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Annette [7]
2 years ago
8

Solve the equation

Mathematics
1 answer:
motikmotik2 years ago
3 0

Answer:

D

Step-by-step explanation:

\frac{1}{2} (2x + 2) - \frac{1}{4} (3x - 1) = 15

multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions

2(2x + 2) - (3x - 1) = 60 ← distribute parenthesis and simplify left side

4x + 4 - 3x + 1 = 60

x + 5 = 60 ( subtract 5 from both sides )

x = 55

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Answer:

3/-2

Step-by-step explanation:

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4 0
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NEED HELP PLEASE!!!!
soldi70 [24.7K]
The answer is C, 10 7/15 !
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For a given right triangle, side a =400 feet and side b = 900 feet, what is the measure of angle A to the nearest degree.
Nitella [24]
Use A²+B² = C²

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sqrt of 160000 + 810000
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8 0
3 years ago
1. Christopher wants to invest $6200 in a retirement fund that guarantees a return of 9% annually using continously compounded i
frosja888 [35]
1. Continuously compounded formula is given by:
A=Pe^rt
Thus given:
P=$6200, r=0.09, t=20 years:
A=6200e^(0.09*20)
A=37,507.81

Answer: c] $37507.81

2. Compound interest formula is given by:
A=p(1+r/100n)^(nt)
where: n=number of terms, p=principle, t=time, r=rate 
Plugging the values in the formula we get:
A=2600(1+4.25/4*100)^(4*5)
simplifying this we get:
A=$3211.99

Answer: b)$3211.99

3. Using the formula from (2) we have:
A=P(1+r/100n)^nt
plugging in the values we get:
A=2600(1+4.25/400)^(50*4)
Simplifying the above we get:
A=$21526.87

Answer:
A] $21,526.87

4. The price of stock when the bond is worth $68.74 will be:
let the bond price be B and Stock price be S
thus
S=k/B
where
k is the constant of proportionality
thus
k=SB
hence
when S=$156 and B=$23
then
K=156*23
K=3588
thus
S=3588/B
hence
the value of S when B=$68.74
thus
S=3588/68.74
B=52.19668~52.20

Answer: d] $52.20

5. Continuously compounded annuity is given by:

FV =CF×[(e^rt-1)/(e^r-1)]
plugging in the values we get:
FV=500×[(e^(6*0.08)-1)/(e^0.06-1)]
simplifying this we get:
FV=$3698.50
4 0
3 years ago
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