Answer:
C
Step-by-step explanation:
-8 14 = 42 (He subtracted 14 from 42)
-8p = 28 (Which is how he got 28)
p = -3.5 (He took 28 divide by -8 which got him -3.5)
9514 1404 393
Answer:
D 2.14
Step-by-step explanation:
The lengths of interest are the hypotenuses of the respective triangles. We are given the angle and the opposite side, so the sine relation is of interest.
Sin = Opposite/Hypotenuse
sin(34°) = AC/AB ⇒ AB = AC/sin(34°)
sin(53°) = AC/AD ⇒ AD = AC/sin(53°)
The desired difference in lengths is ...
AB -AD = AC(1/sin(34°) -1/sin(53°)) = 4(1.78829 -1.25214) ≈ 2.1446
The difference in lengths is about 2.14 units.
Answer:
After 1 year: $7,256.59
After 5 years: $8,380.52
After 20 years: $14,381.03
APY = 3.66%
Step-by-step explanation:
If you deposit $7000 with an interest of 3.6%, after 1 year using continuous compounding, you will have
After 5 years you will have
After 20 years
To find the APY for the account, we have to compute the interest earned in one year.
We can do it by cross multiplying or by finding a number x such that
Operating on this equation we obtain
x = 0.0366 or 3.66%
Let us assume the original price of the shirt = x
Let us assume the sale price of the shirt = y
20x/100 = y
x/5 = y
x = 5y
Now the second equation that we get is
x = y + 5
5y - y = 5
4y = 5
y = 5/4
Now putting the value of y in the first equation we get
x = 5y
= 5 (5/4)
= 25/4
= 6 1/4
Then we can say that the original price of the shirt was 6 1/4. The main trick of this problem lies in the words that have been used in the question. It is important to understand the question first before starting to solve the problem.