So what this is is
many words
assuming year 0 is 2017
so compound first thing till 2020, take out 30000
the remaining is copmpounded til 2022, take out 50000
remaining is compounded for 1 more year and that is equal to 80000
so from 2017 to 2020, that is 5 years
from 2020 to 2022 is 2 years
from 2022 to 2023 is 1 year
work backwards
A=P(r+1)^t
last one
A=80000
P=?
r=0.08
t=1 year
80000=P(1.08)^1
divide both sides by 1.08
I would leave in fraction
20000000/27=P
now that is the remaining after paying 50000, after 2 years of compounding
so
50000+(2000000/27)=P(1.08)^2
solve using math
about
106374=P
now reverse back
5 years
paid 30000
30000+106374=P(1.08)^5
solve using math
92813.526=P
round
$92813.53
put $92813.53 in the fund
Answer:
210
Step-by-step explanation:
Answer:
The volume of the larger solid is 
Step-by-step explanation:
<u><em>The question is</em></u>
If these solids are similar, find the volume of the larger solid
step 1
Find the scale factor
we know that
If two solids are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
Let
x ----> the height of the larger solid in mm
y ----> the height of the smaller solid in mm
z ---> the scale factor
we have
substitute
---> scale factor
step 2
Find the volume of the larger solid
we know that
If two solids are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
x ----> the volume of the larger solid in cubic millimeters
y ----> the volume of the smaller solid in in cubic millimeters
z ---> the scale factor
we have
substitute the values
solve for x
Answer:
290
Step-by-step explanation:
First, add two digit number from them.
50 + 30 = 80
Second, add the last two numbers.
6 + 4 = 10
So, add these two results.
80 + 10 = 90
Final, all of theses results are added to three digit number of second number.
So, final result is
200 + 90 = 290
Answer:
$3364.65
Step-by-step explanation:
The volume of the cone is given by the formula ...
V = (1/3)πr²h
Filling in the given numbers, we find the volume to be ...
V = (1/3)π(1.5 m)²(7 m) = 5.25π m³ ≈ 16.49336 m³
The cost of the rice will be the product of this volume and the price per cubic meter:
cost = (16.49336 m³)($204/m³) = $3364.65
The cost of the rice necessary to fill the volume is $3364.65.
_____
<em>Comment on pi</em>
If you use the value 3.14 for pi, the cost comes to $3362.94. A 3-digit value of pi only gives an answer good in its first 3 digits.
