Answer:
- a) P(x) = 32000*1.04^x
- b) $37435
- c) During year 7
Step-by-step explanation:
<u>Given</u>
- Initial pay = $32000
- Increase rate = 4%
a. <u>Formula</u>
b. Year 5 is after 4 years, so we are looking for the value of P(4)
- P(4) = $32000*1.04^4 = $37435
c. <u>P(x) = 40000, x = ?</u>
- 40000 = 32000*1.04^x
- 1.04^x = 40000/32000
- 1.04^x = 1.25
- log 1.04^x = log 1.25
- x = log 1.25 / log 1.04
- x = 5.69, this is 6 years after
The required number of the years is 6 + 1 = 7
Answer:
0.7361
Step-by-step explanation:
In this question we have
number to be 10
Then we have a probability of 10% = 0.10
We have q = 1-p
= 1-0.10 = 0.90
Then the probability of not more than 1 being defective:
P(x=0) + p(x= 1)
(10C0 x 0.1⁰ x 0.9^10-0)+(10C1 x 0.1¹ x 0.9^10-1)
= 1 x1 x0.3487 + 10 x 0.1 x 0.3874
= 0.3487 + 0.3874
= 0.7361
This is the the required probability and this answers the question.
probability = 10 percent = 0.1
q= 1- 10percent = 90% = 0.9
n = 4
To get the required probabiltiy for this question is
P(not greater than one is defective )=P(x=0)+P(x=1)
= 4C0x(0.1)⁰x(0.9)⁴+4C1x(0.1)¹x(0.9)³
= 0.9477
The required probability is 0.9477
Answer:
peanut butter cookies:8
sugar cookies:2
chocolate chip cookies:5
ratio: 4:1:2.5
Step-by-step explanation:
x=peanut butter cookies
y=sugar cookies
a=chocolate chip cookies
40=2x+3y+3.6a
15=x+y+a
x=a+3
15=(a+3)+y+a
y=12-2a
40=2(a+3)+3(12-2a)+3.6a
a=5
x=8
y=2
Answer: 
Step-by-step explanation: Divide
Step 1: Convert the mixed number to improper fraction
Step 2: Reciprocal
Step 3: Divide the common factors
Step 4: Multiply
Answer:
4 1/6
Step-by-step explanation:
4 x 6 = 24
1/6 x 6 = 6/6 = 1
24 + 1 = 25 :)
