How much would $500 invested at 8% interest compounded continuously beworth after 3 years? Round your answer to the nearest cent.
Alt) - Poet
A. $629.86
B. $620.00
C. $641.28
D. $635.61
Answers
Based on the given parameters, the value of the investment after 3 years is $629.86
How to determine the amount in five years?
The given parameters about the compound interest are
Principal Amount, P = $500
Interest Rate, R = 8%
Time, t = 3
Compound interests are different from simple interest, and they are calculated using the following compound interest formula
CI = P(1 + R)^t - P
To calculate the amount, we have:
A = P + CI
So, the equation becomes
A = P + P(1 + R)^t - P
Evaluate the like terms
A = P(1 + R)^t
Substitute the known values in the above equation
A = 500 * (1 + 8%)^3
Express 8% as decimal
A = 500 * (1 + 0.08)^3
Evaluate the sum
A = 500 * (1.08)^3
Evaluate the exponent
A = 500 * 1.259
Evaluate the product
A = 629.86
Hence, the value of the investment after 3 years is $629.86
Read more about compound interest at:
#SPJ1
Answer:
Step-by-step explanation:
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List the operations in the order you will perform them to simplify 12+(60-2)÷7.
Answers
Hey there!
Ratio = division
now, division of boys over girls
= 6 / 15
= 2 / 5
Ratio = 2 : 5
Hope helps!
Answer:
2:5
Step-by-step explanation:
Answers
The problem here is: Too many words.
If you boil the problem down to the bare facts, the question is:
"$210 is 15% of what number ?"
I'm pretty sure you can take it from there,
but here's the rest of it anyway:
$210 = 15% of (March amount)
$210 = 0.15 x (March amount)
Divide each side by 0.15 : $1400 = March amount .
Check:
1400 + 210 = 1610
1.15 x 1400 = 1610 yay!
Answers
The algebraic expression which can be used to represent the length of the hypotenuse (h) of an isosceles right triangle is h=x√2.
How to write algebraic expression?
Algebraic expression are the expression which consist the variables, coefficients of variables and constants. The algebraic expression are used to represent the general problem in the mathematical way to solve them.
Steps to write down the simple algebraic expression-
- Identify all the factors of the expression.
- Assume a variable for the changing values.
- Put a coefficient for the variable, if there is any rate of change of variable.
- Use constant numbers for the fixed values.
An isosceles right triangle is a right triangle with congruent legs. The length of each leg is represented byx.
According to the Pythagoras theorem says that in a right angle triangle, the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.
Let suppose the length of the hypotenuse is h. Thus, the algebraic expression can be used to represent the length of the hypotenuse is,
Hence, the algebraic expression which can be used to represent the length of the hypotenuse (h) of an isosceles right triangle is h=x√2.
Learn more about the algebraicexpression here;
a^2+b^2=c^2
if each leg (a and b) = x, then
x^2+x^2=c^2
2x^2=c^2
solving for c by taking the square root of both sides leaves
c=x×sqrt(2)
c must be positive since its a length, so no need for a +- I. this case
Answers
Answer:
4.46
Step-by-step explanation:
The formula for diameter (Yes, diameter, stick with me here.) is d = c/π. Plug in your circumference; d = 28/π, which equals 8.912676813 rounded to the nearest billionth. The formula for radius is d/2. So, 8.91267813/2 is 4.456338407 (rounded to the nearest billionth) generally, you are supposed to round to the nearest hundredth. Unless the question says otherwise, the 6 rounds the 5 up, leaving you with 4.46 as the final answer.
How long will each piece of hose be?
Shorter piece: ft
Longer piece: ft
Answers
27-3=24
Then, we divide the left over length by three. This will provide us with the length for the shorter piece.
24/3=8
The shorter piece will be 8 feet long.
Now, we double that to find the longer piece without the additional 3 feet.
8x2=16
And we add those two (8 and 16) together to make sure it is equal to the 24 we divided into 3 earlier.
16+8=24
Now all that's left is to add the extra 3 feet to the 16 feet.
16+3=19
And add that to the 8 feet, to check to make sure the lengths add up to our original 27 feet.
19+8=27
Therefore, the two pieces are the following lengths:
Shorter piece: 8 feet
Longer piece: 19 feet
Answer:
Shorter piece: 8ft
Longer piece: 19ft
Answers
5(3a-1)-2(3a+2)=3(a+2)+v
15a-5-6a-4=3a+6+v
add like terms
9a-9=3a+6+v
subtract 6 from both sides and get
9a-15=3a+v
subtract 3a from both sides and get
6a-15=v or 3(2a-5)
so the answers are D,E
or if you want to avoid doing allot of math, you could just figure out which two answer choices are the same (D,E)
15a-5-6a-4=3a+6+v
9a-9=3a+6+v
9a-15=3a+v
6a-15=v or 3(2a-5)
so the answers are D,E
SORRY I GOT THE OTHER WRONG!