Answer:
10 = 3 and 4
11 = 11 and 12
12 = 8 and 9
13 = 17 and 18
Step-by-step explanation:
130, - 12, 56.1, 11.2
these are all arithmetic sequences with n th term formula
=
+ (n - 1 )d
where d is the common difference and
the first term
(1)
d = 10 - 4 = 4 - (- 2 ) = 6 and
= - 14
= - 14 + (24 × 6) = - 14 + 144 = 130
(2)
d = 14 - 16 = 16 - 18 = - 2 and
= 22
= 22 + (17 × - 2 ) = 22 - 34 = - 12
(3)
= 2.2 + (49 × 1.1) = 2.2 + 53.9 = 56.1
(4)
= - 4.2 + (11 × 1.4 ) = - 4.2 + 15.4 = 11.2
Answer:
0.006369
Step-by-step explanation:
Given that a test consists of 10 multiple choice questions, each with five possible answers, one of which is correct.
By mere guessing p = probability for a right answer = 1/5 =0.20
There are two outcomes and each question is independent of the other.
X no of questions right is Bin (10,0.20)
the probability that the student will pass the test
= prob of getting more than 60%
=
=0.006369
Answer:
Matthew's money will double fastest in 6 years.
Step-by-step explanation:
<u><em>The complete question is</em></u>
Answer the question for each scenario<u><em> by applying the rule of 72</em></u>. How many years will it take each situation to double its money? Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%. Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%. Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%. Whose money will double fastest?
we know that
The <u><em>Rule of 72</em></u> is a simple way to determine how long an investment will take to double given a fixed annual rate of interest. By dividing 72 by the annual rate of return.
so
Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%

Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%.

Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%

therefore
Matthew's money will double fastest in 6 years.