Answer:
- 124+73
- 73 miles
- 28% decrease
Step-by-step explanation:
1. Subtracting a number is the same as adding its opposite. The opposite of -73 is 73, so subtracting -73 is the same as adding 73:
... 124 -(-73) = 124 +73
2. Lamar drove 48+55 = 103 miles, but that is not what the question asks. Rather, it asks the straight-line distance from where he is to where he started. That distance (d) is the length of the hypotenuse of the right triangle that has 48 mile and 55 mile legs. The Pythagorean theorem is used to calculate the straight-line distance in such cases.
... d² = 48² + 55²
... d² = 2304 + 3025 = 5329
... d = √5329 = 73 . . . . miles
3. The percentage change between two numbers is calculated from ...
... percent change = ((new value) - (old value))/(old value) × 100%
Putting in your numbers, you have ...
... percent change = (120.96 -168)/168 × 100% = -47.04/168 × 100%
... = -0.28 × 100% = -28%
The minus sign indicates the change is a <em>decrease</em> of 28%.
Answer:
12. x = 48
13. x = 7
Step-by-step explanation:
x/6 = 8
x = 8*6
x = 48
28 = 4x
28/4 = x
x = 7
Answer:
The rate of interest for the investment is 4.7%
Step-by-step explanation:
Given as :
The interest amount for investment = I = $250
The investment amount = p = $3500
The time period for investment = 18 months = 1.5 years
Let The rate of interest applied = r%
<u>Now, From Compound Interest </u>
Amount = Principal ×
∵ Interest = Amount - Principal
So, I = A - p
Or, A = I + p
Or, A = $250 + $3500
i.e A = $3750
∴ A = p ×
Or, $3750 = $3500 ×
Or, =
Or, 1.071428 = =
Or, 1.047069 =
Or, 1.047069 - 1 =
Or, 0.047069 =
∴ r = 0.047069 × 100
i.e r = 4.7069
So, The rate of interest = r = 4.7%
Hence, The rate of interest for the investment is 4.7% Answer
Answer:
C. 20
Step-by-step explanation: