Answer: ![(-9, 16]](https://tex.z-dn.net/?f=%28-9%2C%2016%5D)
This is the interval from -9 to 16. Exclude -9 but include 16.
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Work Shown:
The idea is to multiply all sides by 5, then add 1 to all sides





This converts to the interval notation ![(-9, 16]](https://tex.z-dn.net/?f=%28-9%2C%2016%5D)
note: a curved parenthesis means "do not include this value in the solution set"; while a square bracket has us include the value. So we exclude -9 and include 16.
Answer:
8j -
- 
Step-by-step explanation:
hope this helps! :D
Answer:
see explanation
Step-by-step explanation:
(a)
A recursive formula allows any term in the sequence to be found by adding the common difference d to the previous term.
Here d = - 4 , then recursive formula is
=
- 4 with a₁ = 2
(b)
The explicit formula for an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = - 4, thus
= 2 - 4(n - 1) = 2 - 4n + 4 = 6 - 4n ← explicit formula
(c)
Using the recursive formula
a₁ = 2
a₂ = 2 - 4 = - 2
a₃ = - 2 - 4 = - 6
Using the explicit formula
a₅ = 6 - 4(5) = 6 - 20 = - 14
a₁₀ = 6 - 4(10) = 6 - 40 = - 34
a₁₀₀ = 6 - 4(100) = 6 - 400 = - 394
1. The problem gives the residual value in percentage, and you need it in dollars. So, if the MSRP for the car Jennifer is leasing is $ 17,500, you have:
57%/100=0.57
residual value=$17,500*0.57= $9,975
2. Then, you need to substract the residual value and the lease term, to calculate the value of the car, as below:
car value=$17,500-$9,975=$7,525
3. You need to calculate the money factor, which is the interest rate divided by 2400. Then, you have:
Interest rate=9%/100=0.09
Money factor=0.09x2400
Money factor=0.00375
4. The interest is:
I=($17,500+$9,975)(0.00375)
I=$103.03
5. Therefore, the monthly payment is:
Monthly payment=(car value/36 months)+Interest
Monthly payment=($7,525/36)+$103.03
Monthly payment=$209.02+$103.03
Monthly payment=$312.06
What will Jennifer’s monthly lease payment be?
The answer is: d. $312.06