Find the probability that a randomly
1 answer:
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<h3>Answer: 5/9</h3>
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Explanation:
means that the 5's go on forever because of that horizontal bar over top. So we can write it as
The three dots indicate it goes on forever following that pattern.
Let
x = 0.55555....
Multiply both sides by 10 to move the decimal point 1 spot to the right
10x = 5.55555....
Notice how both x and 10x involve a decimal number such that we have a string of 5's going on forever. If we subtract the two equations, then 10x-x becomes 9x, while the (5.55555....) - (0.55555....) simplifies to 5. The decimal portions cancel out when we subtract since they line up perfectly. We're effectively subtracting 5-0 when we cross off the decimal portions.
After those subtractions, we're left with 9x = 5 which solves to x = 5/9 when you divide both sides by 9.
Use of a calculator should show that 5/9 = 0.555555.... to help confirm the answer. Your calculator may show the last digit to be a 6 instead of a 5, but this is due to rounding. Ideally you should have a string of infinitely many 5's, but the calculator can only how so many digits.
Answer:
m+g40
12m + 14g250
Step-by-step explanation:
Jordan is paid $12 per hour for mowing lawns and $14 per hour for planting gardens.
Let m represents the number of hours mowing lawns and g represents the number of hours planting gardens.
He can work a maximum of 40 hours per week, and would like to earn at least $250 this week.
Then, the system of the inequality becomes
m+g40
12m + 14g250
Using simple interest, and considering a loan of $5,000, it is found that:
a) Her monthly payment is of $74.17.
b) She will pay back $8,900.
c) The total interest amount is of $3,900.
The amount of money after <u>t years</u> in <em>simple interest</em> is modeled by:
In which:
- A(0) is the initial amount.
- r is the interest rate, as a decimal.
In this problem:
- The loan is of $5,000, hence
.
- The APR is of 7.8%, hence
- 10 years, hence
Item b:
She will pay back $8,900.
Item a:
$8,900 will be paid in 10 x 12 = 120 months, hence:
Her monthly payment is of $74.17.
Item c:
<u>Loan of $5,000, pays back $8,900</u>, hence:
8900 - 5000 = 3,900
The total interest amount is of $3,900.
A similar problem is given at brainly.com/question/13176347