The residual value or some may term it the salvage value is the value of an item after a certain period of time. Let x be the original msrp (manufacturer suggested retail price), we can calculate for the salvage value as follows:
12,780 = 0.72x
The value of x from the equation generated above is 17,750. Therefore, the original msrp is equal to $17,750.
Answer:
- addition property of equality
- integers are closed to addition
- identity element
- multiplication property of equality
- commutative property of multiplication; reals are closed to multiplication; identity element
Step-by-step explanation:
<u>Given</u>:
c/2 -5 = 7
Step 1: c/2 -5 +5 = 7 +5
Step 2: c/2 +0 = 12
Step 3: c/2 = 12
Step 4: 2(c/2) = 12(2)
Step 5: c = 24
<u>Find</u>:
The property that justifies each step of the solution.
<u>Solution</u>:
Step 1: addition property of equality (lets you add the same to both sides)
Step 2: integers are closed to addition
Step 3: identity property of addition (adding 0 changes nothing)
Step 4: multiplication property of equality
Step 5: closure of real numbers to multiplication; identity property of multiplication
_____
It is hard to say what "property" you want to claim when you simplify an arithmetic expression. Above, we have used the property that the sets of integers and real numbers are closed to addition and multiplication. That is, adding or multiplying real numbers gives a real number.
In Step 5, we can rearrange 2(c/2) to c(2/2) using the commutative property of multiplication. 2/2=1, and c×1 = c. The latter is due to the identity element for multiplication: multiplying by 1 changes nothing.
Apart from the arithmetic, the other properties used are properties of equality. Those let you perform any operation on an equation, as long as you do it to both sides of the equation. The operations we have performed in this fashion are adding 5 and multiplying by 2.
Answer:
Jasmine only.
Jasmine and Kanti only.
No one.
Step-by-step explanation:
There is no possible way to invite all three friends.
Since both Samir and Kanti will not attend if someone else is not invited, Jasmine is the only friend that can be invited on her own:
One person: Jasmine.
When inviting two people, if Jasmine is invited, Samir can't be invited and Kanti will only attend if Jasmine also does. Therefore, Jasmine and Kanti can go together and there is no way Kanti can be invited.
Two people: Jasmine and Kanti.
Furthermore, if nobody is invited, no one will be unhappy.
For this case we must find the product of the following expression:

We apply distributive property term to term:

We add similar terms:

Finally, the expression is as:

Answeer:

I'm assuming that the full statement is ΔABC is congruent to ΔDEF.
Given:
m∠A = 70
m∠B = 47
m∠C = 63
Since both triangles are congruent, the corresponding angles in ΔDEF also has the same measure as those in ΔABC.
m∠D = 70
m∠E = 47
m∠F = 63
The measure of angle F is 63.