Answer:
$199,047.62
Step-by-step explanation:
PV = X(1+i)^nm
X=$209000
i=5% = 0.05
n=1
m=1
Pv=$209000(1+0.05)^-1x1
Pv=$209000(1.05)^-1
Pv=$209000(1/1.05)
Pv=$209000/1.05
Pv=$199,047.62
$199,047.62 is needed to be donated for investment at 5.0% compounded annually rate for a year so as to get $209,000 at end of the year for the purpose of funding the scholarship.
Answer:
Just factorize the given plynomials.
Step-by-step explanation:
like in first example 7x+49
7(x+7)
Answer:
<h2>1. x = 4</h2><h2>2. x = 20</h2>
Step-by-step explanation:
1.
ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:

We have:
AC = 1 + 4 = 5
AJ = 1
AB = 1 + x
AK = 1
Substitute:

<em>subtract 1 from both sides</em>

2.
ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:

We hve:
VU = x + 8
VM = x
VT = 49
VN = 49 - 14 = 35
Substitute:
<em>cross multiply</em>
<em>use the distributive property a(c + b) = ab + ac</em>
<em>subtract 35x from both sides</em>
<em>divide both sides by 14</em>

Answer:
Step-by-step explanation:
just imagine you are on a number line and the numbers are
-5....-4.....-3.....-2....-1....0....1....2.....3
as you see the midpoint is -1
She harvests roughly 11 and a half acres an hour