Answer: 5
Step-by-step explanation:
1. You have the following expression given in the problem above:

2. You can estimate the result by rounding the numerator and the denominator.
3. As you can see, you can round up 97.5 to 100.
4. Then, you can round up 1.96 to 2.
5. Therefore, you have:

6. Therefore, the result is 5.
Answer:
y ≈ 5.2
Step-by-step explanation:
∠ F = 180° - (42 + 48)° ← sum of angles in a triangle
∠ F = 180° - 90° = 90°
Thus Δ DEF is right at F
Using the sine ratio in the right triangle
sin48° =
=
=
( multiply both sides by 7 )
7 × sin48° = y , then
y ≈ 5.2 ( to the nearest tenth )
Answer:
a) f(x) = (-1/3)x + 8
b) f(x) = (1/3)x + 9
Step-by-step explanation:
f(x) = 1/3x - 8
a) To reflect across the x axis multiply f(x) by -1.
-f(x) = -1 (1/3x - 8)
= (-1/3)x + 8
b) to translate up 17 units add 17 to f(x)
f(x) + 17=
= 1/3x - 8 + 17
= 1/3x + 9
Answer:
$150
Step-by-step explanation:
Let the account earns 5% APR as simple interest for the invested principal.
Now, the formula of simple interest gives that,
, where A is the final amount, P is the principal amount invested, r is the % of interest and t is the number of years for which the principal is invested.
So, the interest earned will be given by, 
Hence, in our case, $300 is invested for 10 years at a simple interest of 5%. So,
dollars.
Therefore, the amount of interest earned will be $150. (Answer)