Answer:
Please check the explanation.
Step-by-step explanation:
Given
f(x) = 3x + x³
Taking differentiate
solving
now solving
Thus, the expression becomes
Thus,
f'(x) = 3 + 3x²
Given that f'(x) = 15
substituting the value f'(x) = 15 in f'(x) = 3 + 3x²
f'(x) = 3 + 3x²
15 = 3 + 3x²
switch sides
3 + 3x² = 15
3x² = 15-3
3x² = 12
Divide both sides by 3
x² = 4
Thus, the value of x will be:
Answer:
$1077.283
Step-by-step explanation:
When complete the first year the amount will be:
1000 * 1.015= 1015
1.015 because the rate is added to the initial amount, that is: 100%+1.5% = 1 + 0.015= 1.015
When complete the second year the amount will be the last year amount adding the rate interest:
1015*1.015=1030.225.
To the third year:
1030.225*1.015=1045.678
To the fourth year:
1045.678*1.015=1061.363
To the fifth year:
1061.363*1.015=1077.283
Answer:
The first number is
72.6
Step-by-step explanation:
Let second number be x.
First number= 6x
Third number= 3x
According to question,
6x+x+3x=121
or, 10x=121
or,x=121/10=12.1
First number= 6x=6×12.1=72.6
Third number=3x=3×12.1=36.3
Answer:
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Improper Fraction =75/14
Mixed Number=5 5/14