Okay, let's use x for the 24 page packages and y for the 30 page packages:
x + y = 9
x = -y + 9
Now here's the second equation:
24x+30y = 258
We can input y into our second equation:
24(-y + 9) + 30y = 258
-24y + 216 + 30y = 258
6y = 42
y = 7
9 - 7 = 2, so:
Joann bought 7 :30 paper pakages
and 2 :24 paper packages

5 0

3 years ago

The coordinate of centroid of a triangle whose vertices are (1,3,-2), (4,5,0), (6,3,9) is = ……………….

Dominik [7]

Answer:

$C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})$

Step-by-step explanation:

Given

$(x_1,y_1,z_1) = (1,3,-2)$

$(x_2,y_2,z_2) = (4,5,0)$

$(x_3,y_3,z_3) = (6,3,9)$

Required

Determine the coordinates of the centroid

Represent the coordinates with C.

C is calculated as follows:

$C = (\frac{1}{3}(x_1+x_2+x_3),\frac{1}{3}(y_1+y_2+y_3),\frac{1}{3}(z_1+z_2+z_3}))$

Substitute values of x and y in the given equation

$C = (\frac{1}{3}(1+4+6),\frac{1}{3}(3+5+3),\frac{1}{3}(-2+0+9}))$

$C = (\frac{1}{3}(11),\frac{1}{3}(11),\frac{1}{3}(7}))$

$C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})$

<em>The above is the coordinate of the centroid</em>

8 0

3 years ago

How long would it take $3,500 to grow to $8,300 if the annual rate is 5.5% and interest in compounded monthly?

devlian [24]

Hi there
The formula is
A=p (1+r/k)^kn
A future value 8300
P present value 3500
r interest rate 0.055
K compounded monthly 12
N time?
We need to solve for n
N=[log (A/p)÷log (1+r/k)]÷k
N=((log(8,300÷3,500)÷log(1+0.055÷12))÷12)
T=15.7 years round your answer to get
T=16years

Hope it helps

4 0

3 years ago