Juan borrows $ 100 , 000 to pay for medical school. He borrows part of the money from the school whereby he will pay 4.5 % simple interest. He borrows the rest of the money through a government loan that will charge him 6 % interest. In both cases, he is not required to pay off the principal or interest during his 4 yr of medical school. However, at the end of 4 yr , he will owe a total of $ 19 , 200 for the interest from both loans. How much did he borrow from each source?
Juan borrows $ 100 , 000 to pay for medical school. He borrows part of the money from the school whereby he will pay 4.5 % simple interest. He borrows the rest of the money through a government loan that will charge him 6 % interest. In both cases, he is not required to pay off the principal or interest during his 4 yr of medical school. However, at the end of 4 yr , he will owe a total of $ 19 , 200 for the interest from both loans. How much did he borrow from each source?
Solution Summary: The author calculates the amount of money borrowed by Juan from the school and the government that will charge him 6% interest.
Juan borrows
$
100
,
000
to pay for medical school. He borrows part of the money from the school whereby he will pay
4.5
%
simple interest. He borrows the rest of the money through a government loan that will charge him
6
%
interest. In both cases, he is not required to pay off the principal or interest during his
4
yr
of medical school. However, at the end of
4
yr
, he will owe a total of
$
19
,
200
for the interest from both loans. How much did he borrow from each source?
Is the function f(x) continuous at x = 1?
(x)
7
6
5
4
3
2
1
0
-10 -9
-8 -7
-6
-5
-4
-3
-2
-1 0
1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-71
Select the correct answer below:
The function f(x) is continuous at x = 1.
The right limit does not equal the left limit. Therefore, the function is not continuous.
The function f(x) is discontinuous at x = 1.
We cannot tell if the function is continuous or discontinuous.
Question
Is the function f(x) shown in the graph below continuous at x = -5?
f(z)
7
6
5
4
2
1
0
-10
-6 -5
-4
1
0
2
3
5
7
10
-1
-2
-3
-4
-5
Select the correct answer below:
The function f(x) is continuous.
The right limit exists. Therefore, the function is continuous.
The left limit exists. Therefore, the function is continuous.
The function f(x) is discontinuous.
We cannot tell if the function is continuous or discontinuous.
The graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at x = -1.
654
-2-
-7-6-5-4-
2-1
1 2
5 6 7
02.
Select all that apply:
☐ f(x) is not continuous at x = -1 because f(-1) is not defined.
☐ f(x) is not continuous at x = −1 because lim f(x) does not exist.
x-1
☐ f(x) is not continuous at x = −1 because lim ƒ(x) ‡ ƒ(−1).
☐ f(x) is continuous at x = -1
J-←台
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