5x-6=3x what does x equal

Mathematics

2 answers:

baherus [9]2 years ago

6 0

5x-6= 3x
⇒ 5x-3x= 6
⇒ 2x= 6
⇒ x= 6/2
<span>⇒ x= 3</span>

makvit [3.9K]2 years ago

3 0

5x-6= 3x
⇒ 5x-3x= 6
⇒ 2x= 6
⇒ x= 6/2
⇒ x= 3

Final answer: x=3~

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kozerog [31]

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Given that <span>Beth is taking out a loan of PV = $50,000 to purchase a new home for n = 25 years at an interest rate of r = 14.25%. Since she is making the payment monthly, t = 12.

Her monthly payment is given by:

$50,000=P\left( \frac{1-\left(1+ \frac{0.1425}{12} \right)^{-25\times12}}{ \frac{0.1425}{12} } \right) \\ \\ =P\left( \frac{1-(1+0.011875)^{-300}}{ 0.011875 } \right)=P\left( \frac{1-(1.011875)^{-300}}{ 0.011875 } \right) \\ \\ =P\left( \frac{1-0.028969}{ 0.011875 } \right)=P\left( \frac{0.971031}{ 0.011875 } \right)=81.770994P \\ \\ \therefore P= \frac{50,000}{81.770994} =\$611.46$

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3 years ago

Carl and Sure are planning to buy a new home. They will both retire in 16 years and do not want to have a house payment at that

nataly862011 [7]

The question is incomplete. The complete question is :

Carl and Sure are planning to buy a new home. They will both retire in 16 years and do not want to have a house payment at that time. Which offer should they choose?

Offer 1 Offer 2

Rate: 7% Rate: 6%

Time(years): 30 Time (years): 25

Loan Amount: $200,000 Loan Amount: $200,000

Monthly Payment: $1,330.60 Monthly Payment: $1,288.60

Total Financed:$479,017.80 Total Financed: $386,580.84

Offer 3

Rate: 5%

Time (years): 15

Loan Amount: $200,000

Monthly Payment: $1581.59

Total Financed: $284,685.71

Solution :

It is given in the question that Carl and Sue are planning to purchase a new house for them. Both of them are going to retire after 16 years from now and they do not want to have any house loan to pay at their retirement time.

So from the offers, Carl and Sue should take the Offer 3 to buy a home for them. This is because rate of interest for the loan amount is less as compared to the other two offers and also loan will be completed within 15 years from now. So they will not have any loan payment at their retirement period.

Therefore, they should choose Offer 3.

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