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Alina [70]
3 years ago
12

X2 + 2 – 42 = 0. Solve quadratic equation

Mathematics
2 answers:
kari74 [83]3 years ago
6 0

Answer:

2\sqrt{10}, -2\sqrt{10}

Step-by-step explanation:

(x^2) + 2 - 42 = 0

(x^2) - 40 = o

x =± \sqrt{40\\}

x =± 2\sqrt{10}

Therefore x = 2\sqrt{10}, -2\sqrt{10},

grigory [225]3 years ago
4 0

Answer:

-2√10, 2√10

Step-by-step explanation:

Graphing x²-40 would be the fastest way to go. However, because this is not factorable, you have to use the quadratic formula to solve it if you want to do it algebraically.

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You save for retirement over 30 years by investing $850/month in a stock account that yields 10%. You invest $350/month in a bon
sergejj [24]

Answer:

  $13,287.70

Step-by-step explanation:

The future value of the stock account is computed as the sum of a geometric series. This computation assumes that the annual yield is compounded monthly.

  FV = p((1+r/12)^(12n) -1)/(r/12)

For the stock account, p=850, r=0.10, n=30, so the future values is ...

  FV = 850((1+.10/12)^360-1)/(.10/12)) = 1,921,414.74

For the bond account, p=350, r=.06, n=30, so the future value is ...

  FV = 350((1+.06/12)^360 -1)/(.06/12) = 351,580.26

The combined account value at the end of 30 years is ...

  $1,921,414.74 + 351,580.26 = $2,272,995.00

_____

The monthly payment that can be made over a 25 year period is given by the amortization formula.

  A = P(r/12)/(1 -(1 +r/12)^(-12n))

  = $2,272,995.00(.05/12)/(1 -(1+.05/12)^-300) = $13,287.70

You can withdraw $13,287.70 each month assuming a 25-year withdrawal period.

6 0
3 years ago
Rewrite (y x 6) x 5 using the associative property. ​
nasty-shy [4]

Answer:

y * ( 6*5)

Step-by-step explanation:

(y x 6) x 5

We can change the order of multiplication by changing where the parentheses are placed using the associative property

y * ( 6*5)

6 0
3 years ago
Read 2 more answers
If $500 is shared in the ratio 2:3:9 then the difference between the largest and the smallest shares is
madreJ [45]

Answer:

$250

Step-by-step explanation:

Total parts:

2+3+9 = 14

500/14 = 250/7

2×250/7 : 3×250/7 : 9×250/7

500/7 : 750/7 : 2250/7

The largest share is 2250/7, the smallest share is 500/7.

Find the difference.

2250/7 - 500/7 = 250

8 0
3 years ago
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Help I’m trying to finish this math tests
Simora [160]

Answer:

2...................

8 0
3 years ago
The city is replacing all the streets, curbs, and gutters in Middleville. The homeowners on both sides of the street are charged
bija089 [108]
Mr. Kyle will be expected to pay $8,100.

The total cost for his land would be 120 x 90 = 10,800.

Since the city is paying 25%, he must pay the other 75%.

0.75 x 10800 = 8100
8 0
3 years ago
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