No, it is not a perfect cube. A perfect cube is a number that is obtained when you cube an integer. For example, 8 (cube of 2), 27 (cube of 3) and 64 (cube of 4). Since -3 cannot be obtained by cubing an integer, it is not a perfect cube.
The account balance after 3 years if the interest is compounded continuously is $5,142.62
<h3>How to find compound interest?</h3>
- Principal, P = $4,700
- Time,t = 3 years
- Interest rate, r = 3%
r = 3/100
r = 0.03 rate per year,
A = Pe^rt
A = 4,700.00(2.71828)^(0.03)(3)
= 12,775.916^0.09
A = $5,142.62
Therefore, the account balance after 3 years if the interest is compounded continuously is $5,142.62
Learn more about compound interest:
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Answer:
a) Given expression,
12% of 312
Since 100% of 312 = 312
⇒ 10% of 312 = 31.2,
⇒ 1% = 3.12
⇒ 2% = 2 × 3.12 = 6.24
So, 12% of 312 = 10% of 312 + 2% of 312
= 31.2 + 6.24
= 37.44
b) Given,
Total number of servings = 312,
The percentage of vitamin C in each serving = 12%,
Thus, the total amount of the vitamin C in 312 servings = 12% of 312
= 37.44,
Hence, the question can be asked about the total amount of the vitamin C.
40x+8x^2=0 can be solved for x (there are two solutions):
Divide all 3 terms by the greatest common multiple (which is 8x):
40x+8x^2=0
------------- -----
8x 8x
5 + x = 0 produces the root x = - 5.
Setting 8x = 0 and solving for x produces the root x = 0.
Be certain to check these results. substitute x = -5 into 40x+8x^2=0. Is the resulting equation true or false? Next, subs. x=-5 into 40x+8x^2=0. Is the resulting equation true or false?
Answer:
The temperature of Savannah's liquid to the nearest degree Fahrenheit is 75.2.
Step-by-step explanation:
The general formula to convert celsius into fahrenheit is
F=(C*9/5)+32
F= 24 *9/5 +32
F= 24*1.8 +32
F= 43.2 +32
F= 75.2
Therefore, The temperature of Savannah's liquid to the nearest degree Fahrenheit is 75.2
