Answer:
3/4 is more than 2/3
Step-by-step explanation:
The annuity could provide $221.19 each month
Step-by-step explanation:
The ANNUITY FORMULA is
, where
1.
is the balance in the account after t years
2. d is the regular deposit (the amount you deposit each year or month
or .........)
3. r is the annual interest rate in decimal
4. n is the number of compounding periods in one year
5. t the number of years
∵ Loren knows that he will have $500,000 when he retires
∴
= $500,000
∵ he sets up a payout annuity for 30 years in an account paying 10%
interest
∴ t = 30 years
∴ r = (10/100) = 0.1
∵ The annuity could provide each month
∴ n = 12
Substitute the values above in the formula
∴ ![500,000=\frac{d[(1+\frac{0.1}{12})^{(12)(30)}-1]}{\frac{0.1}{12}}](https://tex.z-dn.net/?f=500%2C000%3D%5Cfrac%7Bd%5B%281%2B%5Cfrac%7B0.1%7D%7B12%7D%29%5E%7B%2812%29%2830%29%7D-1%5D%7D%7B%5Cfrac%7B0.1%7D%7B12%7D%7D)
∴ ![500,000=\frac{d[(1.00833333)^{360}-1]}{0.00833333}](https://tex.z-dn.net/?f=500%2C000%3D%5Cfrac%7Bd%5B%281.00833333%29%5E%7B360%7D-1%5D%7D%7B0.00833333%7D)
∴ 500,000 = d [2260.487925]
- Divide both sides by 2260.487925
∴ d = $221.19
The annuity could provide $221.19 each month
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Answer: The true statement is,
'N is the mid point of JL'.
Step-by-step explanation:
Since, By the given diagram we get the following information,
M is mid point of KL because, KM=ML,
N is the mid point of JL Because, JN=NL
If we connect the points M and N then we get a line MN,
Which is called mid segment.
And, By the Mid point theorem,
and MN= KJ/2 = 12.8/2=6.4 m
Therefore from the above information we can say that only second Option is correct.
Answer:
$2.94
Step-by-step explanation:
2.52 for 12 eggs
0.21 for 1 egg
0.21 * 14 = 2.94