Answer:
z = 8
Step-by-step explanation:
All angles inside a triangle add up to 180 so:
90 + 40 + 5z + 10 = 180
5z + 140 = 180
5z = 40
z = 8
Answer:
The amount we have to deposit in a savings account x = $ 17777.78
Step-by-step explanation:
Amount = $ 20000
R = 2.5 %
Time = 5 years
Take principal amount = x
Simple interest earned in five years
S.I. = 

------- (1)
We know hat total amount is given by
Total amount = principal amount + simple interest
A = x + S.I.


Given that the total amount after 5 years is = $ 20000

x = $ 17777.78
This is the amount we have to deposit in a savings account.
Answer: The cost of each game is $2.50
Step-by-step explanation:
Let's find the equations for each friend:
Friend 1:
Pays $3 for the shoes, and plays 3 games, then if X is the cost of each game, Friend 1 pays a total of:
$3 + 3*X
Friend 2:
This friend buys a soda for $0.50, and he plays 4 games, remember that the cost of each game was X. then this friend pays:
$0.50 + 4*X
And we know that both friends pay the exact same amount, then we can write:
$3 + 3*X = $0.50 + 4*X
And solve this for X.
We need to isolate X, then we can move all the terms with X to the right, and all the terms without X to the left:
$3 - $0.50 = 4*X - 3*X
$2.50 = (4 - 3)*X = X
This means the cost of each game is $2.50
<u>Understanding:</u>
The sum of a geometric series is,
, with a being the start point and r is the common ratio. We can also use the following formula to make life easier
, a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.
<u>Solution:</u>
Our start point is 1,
,
The common ratio is 5,
,
And finally, the number of terms is 7,
.

The answer is [A] 19531.
we know that
To find the company with the greatest total employee compensation package, adds each company's gross pay, paid insurance, and paid time off, then subtract the job expenses on the sum
So
Find the total employee compensation package for each company
Step 
Find the total employee compensation package for company A


Step 
Find the total employee compensation package for company B


Step 
Find the total employee compensation package for company C


Step 
Find the total employee compensation package for company D


therefore
the answer is
the company with the greatest total employee compensation package is the company C