-step explanation:

212 tens divided by 10 is 21.2 tens.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

There are 212 tens.

And tens is a digital device.

So, 212 tens divided by 10,

=212/10

= 21.2

Therefore, the value is 21.2 tens.

To learn more about the division;

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Answer:

It would take them 5 minutes

Step-by-step explanation:

640/4= 160 (this is how many words they can read per minute)

800/160=5 (doing this helps us figure out how long it would take them to read 800 words)

Answer:

I think its 5 I'm not sure tho.....

Step-by-step explanation:

640 Divide By 4 = 160

so 800 Divided By 160 = 5  

Answer:

ummmmm i dont know

Step-by-step explanation:

Answer:

19.Flase 20.True

Step-by-step explanation:

hope this helps sorry if not

Answer:

32.68346° or 32.7

Step-by-step explanation:

Answer:

y = -3x - 9

Step-by-step explanation:

Parallel lines have same slope.

y = mx + b

m -> slope & b ->y-intercept

y = -3x - 2

So, slope of the required line = -3

(-4 , 3)

y -  y1 = m(x - x1)

y - 3 = -3(x - [-4])

y - 3 = -3(x + 4)

y - 3 = x*(-3) + 4*(-3)

y - 3 = -3x - 12

     y = -3x -12 + 3

     y = -3x - 9

Answer:

Adult ticket is $15

Step-by-step explanation:

Answer:

$225

Step-by-step explanation:

150 times 0.5% is 75

150+75= $225

$75

Step-by-step explanation:

If you do 150 x 0.5 you get 75.

Answer:

(-6, -3) (-3,-3) (-3,-6)

Step-by-step explanation:

Multiple all of the vertices by 1.5.

(-6, -3) (-3,-3) (-3,-6)

Hope I helped!

[enlargment will still be a triangle]

Given:

The expression is

[tex]\dfrac{10^0r^{-11}s}{3^2}[/tex]

To find:

The simplified answer using only positive exponents.

Solution:

We have,

[tex]\dfrac{10^0r^{-11}s}{3^2}[/tex]

[tex]=\dfrac{(1)r^{-11}s}{9}[/tex]

[tex]=\dfrac{r^{-11}s}{9}[/tex]

Using properties of exponents, we get

[tex]=\dfrac{s}{9r^{11}}[/tex]            [tex]\left[\because a^{-n}=\dfrac{1}{a^n}\right][/tex]

Therefore, the required answer is [tex]\dfrac{s}{9r^{11}}[/tex].

The required simplified value is [tex]\frac{s}{9r^{11}}[/tex]

Exponent: Exponent is defined as the method of expressing large numbers in terms of powers.

The given expression is,

[tex]10^0r^{-11}\frac{s}{3^2}[/tex]

The given expression can be simplified as,

[tex]10^0r^{-11}\frac{s}{3^2} =1\times r^{-11}\frac{s}{9} \\=\frac{s}{9r^{11}}[/tex]

So, the simplified value of the given expression is,

[tex]\frac{s}{9r^{11}}[/tex]

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