Answer:
can be expressed as decimal: 0.025
s= 1.025* $250
= $256.25
after 8 years
s= $250* 1.025^8
~$304.6
earned $54.6
Step-by-step explanation:
2 and a half is equivilant to 2.5
because it is a % (out of 100) move the decimal 2 places down
2.5-->0.25-->0.025
so can be expressed as decimal: 0.025
interest after 1 year is:
original amount of money * (interest rate+1.0)
+1 because you are adding on to 100%. you already have 100%. if it was just the interest rate, the amount of money would go down.
so
s= 1.025* $250
=1.025* 250
=256.25
interest after 8 years,
that means you have to take the original, and multiply it by the interest rate, then the new original multiply by intrest rate a total of 8 times
to do this use an exponent, because exponents base the total off the total before them. if that makes any sense srry
s= $250* 1.025^8
~$304.6 (I used calculator)
to get her earnings, subtract the new amount of money with her original amount of money
304.6-250
=54.6
$54.6
hope this helps
0 × <span>0 = 0
0 </span>× <span>1 = 0
1 </span>× <span>1 = 1
Which means multiplication is closed under {0, 1}
</span><span>1 </span>÷ <span>1 = 1
0 </span>÷ <span>1 = 0
</span>
Division is not closed under {0, 1}
1 + 1 = 2
Addition is not closed under {0, 1}
0 - 1 = -1
Subtraction is not closed under {0, 1} either
So it's only A. Multiplication which is closed under {0, 1}
Answer:
a) 0.2416
b) 0.4172
c) 0.0253
Step-by-step explanation:
Since the result of the test should be independent of the time , then the that the test number of times that test proves correct is independent of the days the river is correct .
denoting event a A=the test proves correct and B=the river is polluted
a) the test indicates pollution when
- the river is polluted and the test is correct
- the river is not polluted and the test fails
then
P(test indicates pollution)= P(A)*P(B)+ (1-P(A))*(1-P(B)) = 0.12*0.84+0.88*0.16 = 0.2416
b) according to Bayes
P(A∩B)= P(A/B)*P(B) → P(A/B)=P(A∩B)/P(B)
then
P(pollution exists/test indicates pollution)=P(A∩B)/P(B) = 0.84*0.12 / 0.2416 = 0.4172
c) since
P(test indicates no pollution)= P(A)*(1-P(B))+ (1-P(A))*P(B) = 0.84*0.88+ 0.16*0.12 = 0.7584
the rate of false positives is
P(river is polluted/test indicates no pollution) = 0.12*0.16 / 0.7584 = 0.0253
Answer:
The total of the 15 tickets would be $240
Step-by-step explanation:
If you divide 48 and 3 you get 16 which is the cost for each ticket and then yuo multiply 16 by 15 and you get 240
Answer:
XZ = 2.5 BD
Step-by-step explanation:
Comparing the two triangles,
= 
= 
⇒ XZ = 
= 15
XZ = 15
So that,
BD:XZ = 6:15
= 1:2.5
Therefore, the relationship between BD and XZ is XZ = 2.5 BD.
