Mrs. Garcia borrowed some money at the rate of 4% per annum for the first year, at the rate of 6% pe r annum for the next 2 years, and at the rate of 7.5% per annum for the period beyond 3 years. If he pays a total interest of ₱ 15 750 at the end of 5 years, how much money did he borrow?

Answers

Answer 1

Answer: ₱40,909.1

Step-by-step explanation:

Given data:

Rate for first year = 4%

Rate for next two years = 6%

Rate for the next 3 years = 7.5%

Interest paid back after 5years = ₱ 15,750

Solution:

How much did she borrow.

= let the sum borrowed be P

= P * 4 / 100

= 4P/100

= 1P/25.

For the next two years

= P* 6 * 2/100

= 12P/100

= 3P/25

For the next 3years

= P* 7.5*3/100

= 22.5P/100

= 9P/40.

1P/25 + 3P/25 + 9P/40 = 15750

77P/200 = 15750

P = 15750 * 200 / 77

P = 315,0000/77

P = ₱40,909.1

The amount borrowed is ₱40,909.1


Related Questions

PLEASE HELP ASAP WILL CHOOSE BRAINLIEST FOR CORRECT ANSWER GIVING 20 PTS

System A-
-x-2y=7
5x-6y=-3
Solution: (-3, -2)

Choose the correct option that explains what steps were followed to obtain the system of equations below.

System B:
-x-2y=7
-16y=32

A. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 3. The solution to system B will be the same as the solution to system A.
B. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -6. The solution to system B will not be the same as the solution to system A.
C. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -5. The solution to system B will not be the same as the solution to system A.
D. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A.

please helpp and take ur time

Answers

Answer: A. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A.

System A :

-x - 2y = 7 ..........(1)

5x - 6y = -3 ..........(2)

If we multiply the first equation by 5, then we will get :

5(- x - 2y) = 5(7)

⇒ - 5x - 10y = 35 ........... (3)

Now the Sum of equation (2) and equation (3) is:

⇒ Sum :  

Now if we replace the second equation in system A with this  , then we will get the system B.

Solution of system B:

First we will take the second equation as there is only one variable 'y'. So, we will solve that equation for 'y'

Now for solving 'x', we will plug y= -2 into the first equation

So, the solution of system B is (-3, -2), that means the solution of both systems are same.

Step-by-step explanation:

Answer: D:

To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A.

Step-by-step explanation:

sixty-seven AND ninety-four THOUSANDTHS in standard form.

Answers

Answer:

Yes it's standard form lol

Step-by-step explanation:

Please help I just relized that my dumb self waited 35 min for her science class to start but the class didnt start bc i missed math so i need to do thisss nowww my mother is so strictttt

Answers

it do be 1/4 tho not gonna lie

ANSWER ASAP look at pic and answer #18

Answers

Answer:

Four

Step-by-step explanation:

Answer: will have to be 4

8 is 16 times what number

Answers

Answer:

1/2

Step-by-step explanation:

If you need an explanation just comment

Answer:

2 and you are in high school learning that?

Step-by-step explanation:

A spice merchant divided 9/10 of a pound of ground cinnamon into 3 equal packages. She then sold the ground cinnamon to restaurants and bakeries. What was the weight of ground cinnamon in each package?

Answers

Answer:the answer is 0.3

Step-by-step explanation:

h(n) = n + 2 g(n) = 2n + 1 Find h(n) − g(n)​

Answers

to do your math use your fingers

How many solutions does a system of equations have when solving results in the statement 3=5​

Answers

Answer:

No solutions

Step-by-step explanation:

Answer:

they usually have the sum of an answer that they divided

Step-by-step explanation:

Which choices are solutions to the following equation?
Check all that apply.
x^2 - 3x = -5/4

Answers

Answer:

The answer to this question is C.

Which lines have a y-intercept of 5? Check all that apply.
A: y=5x-1
B: 4x-8y=40
C: x-y=5
D: x-3y=15
E: 2x-y=10
F: 6x+4y=20

Answers

Answer:

F: 6x+4y=20

Step-by-step explanation:

Only line representing the equation 6x+4y=20 has y-intercept of 5.

The line that has the y-intercept = 5 is 6x + 4y = 20

What are intercepts?

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

The standard slope intercept form:

y = mx + b

Comparing the options A,C,D and E with standard form and none of the options have b = 5.

So these options are out.

Now the options B,

Simplify, y = x/2 - 5

Compare with slope intercept form, and this equation also does not have

the y intercept as 5.

Now option F;

simplify, 6x + 4y = 20

y = -3x/2 + 5

Comparing with standard form,

And b= 5

Therefore, The line that has the y-intercept = 5 is 6x + 4y = 20

To learn more about the intercepts;

https://brainly.com/question/14180189

#SPJ5

Find the slope of the line passing through the points (-7, -3) and (6,-3

Answers

Answer:

-9/-1 is the slope

Step-by-step explanation:

-3-3/-7+6

The seniors on the student council bought a total of 36 plants to use in landscaping the front of the school. They bought some azaleas that cost $6
each and some lilles that cost $5 each. They spent a total of $196 on these plants. How many azaleas did the students buy?

Answers

Answer:

The students bought 16 azaleas plants.

Step-by-step explanation:

Given that:

Total plants bought by student council = 36

Cost of each azaleas plant = $6

Cost of each lily plant = $5

Total amount spent = $196

Let,

x be the number of azaleas

y be the number of lilies

x+y = 36       Eqn 1

6x+5y=196     Eqn 2

Multiplying Eqn 1 by 6

6(x+y=36)

6x+6y=216      Eqn 3

Subtracting Eqn 2 from Eqn 3

(6x+6y)-(6x+5y)=216-196

6x+6y-6x-5y=20

y=20

Putting y=20 in Eqn 1

x+20=36

x=36-20

x=16

Hence,

The students bought 16 azaleas plants.

A plumber charges a one time charge of $65 plus an hourly rate, h in dollars.
The plumber worked at a customer's house for 5 hours and charged a total of $215.
What was the hourly rate (h) in dollars per hour?

Answers

Answer:

y = 25x + 40; $140

Step-by-step explanation:

30 dollars an hour...................

sara ordered 2 eggs, a slice of bacon, and a glass of orange juice for breakfast. the sales tax for the order was $0.48. she paid for her breakfast with a $10 bill.
one egg = $1.69
slice of bacon = $1.49
glass of orange juice = $1.09
how much change should sara receive from the $10 bill?

Answers

Answer:

She should receive $3.56 from paying with a $10 bill

Step-by-step explanation:

The total cost of all her items including sales tax is

$6.44

You have to deduct this total cost from what she paid with.

$10.00 - $6.44 = $3.56

Therefore,

Sara should receive $3.56 from paying with a $10 bill.

Answer: $3.56

Step by step explanation:

1. Figure out how much the eggs cost. (1.69×2=3.38)

2. Add the price of the eggs, bacon, O.J., and sales tax together. (3.38+1.49+1.09+0.48=6.44)

3. Subtract the total ($6.44) by the amount you paid ($10). (10-6.44=3.56)

please I need help... Mrs. Morales wrote a test with 15 questions covering spelling and vocabulary. spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points the maximum number of points possible on the test is 100​

Answers

Answer:

5x+10y=100

Step-by-step explanation:

Ana mixed 1 cup of lemonade with 4 cups of cranberry juice to make her favorite punch. How much cranberry juice will she use for 5 cups of lemonade. PLEASE HELP ME ASAPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

20

Step-by-step explanation:

since for every 1 lemonade there is 4 cranberry you have 5 lemonade now so you need 4 cranberry for every one of the 5 lemonade, which gives you 20

The revenue from selling x tickets is r(x) = 10x. The cost for buying x tickets is c(x) = 8x + 40. The profit from selling x tickets is p(x) = r(x) – c(x).9. What is p(x)? *

Answers

Answer:

p(x)=2x-40

Step-by-step explanation:

Substitute the variables

p(x)=10x-(8x+40)

p(x)= 10x-8x-40

p(x)=2x-40

Answer:

p(X) = r(X) - c(X).9

⇔ p(X) = 10x - (8x+ 40).9

⇔ p(X) = 10x - 72x - 360

⇔ p(X) = -62x - 360

Step-by-step explanation:

Identify the two factors that were multiplied together to form the array of tiles. Then identify the product of the two factors. Use the variable x in your expressions.

Answers

Answer:

[tex]Terms: 3\ and\ x + 2[/tex]

[tex]Product = 3x + 6[/tex]

Step-by-step explanation:

See attachment for complete question.

From the attachment, there are 3 columns and 3 rows

The 3 columns represent the first factor

To get the second factor, we have to analyze the 3 rows in the attachment.

Notice that the first row is bigger than the other two rows.

This big row will be represented with variable x

Notice that the boxes in second row are smaller than the first row and the + sign is written on each of the boxes.

This is represented with + 1

Also, notice that the boxes in third row are smaller than the first row and the + sign is written on each of the boxes.

This is also represented with + 1

Hence, the expression for the rows is x + 1 + 1 = x + 2

The product is then calculated as:

[tex]Product = 3 * (x + 2)[/tex]

[tex]Product = 3 * x + 3*2[/tex]

[tex]Product = 3x + 6[/tex]

A cinema sold 1000 tickets on a Saturday evening. Adult tickets cost £9, children's tickets cost £5, and a total of £6680 was collected
If there are a Adult tickets and cChildren tickets, write down two simultaneous
equations connecting a and c.
Solve your equations to find how many tickets of each kind were sold.
A=
C=

Answers

Everybody says holy but nobody asks how is the holy cow
..... (¯`v´¯)♥
.......•.¸.•´
....¸.•´
... (
☻/
/▌♥♥
/ \ ♥♥ PEANUT WINGS Just in time for holiday cookie season, we’ve discovered that the vanilla flavoring in your baked goods and candy could come from the butt hole excretions of beavers.

Write an integer that is located on a number line between the given integers.
13. -3,8
14. -24,22
15. -5,9
16. 0,4
17. -2,2
18. -17,-15

Answers

Creo que es la 15 porque si fuera otra pues no lo sé sería 12/56 y ya luego 4/5
The answer is 15 I hope this helped :)

A manager of the credit department for an oil company would like to determine whether the mean monthly balance of credit card holders is equal to $75. An auditor selects a random sample of 100 accounts and finds that the mean owed is $83.40 with a sample standard deviation of $23.65. If you were to conduct a test to determine whether the auditor should conclude that there is evidence that the mean balance is different from $75, which test would you use? a) Z-test of a population mean b) Z-test of a population proportion c) t-test of population mean d) t-test of a population proportion

Answers

Answer:

c) t-test of population mean

Explanation:

The t-test statistic is used in hypothesis testing. Here we would use a one sample t test to test our hypothesis. The one sample t test measures the statistical difference between the hypothesized mean and the sample mean. In a one sample t test or single sample t test, a test variable is measured against a test value.

Example we compare our test variable to the hypothesized mean value $75 above.

The t test is used instead of z score when standard deviation is unknown.

Using the t test, we either accept or reject the null hypothesis given alternative hypothesis.

Plz plz plz help
I’ll give brainliest to first correct answer!

Graph y=2/3x

Answers

Answer:

Graph for 0.666667*​x

Step-by-step explanation:

that what i found

how many times does 80 go into 4320

Answers

54. You can just divide

Answer:

 54

Step-by-step explanation:

There are 54 time 80 in 4320.

( 4320 : 80 = 54 )

8y+11= 6y + 11
solve for y
please help

Answers

Answer:

y = 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

8y + 11 = 6y + 11

Step 2: Solve for y

Subtract 6y on both sides:                    2y + 11 = 11Subtract 11 on both sides:                      2y = 0Divide 2 on both sides:                          y = 0

Answer:

Step-by-step explanation:

8y+11=6y+11

we have the same number in both sides, they will cancel out

8y-6y=0

2y=0

y=0 is the only solution  

NEED ASAPPPPPPPPPPPPPPPPP HURRY

Answers

Answer:

what

Step-by-step explanation:

My dog, Lilly, weighs 3.8 pounds.
Round this to the nearest whole
number (ones place).
Lilly weighs about [?] pounds.

Answers

Answer:

4 pounds

Step-by-step explanation:

Since 8 is above 5 you would round the 3 up to a 4

(click the brain on the top right of my answer)

Answer:

4 pounds

Step-by-step explanation:

Can people help me on this please I need it!!! It’s really important

Answers

Answer:

62

Step-by-step explanation:

The total of a triangle is 180

so 78+48 is 118

180-118=62

Consider the rectangle.
4
x+1
-
Which pair of expressions represents the area of the rectangle?
O 2(x + 1) + 2 (4) and 2x +9
O 2(x + 1) +2 (4) and 2x + 10
O 4(x + 1) and 4x + 1
O 4(x + 1) and 4x + 4

Answers

Answer:

[tex] \boxed{ \underline{ \underline { \bold{ \tt{4(x + 1) \: and \: 4x + 4}}}}}[/tex]

☯[tex] \underline{ \underline{ \text{Question}}} : [/tex]

☥ Which pair of expressions represents the area of the rectangle?

☐ 2(x + 1) + 2 (4) and 2x +9

☐ 2(x + 1) +2 (4) and 2x + 10

☐ 4(x + 1) and 4x + 1

☑ 4(x + 1) and 4x + 4

☪ [tex] \underline{ \text{Given :}}[/tex]

Length of a rectangle ( L ) = 4Breadth of a rectangle ( B ) = x + 1

☪ [tex] \underline{ \text{To \: Find} : }[/tex]

Pair of expressions which represents the area of the given rectangle

☪ [tex] \underline{ \text{Solution}} : [/tex]

❀ [tex] \underline{ \boxed{ \sf{Area \: of \: a \: rectangle = length \times breadth}}}[/tex]

↦ [tex] \sf{4 \times (x + 1)}[/tex]

↦ [tex] \boxed{ \sf{4(x + 1)}}[/tex]

Also , In 4 ( x + 1 ) , if we distribute 4 through the parentheses , it would be 4*x + 4*1 = [tex] \boxed{ \sf{4x + 4}}[/tex].

Hence , the right answer is of last option { i.e  4 ( x + 1 ) and 4x + 4 } .

And we're done !

Hope I helped!!

♡ Have a wonderful day / night ツ

~ [tex] \text{TheAnimeGirl}[/tex] ♪

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Two farmers sell peanuts. The table and the graph below represent the two farmers where f(x) is the cost in dollars for x pounds of peanuts. What is the difference in the rate of change for the two functions

Answers

Answer:

number 2

Step-by-step explanation:

given f(x)=-x-2, find f (-6)

Answers

The answer is -8.
You plug -6 into the equation and you get
-6-2= -8
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