1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nastasia [14]
2 years ago
7

Say you are considering two loans. Loan F has a nominal interest rate of 5. 66%, compounded monthly. Loan G has a rate of 6. 02%

, compounded semiannually. Which loan will give the lower effective interest rate, and how much lower will it be? a. Loan G’s effective rate will be 0. 091 percentage points lower than Loan F’s. B. Loan G’s effective rate will be 0. 058 percentage points lower than Loan F’s. C. Loan F’s effective rate will be 0. 302 percentage points lower than Loan G’s. D. Loan F’s effective rate will be 0. 149 percentage points lower than Loan G’s.
Mathematics
1 answer:
kompoz [17]2 years ago
6 0

Option C:  Loan F's effective rate will be 0.302 percentage points lower  than Loan G's.

<h2>Given that:</h2>
  • For loan F: Interest rate is 5.66% compounding  monthly.
  • For loan G: Interest rate is 6.02% compounded semi-annually.

<h2>Calculations:</h2>

Effective rate for loan F will be calculated as:

r = (1 + \dfrac{0.0566}{12})^{12}  - 1    \: \: ; n = 12\\or\\r = 0.0580916

Effective rate for loan G:

r = (1 + \dfrac{0.0602}{2})^{2}  - 1    \: \: ; n = 2\\or\\r = 0.061106

Thus the difference between effective rate of loan G from that of loan F is

= 0.061106 - 0.058091\\\approx 0.00302\\or\\0.00302  \times 100 \: percent\\\\= 0.302 \: percent

Thus option C is correct.

Learn more here:

brainly.com/question/25857212

You might be interested in
Which of the four is it? ​
Anna11 [10]

Answer:

option 1 i believe

Step-by-step explanation:

just worked it out

i hope this is right and helps <3

6 0
3 years ago
Consider the function f(x)=xln(x). Let Tn be the nth degree Taylor approximation of f(2) about x=1. Find: T1, T2, T3. find |R3|
Fynjy0 [20]

Answer:

R3 <= 0.083

Step-by-step explanation:

f(x)=xlnx,

The derivatives are as follows:

f'(x)=1+lnx,

f"(x)=1/x,

f"'(x)=-1/x²

f^(4)(x)=2/x³

Simialrly;

f(1) = 0,

f'(1) = 1,

f"(1) = 1,

f"'(1) = -1,

f^(4)(1) = 2

As such;

T1 = f(1) + f'(1)(x-1)

T1 = 0+1(x-1)

T1 = x - 1

T2 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2

T2 = 0+1(x-1)+1(x-1)^2

T2 = x-1+(x²-2x+1)/2

T2 = x²/2 - 1/2

T3 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2+f"'(1)/6(x-1)^3

T3 = 0+1(x-1)+1/2(x-1)^2-1/6(x-1)^3

T3 = 1/6 (-x^3 + 6 x^2 - 3 x - 2)

Thus, T1(2) = 2 - 1

T1(2) = 1

T2 (2) = 2²/2 - 1/2

T2 (2) = 3/2

T2 (2) = 1.5

T3(2) = 1/6 (-2^3 + 6 *2^2 - 3 *2 - 2)

T3(2) = 4/3

T3(2) = 1.333

Since;

f(2) = 2 × ln(2)

f(2) = 2×0.693147 =

f(2) = 1.386294

Since;

f(2) >T3; it is significant to posit that T3 is an underestimate of f(2).

Then; we have, R3 <= | f^(4)(c)/(4!)(x-1)^4 |,

Since;

f^(4)(x)=2/x^3, we have, |f^(4)(c)| <= 2

Finally;

R3 <= |2/(4!)(2-1)^4|

R3 <= | 2 / 24× 1 |

R3 <= 1/12

R3 <= 0.083

5 0
2 years ago
Slope of (5, 10) and (1, 6)
Fed [463]

Hope this helps :D

Your welcome

5 0
2 years ago
Read 2 more answers
Could the table of (x,y) pairs
Marianna [84]
B) No. the x values and the y values do not all increase by the same number
7 0
3 years ago
Read 2 more answers
A model jet is fired up in the air from a 16-foot platform with an initial upward velocity of 52 feet per second. The height of
ZanzabumX [31]
Option B: 1.6 s.

Although the equation is not included, you can obtain it by physical considerations

H(t) = -16.t^2 + 52t + 16

The maximum point is at the vertex and the vertex is in the middle of the roots.

The roots are when H(t) = 0,

So you have to solve 0 =-16t^2 + 52t + 16

Use the quadratic formula and you will find t = 3.53 and t =-0.28

Then the vertex is at the middle point = (3.53 -.028)/2 =1.63 s and the answer is option B: 1.6 s.
5 0
3 years ago
Other questions:
  • What’s the answer to rounding 5,374 to the nearest hundred
    12·2 answers
  • PLEASE HELP I REALLY WANNA PASS , Im trying to post this image ILL GIVE A MEDAL
    10·2 answers
  • WILL GIVE BRAINLIEST PLZ ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
    15·2 answers
  • ✏solve if you are a genius. no trick. pure math. gud luck solve it you are standing in one big palace where a king and his 5 que
    9·1 answer
  • Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function h(x) = 103. She reads about
    14·1 answer
  • What is the Inverse function of f(x)= x^2 - 49
    5·2 answers
  • 5. Is 7 a solution to the compound inequality "-3 &lt; x &lt; 6"
    15·1 answer
  • -2x - y = -9<br><br>5x -2y = 18<br>Solve as a whole number
    11·1 answer
  • What percentage of 4m is 20m
    7·2 answers
  • Q. Find the measure of QR
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!