Answer: 4 / 5
Explanation:
1) For a right triangle, the ratio sine is defined as:
sin(x) = opposite-leg / hypotenuse
2) x is the angle. In this case: A
3) As per the figure, the opposite leg to tha angle A measures 28
4) As per the figure, the hypotenuse measures 35
5) Calculations:
sin(A) = 28 / 35
Simplify dividing both numerator and denominator by 7 => 28/35 = 4/5
Current amount in account
P=36948.61
Future value of this amount after n years at i=11% annual interest
F1=P(1+i)^n
=36948.61(1.11)^n
Future value of $3000 annual deposits after n years at i=11%
F2=A((1+i)^n-1)/i
=3000(1.11^n-1)/0.11
We'd like to have F1+F2=280000, so forming following equation:
F1+F2=280000
=>
36948.61(1.11)^n+3000(1.11^n-1)/0.11=280000
We can solve this by trial and error.
The rule of 72 tells us that money at 11% deposited will double in 72/11=6.5 years, approximately.
The initial amount of 36948.61 will become 4 times as much in 13 years, equal to approximately 147800 by then.
Meanwhile the 3000 a year for 13 years has a total of 39000. It will only grow about half as fast, namely doubling in about 13 years, or worth 78000.
Future value at 13 years = 147800+78000=225800.
That will take approximately 2 more years, or 225800*1.11^2=278000.
So our first guess is 15 years, and calculate the target amount
=36948.61(1.11)^15+3000(1.11^15-1)/0.11
=280000.01, right on.
So it takes 15.00 years to reach the goal of 280000 years.
Answer:
7^40 is umm I don't know sorry
Step-by-step explanation:
But hopefully it's helpful.
Answer: -2.1
Step-by-step explanation:
Answer:
- Sequon has more money after 4 weeks.
- It would take 5 weeks for their savings accounts to be equal.
Step-by-step explanation:
Daniel
Daniel starts with $50 and each week he adds $8. To find out the amount he has in any given week, the following formula would work:
= 50 + 8x
The x is the number of weeks and is multiplied by 8 because the amount of money he has increase by 8 every week.
After 4 weeks he would have:
= 50 + (8 * 4)
= 50 + 32
= $82
Saquon
Applying the same formula:
= 65 + 5x
After 4 weeks:
= 65 + (5 * 4)
= 65 + 20
= $85
Saquon has more money after 4 weeks.
<u>Number of weeks it would take for both of them to have the same amount.</u>
To find this out, equate both formulas and solve for x.
50 + 8x = 65 + 5x
8x - 5x = 65 - 50
3x = 15
x = 15/3
x = 5 weeks
<em>At 5 weeks they will both have:</em>
<em>50 + 8 * 5 = $90</em>
<em>65 + 5 * 5 = $90</em>
