Alexander invested $320 in an account paying an interest rate of 1.5% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 18 years?

Answer: $ 55

Step-by-step explanation:

When interest is compounded continuously, the final amount will be

[tex]A=Pe^{rt}[/tex]

When interest is compounded daily, the final amount will be

[tex]A=P(1+\dfrac{r}{365})^{365t}[/tex]

, where P= Principal , r = rate of interest , t = time

For Hunter , P= $750, r = [tex]6\dfrac{5}{8}\%=\dfrac{53}{8}\%=\dfrac{53}{800}=0.06625[/tex]

t = 18 years

[tex]A=750e^{0.06625(18)}=\$2471.48[/tex]

For London , P= $750, r = [tex]6\dfrac{1}{2}\%=\dfrac{13}{2}\%=\neq \dfrac{13}{200}=0.065[/tex]

t = 18 years

[tex]A=750(1+\dfrac{0.065}{365})^{18(365)}=\$2416.24[/tex]

Difference = $ 2471.48 - $ 2416.24 =$ 55.24≈$ 55

Hence, Hunter would have $ 55 more than London in his account .

Answer:

pH = 8

Step-by-step explanation:

Formular is given as;

pH = -log[H+]

A)baking soda:

[H+] = 10^-8

Upon inserting it into the formular;

pH = -log (10^-8)

pH = - ( -8)

pH = 8

Answer:

90°

Step-by-step explanation:

Since, all sides of the given quadrilateral are equal. Therefore it is rhombus.

Diagonals of a rhombus bisects at right angles.

So, x = 90°

Answer: 5+7=12

2- 90 + 8 -1 = -81

Step-by-step explanation:

Answer:

C. 81

Step-by-step explanation:

x^2-18x+81

(x-9)(x-9)

Answer:

311005.968^2

im pretty sure that is it

Answer:

A. 3.7, because |3.7| = 3.7

Step-by-step explanation:

What the question is referring her by magnitude is units away from 0. 3.7 is 3.7 units away from 0, which is the same thing as the absolute value of 3.7. And since absolute value is always positive, C is already out. D is also out as the value doesn't change. B's reason contradicts the answer, so it is also wrong. This leaves A (3.7, because |3.7| = 3.7) as our answer.

Answer:

85 miles per hour

Step-by-step explanation:

Answer:

Y=-3x+0 or Y=-3x

Step-by-step explanation:

Y=mx+b

m=slope

b=y-intercept (where the line crosses the y axis)

The line crosses the Y axis at (0,0), so:

Y=mx+0 or

Y=mx

Slope:

Rise/run= Change in y/Change is x= 9/-3=-3

So:

Y=-3x+0 or

Y=-3x

Answer: 3x + y = 0

Step-by-step explanation: Remember that slope is represented by

rise over run from one point to the next on our graph.

To get from the point (0, 0) to (3, -9), we go down -9 units

so our rise is -9 and we run 3 units so our run is 3.

Our slope therefore or m = -9/3 or -3.

Our y-intercept is represented by the point where this line

crosses the y-axis which in this case is up 0 units.

So our y-intercept or b = 0.

Since we have the slope and y-intercept of our line,

we can now write its equation in y = mx + b form.

Since m = -3 and b = 0, that gives us y =-3x + 0.

Now we convert this equation to standard form.

Just add 3x to both sides to get 3x + y = 0.

So the equation of this lie is 3x + y = 0.

Answer:

It is $180

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Answer:

x is adding 2 and y is subtracting 4    

+2/-4

Step-by-step explanation:

i looked at the graph.

2x=-4y

Every X value goes up 2 while every Y value declines 4.

Answer:

Lara will do a profit of 34 pence by 100 grams of birdseed.

Step-by-step explanation:

The given ratio means that there are 2 grams of peanuts and 3 grams of sunflower per each 5 grams of birdseed. Now, we obtain the amount required of peanuts and sunflower for 100 grams of birdseed by simple rule of three:

Peanuts

[tex]x = \frac{100\,g}{5\,g}\times 2\,g[/tex]

[tex]x = 40\,g[/tex]

Sunflower

[tex]y = \frac{100\,g}{5\,g}\times 3\,g[/tex]

[tex]y = 60\,g[/tex]

If we know that 10 grams of sunflower cost 9 pence and 10 grams of sunflower cost 3 pence, then the total cost of production of 100 grams portion:

[tex]C = \left(\frac{0.03\,GBP}{10\,g} \right)\cdot (40\,g)+\left(\frac{0.09\,GBP}{10\,g} \right)\cdot (60\,g)[/tex]

[tex]C = 0.66\,GBP[/tex]

And the profit done by Lara is:

[tex]\Delta C = 1\,GBP - 0.66\,GBP[/tex]

[tex]\Delta C = 0.34\,GBP[/tex]

Lara will do a profit of 34 pence by 100 grams of birdseed.

Answer:

1. swimming, playing soccer, walking, running

2. skiing, walking, ?

3. hot weather

The statement that tells what the shaded numbers show is (d) The sum of two odd numbers is an even number.

From the figure, we can see that the shaded numbers are even numbers.

While the row and column number of the shaded numbers are odd numbers

This means that two odd numbers add up to an even number

Hence, the statement that tells what the shaded numbers show is (d)

Read more about numbers at:

https://brainly.com/question/251701

#SPJ2

Answer:

x = 12

Step-by-step explanation:

To get the value of x, we use the mid-segment theorem of trapezoid

The theorem is that the mid-segment is half the sum of the other two segments

We have this as

;

5x - 20 = 1/2(2x + 6 + 4x + 2)

2(5x-20) = 6x + 8

5x -20 = 3x + 4

5x -3x = 4 + 20

2x = 24

x = 24/2

x = 12

Answer: 9x=-7

Explanation:

6x+3x=9x

2y+-2y=0

-2+-5=-7

Answer:

Step-by-step explanation:

Answer:

a. Interest amount is $3,000.

b. Total cost is $23,000.

Step-by-step explanation:

a. How much interest will he pay

This can be calculated as follows:

Interest amount = Principal loan Amount * Interest rate * Number of years ........ (1)

Where;

Principal loan Amount = $20,000

Interest rate = 5%

Number of years = 3

Substituting the values into equation (1), we have:

Interest amount = $20,000 * 5% * 3 = $3,000

b. What will be the total cost that he will owe including interest?

Total cost = Principal loan Amount + Interest amount = $20,000 + $3,000 = $23,000

Answer:

9920.8

Step-by-step explanation:

I DID MY MATH! YAY!

Answer:

9,000 lbs

Step-by-step explanation:

Answer:

1/8 gallon of fruit punch

Step-by-step explanation:

there is 3/4 of a gallon divided equally among 6 people,

divide 3/4 by 6

3/24 = 1/8

Answer:

160%

Step-by-step explanation:

Answer:

x < - 7

Step-by-step explanation:

Given

- 3x + 4 > 25 ( subtract 4 from both sides )

- 3x > 21

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

x < - 7

Answer:

-30..................

Answer:

x=1

Step-by-step explanation:

1/5(10x-20)=x-3

2x-4=x-3

2x-x=4-3

x=1

Answer:

The value of x is 1 after solving the linear equation.

Step-by-step explanation:

Given equation is:

[tex]\frac{1}{5}(10x-20)=x-3[/tex]

We will solve the equation by simplifying first.

[tex]\frac{1}{5}*10x-\frac{1}{5}*{20}=x-3\\2x-4=x-3[/tex]

Now, we will subtract x from both sides of the equation,

2x-x-4 = x-x-3

x-4 = -3

Next, we will add 4 on the both sides of the equation,

x-4+4 = -3+4

x = 1

Hence,

The value of x is 1 after solving the linear equation.

Answer:

5 hours

Step-by-step explanation:

217+43+43+43+43+43=432