So that is area of rectangle-1/2areacircle

so
areacircle=pir^2
r=5
1/2pir^2=1/2pi5^2=25pi/2=12.5pi

arearectangle=lw=12*5=60

unshaded=60-12.5pi=20.75 square feet
round

20.8 square feet

6 0

3 years ago

When dante was born, his grandparents deposited $10,000 into a special college fund that paid 4% annual interest, compounded mon

RSB [31]

Using compound interest, it is found that Dante was 6.6 years old when the balance in the account reached $13,000.

<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.

In this problem, we have that the parameters are given as follows:

A(t) = 13000, A(0) = 10000, r = 0.04, n = 12.

Hence the time in years is found as follows:

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

$13000 = 10000\left(1 + \frac{0.04}{12}\right)^{12t}$

$(1.0033)^{12t} = 1.3$

$\log{(1.0033)^{12t}} = \log{1.3}$

$12t\log{1.0033} = \log{1.3}$

$t = \frac{\log{1.3}}{12\log{1.0033}}$

t = 6.6

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

#SPJ1

5 0

2 years ago

"write the standard form of the equation of the circle with radius 7 and center at (0, 0)."

Leviafan [203]

Try this solution:

1. the standart form of the circle is: (x-x₀)²+(y-y₀)²=r², where point (x₀;y₀) - the cetre of the given circle, r - radius of the given circle.

2. Using r=7 and coordinates of the centre (0;0) it is possible to make up the required equation:

(x-0)²+(y-0)²=7²;

x²+y²=49.

7 0

3 years ago