The amount you should deposit is $4709.18
Step-by-step explanation:
The formula for compound interest, including principal sum is
, where:
- A is the future value of the investment/loan, including interest
- P is the principal investment amount
- r is the annual interest rate in decimal
- n is the number of times that interest is compounded per unit t
- t is the time the money is invested or borrowed for
∵ You want to have $5000 in your savings account in 2 years
∴ A = 5000
∴ t = 2
∵ The account pays 3% annual interest, compounded monthly
∴ r = 3% = 3 ÷ 100 = 0.03
∴ n = 12 ⇒ compounded monthly
- Substitute these values in the formula above
∴ 
∴ 
∴ 
- Divide both sides by 
∴ P = 4709.18
The amount you should deposit is $4709.18
Learn more:
You can learn more about the compounded interest in brainly.com/question/2514241
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X = 180 - (90 + 47)
x = 180 - 137
x = 43
answer angle x = 43
First we convert it in seconds.
Number of seconds in 1 minute = 60 seconds
Therefore,
Number of seconds in 4.2 minutes = 4.2 x 60 = 252 seconds.
Next we convert it in hours.
60 minutes make up an hour. So we can write,
Number of hours in 60 minutes = 1 hour
Number of hours in 1 minute = 1/60 hour
Number of hours in 4.2 minutes = 1/60 x 4.2 = 0.07 hour
Therefore, the video is 252 seconds or 0.07 hour long.
Answer:
D
Step-by-step explanation:
Remember how absolute values turn everything inside of it into a positive number? Like |-4|=4 and |4|=4 as well.
Well, it works the same for equations.
When you have an absolute value equation like this, you have to split it into two parts.
The positive version
| d-3.5 | ≤ 1.5
and the negative version
|-(d-3.5)| ≤ 1.5
solve for the value of d in both equation.
<em>Remember that you have to flip the inequality sign when dividing or multiplying by a negative number</em>
I assume you know how to graph the inequality once you get the value for d.
d≤5 and d≥2
so
2 ≤ d ≤ 5
meaning d is between 2 and 5.
Pattern P:
40, 38, 36, 34, 32, 30, …
Pattern Q:
40, 36, 32, 28, 24, 20, …
(absolute) Differences in corresponding terms:
0, 2, 4, 6, 8, 10, …
and these differences agree with the last statement.
