Answer:
Step-by-step explanation:
Step one:
given data
Maya
P=$1650
r=5%= 0.05
t= 4 years
The simple interest expression is
A=P(1+rt)
A=1650(1+0.08*4)
A=1650(1+0.32)
A=1650(1.32)
A=1650*1.32
A=$2178
James
P=$1600
r=8%= 0.08
t=4years
The compound interest expression is
A=P(1+r)^t
A=1600(1+0.08)^4
A=1600(1.08)^4
A=1600*1.360
A=$2176
<em>After 4 years Mayas' balance is $2178</em>
<em>After 4 years James' balance is $2176</em>
<em>the difference is =2178-2176=$2</em>
0.08 kilometers per minute.
Just do 4/50 and you’ll get the answer.
Answer:
23 matchboxes
Step-by-step explanation:
I think you mean "how many boxes are needed to hold 1104 matches?"
This is a division problem.
1104/48 = 23
Answer: 23 matchboxes
Given Information:
Confidence level = 95%
Error = 0.07
Mean = μ = 8.1
Standard deviation = σ = 2
Required Information:
Sample size = n = ?
Answer:
Sample size = n ≤ 2209
Step-by-step explanation:
The sample size required to create the specified confidence interval is given by
error ≤ z*(σ/√n)
Where z is the corresponding z-score of 95 percentile, n is the sample size and σ is the standard deviation and error is no more than 0.07
√n ≤ z*σ/error
n ≤ (z*σ/error)²
The z-score for 95% confidence level is 1.645
n ≤ (1.645*2/0.07)²
n ≤ 2209
Therefore, a sample size of n ≤ 2209 is required to create a 95% confidence interval with an error of no more than 0.07.
Since the new function is parallel to y=3x+1, that means they have the same slope that is 3
(y+1) = 3(x-1)===>y= 3x-4