Answer : X = 97.44
Step-by-step explanation:
Loan of Amount = 1000 to be paid in 20 years
rate of interest = 10%
Year 1 interest due = 0.1 x 1000 = 100
150% of 100 = 150
100 goes into interest, 50 reduce the principal, then principal for 2nd year = 1000-50 = 950
Year 2 interest due = 0.1 x 950 = 95
150% of 95 = 142.5
95 goes into interest, 47.5 reduce the principal, then principal for 3rd year = 950 - 47.5 = 902.50
AFTER 10 YEARS THE AMOUNT LEFT =<u>(0.95)¹⁰ X 1000</u>
598.74
Last ten payment = X
598.74 = X/0(1.1) + X/(1.1)² + X(1.1)³............X(1.1)¹⁰
598.74 =<u> X (0.6144567106) </u>
(1.1) 0.09090909
X = 97.44
Answer:
a^2-12a+35
Step-by-step explanation:
(a-7)(a-5)
a^2-7a-5a+35
a^2-12a+35
The equation of the line is y = -7. If the slope is zero, the line is flat.
Answer:

The third reading must be between 6.3 and 8.1 inclusive.
Step-by-step explanation:
To find the average of three numbers, add the three numbers and divide by 3.
Let the third reading = p.
The average of the three readings is

This average must be between 7.2 and 7.8 inclusive. "Inclusive" means that the values 7.2 and 7.8 are allowed. That means the average must be greater than or equal to 7.2 and less than or equal to 7.8. We can write this as the following inequality.

Simplify the numerator.

Multiply the three sides by 3.

Subtract 15.3 from the three sides.

Answer: The third reading must be between 6.3 and 8.1 inclusive.