The coordinated of the preimage would be :
x = x cos θ + y sin θ
y = x sin θ + y cos θ
where
x = -4
y = 7
θ = -90
hope this helps
0.05 is 1/10 the value of 0.5.
Answer:
107
Step-by-step explanation:
Given that after a ham is cured it may be smoked to add flavor or to ensure it lasts longer.
Let X be the smoking time . Then X is N(mu, 8)
a) The sample is drawn at random
b) The sample represents the population
c) Sample size is sufficient to represent the population
b)For 99% conf interval z critical is taken since population std dev is given
Z critical = 2.58
Hence confi interval = 
c) As sample sizes are large and samples are randomly drawn, we can be 99% confident that sample mean falls within this interval
d) If margin of error is only 2, then we must have

Answer:
The initial investment is $821.58
Step-by-step explanation:
Giving the following information:
Future Value (FV)= $90,597
Number of periods (n)= 25*12= 300
Interest rate (i)= 1.58% = 0.0158
<u>To calculate the initial investment, we need to use the following present value (PV) formula:</u>
PV= FV/(1+i)^n
PV= 90,597 / (1.0158^300)
PV= $821.58
The initial investment is $821.58
Answer:
More earn this summer per month = $30 more
Entire summer earning (for 2.5 months) = $1950
Step-by-step explanation:
For 2.5 months, you got 1875 dollars, so per month salary is:
1875/2.5 = $750 per month
This summer, you got a 4% raise, that means:
4% = 4/100 = 0.04
The raise is:
0.04 * 750 = $30 raise
So, new monthly salary is:
750 + 30 = $780
So, assuming you will work 2.5 months again this summer, you total earnings would be:
2.5 * 780 = $1950