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2 years ago

If a laptop originally costs $800, the balance due after the 10% discount and $150 gift card is applied is

Mathematics

2 answers:

9966 [12]2 years ago

7 0

<em>$570</em> is the correct answer.

KatRina [158]2 years ago

6 0

So the original price is $800. And there is a 10% discount, so:

10% = 80
90% = $720

And there is also a $150 gift card applied, leaving us with a final balance of $570 (720-150)

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What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.

Maksim231197 [3]

Answer: ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE are the additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS.

Step-by-step explanation:

Given: ΔXYZ and ΔEFG such that ∠X=∠F

To prove they are congruent by using ASA or AAS conruency criteria

we need only one angle and side.

1. ∠Z ≅ ∠G(angle) and XZ ≅ FG(side)

so we can apply ASA such that ΔXYZ ≅ ΔFEG.

2. ∠Z ≅ ∠G (angle)and ∠Y ≅ ∠E (angle), we need one side which is not present here.∴we can not apply ASA such that ΔXYZ ≅ ΔFEG.

3. XZ ≅ FG (side) and ZY ≅ GE (side), we need one angle which is not present here.∴we can not apply ASA such that ΔXYZ ≅ ΔFEG.

4. XY ≅ EF(side) and ZY ≅ FG(side), not possible.

5. ∠Z ≅ ∠G(angle) and XY ≅ FE(side),so we can apply ASA such that

ΔXYZ ≅ ΔFEG.

4 0

2 years ago

Read 2 more answers

Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly. What will his balance be after he has made exactly

damaskus [11]

Answer:

The balance be after he has made exactly half of his monthly payments is $56881.4.

Step-by-step explanation:

Given : Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly.

To find : What will his balance be after he has made exactly half of his monthly payments?

Solution :

Formula of monthly payment ,

$M=\frac{\text{Amount}}{\text{Discount factor}}$

Discount factor $D=\frac{1-(1+i)^{-n}}{i}$

Where, Amount = $40,000

Rate r= 4% compounded monthly

$i=\frac{4}{100}=0.04$

Time = 10 years

$n=10\times12=120$

Now, put all the values we get,

$D=\frac{1-(1+i)^{-n}}{i}$

$D=\frac{1-(1+0.04)^{-120}}{0.04}$

$D=\frac{1-(1.04)^{-120}}{0.04}$

$D=\frac{1-0.00903}{0.04}$

$D=\frac{0.9909}{0.04}$

$D=24.7725$

$M=\frac{\text{Amount}}{\text{Discount factor}}$

$M=\frac{40000}{24.7725}$

$M=1614.69$

Half of the monthly payment is $807.345

Payment for 10 years is $807.345\times 120=96881.4$

The balance is $96881.4-$40000=$56881.4

Therefore, The balance be after he has made exactly half of his monthly payments is $56881.4.

3 0

2 years ago

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Which statements are true about the graph of y < Two-thirdsx + 1? Check all that apply. The slope of the line is 1. The line

Marina CMI [18]

The answer would be:

The x-intercept of the boundary line is (-3/2, 0).

The area below the line is shaded.

The slope of the line should be 2/3. The area below the line shaded because the function using y<.....

Coordinate 2,3 doesn't fulfill the function.

y < 2/3x + 1

3 < 2/3(2)+1

3< 4/3+1

3< 2.3 ---->false

X intercept is when the y variable is zero. If you put it to the equation

y = 2/3x + 1

0= 2/3x+1

2/3x= -1

x= -3/2

8 0

1 year ago

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B(n)=−4−2(n−1)b, left parenthesis, n, right parenthesis, equals, minus, 4, minus, 2, left parenthesis, n, minus, 1, right parent

Inessa05 [86]

Answer:

12th term would be -26.

Step-by-step explanation:

Given explicit formula of a sequence,

$b(n) = -4 - 2(n-1)$

Where,

n = number of a term.

i.e. 12th term will get after putting n = 12 in the formula.

Hence, 12th term of the sequence would be,

$b(12) = -4 - 2(12-1)$

$=-4-2(11)$

$= -4 - 22$

$= -26$

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2 years ago

The article points out that caffeine in reasonable amounts of coffee does not appear to be a problem, but "the research is typic

ale4655 [162]

The first one is 500
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2 years ago

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