You can do part a using The Pythagoras theorem:-
30^2 = x^2 + 24^2
x^2 = 30^2 - 14^2 = (30+24)(30-24) = 324
x = 18
Answer: 13.29%
Step-by-step explanation:
The formula to calculate the compound amount (compounded continuously) is given by :-
, where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.
Given : P= $ 35,000 , A= $257,000 and t=15 years
To find : r , we substitute all the values in the above formula , we get

Taking natural log on both the sides , we get

Hence, the annual interest rate = 13.29%
The answer is C
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Answer:
1.4
Step-by-step explanation:
9.5+0.9t
=9.5+0.9(-9)
=9.5+-8.1
=1.4
First, let's only the expression with x stay on the let side: let's add 9 to both sides of the equation.

which is

now, let's multiply everything by 2:


so the answer is -32!