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3 years ago

Solve each system by elimination 10) -4x+9y=9 x-3y=-6

1 answer:

5 0

Multiply the second equation by 3
-4x+9y=9
3x-9y=-18
add the equations together
-x=-9 Simplify
x=9
now plug in your x value
(9)-3y=-6 Simplify
-3y=-6-9
-3y=-15
y=5

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For what fraction of a day will a 12-hour digital clock that shows only the hours and minutes display at least one 5 or 6

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Answer: 4/9

Step-by-step explanation:

Find out combinations without 5 or 6.

Minutes with 5 or 6: 05,06,15,16,25,26,35,36,45,46,50–59. It 10+10=20 minutes per hour. And 40 minutes without 5 or 6.

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3 years ago

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Step-by-step explanation:

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3 years ago

A family is purchasing a house and needs to finance a $195,000 mortgage from the bank with an annual percentage rate (APR) of 5.

Airida [17]

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a) payment: $1082.84

b) interest: $194,822.40

Step-by-step explanation:

The monthly payment on the mortgage can be found using the given formula with the given values of principal (P=195000), interest rate (r=0.053), and time period (t=30). The value of n is 12, corresponding to the number of months in a year.

The monthly payment is ...

$k=\left(1+\dfrac{r}{n}\right)^{nt}=\left(1+\dfrac{0.053}{12}\right)^{12\cdot30}\approx 4.88661119\\\\\text{monthly payment}=\dfrac{P\cdot\dfrac{r}{n}\cdot k}{k-1}=\dfrac{195000\cdot0.0044166667\cdot4.88661119}{4.88661119-1}\\\\\boxed{\text{monthly payment}=\$1082.84}$

The interest owed is the difference between the total of monthly payments and the principal of the loan:

interest owed = (360)(1082.84) -195000 = 194,822.40

The interest owed over 30 years is $194,822.40.

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2 years ago