Answer:
$177.38
Step-by-step explanation:
The first thing you want to do is figure out your variables. In A = Pe^(rt), "A" is the end amount (AKA however much money you have after however much time), "P" is the principle amount (AKA however much you have to start with), "r" is the rate, and "t" is the time. Take all the information they gave you in the problem and try to place it in one of these categories.
Tyler opened a savings account 6 years ago. Ding-ding, we've got a time. The account earns 2% interest, compounded annually. There's our rate. If the current balance is $200.00, how much did he deposit initially?
So, sort these out. t = 6 years. r = 2%, or r = .02. The current balance is $200.00, so is this your end amount or the money you had to start with? Well, since the question is asking you to find how much Tyler deposited initially, you know for sure $200.00 is your end amount ("A"). Let's find out what he started with.
200 = Pe^(.02)(6)
Note that e is not a variable, but a value. You won't ever replace it; it's part of your formula. What you want to solve for here is "P" to get your starting amount. Divide both sides by e^(.02)(6), and you'll see:
P = 200/[e^(.02)(6)] = 177.3840873
Since we're talking money, round that to the nearest cent like your question asked, and you get $177.38. You can check your answer by plugging this value back into A = Pe^(rt) with $177.38 being the principle amount. You get $200 back, so the answer is correct.
Answer:
1130.4 cubic meters
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
My answer:
The composite solid has two cones:
- The height of the big cone is: 12 m
- The height of the small cone is: 18
- The radius of the common base of the two cones is: 6 m
=> the volume of the big cone is:
V = (1/3)π·h = (1/3)*3.14**18 = 678.24 cubic meters
=> the volume of the small cone is:
V = (1/3)π·h = (1/3)*3.14**12 = 452.16 cubic meters
=> the volume of the composite solid :
= 678.24 + 452.16
=1130.4 cubic meters
Answer: 65% of 34 is 22.1
Step-by-step explanation: Formula: 65% of 34 = 0.65 x 34 = 22.1
1. Convert 65% to a decimal. 0.65%
2. Multiply 0.65 by 34.
0.65 x 34 = 22.1
9514 1404 393
Answer:
- √51 ≈ 7.141
- 1313/9900 ≈ 0.133
- ∛971 ≈ 9.902
Step-by-step explanation:
The usual rules of rounding apply. If the digit in the 4th decimal place is 5 or more, then 1 is added in the 3rd decimal place. The roots are found using your calculator. The first 4 digits of the repeating decimal are clearly visible already.
a) √51 ≈ 7.141428... ≈ 7.141
b) 0.1326_26 ≈ 0.133
c) ∛971 ≈ 9.90238... ≈ 9.902
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<em>Additional comment</em>
The repeating decimal is equivalent to the fraction 1313/9900.
<span>just plug in .02 for x.</span>