Answer: Hi Hope This Helps :D
Step-by-step explanation:
We have to calculate the annual interest rate for the account. Formula for the simple interest is : I = P * r * t, where P is the investment, r is the annual interest rate and t is time in years. In this case: 1,800 = 10,000 * r * 4; 1,800 = 40,000 * r; r = 1,800 : 40,000; r = 0.045, or 4.5 %. Answer: The annual interest rate is 4.5 %
Answer:
x= 6.5 cm
Step-by-step explanation:
When a tangent line touches the circle, it forms a right angle triangle at that point
Apply the Pythagorean relationship in this case
Given that the height is = 20.2 cm = b
The hypotenuse is = c= x+14.7 cm
General formulae is;
a² +b² =c²
x² + 20.2² =( x+ 14.7)²
x² + 408.04= x² +14.7x+14.7x+216.09
x² + 408.04= x² + 29.4 x +216.09.........................collect like terms
x²-x² + 408.04-216.09= 29.4x
191.95= 29.4x-------------------------------divide by 29.4 t0 get x
191.95/29.4 =x
x=6.5 cm
9 times 12 is 108. so 42/108=21/54
Answer:
14
Step-by-step explanation:
The interquartile range is the value of quartile 3 minus quartile 1.
The "box" part of this diagram has 3 lines, the left most, the middle, and the rightmost.
The leftmost line is Quartile 1. The right most is Quartile 3.
Hence
interquartile range = quartile 3 - quartile 1
Looking at the box plot, we can see that each small line in the number line is 2 units.
The leftmost line (quartile 1 ) is at 1 unit left of 30, so that is 30 -2 = 28
The rightmost line (quartile 3) is at 1 unit right of 40, so that is 40 + 2 = 42
Hence,
Interquartile range = 42 - 28 = 14
