The exterior angle at the intersection of the tangent and secant has a measure that is half the difference between the intercepted arcs.
... ((10x+20) -80)/2 = 2x+15
... 5x -30 = 2x +15
... 3x = 45
... x = 15
So, the unknown arc to the right has measure
.. 10x + 20 = 10·15 +20 = 170
And the arcs of the circle total 360°.
... 80 + z + 170 = 360
... z = 360 - 250 = 110 . . . subtract 250 from both sides
The appropriate choice for the value of z is
... B. 110
Given: Principal Amount (P) = $300
The rate of interest (r) = (3/4) compounded quarterly.
No. quarters in 3 years (n) = 3×4 = 12
To find: The amount for the CD on maturity. Let it will be (A)
Formula: Compound Amount (A) = P [ 1 + (r ÷100)]ⁿ
Now, (A) = P [ 1 + (r ÷100)]ⁿ
or, = $300 [ 1 + (3 ÷400)]¹²
or, = $300 × [ 403 ÷ 400]¹²
or, = $300 × 1.0938069
or, = $ 328.14
Hence, the correct option will be C. $328.14
Answer:
this one 1/5 = 3 x a
Step-by-step explanation:
1/5 =3×a (divied both side by 3)
a= 1/5 ÷3
Answer: 20x
Step-by-step explanation:
First we should note that 60 minutes = 1 hour. Therefore, 15 minutes = 15/60 = 1/4 hour
Since Jean can pack 5 cartons in 1/4 hours, the number of carton that he can pack in one hour will be:
= 5 ÷ 1/4
= 5 × 4
= 20 cartons.
Therefore, to get the number of cartons that Jean can pack in x hours, we will multiply 20 by x. This will be:
= 20 × x
= 20x
Answer:
5
Step-by-step explanation:
