R'S' is equal in length to RS.
length doesnt change, it was just rotated.
Answer:
See the attachment
Step-by-step explanation:
The inequalities resolve to ...
x ≥ 1 or x ≤ -3
You have chosen the correct placement of the lines on the number line. The "or equal to" symbol (≥ or ≤) means the dots at -3 and +1 are filled in, indicating those numbers are part of the solution.
If the ">" or "<" symbol is used in the inequality, the dot is left open, as in the answer you selected. The open dot indicates that value is not part of the solution set.
Answer:
$2,543.84 is your answer.
Step-by-step explanation:
What you do first is you have to figure out the 5.99% interest rate.
150 x 5.99 = 8.99
150 + 8.99 = $158.99
Now multiply that by 16
158.99 x 16 = $2,543.84 is your answer.
Answer:
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Explanation:
Simulate (build a table) the growing of the number of pennies for some nights to figure out the pattern:
First night: 1 penny = 2⁰
Second night: 1 × 2 pennies = 2¹
Third night: 2 × 2 = 2²
Fourth nigth: 2² × 2 = 2³
nth night: 2ⁿ⁻¹
You want 2ⁿ⁻¹ ≥ 2,000,000,000
Which you solve in this way:
- n-1 log (2) ≥ log (2,000,000,000)
- n - 1 ≥ log (2,000,000,000) / log (2)
Since n is number of days, it is an integer number, so n ≥ 32.
Hence, she will have a total of more than $ 2 billion after 32 days.
You can prove that by calculating 2³² = 2,147,483,648.
Answer:
A = $3,926.71
Step-by-step explanation:
Given: Principal (P) = $3200, Annual Rate (R) = 4.1%, Time = 5 years
To find: How much money would he have in the account after 5 years, if he made no deposits or withdrawals during that time?
Formula:
Solution: Compound interest is one of the most important concepts to understand when managing your finances. It can help you earn a higher return on your savings and investments, but it can also work against you when you're paying interest on a loan
First, convert R as a percent to r as a decimal
r = R/100
r = 4.1/100
r = 0.041 rate per year,
Then solve the equation for A
A = P(1 + r/n)
A = 3,200.00(1 + 0.041/12)
A = 3,200.00(1 + 0.003416667)
A = $3,926.71
Hence, Jay would have $3,926.71 after 5 years is if he made no deposits or withdrawals during that time.