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

Answers

Answer 1

Answer:

C) Loan F's effective rate will be 0.302 percentage points lower than Loan G's

Step-by-step explanation:

Formula for effective rate is;

r_eff = [1 + (r/n)]^(n) - 1

Where;

r is interest rate

n is the number of compounding periods per year

Loan F has a nominal interest rate of 5.66%, compounded monthly

Thus: r_eff = [1 + (0.0566/12)]^(12) - 1 = 0.0581

Loan G has a rate of 6.02%, compounded semiannually.

Thus;

r_eff = [1 + (0.0602/2)]^(2) - 1 = 0.0611

Differece = 0.0611 - 0.0581 = 0.003

Converting to percentage gives : 0.003 × 100 = 0.3%

Thus,correct answer is option C

Answer 2

Answer:

C. Loan F’s effective rate will be 0.302 percentage points lower than Loan G’s.

Step-by-step explanation:


Related Questions

Find the real numbers x and y that make the equation true. (2 points)
-3 + yi = x + 6i

Answers

Answer:

x = - 3, y = 6

Step-by-step explanation:

For the 2 sides to be equal then the coefficients of the imaginary terms and the real terms must be equal.

Given

- 3 + yi = x + 6i , then

x = - 3 and y = 6

make m the subject of g-3m=am+5​

Answers

Answer:

m = (g - 5) / (a + 3)

Step-by-step explanation:

g-3m=am+5​

Get all the m's on one side.

g - 5 = am + 3m

Combine the m's into one term, using brackets

g - 5 = (a + 3)m

Get m on it's own by dividing by a + 3

(g - 5) / (a + 3) = m

Answer:

[tex]\displaystyle m=\frac{g-5}{3+a}[/tex]

Step-by-step explanation:

Equation Solving

To solve an equation for a specific variable, we perform a sequence of steps to have that variable isolated or make it the subject of the equation.

We are given the expression:

[tex]g - 3m=am+5[/tex]

And it's required to make m the subject of the equation. This means we have to isolate m at the left side of the equation.

First, multiply both sides by -1;

[tex]-g + 3m=-am-5[/tex]

Add am:

[tex]-g + 3m+am=-5[/tex]

Add g:

[tex]3m+am=-5+g[/tex]

The variable m is found in both term, thus we factor it out:

[tex]m(3+a)=g-5[/tex]

Dividing by 3+a:

[tex]\mathbm{\displaystyle m=\frac{g-5}{3+a}}[/tex]

Angela transfers 15% of each paycheck she received into her savings account. If she transferred $54 into her savings account last week, how much did she earn on that paycheck? Show your work using a model, proportion or equation

Answers

Answer:

$360

Step-by-step explanation:

Let the amount that she earned on the paycheck be represented by x

Hence,

15% of x = $54

Therefore:

15/100 × x = $54

15x/100 = $54

Cross Multiply

15x = $54 × 100

15x = $5400

x = $5400/15

x = $360

Therefore, the amount that she earned on that paycheck = $360

I need to k ow the answer pls show work

Answers

the answer is d because |5| + |-5|= 10

PLEASE ANSWER ASASP FOR BRAINLEST!!!!!
Simplify:
1/4m +3/4m -3/8 (m + 1)

Answers

Answer:

5/8m - 3/8

Step-by-step explanation:

1/4m + 3/4m - 3/8(m+1)

= 2/8m + 6/8m - 3/8(m+1)

= 2/8m + 6/8m - 3/8m - 3/8

= 5/8m - 3/8

In a class there are 12 girls and 18 boys. What is the ratio of girls to students in simplest form?

Answers

Answer:

Step-by-step explanation:

12:18

can both be divided by 6

answer is 2:3

Answer:

6:9

Step-by-step explanation:

that's the simplest form

What is the slope for y=-7x+12

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7. the number with x is always the slope in this sort of equation. The 12 in this equation is the y-intercept

Step-by-step explanation:

Find the measure of each exterior angle of the regular polygon.

Answers

Answer:

30°

Step-by-step explanation:

Sum of exterior angles of the regular polygon is 360°

The pictured is 12-gon

Each exterior angle measures:

360°/12 = 30°

Answer:

30 degrees

Step-by-step explanation:

(Sum=360)

360/12=30

(We got 12 because there are 12 sides in the polygon!)

Say 5 of your favorite things and whoever has the most of my favorite stuff gets brainlest

Answers

Answer:

food, video games, sports, naps, music  

Step-by-step explanation:

ASAP The grocery store sells fish for $8.50 a pound and hamburger for $3.00 a pound. Write an equation in
standard form for the weights of fish fand hamburger h that a customer could buy with $24.

Answers

Answer:

8.50f + 3.00h = 24

Step-by-step explanation:

Is (x+1)/x^2 greater or less or equal to 1/x

Answers

Answer:

(1) x^2 is greater than 1.

(2) x is greater than -1.

(1) x^2 is greater than 1 --> x2>1x2>1 --> x<−1x<−1 or x>1x>1. Sufficient.

(2) x is greater than -1 --> x>−1x>−1. Not sufficient.

When will Peter's baseball hit the ground? Use mathematical evidence to explain your answer.

Answers

Question:

The height of Peter’s baseball is given by the graph below (See attachment)

When will Peter’s baseball reach the highest height? What is the height?  When will Peter’s baseball hit the ground? Use mathematical evidence to explain your answer.

Answer:

Peter's baseball reached the maximum height at 1.5 secondsPeter's baseball hit the ground at 4 seconds

Step-by-step explanation:

The (a) & (b) will be answered by making reference to the attachment.

Solving (a): Time to reach maximum height

The height is plotted at the vertical axis while the time taken is at the horizontal axis.

From the attachment; the following details can be observed

The maximum height is at 90ftWhen the maximum height is traced to the horizontal axis, the corresponding time is 1.5s

Using function notations, this can be represented as:

[tex]f(1.5) = 90[/tex]

And the interpretation is that:

Peter's baseball reached the maximum height at 1.5 seconds

Solving (b): Time to hit the ground

The interpretation of this question is to solve for the x intercept of the graph.

From the attachment; the following details can be observed

The ground is at 0 feetThe corresponding time at 0 feet is 4s

Using function notations, this can be represented as:

[tex]f(4) = 0[/tex]

And the interpretation is that:

Peter's baseball hit the ground at 4 seconds

Expand and simplify
√5 (√10+ √2)

Answers

60 for this is the answer

Two friends shop for fresh fruit Elena buy a watermelon for 8.55 and 3 pounds of cherries. Taniy buys a pineapple for 2.45 and 2 pounds cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to how much more Elena spent.

Answers

Answer:

$6.10 + p

Step-by-step explanation:

Given that:

p = price in $ per pound of cherries

ELENA:

Amount spent = 8.55 + 3p

TANIY:

Amount spent = 2.45 + 2p

How much more Elena spent :

Amount spent by Elena - Amount spent by Taniy

(8.55 + 3p) - (2.45 + 2p)

8.55 + 3p - 2.45 - 2p

8.55 - 2.45 + 3p - 2p

6.10 + p

$6.10 + p

Write an inequality to fit the given inequality the line pass through (0,1) and (1,3)​

Answers

Answer: Y< 2/1x +1

Step-by-step explanation: (Slash mark means a fraction)

You are at a trade show where you are selling baseball cards for $4 a car and buyng baseball cards for $6 a card. If you started the day with $200, how much money do you have at the end of the day if you sold c baseball cards and bought b baseball cards?​

Answers

Answer:

He can sell 80 baseball card and buy 120 cards

Step-by-step explanation:

if thats good

TWO MULTIPLE CHOICE QUESTIONS PLS HELP

Answers

Answer:

sorry i only know the number 2.

so the answer is the first one...

Tax is paid on meals in a restaurant.
The price of a meal is $65.35 this includes the tax of $11.45.
What is the percentage tax?

Answers

Answer:

17.52%

Step-by-step explanation:

65.35/11.45 = 0.1752

.1752 * 100

= 17.52

BRAINLIEST LOL!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A: X-55>25
B: X-25>55
C:X+55>25
D:X+25>55

Answers

Answer:

B

Step-by-step explanation:

Answer:

First one would be B

Second one would be x ≥ 80

LOOK AT THE PICTURE PLEASE HELP

WILL MARK BRAINLIEST

Answers

Answer:

4

Step-by-step explanation:

You can convert 2/3 to 4/6 so that the denominators for the two fractions you are dividing are the same.

4/6 divided by 1/6 is 4 because 4/1 = 4

Jim is saving money to buy a game. So far he saved $36, which is three-fourths of the total cost of the game. How much does the game cost?

Answers

Answer:

$48

Step-by-step explanation:

Because he has 3/4 you would divide 36 by 3 whick is 12 then multiply by 4 to get the total of $48

Answer:

$48 :)

Step-by-step explanation:

1
1
Consider the polynomial function:
p(x) = 3x3 + 10x2 + ax - 6
where a is an unknown real number.
If
(x + 3)
is a factor of this polynomial what is the value of a? Show all the steps below.

Answers

Step-by-step explanation:

By Factor Theorem, p(-3) = 0.

Therefore 3(-3)³ + 10(-3)² + (-3)a - 6 = 0 and a = 1.

What is the volume, in cubic cm, of a rectangular prism with a height of 10cm, a width of 4cm, and a length of 6cm?​

Answers

The answer is 240cm^3! To find volume you use the solution: height • length • width! Input the numbers and you get 10cm•4cm•6cm which equals 240cm. When finding volume you do cubed! So 240cm^3!

ILL GIVE BRAINLIEST ON THIS QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

15.25 or 15 if you need it to be rounded.

Step-by-step explanation:

-11 on both sides to get 5x=1x+61. Then, -1x on both sides to get 4x=61. Then to find x you do 61 divided by 4 which is 15.25.

2/3 + 1/3 x 3/4 in simplest form

Answers

Answer:

11/12

Decimal form: 0.916 (the 6 is continuous)

Step-by-step explanation:

Do you guys know this one if so comment the down the answers that all apply in the can't tysm!

Answers

Answer:

7 to the fourth power, 7*7*7*7 , and 7^4

Step-by-step explanation:

Answer:

7 x 7 x 7 x 7

7 to the fourth power

7^4

Step-by-step explanation:

Please i need help jk im lazy ZZZzzzzzz

Answers

Answer:

the first one is $6.66

Step-by-step explanation:

the 3 items added up is 74 cents, then 74 is multiplyed by 9.

what is the value of p

Answers

Answer:

p = 61 degrees

Step-by-step explanation:

The sum of all angles that make up a striaght line is 180 degrees. To find p you just subtract the other angles from 180: 180 - 87 - 32 = 61.


What is the image point of (2, 4) after a translation left 4 units and down 1 unit?

Answers

Answer:

the answer is (-2,3)

Step-by-step explanation:

when moving to the left you going across the x axis 4 times and going down once om the u axis

In 1 hour the employee dropped 635 chocolates. If this represents 25% of the days chocolate molds, how many chocolates were planned to be
produced

Answers

Answer:

2540

Step-by-step explanation:

25% is a quarter of 100% so if 635 is 25% you multiple 635 x 4 to get your final answer concluding in 2540. if i'm wrong let someone else correct me :b

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