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!

Select the correct answer from each drop-down menu.
On a horizontal number line, -6 is located to the [blank] of -4. So, -6 is [blank] than -4.

First blank- left, right,
Second blank- greater, less,

CORRECT ANSWER GET'S BRAINLIEST!

Answers

Answer:

To the "LEFT", so -6 is "LESS"

Step-by-step explanation:

-6 < -4

-21+(-59) what is the answer

Answers

Answer:

-80

Step-by-step explanation:

Help plzzzzzzzzzzzzzz ​

Answers

Answer:

∠P

Step-by-step explanation:

∠P is between NP and PE

[tex]4−16÷4+4²[/tex]

Answers

Answer:

16

Step-by-step explanation:

[tex]4−16÷4+4² \\ \\ = 4 - \frac{16}{4} + 16 \\ \\ = 4 - 4 + 16 \\ \\ = 16[/tex]

Evaluate f(x) = - 3x - 4 for x = 1 .

Answers

[tex]f(x)=-3x-4[/tex]

Substitute x = 1 in the equation.

[tex]f(1)=-3(1)-4\\f(1)=-3-4\\f(1)=-7[/tex]

Therefore, the answer is f(1) = -7

Select Correct Answer From Drop Down Menu

Answers

Answer:

Solution  (-3, -5)

systems or linear equations

y = x - 2

y = 3x + 4

Step-by-step explanation:

-2,-2 ( 0,4

Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x – 9. Which could be the other equation? 2y = x – 4.5 y = y equals StartFraction 2 over 3 EndFraction x minus 3.x – 3 6y = 6x – 27 y = y equals StartFraction 3 over 2 EndFraction x minus 4.5.x – 4.5

Answers

Answer:

B is correct

Step-by-step explanation: an infinite number of solutions means a coincident line...it is the same line

3y = 2x - 9...divide by 3

y = 2/3x - 3...hmm...same line as answer choice b....they are coincident lines and have infinite solutions

Answer:

the answer is B).

Step-by-step explanation:

someone deleted my answer:(

Sumalee and Scott each improved their yards by planting daylilies and ivy. They bought their
supplies from the same store. Sumalee spent $93 on 6 daylilies and 3 pots of ivy. Scott spent
$196 on 13 daylilies and 6 pots of ivy. Find the cost of one daylily and the cost of one pot of ivy.

Answers

Answer:

The cost of one daylily is $10 and the cost of one pot of ivy is $11

Step-by-step explanation:

To solve the question we will form a system of equations

Assume that the cost of 1 daylily is x and the cost of 1 pot of ivy is y

∵ Sumalee spent $93 on 6 daylilies and 3 pots of ivy

→ Multiply x by 6, y by 3, then add the products and equate the sum by 93

6x + 3y = 93 ⇒ (1)

∵ Scott spent $196 on 13 daylilies and 6 pots of ivy

→ Multiply x by 13, y by 6, then add the products and equate the sum by 196

13x + 6y = 196 ⇒ (2)

Now we have a system of equations to solve it

→ Multiply equation (1) by -2

∵ -2(6x) + -2(3y) = -2(93)

-12x - 6y = -186 ⇒ (3)

→ Add equations (2) and (3)

(13x + -12x) + (6y + -6y) = (196 + - 186)

∴ x + 0 = 10

x = 10

→ Substitute the value of x in equation (1) to find the value of y

6(10) + 3y = 93

∴ 60 + 3y = 93

→ Subtract 60 from both sides

∵ 60 - 60 + 3y = 93 - 60

∴ 3y = 33

→ Divide both sides by 3

y = 11

The cost of one daylily is $10 and the cost of one pot of ivy is $11

In an xy-coordinate system, Line l has a slope of –3. If the points (2, 16) and (5, t) are on Line l, what is the value of t?

Answers

Answer:

25 i think

Step-by-step explanation:

Given the system of equations, what is the solution?

2x + y = -1

x - y = -5

{(-2, 3)}
{(-8, -3)}
{(2, 7)}

Answers

Answer:

Its b trust me

Step-by-step explanation:

I did the work lol

Answer:

y = 9/2 or 4.5

Step-by-step explanation: hope this helps :)

x-y= -5   So what you do here is isolate the variables

+y     +y      

x = -5+y

After you do this you input the equation as x

2x+y = -1

2(-5+y) = -1

-10 + 2y = -1

+ 10         +10

2y = -9

/2      /2

y =  9/2 or 4.5

what is 29503.488rounded two decimal places​

Answers

Answer:29503.49

Step-by-step explanation:

Answer:

29503.49

Step-by-step explanation:

since the number in the thousandths place is greater than four, you round the number in the hundredths place up to the number that would come after that. In this case, 8 rounds up to 9

How do I solve 6x—20=

Answers

Answer:

Can not be determined

Step-by-step explanation:

regularly, you would +20 to both sides, but without a full =, you cant solve. If the equation is 6x-20=0, x would equal 3 2/6.

Hope this helps!

ok so you have 6x-20 it would be in the negatives so when you do that it stays negative because one negative stays as negative so you subtract -20 first then you multiply that by 6x which would give you negative 120 (-120

can someone help me with this?

Answers

R: -4,-3
S: -3,1
T: 1,-2
U: stays the same
((:

How can you write the equation for a linear function if you know only two ordered pairs for the function?
Drag tiles to complete the explanation. Tiles may be used once, more than once, or not at all.

Answers

Answer:

Use the two ordered pairs to find the slope, m.

Then substitute one set of ordered pairs and m into y = mx + b to solve for b

Step-by-step explanation:

If we are given two ordered pairs of a function and we need to write an equation that represents the linear function, first, what we need to do is to use the two ordered pair to find the slope, m, using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex].

After getting the slope (m), find the value of the y-intercept (b), by substituting the value of one of the ordered pairs and the slope value (m) into y = mx + b.

Once the value of m and b is known, plug in the value of m and b into y = mx + b to derive the equation of the linear function.

Use the 2 ordered pairs to find the slope, m .

Then substitute m and one set of ordered pairs into y = mx + b to solve for b.

If given the 2 ordered pairs for a function, the ordered pairs can be first used to find the slope of the function.

For example

(x₁, y₁)(x₂, y₂)

m = slope = y₂ - y₁ / x₂ - x₁

The slope(m) is then substituted in the slope intercept form equation.

y = mx + b

where

m = slope

b = y-intercept

And one set of the ordered pairs is also substituted in the equation to get the value of the y-intercept(b).

read more: https://brainly.com/question/19675390?referrer=searchResults

PLEASE HELP, THANK YOU (-:

Answers

Answer:

1 mile per hour

Step-by-step explanation:

Kyle used 15 centimeters of tape to wrap 3 presents. How much tape will Kyle need in all if he has to wrap 5 presents? Assume the relationship is directly proportional.

?centimeters

Answers

Answer:

25

Step-by-step explanation:

2+2=?

A- 4
B- no it's A
C- nop look at B
D- come on really? Go to College

Answers

Answer:

E- 48-x+y=1.2353783763

it’s definitely none of the above

Find the length of arc AB. Use 3.14 for T,
Round to the nearest tenth.
20
1 ? ]cm
Please help

Answers

Answer:

12.4 cm

Step-by-step explanation:

Length of an arc AB = [tex] \frac{\theta}{360} \times 2 \pi r [/tex]

Where,

[tex] \theta = 90 [/tex]

[tex] \pi = 90 [/tex]

r = 7.9 cm

Plug in the values

Length of an arc AB = [tex] \frac{90}{360} \times 2 \times 3.14 \times 7.9 [/tex]

[tex] = \frac{90 \times 2 \times 3.14 \times 7.9}{360} [/tex]

Length of an arc AB = 12.4 cm (nearest tenth)

Answer:

Step-by-step explanation:

answer is 12.4cm !

Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 and begins spending $2 per week on supplies for her art class.

Is there a week when they have the same amount of money? How much do they have at that time?

Answers

Answer:

Let x represents the week and y represents the amount of money.

As per the given statement:

Diego has $11 and begins $5 each week toward buying a new phone.

⇒               ......[1]

It is also given that Lin $60 and begins spending $2 per week.

⇒               ....[2]

when they have the same amount.

equate [1] and [2] we get;

Add both sides 2x we get;

Subtract 11 from both sides we get;

Divide both sides by 7 we get;

x = 7

Substitute the value of x = 7 in [1] we have;

Therefore, at x= 7 week they have the same amount of money and they  have the amount at that time, $ 46

Step-by-step explanation:

(0,0) (-4,-4) (2,-4) graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin​

Answers

Answer:

The image coordinates are:

A'(0, 0)

B'(-8, -8)

C'(4, -8)

The graph of the image coordinates attached below.

The image triangle A'B'C' is illustrated in green color.

Step-by-step explanation:

Let the points of a triangle be

A(0,0) B(-4,-4) C(2,-4)

We need to determine the graph of the image of this triangle after a dilation with a scale factor of 2 centered at the origin.

As scale factor > 0, thus the image will be enlarged.

A dilation by a scale factor of 2 centered at the origin means the coordinates of the image can be obtained by multiplying the original coordinates with 2.

Next, the rule of dilation by a scale factor of 2 is given by

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

P(x, y)  → P' (2x, 2y)

A(0, 0) → A' (2(0), 2(0)) → A'(0, 0)

B(-4, -4) → B' (2(-4), 2(-4)) → B'(-8, -8)

C(2,-4) → C' (2(2), 2(-4)) → C'(4, -8)

Therefore, the image coordinates are:

A'(0, 0)B'(-8, -8)C'(4, -8)

The graph of the image coordinates attached below.

The image triangle A'B'C' is illustrated in green color.

2. Is the point (0,2) the solution to the system of equations: SHOW ALL YOUR WORK.
2 − = −2
2 + 4 = 8

Answers

Answer:

A system of linear equations usually has a single solution, but sometimes it ... Number of solutions to system of equations review. CCSS.Math: 8.EE.C.8 ... also work for the other equation, so there are infinite solutions to the system. ... (2, 0) ( 1, 2) and then draw a line that goes through all of the points. For the ... y = −3x− 4

Step-by-step explanation:

y = −3x− 4

Answer:

No variables in the equations so..?

2 - = -2 ; Not true

6 = 8 ; Not true

Evaluate 9-5+(48/2)x5x7+6

Answers

Answer:850

Step-by-step explanation:

I hope it helps

PLEASE HELP ME!!!!! NEED HELP ASAP!!!!!

Answers

I think the answer is A

Timmy the Elephant received an 87.5% on his math test. How many questions were on the test if he got 35 questions right?

Answers

Answer:

40

Step-by-step explanation:

35/40 in percentage is 87.5%

Write the equation of the line that passes through the points (0, -3) and (-4,1).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Step-by-step explanation:

I'm going to explain this in standard slope intercept form (y=mx+b) because it is easiest for this situation. I will also include converting it to point slope form. I will also show how to do straight into point slope form if you find that more helpful.

First thing is to identify difference in x and y in both points. From point 1 to point to, the x changes -4 and the y changes +4. We can rapresent this in rise over run fraction

[tex] \frac{4}{ - 4} = - 1[/tex]

So the slope is -1 because the slope is the simplified rise over run fraction.

Our next step is to find the y-intercept. This is easy because the first point is the y-intercept, so -3 is our y-intercept.

Now we know the equation.

[tex]y = - x - 3[/tex]

All we have to do now is convert it into point-slope form. So here is point slope form: y + y1 = m(x + x1). Y1 is the y-intercept and m is the slope.

[tex]y - 3 = - 1(x + x1)[/tex]

So x1 is the x intercept, so to find this you find the x value when y is 0. You can do this by using the standard form I've done because it is easiest.

[tex]0 = - x - 3 \\ x = - 3[/tex]

So when y is 0, then x is -3. Here is the complete point slope form of the line.

[tex]y - 3 = - 1(x - 3)[/tex]

-----------------------------------------------------

To put the line directly into point slope for you need to find the slope, y-intercept, and x-intercept and place the values in accordingly. If you aren't given the y-intercept and x-intercept straight away it can be difficult for some putting it directly in point slope form. That is why I recommend putting it into standard form then point-slope form.

Answer:

y=-1x-3

Step-by-step explanation:

First, you have to find the slope using the formula I attached. Using this formula, you will subtract the second y from the first y, which is 1-(-3) for this problem. That equals 4, so that will be the numerator of the slope. Next, you have to subtract the second x from the first x, which is -4-0 for this problem. That equals -4, so that will be the denominator for this slope. the fraction now is [tex]\frac{4}{-4}[/tex], which is -1. The slope is -1. The current equation looks like this: y=-1x+b. Now we can solve for b, or the y-intercept. To do this, you have to use the x and y of one of the coordinates, it doesn't matter which one, the answer will be the same. Use the first one, for example. The x is 0 and the y is -3, so the our equation to find b is -3=-1(0)+b, which is -3=0+b, which is -3=b, or b=-3. So now we know what b is. Now we have to two components we need to write the equation, the slope (-1) and the y-intercept (-3). Now we can write the equation. y=-1x+(-3), or y=-1x-3.

HELP THIS IS TIMED
2/11z-5/11z+4-1/11z-8
simplify plssss i can give reward

Answers

Answer:

-145/88z+4

Step-by-step explanation:

Answer: -4/11z - 4

Step-by-step explanation: We can combine like terms to simplify the expression 2/11z - 5/11z + 4 - 1/11z - 8. The terms 2/11z, -5/11z, and -1/11z are like terms because they all have the same variable part z. When we add them together, we get (2 - 5 - 1)/11z = -4/11z. The constants 4 and -8 are also like terms. When we add them together, we get 4 + (-8) = -4. So the simplified expression is -4/11z - 4.

30 points!!! I think. Anyways, what’s your favorite thing to do with your mom.

Answers

My mom is rly toxic and doesn’t have a relationship w me anymore but I used to like to go shopping w her at the mall and we would get lunch and have a good time.

Answer: My favorite thing to do with my mom is either go shopping with her or cooking yummy desserts, like cookies, brownies, Etc...

The downside is that my mom get's really annoyed with me so i don't really go shopping especially with all this Coronavirus stuff going on.... And also what's your favorite thing to do with your mom???

Thank you so much!!! :D Stay safe and have a great day/night!!! :D

Mia and Evette played a game in which they scored 10 points for each correct answer and lost 20 points for an incorrect answer. Mia answered 7 questions correctly and 3 questions incorrectly. What was Mia's overall score? *

Answers

Answer:

Mia's score is 10

Step-by-step explanation:

Mia and Evette played a game in which they scored 10 points for each correct answer and lost 20 points for an incorrect answer. Mia answered 7 questions correctly and 3 questions incorrectly. What was Mia's overall score? *

We are told that:

Correct points = 10 per answer

Incorrect points = 20 per answer

Mia answered 7 questions correctly and 3 questions incorrectly.

Hence:

7 (10) + 3(20)

= 70 points - 60 points

= 10 points

Mia's score is 10

examine the variety of shapes below if a shape has shading then find the area of the Shaded region ​

Answers

only the last figure (i.e figure e) is shaded

The shaded region is a triangle

Area of a triangle

= ½ × b × h

= ½ × 14 × 5

= ½ × 70

= 35yd²

HELP ASAP PLZ What value of d makes the equation (3d – 2) = }(d + 5) true?​

Answers

1 Remove parentheses.

3d-2=d+5

2 Add 22 to both sides.

3d=d+5+2

3 Simplify  d+5+2  to  d+7.

3d=d+7

4 Subtract d from both sides.

3d-d=7

5 Simplify  3d-d to  2d.

2d=7

6 Divide both sides by 2.

7/2=d

7 Flip sides.

d=7/2

(Optional decimal form)

d=3.5

So 7/2 or 3.5

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