Ask question

Ask question

All categories

2 years ago

5

A person places $661 in an investment account earning an annual rate of 7.1\% , compounded continuously . Using the formula V =

P * e ^ (rt) , where V is the value of the account in years, P is the principal initially invested , e is the base of a natural logarithm , and r is the rate of interest , determine the amount of money , to the nearest cent , in the account after 16 years .

1 answer:

xeze [42]2 years ago

5 0

Answer: $2058.54

Step-by-step explanation:

V = p*e^rt

You might be interested in

raketka [301]

A⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto. I c⁣⁣⁣ouldn't a⁣⁣⁣ttach i⁣⁣⁣t h⁣⁣⁣ere, b⁣⁣⁣ut I u⁣⁣⁣ploaded i⁣⁣⁣t t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting. l⁣⁣⁣ink b⁣⁣⁣elow! G⁣⁣⁣ood L⁣⁣⁣uck!

bit. $^{}$ ly/3a8Nt8n

5 0

2 years ago

Which inequality is equivalent to this one?<br>Y-8≤-2

Arlecino [84]

Answer:

y-8+8

Step-by-step explanation:

6 0

2 years ago

You are baking brownies for your class. There are 28 total students in your class and you have baked 23 brownies. Right and solv

slavikrds [6]

Answer:

$x = 33$

Step-by-step explanation:

Given

$Students = 28$

$Brownies = 23$

$Brownies = 2\ per\ student$

Required

Determine the number of brownies left

If:

$Brownies = 2\ per\ student$

and there are 28 students

Then:

$Total\ Brownies = 2 * 28$

$Total\ Brownies = 56$

To determine the number of brownies left, we have:

$Total\ Brownies = Brownies\ Made + Brownies\ Left$

$56 = 23 + x$

Reorder

$x + 23 = 56$

Collect Like Terms

$x = 56 - 23$

$x = 33$

<em>Hence, there are 33 brownies left</em>

6 0

3 years ago

From a piece of tin in the shape of a square 6 inches on a side, the largest possible circle is cut out. What is the ratio of th

wel

Answer:

$\sf \dfrac{1}{4} \pi \quad or \quad \dfrac{7}{9}$

Step-by-step explanation:

The <u>width</u> of a square is its <u>side length</u>.

The <u>width</u> of a circle is its <u>diameter</u>.

Therefore, the largest possible circle that can be cut out from a square is a circle whose <u>diameter</u> is <u>equal in length</u> to the <u>side length</u> of the square.

<u>Formulas</u>

$\sf \textsf{Area of a square}=s^2 \quad \textsf{(where s is the side length)}$

$\sf \textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}$

$\sf \textsf{Radius of a circle}=\dfrac{1}{2}d \quad \textsf{(where d is the diameter)}$

If the diameter is equal to the side length of the square, then:
$\implies \sf r=\dfrac{1}{2}s$

Therefore:

$\begin{aligned}\implies \sf Area\:of\:circle & = \sf \pi \left(\dfrac{s}{2}\right)^2\\& = \sf \pi \left(\dfrac{s^2}{4}\right)\\& = \sf \dfrac{1}{4}\pi s^2 \end{aligned}$

So the ratio of the area of the circle to the original square is:

$\begin{aligned}\textsf{area of circle} & :\textsf{area of square}\\\sf \dfrac{1}{4}\pi s^2 & : \sf s^2\\\sf \dfrac{1}{4}\pi & : 1\end{aligned}$

Given:

side length (s) = 6 in
radius (r) = 6 ÷ 2 = 3 in

$\implies \sf \textsf{Area of square}=6^2=36\:in^2$

$\implies \sf \textsf{Area of circle}=\pi \cdot 3^2=28\:in^2\:\:(nearest\:whole\:number)$

Ratio of circle to square:

$\implies \dfrac{28}{36}=\dfrac{7}{9}$

5 0

1 year ago

Which expression is equivalent to<br>the answer are after the first one

seraphim [82]

It would be D)
Hope this helps

5 0

2 years ago