<h2>The next four multiples of the unit fraction
are</h2><h2>
( 1),
,
(2) and
.</h2>
Step-by-step explanation:
We have:
The unit fraction =
To find, the next four multiples of the unit fraction = ?
∴ The next four multiples of the unit fraction
The first multiple = 
The second multiple = 
The third multiple = 
The fourth multiple = 
∴ The next four multiples of the unit fraction are
( 1), , (2) and .
We can write it down as a fraction:
and we can simplify this fraction:
=
=
=
or we can write it as a decimal:
0.1282...
Answer:
Step-by-step explanation:
This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):
![sin^{-1}[sin(2x+30)]=sin^{-1}(1)](https://tex.z-dn.net/?f=sin%5E%7B-1%7D%5Bsin%282x%2B30%29%5D%3Dsin%5E%7B-1%7D%281%29)
On the left, the inverse sin "undoes" or cancels the sin, leaving us with
2x + 30 = sin⁻¹(1)
The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:
2x + 30 = 90 and
2x = 60 so
x = 30
You're welcome!
Answer: 0.08 is 10 times as great as 0.008
Step-by-step explanation: 0.008 x 10 = 0.08
Hi there
For the first question use the formula of the present value of annuity due
The formula is
Pv=pmt [(1-(1+r/k)^(-n))÷(r/k)]×(1+r/k)
Pv present value?
PMT monthly payment 95
R annual interest rate 0.2379
K compounded monthly 12
N time 7 months
Pv=95×((1−(1+0.2379÷12)^(
−7))÷(0.2379÷12))×(1+0.2379÷12)
=627.45 closed to 637.13 because the question mentioned the minimum monthly payment which is 95 while the exact monthly payment of 637.13
Is 96.47
The second question is the same and easier using the formula of the present value of annuity ordinary
First find the present value by subtracting the amount of down payment From the purchase price
20,640−2,440=18,200
Now find the monthly payment using the formula of
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Solve for pmt
PMT=pv÷[(1-(1+r/k)^(-kn))÷(r/k)]
Pv 18200
R 0.104
K 12
N 5 years
PMT=18,200÷((1−(1+0.104÷12)^(
−12×5))÷(0.104÷12))
=390.29
Total paid amount of monthly payment times number of months in a year times the term of the loan to get
390.29×12×5
=23,417.28
Finally how much you paid including down payment
23,417.28+2,440
=25,857.40. ..answer
Good luck!
