Answer:
see below
Step-by-step explanation:
When you must do the same tedious calculation several times with different numbers, it is convenient to let a spreadsheet program do it for you. Here, the spreadsheet function PMT( ) computes the payment amount for the given interest rate, number of payments, and loan amount.
The loan amount is 90% of the purchase price.
The total interest over the life of the loan is the sum of the payments less the original loan amount.
The total monthly payment is the sum of the loan payment and the monthly escrow amount, which is 1/12 of the annual escrow amount.
_____
Here, we computed the total of payments using the unrounded "exact" value of each payment. We take this to be a better approximation of the total amount repaid, since the last payment always has an adjustment for any over- or under-payment due to rounding.
The supplement of < 72 has the same measure as < (4x + 8). Therefore, < (4x + 8) must equal 108°. We can establish the following equality statement to solve for x:
< (4x + 8) + < 72° = 180°
Combine like terms:
4x + 80 = 180°
Subtract 80 from both sides:
4x + 80° - 80° = 180° - 80°
4x = 100
Divide both sides by 4 to solve for x:
4x/4 = 100/4
x = 25
To verify whether the value of x is correct, substitute its value into the equality statement:
< (4x + 8)° + < 72° = 180°
< [4(25) + 8]° + < 72° = 180°
< (100 + 8)° + < 72° = 180°
< 108° + < 72° = 180°
180° = 180° (True statement. Therefore, the correct answer is x = 25).
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Answer:
2 - 8i
Step-by-step explanation:
The additive inverse of something is basically the opposite of it. Another way to say this is that when you add the additive inverse to -2 + 8i, it will equal 0.
<u>An example:</u>
The additive inverse of 7 is -7 because not only is it the opposite, but also when you add 7 and -7, it equals 0.
<u>To solve</u>
So all you need to do is find the opposite of -2 + 8i. You can write it as:
-(-2 + 8i) With the negative in the front because we want to find the opposite.
This then equals:
2 - 8i
You can check your answer by adding -2 + 8i and 2 - 8i to see if it equals 0:
(-2 + 8i) + (2 - 8i) → and it does equal 0
<u>ANSWER:</u> 2 - 8i
Hope you understand and that this helps with your question! :)
Answer:
x = -15 or 15
Step-by-step explanation:
We can simplify |x| - 3 = 15 to |x| = 15 because we can add 3 on both sides due to -3 being outside of the absolute value bars. Next, we can say that x is either 15 or -15 because of the absolute value (|15| is equal to 15 and |-15| is also equal to 15).
Movie starts 7:20 PM
2 hours = 02:00
28 minutes = 00:28
1.) 2 hours and 28 minutes = 02:28
2.) Movie starts 7:20 PM
You want to find out what time the movie will end
07:20 PM (start time)
+ 02:28 (movie time)
-------------------------------------
09:48 PM (movie end)
The movie will end at 9:48 PM