this is your answer, i hope this helps you
Answer:
7 years 11 months
Step-by-step explanation:
The future value formula for the value of a principal P invested at annual rate r compounded n times yearly for t years is ...
FV = P(1 +r/n)^(nt)
For the given numbers, we want to find t:
6000 = 3700(1 +.062/2)^(2t)
Dividing by 3700 and taking the logarithm, we get ...
6000/3700 = 1.031^(2t)
log(60/37) = 2t·log(1.031)
Dividing by the coefficient of t gives ...
t = log(60/37)/(2log(1.031)) ≈ 7.92 . . . . . years
It will take about 7 years 11 months for the investment to grow to $6000.
Answer:
<em>Answer is option d</em><em> </em>
<em>Answer is </em><em>given below with explanations</em><em>. </em>
Step-by-step explanation:
We can prove that the two triangles are similar.
We can prove this using AA criterion of similarity.
In triangle DNC and triangle QSC
Vertically opposite angles are equal.
Then Angle QCS = Angle DCN
Two parallel lines cut by a transversal line make the alternate angles are equal.
Then Angle NDC = Angle CQS
By AA criterion of similarity
TRIANGLE DNC ~ TRIANGLE QSC
<em>HAVE A NICE DAY</em><em>!</em>
<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>
Answer:
x=-48
Step-by-step explanation:
Add 4 to both sides and then multiply both sides by 3.
Answer: a) 
Step-by-step explanation:
Since we have given that
Number of red marbles = 3
Number of yellow marbles = 4
Number of green marbles = 6
Total number of marbles = 3 +4 +6 = 13
a) the marble is red?
Probability of getting a red marble = 
b) the marble is not yellow?
Probability of not getting yellow = 
c) the marble is either red or green?
Probability of getting either red or green = P(red) + P(green) =
d) the marble is neither red nor green?
Probability of getting neither red nor green = P(getting yellow) = 
Hence, a)
