Answer:
It will take 27.19 years
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
, where
- A = the future value of the investment, including interest
- P = the principal investment amount (the initial amount)
- r = the interest rate of interest in decimal
- t = the time the money is invested for
∵ Steve deposits $1250 in an account
∴ P = 1250
∵ The account paying 3.4% annual interest compounded continuously
∴ r = 3.4%
- Change it to decimal by dividing it by 100
∴ r = 3.4 ÷ 100 = 0.034
∵ The account balance will reach to $3150.5
∴ A = 3150.5
- Substitute The values of A, P and r in the formula above to find t
∵ 
- Divide both sides by 1250
∴ 
- Insert ㏑ to both sides
∴ ![ln(2.5204)=ln[e^{0.034t}]](https://tex.z-dn.net/?f=ln%282.5204%29%3Dln%5Be%5E%7B0.034t%7D%5D)
- Remember that 
∵ 
∴ ln(2.5204) = 0.034t
- Divide both sides by 0.034
∴ 27.18875 = t
∴ t ≅ 27.19
It will take 27.19 years
In mathematics multiplying decimals is just like multiplying a whole number and ignoring the decimals., then just put the decimals in the answer – it is how many decimals does the two numbers combined.
First step:
Line the numbers on the right and do not a line the decimal points
26.2
× 16.43
Second Step:
Multiply the numbers starting on the right, just like multiplying a whole number and ignore the decimals.
26.2
<span> × 16.43</span>
786
1048
1572
<span>+ 262 </span>
430466
Third step: add the products
26.2
<span> × 16.43</span>
786
1048
1572
<span>+ 262 </span>
430.466 is the mathematician’s answer.
280 meters wide.
Step 1: Convert kilometers to meters. 1.48=1480
Step 2: Multiply the side length that you have by 2. 2x460=920
Step 3: Subtract 920 from 1480. 1480-920=560.
Step 4: Divide 560 by 2. 560/2=280
There is your answer!
Answer:
Option C
Step-by-step explanation:
You need to begin by separating the shape into two distinct rectangles. The larger one has dimensions 15 cm * 8cm, while the smaller one has dimensions 7cm * 5cm. Adding these together, you get 15*8+7*5=155 square centimeters, or option C. Hope this helps!
Answer:
Step-by-step explanation:
1.Categorize Your Data. Compile your data into categories. ...
2.Find the Total. Add all the numbers together to get the total. ...
3.Divide the Categories. Divide each of the categories by the total. ...
4.Convert to Percentages. Multiply each of the decimals by 100 to get the percentages. ...
5.Calculate the Degrees.
