the decimal 104.3 becomes 1,043 when multiplied by 10. the same number becomes 10.43 when multiplied by 0.10. explain why.
1 answer:
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F(x)=![\sqrt[3]{x+2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%2B2%7D%20)
to solve for the inverse of a function you do 4 steps:
1. subsitute f(x) with y
2. switch y and x places
3. solve for y
4. subsitute y with f⁻¹(x)
so we have
f(x)=
subsitute f(x) with y
y=
switch x and y
x=![\sqrt[3]{y+2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7By%2B2%7D%20)
solve for y
x=
cube both sides
=y+2
subtract 2 from both sides
=y
subsitute y with f⁻¹(x)
f⁻¹(x)=
the answer is f⁻¹(x)=
to solve for the inverse of a function you do 4 steps:
1. subsitute f(x) with y
2. switch y and x places
3. solve for y
4. subsitute y with f⁻¹(x)
so we have
f(x)=
subsitute f(x) with y
y=
switch x and y
x=
solve for y
x=
cube both sides
subtract 2 from both sides
subsitute y with f⁻¹(x)
f⁻¹(x)=
the answer is f⁻¹(x)=
Answer:
Monthly payments=$418.14
Total amount will be=down payment + 48×$418.14
$14000+$20070.84=$34070.84
Step-by-step explanation:
Loan payment per month=Amount to pay÷discount factor
Mathematically P=A÷D
where D is the discount factor calculated using the formula;
where i=periodic interest rate=annual rate divided by number of payment periods
A is the amount to pay after downpayment
P is the loan monthly payment amount
n=number of periodic payments=payments per year times number of years
⇒In this question you find the discount factor then divide the amount remaining to pay with the discount factor to get monthly payments
Given;
Cost of boat=$32000
Down payment=$14000
Loan to pay=$32000-$14000=$18000
Annual rate=5.5%=i=5.5%÷12=0.458%⇒0.00458
Periodic payments, n=4×12=48
Finding the discount factor D;
To get the amount to pay monthly divide the loan to pay with the discount factor
Monthly payments=$418.14
Total amount will be=down payment + 48×$418.14
$14000+$20070.84=$34070.84