Answer:
11 inches
Step-by-step explanation:
The area of a circle can be found using:
We already know that the area is 380, so we can substitute 380 in for a.
380=
Now, we need to find the radius. To do this, we need to get r by itself
First, divide both sides by pi
120.95775675=r^2
Since r is being squared, we need to take the square root of both sides
10.9980796846=r
If we round to nearest whole number, our radius is 11 inches
Answer:
5
Step-by-step explanation:
Answer:
23 yellow, 30 pink and 12 blue balls
Step-by-step explanation:
Let the number of yellow, pink, blue, and black balls be y, p, b, and x respectively.
<em>From 1st sentence:</em>
y +p +b +x= 90
<em>"</em><em>60</em><em> </em><em>of</em><em> </em><em>them</em><em> </em><em>are</em><em> </em><em>not</em><em> </em><em>pink</em><em>"</em><em> </em>
➜ y +b +x= 60
Given that 25 are black, x= 25.
<em>"</em><em>67</em><em> </em><em>of</em><em> </em><em>them</em><em> </em><em>are</em><em> </em><em>not</em><em> </em><em>yellow"</em>
➜ p +b +x= 67
Subst. x= 25 into the above equations:
y +p +b +25= 90
y+ p +b= 65 -----(1)
y +b +25= 60
y +b= 35 -----(2)
p +b +25= 67
p +b= 42 -----(3)
I will rewrite the 3 equations for better clarity:
y +p +b= 65 -----(1)
y +b= 35 -----(2)
p +b= 42 -----(3)
(1) -(2):
p= 65 -35
p= 30
(1) -(3):
y= 65 -42
y= 23
Substitute p= 30 and y= 23 into (1):
23 +30 +b= 65
b= 65 -53
b= 12
Thus, there 23, 30 and 12 yellow, pink and blue balls respectively.
Answer:
1017.88
Step-by-step explanation:
V=πr2h=π·6^2·9≈ 1017.87602
Answer:
$1,709.00
Step-by-step explanation:
First, let's convert the annualy interest rest (ia) to monthly(im):
(1 + im)¹² = 1 + ia
(1 + im)¹² = 1 + 0.04
(1 + im) = 
im = 1.0033 - 1
im = 0.0033 = 0.33%
For an investiment, the final amount (A) can be calculated by:
Where R is the amount invested per month, i is the interest, and n the number of months
n = 40*12 = 480 months
2,000,000 = R*((1+0.0033)⁴⁸⁰ - 1)/0.0033)
2,000,000 = R*1,170.22
R = $1,709.00
