Answer:
a
Step-by-step explanation:
9801
99 is the greatest 2 digit number so if you do 99x99 you will get 9801
Principal = 109,000
Return - 9,920
Return = (principal x rate x time)/100
X = the amount invested at 12%
Then 102000- x = the amount invested at 8%
9920 = (x*12)/100 + (109000-x*8)100
x = 30,000
a) 30,000 is invested at 12%
79,000 is invested at 8%
b) The 12% investment is riskier so if all the money was in that account the investor could lose all his money.
Given:
Segment AC = 130 feet
Segment CD = 70 feet
I think that I'll be using the Pythagorean Theorem in finding the value of r. r will be the hypotenuse
Segment CE = (r - 70 feet)
r² = a² + b²
r² = 130² + (r-70)²
r² = 16,900 + (r-70)(r-70)
r² = 16,900 + r² - 70r - 70r + 4900
r² - r² + 140r = 16,900 + 4,900
140r = 21,800
r = 21,800/140
r = 155.71 feet
The radius of the circle is 155.71 feet.
Answer:
The two clock will chime together in 75 minutes
Step-by-step explanation:
- The two clock will chime together in the multiples of 15 and 25
- Lets find the first common multiple of 15 and 25
∵ 15 = 5 × 3
∴ The prime factors of 15 are 3 and 5
∵ 25 = 5 × 5
∴ The prime factor of 25 is 5
∴ The lowest common multiple of 15 and 25 = 5 × 3 × 5 = 75
∴ The two clocks will chime together every 75 minutes
