A right cylinder has a diameter of 30 mm and a height of 20 mm as shown. what is the volume of the cylinder?

Lincoln invested $49,000 in an account paying an interest rate of 6\tfrac{1}{8}6

Orlov [11]

Using compound interest and continuous compounding, it is found that Lincoln would have $15,856 more in his account than Eli.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

In which:

A(t) is the amount of money after t years.

P is the principal(the initial sum of money).

r is the interest rate(as a decimal value).

n is the number of times that interest is compounded per year.

Hence, for Lincoln, we have that the parameters are as follows:

P = 49000, r = 0.06125, n = 365, t = 20.

Hence the amount will be of:

$A_L(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

$A_L(20) = 49000\left(1 + \frac{0.06125}{365}\right)^{365 \times 20}$

$A_L(20) = 166787$

<h3>What is continuous compounding?</h3>

The amount is given by:

$A(t) = Pe^{rt}$

For Eli, we have that r = 0.05625, hence the amount will be given by:

$A(t) = Pe^{rt}$

$A_E(20) = 49000e^{0.05625 \times 20} = 150931$

<h3>What is the difference?</h3>

It is given by:

$D = A_L(20) - A_E(20) = 166787 - 150931 = 15856$

Lincoln would have $15,856 more in his account than Eli.

More can be learned about compound interest at brainly.com/question/25781328

6 0

3 years ago

A 13ft board is to be cut into three pieces, two equal length ones and the third 9in shorter than each of the other two. If cutt

vaieri [72.5K]

Answer:

The pieces are 55 inches, 55 inches and 46 inches long

Step-by-step explanation:

A 13ft board is to be cut into three pieces consisting of two equal length ones. The third one is 9in shorter than each of the other two.

Let us first convert the length of the board to inches:

1 ft = 12 inches

13 ft = 12 * 13 = 156 inches

Let the length of each of the other two pieces be x.

Therefore, the length of the third piece is (x - 9)

Therefore, the sum of the lengths of the three pieces is equal to 156 inches. This means that:

x + x + (x - 9) = 156

x + x + x - 9 = 156

=> 3x = 156 + 9

3x = 165

x = 165 / 3 = 55 inches

Each of the first two pieces are 55 inches long.

The length of the third piece will be:

55 - 9 = 46 inches

The pieces are 55 inches, 55 inches and 46 inches long.

4 0

3 years ago

What does a persuasive visual designed to make an argument refer to a. visual rhetoric b. logos c. pathos

Mkey [24]

<span>a) Visual Rhetoric. Logos means creating a symbol for some fixed thing. Pathos is related to evoking pity or sadness. Both these are clearly can't be the answer. Visual Rhetoric means using visual images to communicate meaning. This includes using visual design to make an argument. So this should be the answer.</span>

6 0

4 years ago

Read 2 more answers

The numerator of a fraction (which is in its simplest form) is 5 less than the denominator. If the numerator is multiplied by 2,

timama [110]

N = d - 5

2n/(d + 16) = n/d - 1/3 n/d
2n/(d + 16) = 2/3 n/d Divide by 2n
1 / (d + 16) = 1/3 d
Here's the tricky part.
d + 16 = 3d the two denominators are equal. the numerators are both 1.
16 = 2d
d = 8
so the numerator is d - 5
n = 8 - 5
n = 3

Let's see if it checks out.
n = 3
d = 8

2*3 = 6
8 + 16 = 24
New fraction 6/24 = 1/4
(3/8 - 1/3 ) = 1/8
3/8 - 1/8 = 1/4 so it checks with the original conditions put on it.

3 0

3 years ago

The graph of function g (x) predicts the profit of jimmy's famous Jer*y for a week. The x-axis represents the number of employee

Rashid [163]

By identifying the maximums, we see that in each blank we need to write:

1) 2

2) 2

3) greater.

<h3>How to complete the given statement?</h3>

First, we need to find the maximum of the function g(x).

You can see that for x = 2 we have the maximum of the parabola, which gives y = 9.

Then the maximum profit is got when 2 employees earn overtime.

We also need to find the maximum for the table. Notice that the maximum value of the table also happens for x = 2, and this time the maximum is y = 16.

So we can see that the maximum of Cathy's cupcakes is larger than the maximum of Jimmy's.

If you want to learn more about maximums:

brainly.com/question/19819849

#SPJ1

5 0

2 years ago