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n200080 [17]
3 years ago
6

A student is asked to calculate the value of 212 − 132 using the identity x2 − y2 = (x − y)(x + y). The student's steps are show

n below. Step 1: 212 − 132 = (a − b)(a + b) Step 2: = (c)(d) Step 3: = (8)(30) + 8(4) Step 4: = 240 + 32 Step 5: = 272 What are the values of a, b, c, and d?
Mathematics
1 answer:
xenn [34]3 years ago
7 0
(c)*(d)=8*30+8*4=8*34,=>
c=8
d=34
a+b>a-b, =>a+b=d, a-b=c; =>
{a+b=34
{a-b=8, =>a=b+8 ;
(b+8)+b=34
2b=34-8
b=13
a=13+8=21

Answer: a=21; b=13; c=8; d=34.


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Which is bigger? 30% or 1/3?
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8 0
4 years ago
Aphrodite took out a 30-year loan from her bank for $170,000 at an APR of
horsena [70]

Answer:

  A. $3246.74

Step-by-step explanation:

The monthly payment can be found from the amortization formula.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where P is the principal amount, r is the annual rate compounded n times per year for t years.

Filling in the values, we compute the monthly payment to be ...

  A = $170,000(.072/12)/(1 -(1 +.072/12)^(-12·30)) = $1153.94

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The remaining balance after t years will be ...

  B = P(1 +r/n)^(nt) -A((1 +r/n)^(nt) -1)/(r/n)

For the given initial principal and the computed payment, after 18 years, the balance will be ...

  B = $170000(1 +.072/12)^(12·18) -$1153.94((1 +.072/12)^(12·18) -1)/(.072/12)

  B = $111,054.71

The prepayment penalty appears to be ...

  (r/2)(0.80B) = (.072/2)(0.80)($111,054.71) = $3,198.38

The closest listed answer choice is ...

  A.  $3246.74

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Please ask your teacher how to get the answer, since none of the offered choices appear to be correct.

8 0
3 years ago
6th grade math I reallyyyyy neeedd helpp
UNO [17]
Hello!

Question 6:
To find the area of the pennant, we need to multiply the length by the width. 
12 x 18 = area
12 x 18 = 216
The answer is 216 square inches.

Question 7:
The perimeter of the square is 24cm and the area is 36 square cm.
The perimeter of the rectangle is 30cm and the area is 50 square cm. 
They have different perimeters and different areas.

I hope this helps you! Have a great day!
-Mal

4 0
3 years ago
Ron has 25 coins with a total value of $ 4.30 . the coins are dimes and quarters. how many of each coin does he have?
Gwar [14]
25=d+q
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25=d+q
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7.80= .6d
d=13...... 13 DIMES

25= 13+q
12=q....... 12 QUARTERS
4 0
3 years ago
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