Answer:
23
Step-by-step explanation:
Angle x and the two given angles form a triangle. The interior angles of a triangle add up to be 180.
so



Let x be the number of 5 points question.
Let y be the number of 2 points question.
Total number of questions is 38
x + y = 38
Total points is 100
5x + 2y = 100
x + y = 38 ------------- (1)
5x + 2y = 100 ---------(2)
From (1):
x + y = 38
x = 38 - y -------------- sub into (2)
5(38 - y) + 2y = 100
190 - 5y + 2y = 100
3y = 90
y = 30 ------------------ sub into (1)
x + 30 = 38
x = 38 - 30
x = 8
There are 8 5-point questions and 30 2-point questions
Answer:
6(√2 - 5√3).
Step-by-step explanation:
3√2 ( 2 - 5 √6)
= 6√2 - 15√12
= 6√2 - 15√4√3
= 6√2 - 30√3
= 6(√2 - 5√3)
The ratio between the bigger triangle and the smaller triangle is 1:2, which means the smaller triangle is half the size of the bigger triangle.
You simply need to half all the values of the segments of the bigger triangle to find the values of the segments of the smaller triangle.
8/2 = x; 4 = x
6/2 = y; 3 = y
Answer:
Ans. you should deposit each month to end up with $38,000 the amount of $533.33 every month for 5 years at a APR of 6.5%
Step-by-step explanation:
Hi, first we have to convert all the data to monthly basis, that is, 5 years (5*12=60 months) and the rate of 6.5% APR offered by the bank (Monthly rate = 0.065/12=0,005666667 or 0.5667% monthly)
With that in mind, we need to solve for "A" the following equation.

Where:
FV = Future value of the car
r = rate of return offered by the bank
n = number of periods that you are going to make the monthly deposit
That is:




Best of luck.