Answer:
$1,109.62
Step-by-step explanation:
Let's first compute the <em>future value FV.</em>
In order to see the rule of formation, let's see the value (in $) for the first few years
<u>End of year 0</u>
1,000
<u>End of year 1(capital + interest + new deposit)</u>
1,000*(1.09)+10
<u>End of year 2 (capital + interest + new deposit)</u>
(1,000*(1.09)+10)*1.09 +10 =
<u>End of year 3 (capital + interest + new deposit)</u>
and we can see that at the end of year 50, the future value is
The sum
is the <em>sum of a geometric sequence </em>with common ratio 1.09 and is equal to
and the future value is then
The <em>present value PV</em> is
rounded to the nearest hundredth.
Answer:
Amount of fresh water = 3.5 * 10^7 cubic kilometers
Step-by-step explanation:
Given the following
Total water on earth = 1.4×10^9 cubic kilometers
If 2.5% of it is fresh water
Amount of fresh water = 2.5% of 1.4×10^9
Amount of fresh water = 0.025 * 1.4×10^9
Amount of fresh water = 0.035 * 10^9
Amount of fresh water = 3.5 * 10^7 cubic kilometers
Answer:
19
Step-by-step explanation:
3x+4 while x is 5 means (3*5)+4 so 15+4=19
If that's not what you wanted I am sorry.
Answer:
m∠HMO=102°
Step-by-step explanation:
we know that
In a Rhombus the diagonals bisect the angles and opposite angles are equal
In this problem
Angles HMO and HTO are opposite angles
m∠HMO=m∠HTO
m∠HTM=(1/2)m∠HMO ----> because the diagonals bisect the angles and opposite angles are congruent
substitute the values
solve for x
<em>Find the measure of angle HMO</em>
m∠HMO=(12x-6)°
substitute the value of x
m∠HMO=(12(9)-6)=102°
see the attached figure to better understand the problem
