Answer:
<u>1/8910720</u>
Step-by-step explanation:
Number of ways they can be chosen :
⇒ 17 × 16 × 15 × 14 × 13 × 12
⇒ 272 × 15 × 14 × 13 × 12
⇒ 4080 × 14 × 13 × 12
⇒ 57120 × 13 × 12
⇒ 742560 × 12
⇒ <u>8910720</u>
Hence, the probability will be :
⇒ P = 1 / number of ways
⇒ P = <u>1/8910720</u>
The answer is In the picture
Answer:
11.4 years
Step-by-step explanation:
We assume you want to know the time it takes for Lucy's investment of $1200 to have a value of $6400. The compound interest formula is good for finding that.
FV = P(1 +r/n)^(nt)
for principal P invested at rate r per year for t years, compounded n times per year. We want to find t such that ...
6400 = 1200(1 +0.15/4)^(4t)
16/3 = 1.0375^(4t) . . . . divide by 1200
log(16/3) = 4t·log(1.0375) . . . . take logarithms
t = log(16/3)/(4·log(1.0375)) ≈ 11.4
It will take about 11.4 years for Lucy's investment value to be $6400.
A function assigns the value of each element of one set to the other specific element of another set. The total amount of credit cards opened at the two locations is given as 45+3t.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given that the number of credit cards, A, that is opened t months since January can be modeled by the function A(t) = 20 + 4t, while the number of credit cards opened at another location, B, is defined by the function B(t)=25−t.
Now, the total number of credit cards that are opened at both the location together will be,
Total number of credit cards = A(t) + B(t)
= 20 + 4t + 25 - t
= 20 + 25 + 4t - t
= 45 + 3t
Hence, the total amount of credit cards opened at the two locations is given as 45+3t.
Learn more about Function here:
brainly.com/question/5245372
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