Answer:
$540.98
Step-by-step explanation:
future value= $ 50,000
number of deposits (n)= 8*12 = 96
rate (r) = 4% per month
= 4÷12 per annum
= 0.33% p.a
i = 0.33÷100
= 0.0033
We know,
Future value of annuity = P÷i [ (1 + i)^n - 1 ]
$50,000 = P÷ 0.0033 [ ( 1+0.0033)^96 - 1]
$50,000 * 0.0033=P [ (1.0033)^96 - 1 ]
$165 = P*0.305
P = $165÷0.305
P = $ 540.98
Rough::
let x= 1.0033)^96
log x = 96 * log (1.0033)
log x = 0.1156
x = Antilog (0.1156)
= 1.305
1.305 - 1 = 0.305
Take the square root. The opposite of squaring something is taking the root :)
√x^2 = √26
x = √26
x = 5.099...
OR leave it if your teacher doesn't want a decimal since it can't be simplified anymore
Answer:
700.39cm
Step-by-step explanation:
For a horizontal distance of 30cm, the drop is 1cm, now we need to get the drop for horizontal distance of 700 cm to maintain the same slope
Using the concept of cross multiplication
30cm=1 cm drop
700 cm=x
30x=700
X=700/30=70/3=23 ⅓
Utilizing pythagoras theorem, the length of pipe will be
L=√(23⅓)²+700²
L=700.38878092417 cm
Rounded off, the length is approximately 700.39 cm
For this there is a dotted line going through -2 on the graph and the shading is on the right side of the grid so -2,-1, and every positive number.
Answer:
ask google
Step-by-step explanation:
duh
