Answer:
A
Step-by-step explanation:
Answer:
The expression (-root3·a - a)², can be simplified into the form a² × (4 + 2·√3)
Step-by-step explanation:
The given expression can be written as follows;
(-root3·a - a)² = (-√3·a - a)²
Which can be expanded to give;
(-√3·a - a) × (-√3·a - a) = 3·a² + 2·√3·a² +a²
We collect like terms to get;
3·a² + 2·√3·a² +a² = 3·a² +a²+ 2·√3·a² = 4·a² + 2·√3·a²
We factorize out the common coefficients of the terms to have;
4·a² + 2·√3·a² = a² × (4 + 2·√3)
Which gives the initial expression (-root3·a - a)², to presented in the form a² × (4 + 2·√3).
Answer:
Let there were total x people at the conference
so 32%of x is 216
32/100×x=216
x=216×100/32
x=675
So total people present at the conference were 675
The interest is a) $7000
b) $17709.73
c) $18672.62
d) $18901.67
What is the formula for simple and compound interest?
Simple interest = (P× r× t)
Compound interest = P(1+r/n)^nt - P
We will find the interest as shown below:
P=$4,000
t=25 years
a) r=7%=0.07
Simple interest = (P× r× t)
= (4000×0.07×25)
= $7000
b) r=7%=0.07
Compound interest = P(1+r)^t - P
= 4000(1+0.07)^25-4000
= $17709.73056
rounding to nearest cents
= $17709.73
c) r=7%=0.07
n=4
Compound interest = P(1+r/n)^nt - P
= 4000(1+0.07/4)^(25*4)-4000
= $18672.62375
rounding to nearest cent
= $18672.62
d) r=7%=0.07
n=12
Compound interest = P(1+r/n)^nt - P
= 4000(1+0.07/12)^(25*12)-4000
= $18901.6728
rounding to nearest cent
= $18901.67
Hence, the interest is a) $7000
b) $17709.73
c) $18672.62
d) $18901.67
Learn more about Interest here:
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Solve for x:
3(x - 5) = 6
Distribute the 3 to the variables inside the parenthesis
3x - 15 = 6
Add 15 to both sides to cancel out the "-15"
3x = 21
Divide both sides by 3
x = 7
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