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
Talja [164]
3 years ago
15

Mike is looking for a loan. He is willing to pay no more than an effective rate of 8.000% annually. Which, if any, of the follow

ing loans meet Mike’s criteria? Loan X: 7.815% nominal rate, compounded semiannually Loan Y: 7.724% nominal rate, compounded monthly Loan Z: 7.698% nominal rate, compounded weekly a. Y only b. X and Z c. Y and Z d. None of these meet Mike’s criteria.
Mathematics
2 answers:
RoseWind [281]3 years ago
8 0
If Mike is willing to pay no more than an effective rate of 8.000% annually, the loans that meet his criteria are loan X and loan Z. Of those two, the lowest would be loan X.  I hope the answer will help you :)
LiRa [457]3 years ago
4 0

Answer:

b. X and Z

Step-by-step explanation:

Since, the effective rate is,

r=(1+\frac{i}{n})^i-1

Where, i is the nominal rate,

n is the number of compounding periods,

For loan X,

i = 7.815 % = 0.07815,

n = 2, ( 1 year = 2 semiannual )

Thus, the effective rate would be,

r=(1+\frac{0.07815}{2})^2-1

=0.079676855625

=7.9676855625\%\approx 7.968\%

Since, 7.968 % < 8.000 %,

⇒ Loan X meets Mike's criteria,

For loan Y,

i = 7.724 % = 0.07724,

n = 12 ( 1 year = 12 months ),

Thus, the effective rate would be,

r = ( 1+\frac{0.07724}{12})^{12}-1

=0.0800339518197

=8.00339518197\% \approx 8.003\%

Since, 8.003 % > 8.000 %,

⇒ Loan Y does not meet his criteria,

For loan Z,

i = 7.698 % = 0.07698,

n = 52 ( 1 year = 52 weeks ),

Thus, the effective rate would be,

r = (1+\frac{0.07698}{52})^{52}-1

=0.0799589986135

=7.99589986135\%

\approx 7.996\%

Since, 7.996 % < 8.000 %,

⇒ Loan Z meets his criteria.

Therefore, Option 'b' is correct.

You might be interested in
Help please 4 min please ASAP
guapka [62]

Answer:

Jared has 16 books.

Explanation: Subtract 28 by 12 and you'll get 16.

8 0
3 years ago
Need help ASAP if any can help me that’ll mean a lot I’ll heart your answer :)
Dominik [7]

Answer:

13p+11.75 is no more than 480

Step-by-step explanation:

plz give me brainliest if possible

4 0
2 years ago
P divided by 5 equals -32
Lostsunrise [7]

Answer:

p = -160

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

p/5 = -32

<u>Step 2: Solve for </u><em><u>p</u></em>

  1. Multiply 5 on both sides:                     p = -160
6 0
2 years ago
Read 2 more answers
Please help with 2 and 3 for maths
Vera_Pavlovna [14]

Answer:2-4=

Step-by-step explanation:y-16-(-42)

y-16+16

y-32

y-16-(-22)

y-16+4

y-20

y-16-(02)

y-16

y-16-(42)

y-0

8 0
2 years ago
Read 2 more answers
nikita wrote the expression 72 + 26. Bettina wrote the expression 4(72+26). Which sentence is true about the value of their expr
katen-ka-za [31]
Nikita's value is 4 times less than Bettina's value. I believe this is the answer. 
8 0
3 years ago
Other questions:
  • Which of the following represents the most accurate estimation of 30-18
    12·1 answer
  • A parabola is represented by the equation y = x2 + 6x − 17. The x-intercepts of the parabola are____ and_____ . The y-intercept
    5·2 answers
  • Describe and compare protraction and retraction
    6·1 answer
  • okay so we have this problem of the week thing and this week our answer is 83 i need a algebra problem to equal to 83 can anyone
    15·1 answer
  • Write an equation for the line that passes through the points (1,4) and (2, -4).
    13·2 answers
  • What is the vertex of g(x) = |x−2|+1 ?
    7·2 answers
  • How do you work in detail the problem below?<br><br> 2x=3x+1
    5·1 answer
  • What is the range of the function graphed above? A. B. C. D.
    8·1 answer
  • Precalc please help!!!
    12·1 answer
  • Plants are unicellular organisms. True of false? PLZ QUICK IM IN THE MIDDLE OF A QUIZ
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!