Let a, b, c represent the numbers of subscribers who watched 1, 2, and 3 videos, respectively.
.. a +b +c = 312 . . . . . . . there are 312 subscribers, total
.. a +2b +3c = 740 . . . . there were 740 total views
Subtract double the first equation from the second.
.. (a +2b +3c) -2(a +b +c) = (740) -2(312)
.. c -a = 740 -624 = 116
116 more people watched all three videos than watched one video.
Problem 10
You are correct. You divide 360 over the exterior angle measure to get 360/72 = 5
=========================================================
Problem 11
x = 33 is correct as this angle is an alternate interior angle pair with the 33 degree angle up top
y = 38 is correct since y+33+109 = 180 solves to y = 38. In other words: 38+33+109 = 180
z = 109 is correct. The opposite angles of a parallelogram are congruent
Answer: $4,365.10
Step-by-step explanation:
Ok, we know that:
The account starts with $2350
There is a simple interest of 3.75% (or 0.035).
Then after one year, the amount in the account will increase by 3.75%, this means that the amount will be:
$2350 + 0.035*$2350 = (1.035)*$2350.
After another year, we have the same increase (but applied to the new amount in the account):
(1.035)*$2350 + 0.035*(1.035)*$2350. = (1.035)^2*$2350
And so on.
You already can see the pattern here, the amount of money in the saving account after N years will be:
M(N) = $2350*(1.035)^N.
Now we can answer:
what is the balance of the account if it earns a simple interest of 3.75% for 18 years?
Just replace N by 18 in that equation:
M(18) = $2350*(1.035)^18 = $4,365.10
Answer:
5.50x + 2y ≤ 18
Step-by-step explanation:
Romona has a total of $18 and she has to spend it on dog food.
Dry god food cost $5.50 per bag and wet dog food cost $2.00 per can.
We have to write an inequality to show the above condition.
Let the number of dry and wet dog food she buys be x and y.
The total cost of dog food must be less than $18.
Then,
5.50x + 2y ≤ 18
This is the required linear inequality.
