9514 1404 393
Answer:
4254.31
Step-by-step explanation:
The compound interest multiplier is ...
m = (1 +r/n)^(nt) . . . . annual rate r compounded n times per year, t years
For 11% compounded quarterly for 18 years, the multiplier is ...
m = (1 +0.11/4)^(4·18) = 1.0275^72 ≈ 7.0516671
If 30,000 is the future value, then the present value is ...
PV = FV/m = 30,000/7.0516671
PV ≈ 4254.31
Answer:
A) 150 m
B) 180.28 m
Step-by-step explanation:
A) In order to find the horizontal distance from the base of the cliff to the speed boat, use the Pythagorean theorem to calculate the length of the missing side.
We are told that one of the sides is 80 m and the hypotenuse is 170 m. Therefore,
- a² + b² = c²
- (80)² + b² = (170)²
- b² = 170² - 80²
- b² = 22500
- b = 150
The horizontal distance between the base of the cliff and the boat is 150 m.
B) Now, the side that was 80 m is now 100 m (includes the height that the helicopter is above Jumbo). The horizontal distance remains the same, 150 m, but the hypotenuse is different. Solving for the hypotenuse will give us the distance between the helicopter and the speed boat.
- (100)² + (150)² = c²
- 32500 = c²
- 180.28 = c
The distance between the helicopter and the speed boat is 180.28 m.
Answer:
Direct Variation Use y=kx. Means “y varies directly with x.” k is called the constant of variation. “y varies inversely with x.” k is the constant of variation.
Step-by-step explanation:
Answer:
B) The data is skewed right.
Step-by-step explanation:
The data is not skewed right. You can tell because the left side of the box is longer than the right, meaning that it is skewed left.
Answer:
1302 males & 3038 females
Step-by-step explanation:
3x + 7x = 4340
10x = 4340
x = 434
3(434) = 1302 males
7(434) = 3038 females
