It will take 39.3 years for the balance of this account to reach $5000
Step-by-step explanation:
Formula for time (t)
t =
Where:
1. A = the value of the accrued investment/loan
2. P = the principal amount
3. r = the annual interest rate (decimal)
4. n = the number of times that interest is compounded per unit t
5. t = the time the money is invested or borrowed
∵ Olga invests $3000 in an account that earns 1.3% annual interest
compounded monthly
∴ P = $3000
∴ r = 1.3% = 1.3 ÷ 100 = 0.013 ⇒ annual interest
∴ n = 12 ⇒ compounded monthly
∵ The account will reach $5000
∴ A = 5000
- Substitute these values in the rule above
∴ t =
∴ t = 39.3 years
It will take 39.3 years for the balance of this account to reach $5000
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Answer:
Number of Unlimited passes sold were 168.
Step-by-step explanation:
Let Number of Unlimited passes sold be x
and Number of entrance-only passes sold be y.
Total number of passes sold =282
Hence,
Also
Cost for unlimited-ride pass = $50
Cost for entrance-only pass = $20
Total Money for one day = $10,680
Hence,
Dividing by 10 on both side we get;
Now multiplying equation 1 by 2 we get;
Now Subtracting equation 3 from equation 2 we get;
x= 168
x+y = 282
168+y =282
y=282-168
y= 114
Hence, Number of Unlimited passes sold are 168 and Number of entrance-only pass sold is 114.
<u>Answer</u>
<span>D. 122°
</span>
<u>Explanation
we are told that </u>∡ POM = 133.
This means that,
105 + (3x + 2) = 360 - 133
105 + (3x+2) = 227
3x + 2 = 227 - 105
(3x + 2) = 122
The question wants you to get angle NOP.
This angle is made by the arc NP. So therefore and NOP = (3x + 2).
∴<NOP = 122°