Answer:
x = -2
Step-by-step explanation:
The tangent line has length "x + 8"
The secant line has length "x + 6 + 5", where
5 is the inner part
x + 6 is the outer part
Now,
the secant-tangent theorem tells us that square of the tangent line is equal to the outer segment of secant line multiplied by length of whole secant line.
So, we can say:
We can solve for x shown below:
The value of x is -2
Answer: 13%
Step-by-step explanation:
We know that the formula to find the simple interest :
, where P is the principal amount , r is rate (in decimal )and t is the time period (in years).
Given : Albert borrowed $19,100 for 4 years. The simple interest is $9932.00. Find the rate.
i.e. P = $19,100 and t= 4 years and I = $9932.00
Now, Substitute all the values in the formula , we get
In percent,
Hence, the rate of interest = 13%
Answer:
Jenny save 4 times for the month
Step-by-step explanation:
Given Jenny has saved over the last 12 months.
She saved either or
a month.
Let the number of months to save be x
Let the number of months to save be y
Total period is 12 month.
Jenny has saved $3,800 over the last 12 months.
Dividing both side from 50 we get,
Now Multiplying equation 1 by 5 we get,
Now Subtracting Equation 3 by equation 2 we get,
Substituting the value of y in equation 1 we get,
∴ Jenny save 4 Months of and 8 Months of
in a 12 month duration
