You visit two banks to determine their interest rates. Bank A offers you 6.2% annual
interest compounded monthly, and Bank B offers you 6.3% compounded quarterly.
Determine which bank is offering the best deal.

Answers

Answer 1

Answer:

  6.3% quarterly

Step-by-step explanation:

The monthly compounded rate is equivalent to a quarterly compounded rate of ...

  (1 +0.062/12)^3 -1 = 1.558%

The quarterly compounded rate is ...

  6.3%/4 = 1.575%

The 6.3% rate compounded quarterly is the better deal.

_____

Additional comment

An annual rate r compounded n times per year for m compounding periods is equivalent to a rate of

  (1 +r/n)^m -1 . . . per m/n of a year

Then an annual rate of r compounded 12 times per year for 3 months is equivalent to a quarterly (3/12 year = 1/4 year) of ...

  (1 +r/12)^3 -1

__

An annual rate of r compounded 4 times per year for 1 quarter is equivalent to ...

  (1 +r/4)^1 -1 = r/4


Related Questions

Mrs Ang bought k apples at 50% each from a supermarket. How much
change did she receive if she paid $10 to the cashier? Express your answer
in cents.

Answers

Answer:

The apples may have costed 0.50 cents each, and she may have bought 10, which would result in her paying 10 dollars, and receiving 5 dollars in change.

Step-by-step explanation:

Multiply 10 (the amount she gave to the cashier) by 0.50%, it equals 5, so that's how much she paid, and since she gave a 10 dollar bill, she should get 5 dollars in change.

T^T

Equivalent ratios
6:3 X:12 18:x

Answers

Answer: 24:12 and 18:9

Explanation: divide the number you get (e.g.12) into the number on the same side of the other ratio (e.g. 3). So, 12 divided by 3=4, so you multiply 6x3 to get 24 (24:12). Then, 18 divided by 6= 3, so 3x3= 9 (18:9)

F r e e points for people that is low on points :)

Answers

Answer:

im not low on points but thank you <3.

Step-by-step explanation:

Answer:

:) :) :) :) :) :) :) :) :) :)

A bag of skittles contains 7 purple, 4 red, 6 yellow, and 5 green skittles. Randomly I will grab a skittle, eat it and then grab another to eat. What is the probability that I will get a purple and then red?

Answers

Answer:

The probability will be [tex]\frac{1}{2}[/tex], since there are a total of 11 purple and red Skittles and an overall total of 22 Skittles in the bag.

Convert 56 grams to 2 ounces

Answers

Answer:

its 2 ounces. if you look it up it would tell you

f (x) = 2log
(1/4x-5) +6
Find the Inverse

f-1(x) = 120.52–3 + 20
f-1(x) = 4.30.53–6 +5
f-1(x) = 4.30.52–3 + 20
-6
=
=

Answers

Answer:

6 is the answer for the question

The average annual cost (including tuition, room, board, books, and fees) to attend a public college takes nearly a third of the annual income of a typical family with college-age children (Money, April 2012). At private colleges, the average annual cost is equal to about 60% of the typical family's income. The following random samples show the annual cost of attending private and public colleges.

Private colleges: 52.8, 43.2, 45.0, 33.3, 44.0, 30.6, 45.8, 37.8, 50.5, 42.0.
Public colleges: 20.3, 22.0, 28.2, 15.6, 24.1, 28.5, 22.8, 25.8, 18.5, 25.6, 14.4, 21.8.

Required:
a. Based on your computation of the two sample means and the two sample standard deviations, find the degrees of freedom.
b. What is the point estimate of the difference between the two population means?
c. Develop a 95% confidence interval of the difference between the annual cost of attending private and pubic colleges.

Answers

If you add 5 x 7 the answer should be 35 but if you play Baldi’s basics you might get far the answer is in the riddle I say u might be plummeting to earth with this riddle but add a+b= 60 so a x b that’s up to you to find out % I give you a hint it’s it the thousands place

Find the square (8m-7)^2

Answers

Answer:

64m^2 - 112m + 49

Step-by-step explanation:

You just do the math lol.

Answer:

64m^2 + 112m + 49

Step-by-step explanation:

I got it right in Grandpoint.

Jasmine is scuba diving at an elevation of −68.4 feet when her friend signals to come higher. Jasmine makes three ascents, each an equal distance, to reach an elevation of −15.6 feet, where her friend is located. What was Jasmine's elevation after her first ascent? Enter your answer as a decimal in the box.

Answers

Answer:

-35.2

Step-by-step explanation:

-68.4-(-15.6)= (-52.8)

-52.8÷3=(-17.6)

-52.8-(-17.6)=-35.2

Answer:-35.2

Step-by-step explanation:

How do you do the work on this problem I’ve been stuck in it for a couple hours now.

Answers

56.2 m

Step-by-step explanation:

We can solve for the maximum height by calculating the derivative of y with respect to time and then equating it to zero, i.e.,

[tex]\dfrac{dy}{dt} = 0[/tex]

then solve for the time t that satisfies the equation above. The expression for the height y is

[tex]y = 60t - 16t^2[/tex]

Taking the derivative of this expression, we get

[tex]\dfrac{dy}{dt} = 60 - 32t = 0 \Rightarrow t = \dfrac{60}{32} = 1.9\:\text{s}[/tex]

This means that at t = 1.9 s, the ball would have reached its maximum height. To determine this height, use this value for t in the the equation for y to get

[tex]y = 60(1.9\:\text{s}) - 16(1.9\:\text{s})^2 = 56.2\:\text{m}[/tex]

Solve the system of equations.
\begin{aligned} & -4x+3y = -2 \\\\ & y=x-1 \end{aligned}


−4x+3y=−2
y=x−1

Answers

Answer:

x = -1 ; y=0

Step-by-step explanation:

We plug in the y, from the second equation, in the first one. By doing so we obtain:

-4x +3(x-1) = -2

-4x + 3x - 3 =-2

-x = 1

x= -1

Now we take this value and plug it in the second equation:

y = 1-1 = 0

Solution:

(-1,0)

-4x+3(x-1)=-2
-4x+3x-3=-2
-4x+3x=-2+3
-x=1
x=-1

y=-1-1
y=-2

(x,y)
(-1, -2)

If x = 9, what is the value of 6(x - 2)?

Answers

Answer: 42

6(9-2)

= 6 * 7

= 42

Answer:

6(9-2)

=6×7

=42 ans

Step-by-step explanation:

I think it help you I also you understand it

the product of seven non-zero factors. of which only three are positive. is

a) positive
B) negative
c) null​

Answers

The answer is A

Step-by-step explanation: This is one of those sneaky questions where you think there is no definite answer, but don't despair. There is an answer. You have 7 numbers 3 of them are positive which means greater than 0. Let's pick them 345 = 60 That part's easy. Those 3 numbers give a plus result. Now try the other 4 numbers -3 -2 - 1-4 Do you see what's going to happen. You have -3* - 2 = 6 then you get - 1*-4 = 4 All of a sudden you get a positive result 6 * 4 = 24 60 * 24 = 1440 So the answer is any 3 plus numbers multiplied by 4 minus numbers gives a plus result.

Of 7 non-zero factors, 3 are positive, so the other 4 are negative. Multiplying two negatives gives a positive number. So on its own, the product of all the negatives is positive, and multiplying by the other 3 positive numbers makes the overall product positive.

The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8.

Why are the events not mutually exclusive?
A, The sum of P(A) and P(B) is less than P(A or B).
B. The product of P(A) and P(B) is less than P(A or B).
C. The product of P(A) and P(B) is not equal to P(A or B).
D. The sum of P(A) and P(B) is not equal to P(A or B).

Answers

The events are not mutually exclusive because D. The sum of P(A) and P(B) is not equal to P(A or B).

Given that

probability for event A, P(A) = 0.3. probability for event B, P(B) = 0.6.the probability of events A or B, P(A or B) = 0.8.

For mutually exclusive events, P(A) + P(B) = P(A or B).

So, P(A) + P(B) = 0.3 + 0.6 = 0.9

P(A or B) = 0.8

Since P(A) + P(B) = 0.9 ≠ P(A or B) = 0.8

The events are not mutually exclusive.

So, the events are not mutually exclusive because D. The sum of P(A) and P(B) is not equal to P(A or B).

Learn more about mutually exclusive events here:

https://brainly.com/question/14660720

Answer:

C

Step-by-step explanation:

Find the allowable height for the hypotenuse if the hypotenuse catheters are 4 cm and 9 cm

Answers

Answer:

L = 9.85 cm

Step-by-step explanation:

I guess you meant length for the hypotenuse. We just apply the pythagorean theorem:

L = [tex]\sqrt{(4 cm)^2 + (9 cm)^2} = \sqrt{16 cm^2 + 81 cm^2} = \sqrt{97 cm^2} = (circa) 9.85 cm[/tex]

Answer:

solutions given;

base:9 cm

perpendicular: 4 cm

hypotenuse:?

By using pythagorus law

hypotenuse^2: perpendicular^2+base^2

hypotenuse:[tex]\sqrt {4^2+9^2}[/tex]

hypotenuse:9.84cm

You are playing a board game and your playing piece begins the game at START. You roll a single number cube numbered 1 to 6 to find out how many spaces you can move. What are the possible outcomes of your first roll? 3 green spaces, 2 star spaces, 1 question mark space2 green spaces, 2 star spaces, 2 question mark spaces2 green spaces, 2 star spaces, 3 question mark spaces6 green spaces​

Answers

Answer:

The answer is B.) 2 green spaces, 2 star spaces, 2 question mark spaces

Step-by-step explanation:

Just a "calculation," or rather, I did this question before.

Hope this helps!

(Can you mark me brainliest?)

Have a great day/night/afternoon!

- ❤ 7272033Alt ❤

I want a way to solve this question​

Answers

Answer:

d

Step-by-step explanation:

Using the Cosine rule to find ∠ A

cosA = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex]

         = [tex]\frac{5.1^2+5.7^2-7.3^2}{2(5.1)(5.7)}[/tex]

         = [tex]\frac{26.01+32.49-53.29}{58.14}[/tex]

         = [tex]\frac{5.21}{58.14}[/tex] , then

∠ A = [tex]cos^{-1}[/tex] ( [tex]\frac{5.21}{58.14}[/tex] ) ≈ 84.9° ( to 1 dec. place )

Find the value of n:
(3√7)^5=7^n

Answers

The value of n in the equation (3√7)^5 = 7^n is 5.32288

How to find the value of n in the given equation

In the given equation (3√7)^5=7^n, n is solved as follows

(3√7)^5 = 7^n

= (3√7)^5 = 7^n

7.937253933^5 = 7^n

31502.96087 = 7^n

take ㏑ of both sides

㏑ 31502.96087 = n ㏑ 7

divide through by ㏑ 7

n = ㏑ 31502.96087 / ㏑ 7

n = 5.32287517

the value of n is 5.32288

Learn more about logarithm at:

https://brainly.com/question/25710806

#SPJ1

the IQR of the box plot is...

Answers

Answer:

IQR = 3

Step-by-step explanation:

Subtract your Q1 and Q3.

Q1 = 3

Q3 = 6

Macy's is having an unbelievable sale this holiday season! All shirts are 205 off and all jeans are 25% off. How much would jeans cost after the sale if they had a price tag of $60?

Answers

Step-by-step explanation:

100% - 25% off = 75%

Here, 75% of the initial price X, is the sale price of jeans during the season which is $60.

75/100 × X = $60

75X/100 =$60

( cross multiply)

75X=100×60

75X= 6000

X=6000÷75

X= $80

will mark brainliest Select the correct answer.
Which relation is a function?
ОА
ху
14 -2
5 -3
6 -2
7-3
ОВ.
ху
310
220
3 30
440
ОС
Х У
-52
-53
-104
-105
OD.
ху
1015
2025
8 30
2035

Answers

mhm so basically 3-2 = 1 which works

How many types of windows does Python use? Correct answer will get brainliest.



a.
four


b.
five


c.
one


d.
two

Answers

Answer:

A. 4

Step-by-step explanation:

i guess it A. 4 i dunno

Four types

Explanation:-The python supported windows starts form windows 7 (32bit)

All types of python windows are

Windows 7Windows 8Windows 10Windows 11

Please help me with this

Answers

Answer:

The measure of <Y = 85 degrees

Step-by-step explanation:

you can solve this problem algebraically if you know that the sum of the interior angles of a triangle is 180 degrees.

if you add all of these angles and set them equal to 180, you can find what "a" is.

a+2a+a+10=180 so 4a+10=180 so a is 42.5 (which is equal to angle x)

then looking at all of the options, it can be seen that the first two options are incorrect because angle x is equal to 42.5 degrees.

you know that angle y is equal to 2a, so multiplying "a" by two, you can find that angle y is 85 degrees.

A permanent magnet d.c. motor has an armature resistance of 0.5 Ω and when a voltage of 120 V is applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power loss in the armature, (c) the torque generated at that speed

Answers

Answer:

applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power loss in the armature, (c) the torque generated at that speed

voltage of 120 V is applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power

Match the description with the ratio. 1. There are four red bows out of ten bows. 6:10 2. There are three silver bows for every four red bows in a bag. 3:10 3. There are six blue bows and ten silver bows. 3:4 4. There are three black bows out of a bag of ten bows. 4:10 pls help daddy

Answers

Answer:

There are six blue bows and ten silver bows. = 6:10

There are four red bows out of ten bows. = 4:10

There are three black bows out of a bag of ten bows. = 3:10

There are three silver bows for every four red bows in a bag. 3:4

if 7 men and 5 womean have applied for job and 3 applicants are randomly selected from the probability that 2 are men​

Answers

The probability is around 60%-75%. Since you didn’t list answer choices I gave my best guess.

The  probability that 2 men are selected is 49/144

Probability is the likelihood or chance that an event will occur.

If 7 men and 5 women have applied for job, the total number of people that applied will be 12 people

Pr(2 men are selected) = 7/12 * 7/12Pr(2 men are selected) = 49/144

Hence the  probability that 2 men are selected is 49/144

​Learn more on probabaility here:https://brainly.com/question/24756209

A recipe calls for 2 tsp of oatmeal to make 7 protein bars.
How much oatmeal is needed to bake 27 protein bars?

A) 3 1/3 tsp
B) 9 tsp
C) 21 tsp
D) 81 tsp

Answers

Answer:

3 1/3 is the answer im pretty sure

Is (9, –6) a solution to this system of inequalities?

17x + 12y > 19
10x + 5y > –13

Answers

Answer:

Yes

Step-by-step explanation:

( 9 , -6 )

17(9) + 12(-6) > 19

153 + (-72) > 19

81 > 19

10(9) + 5(-6) > -13

90 + (-30) > -13

60 > -13

add r to s, double the result, then multiply what you have by t

Answers

Answer:

(rs2) x t

Step-by-step explanation:

r+s=rs

rsx2=rs2

(rs2)xt

Answer:

2t(s+r)

Step-by-step explanation:

Add r to s

s+r

Double the result

2(s+r)

Multiply what you have by t

2t(s+r)

Which of the following is a solution of x2+5x=-2
A.5+ √33
———-
2
B. 5+ √17
———-
2

C.-5+ √33
———-
2
D. 5+ √17
———-
2

Answers

x^2 + 5x = -2

x^2 + 5x + 2 = 0

We need to use the quadratic formula.

In the formula, a = 1, b = 5 and c = 2.

See picture for quadratic formula. Plug in the value for a, b, and c into the formula and do the math.

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