Let Joy be x years old
<span>Joy's brother's age is 3 years older than twice joy's age.
</span>Joy's Brother = 2x + 3
<span>The sum of Joy's age and her brother's age is 24.
x + 2x + 3 = 24
3x + 3 = 24
3x = 24 - 3
3x = 21
x = 21 </span>÷ 3
x = 7
Joy:
x = 7
Brother:
2x + 3 = 2(7) + 3 = 17
Difference in their age = 17 - 7 = 10 years
They are 10 years apart.
Answer:
Option B.
Step-by-step explanation:
The future value formula, for an annuity, is:
![FV = \frac{P((1+r)^{n} - 1)}{r}](https://tex.z-dn.net/?f=FV%20%3D%20%5Cfrac%7BP%28%281%2Br%29%5E%7Bn%7D%20-%201%29%7D%7Br%7D)
An annuity means that a number of payments happen during the period(an year, for example).
P is the value of the deposit, r is the interest rate, as a decimal, and n is the number of deposits.
In this question:
Deposits of $765.13, so ![P = 765.13](https://tex.z-dn.net/?f=P%20%3D%20765.13)
Each month, for 3 years. An year has twelve months, so ![n = 3*12 = 36](https://tex.z-dn.net/?f=n%20%3D%203%2A12%20%3D%2036)
2% Interest a year. An year has 12 months, so ![r = \frac{0.02}{12} = 0.00167](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B0.02%7D%7B12%7D%20%3D%200.00167)
Find the final amount of the account.
![FV = \frac{765.13*((1 + 0.00167)^{36} - 1)}{0.00167} = 28,363.46](https://tex.z-dn.net/?f=FV%20%3D%20%5Cfrac%7B765.13%2A%28%281%20%2B%200.00167%29%5E%7B36%7D%20-%201%29%7D%7B0.00167%7D%20%3D%2028%2C363.46)
The final amount of the account will be $28,363.46, which is option B.
Answer:
P(getting no. Greater than 4)=1/42
Step-by-step explanation:
No. Greater than 4=2. (5,6)
Total outcomes=86
P(getting no. Greater than 4) =2/84.=>1/42
Answer:
the answer is 46
Step-by-step explanation:
8 + 20 + 18 = 46
i hope this helps