Answer:
It will take 36.1 years for her money to reach $105,000.
Step-by-step explanation:
The amount of money earned after t years in continuous interest is given by:
In which P(0) is the initial investment and r is the interest rate, as a decimal.
Anna invests $7,000 in an account that compounds interest continuously and earns 7.5%.
This means that 
How long will it take for her money to reach $105,000?
This is t for which P(t) = 105000.
It will take 36.1 years for her money to reach $105,000.
Answer:
x= 8 and y= 8 square root of 2
Step-by-step explanation:
Answer:
3. m∠1 = 106° ~ this is because ∠1 and ∠2 together make a straight line and are therefore supplementary, meaning added together, they equal 180° (so I did 180° - 74° = 106°)
4. m∠3 = 74° ~ again, it is supplementary to ∠1. It is also equal to ∠2
5. m∠8 = 114° ~ angles opposite of each other (like 1 and 4) are equal (as we know from question 4). From there, we can use the corresponding angle theorem, so we know 4 and 8 are congruent. (also you can just know 1 and 8 are congruent by using the opposite exterior angles theorem)
6. m∠6 = 124° ~ using same-side interior angle theorem, they are supplementary angles (or the corresponding angles theorem mentioned above, make 4 congruent to 8, and 8 is supplementary to 6)
7. m∠7 = 96° ~ using same side exterior angle theorem, these angles are supplementary
8. m∠2 = 64° ~ again, same side exterior angle theorem
I would have to say it's number 2
Answer:
a. 42%
b. 16%
Step-by-step explanation:
a. According to the curve, the bottom 80% of families has about 58% of the income, so the top 20% has about 42%.
b. The bottom 60% of families have about 32% of the income, and the bottom 40% of families have about 16% of the income. So the third quintile has about 32% − 16% = 16%.
