1. In order to save for her high school graduation, Kathrina decided to save ₱200 at the end of every other month, starting the end of the second month. If the bank pays 0.250% compounded monthly, how much will be her money at the end of 5 years? (use j = 0.000417, n = 30)

2. Emma availed of a cash loan that gave her an option to pay ₱10,000 monthly for 1 year. The first payment is due after 6 months. How much is the present value of the loan if the interest rate is 12% converted monthly?

Answers

Answer 1

Answer:

1) 202.52

2) P107089

Step-by-step explanation:

Compound interest is calculated as

A = P (1 + r/n)^(nt), where

A = compounded interest

P = present value

r = interest

n = number of times interest applied

t = time taken

A = 200 (1 + 0.25%/30)^(30 * 5)

A = 200 (1 + 8.3*10^-5)^150

A = 200 * 1.0126

A = 202.52

Present Value Annuity Due is usually given by the formula

P = c*((1-(1+ i)^(-n))/i)*(1 + i ), where

P is the present value

C is the Cash flow per period

i is the interest rate and

n is the number of payments

P = 10000*((1-(1+ 12/1200)^(-1*12))/(12/1200))*(1+12/1200)

P = 113676

Also, it's worthy of note that

Effective Annual Rate = [(1 +stated rate/no. of compounding periods) ^no of compounding periods - 1]* 100

EAR = ((1+12/(12*100))^12-1)*100

EAR = 12.68%

And lastly, the

Future value = present value*(1+ rate)^time

113676 = Present value*(1+0.1268)^0.5

Present Value = 113676 / 1.1268^0.5

Present Value = 113676 / 1.0615

Present value = 107089


Related Questions

A 95% confidence interval for the proportion of American adults who believe that regular exercise is important was computed to be [0.726, 0.780]. Given this confidence interval, which of the following values are reasonable estimates for the proportion of all American adults who believe that regular exercise is important (i.e., the population proportion).

a. 0.730
b. 0.765
c. 0.770
d. 0.795

Answers

Using confidence interval concepts, it is found that the reasonable estimate for the proportion of all American adults who believe that regular exercise is important is of 0.753.

What is a confidence interval?

It is the range in which a parameter is expected to be given a confidence level, has format (a,b), and the point estimate of the parameter is the mean between a and b.

In this problem, the interval is [0.726, 0.780], hence, the estimate is of:

(0.726 + 0.78)/2 = 0.753

You can learn more about confidence interval concepts at https://brainly.com/question/25779324

pls help due in one min
Daniel hiked
4
5
8
miles on Saturday and
4
1
2
miles on Sunday. How many miles did he hike in all?

A.

8
3
5
miles

B.
8
3
4
miles

C.
9
1
8
miles

D.
9
1
2
miles

Answers

Answer:

the answer isnt on there it would be 870 miles

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

Which expression is equivalent to 7^k^2 where k is an even number?

Answers

Answer:

49k

Step-by-step explanation:

ten is equal to two times a number plus 3.6.

Answers

Answer:

3.2

Step-by-step explanation:

Make an equation!

10=2x+3.6

isolate the variable:

6.4=2x

divide by 2

3.2=x

i hope this helps!

Answer:

3.2

Step-by-step explanation:

10= 2x + 3.6

subtract 3.6 from both sides

2x = 6.4

divide both sides by 2

x = 3.2

Question... factor 28+4x

Answers

Answer:

4(7 + x)

Step-by-step explanation:

28 + 4x

4 ⋅ 7 + 4x

4(7 + x)

good luck hope this helps :)

Find the greatest common factor for the terms involved in the polynomial.

In this case, the greatest common factor between 28 and 4 is 4.

So a 4 factors out of this polynomial.

That leaves us with each term divided by 4

inside a set of parentheses.

So we have 4(7 + x).

Now you can check your answer by distributing the 4 through

the parentheses and you will end up with your original polynomial.

The Memorial baseball team purchased three times as many gloves as bats this year. If each glove cost $50 and each bat cost $30 and a TOTAL of $720 was spent on gloves and bats, Find the cost of one glove and one bat.

Answers

Answer:

$80

Step-by-step explanation:

Subtracting fractions

Answers

Answer:

Step-by-step explanation:

Make sure the denominators are the same.

Subtract the numerators. Put the answer over the same denominator.

Simplify the fraction (if needed).

find the variance of 4 9 12 15 6 5 ​

Answers

Answer:

18.7

Step-by-step explanation:

fhfhdhsuxudjdejdhdjdjx

Question 15
Tessa made 14 out of 22 free throw attempts in the first half of practice and 22 out of 28 attempts in the second half of practice. What is her free throw average for the whole practice, written as a decimal? PLEASE HELP, I NEED IT QUICK!! 30 POINTS FOR IT

Answers

Answer:

0.71

Step-by-step explanation:

1st attempt = [tex]\frac{14}{22} = 63%[/tex]%

2nd attempt = [tex]\frac{22}{28} = 79%[/tex]%

To get the average of something, find the sum of the numbers and then divided the sum by the total number of values there are.

⇒ 63 + 79 = 142

⇒ 142 / 2 = 71%  

⇒ 71% = .71

Find the value of csc Θ if cos Θ = - 3/5 180° ≤ Θ < 270°

csc =

Answers

Answer:

csc Θ = - 5/4

Step-by-step explanation:

Consider a coordinate plane. As the range is from 180 to 270, we find that the triangle to be created should be in the 3rd quadrant.

cos Θ = - 3/5

5 ---> hypotenuse

- 3 --> adjacent side

Θ = angle is between the respective sides

We have to find the length of the remaining side, which would be the following:

- √5^2 - (-3)^2 = - √25 - 9

                        = - √16

                        = - 4

Remember csc Θ = Hypotenuse/Opposite =  5/-4 = - 5/4

If 8 x/2 = 2 3/8 x 4 ¾ find x

Answers

Answer:

x = 361/32

Step-by-step explanation:

I'm assuming that "8 x/2" is a mixed number.

Measure these angles.
a)
b)​

Answers

Answer:

Step-by-step explanation:

Angle A = 55 degrees.                                                                                                   Angle B = 61 degrees.

The measure for part a is 55 degree.

The measure for part b is 61 degree.

What is Acute Angle?

An acute angle is one that is smaller than the right angle. In other terms, an acute angle is formed by an angle less than 90 degrees. Polygons with at least one sharp angle include triangles, parallelograms, trapezoids, and so on.

An acute angle is one that is smaller than 90 degrees in length. This is a smaller angle than the right angle (which is equal to 90 degrees).

Given:

from the Figure we can see that the both angles are less than 90 degree i.e., Right angle.

Also, we know that Angles which are less than 90 degree is acute angle.

So, the both angles are less than 90.

The measure for part a is 55 degree.

and, the measure for part a is 61 degree.

Learn more about Acute angle here:

https://brainly.com/question/27749090

#SPJ2

Trina is cooking her favorite dish. She started with 51/2fluid ounces of vegetable oil. While she cooks, she uses a teaspoon
of vegetable oil, which is 1/6 of a fluid Ounce, x times. After she made the dish, Trina had at least 3 1/3 fluid Ounces of
vegetable oil left. Which statement best describes the number of times she used a teaspoon of vegetable oil?

Answers

Answer:

trina used a teaspoon of vegetable oil at most 13 times

Step-by-step explanation:

hope this helps :D

If there are 125 boxes of prescription bottle labels at the beginning of inventory cycle, and 25 3/4 remain ,how many boxes of labels remain?

Answers

Answer:

Rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.

Step-by-step explanation:

Given that there are 125 boxes of prescription bottle labels at the beginning of the inventory cycle, and 25 3/4 remain at the end of it, to determine how many boxes of labels remain the following calculation must be performed:

3/4 = 0.75 + 25 = 25.75

125 x 25.75 / 100 = X

3218.75 / 100 = X

32.1875 = X

Thus, rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.

Which of the following is equal to the expression below?
(5-6)2
A. -54
1
В.
D. -512

Answers

The answer is 1/5^12.

Multiply the -6 by 2 to get 5^-12. Then, to make the exponent positive, move it to the denominator to get your answer, 1 over 5^12.

3(x + y) (2x - 3y) + (x + y)×2 factorize​

Answers

Answer:

(x + y) (6 x - 9 y + 2)

6 x^2 - 3 x y + 2 x - 9 y^2 + 2 y

1\/24 (12 x - 3 y + 2)^2 + 1\/24 (-225 y^2 + 60 y - 4)

Step-by-step explanation:

its one of these 3 answers

Find the product. 7/10 X 3/6

Answers

7 . 3
--- × ------
10. . 6


= 21
--------
60

= 7/20

Which inequality describes the graph?

Answers

Answer:

I think it is B. -3x < - 30, but I might be wrong.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

since you see that the line goes from 10 and does not include it it would be x<10

or  because we have to flip sign when multiplying negative -3x>-30

so A

WHICH NUMBER IS BIGGER? -10 OR -1 EXPLAIN *

Answers

Answer:

-1, because the number is a negative think like your in debt. which would you like to be in one dollar in debt or ten dollars in b\debt

Step-by-step explanation:

Which of the following represents a function

Answers

Answer:

The last one

Step-by-step explanation:

Can you guys help me and answer this math question below

Answers

Answer:

point D

Step-by-step explanation:

4 would be the x axis so look horizontal, 5 is on y axis (y to the sky) so look vertically for 5

Answer:  Point D

===============================================================

Explanation:

We start at the lower left corner, which is the location (0,0)

Then we move to the right four spaces to arrive at (4,0) which is where point L is at right now.

Lastly, we move 5 units up to get to (4,5) which is where point D is located.

Each (x,y) point can be thought of as an address so we can quickly communicate a point's location to someone, even if they don't have the visual in front of them. You can think of it like latitude and longitude. The game of battleship uses a similar concept, but it uses letters as the first coordinate.

(giving brainiest)

tell how you solved the question

Answers

Answer:

b

Step-by-step explanation:

volume = L x W x H

A. 4 x 7 x 8 = 224

B. 8 x 5 x 6 = 240

then you compare the number and see which one is greater

To find volume of a box you use the equation V= L*W*H

Box A-8*7*4= 224 in^3

Box B-6*5*8=240 in^3

Box b has a larger volume

Find the new amount given the original amount and the percent of change.
350 pages; 20% decrease

Answers

Answer:

272

Step-by-step explanation:

Which is the value of the rational expression 6-x/x+5 when x=2

Answers

Answer:

4/7

Step-by-step explanation:

6-x/x+5 let us take x=2

6-2/2+5=4/7

hi can you please help me with my work​

Answers

Answer: 8 3/4 pls mark brainliest

Acellus
Find the total surface area of this cone.
Leave your answer in terms of 7.
25m
-- 8m
SA = [ ? ]m2
Enter

Answers

Answer:

the answer is 264

Step-by-step explanation:

I need to know the area of this triangle

Answers

Answer:

the area is 4 square

Step-by-step explanation:

beacuse of the  shape

evaluate -L{te-1 sin at}

Answers

Answer:

???????????????

hmmmmm

......,...


PLZ HELY ILL MARK BRANILEST

Answers

Answer:

518

Step-by-step explanation:

14 x 74 = 1036      1036 / 2  = 518

( really need brainliest , hope it helps )

( first )

A bicycle wheel makes five rotations. The bicycle travels 43.18 ft. Find the diameter of the wheel in inches. Use 3.14 for π.

Answers

Answer:

Step-by-step explanation:

x=5c, c=3.14d

x=5(3.14)d

d=x/15.7, x=43.18ft

d=43.18/15.7

d=2.75ft

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