What is the total length of weather stripping needed for 12 windows that each measure 90 cm by 12?

ziro4ka [17]

This is an EXPONENT.

To do this all we need to do is multiply the base by itself how many times the power says.

(-6)² = (-6) × (-6) = 36

Recall that any negative number times another negative number is positive so that is why this would be positive.

So, (-6)² = 36

Hope I helped ya!!

4 0

4 years ago

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Enos took out a 25-year loan for $135,000 at an APR of 6.0%, compounded monthly, and he is making monthly payments of $869.81. W

Alborosie

Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81

Future value of loan after 16 years
$F=P(1+i)^n$ [compound interest formula]
$=135000(1+.005)^{16*12}$
$=351736.652$

Future value of payments after 16 years
$\frac{A((1+i)^n-1)}{i}$
$=\frac{869.81((1+0.005)^{16*12}-1)}{0.005}$
$=279287.456$

Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20

Note: the exact monthly payment for a 25-year mortgage is
$A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}$
$=\frac{135000(0.005*(1+0.005)^{25*12}}{(1+0.005)^{25*12}-1}$
$=869.806892$

Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.

So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.

The closest choice is therefore $72,449.19

6 0

3 years ago

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A store charges 6% VAT on all sales. What is the total cost of a shirt marked at $30

AURORKA [14]

Answer:

$31.8

Step-by-step explanation:

Assuming the 6% tax is separate from the $30, we can use this equation:

Total = Cost + Tax (pretty self explanatory)

Method 1

Total = $30 + (6% * $30)

Total = $30 + $1.8

Total = $31.8

Method 2

Total = $30 * 1.06 (The 1 is the original cost, the .06 is the 6% tax)

Total = $31.8

8 0

3 years ago

Let u be an angle in the 4th quadrant with cos u=8/9 Then sin u=

lutik1710 [3]

To solve for the last side of the triangle, use the Pythagorean Theorem:
(8)^2 + x^2 = (9)^2
x = sqrt of 17
However, this is a NEGATIVE sqrt 17 because the terminal side is in quadrant 4, meaning that this side is under the X-axis and therefore negative.
Now that you know the side opposite of u in the triangle, do opposite/hypotenuse.
sin u = -(sqrt 17)/9

5 0

4 years ago

Find the product of (5x+20) and the multiplicative inverse of 5.

Fiesta28 [93]

Answer:x

+

4

Explanation:

Product is the answer to a multiplication.

The multiplicative inverse is the same as the reciprocal.

(

5

x

+

20

)

×

1

5

=

5

x

+

20

5

=

x

+

4

Step-by-step explanation:

8 0

3 years ago

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