Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:
Given that μ = $72,641 and σ = $30,000.
a) x > $100000
P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814
b) n = 5
x > $100000
P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207
c) n = 10
x > $100000
P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002
Annual interest is P*r^t, r is 0.05 here, t is 9/12=3/4=0.75
P*0.05^0.75=120
use your calculaor: P= 120÷ (0.05)^0.75=1135
so he invested about 1135 dollars
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Answer:
Charlene earns $700 per week
Kristi earns $550 per week
Sascha earns $800 per week
Step-by-step explanation:
Since Kristi earns 150 less than Charlene which is 100 less than Sascha, this is equal to the value of Sascha minus 250. We put this in the equation as s-250.
Together, they all earn $2050, so we must equal this to Charlene's value k+150, plus Kristi's value k, plus Sascha's value s.
<em>k+150+k+s=2050</em>
The next step here is to put the variables on one side and to put the numeric values on the other.
2k+s=1900
Like we said before, Kristi's value is equal to s-250, so we would replace k with that expression.
2(s-250)+s=1900
2s-500+s=1900
3s=2400
s= 800
We now have Sandra's weekly pay, which we can use to find the others' pay.
c= s-100
c= 800-100
c= 700
k= c-150
k= 700-150
k= 550
