$14,038 is invested, part at 14% and the rest at 12%. If the interest earned from the amount invested at 14% exceeds the interest earned from the amount invested at 12% by $984.34, how much is invested at each rate? (Round to two decimal places if necessary.)

Answers

Answer 1

Answer:

492.99

Step-by-step explanation: x = amount invested at 12%

y = amount invested at 9%

---

x + y = 20287

0.12x = 0.09y + 492.99

---

put the system of linear equations into standard form

---

x + y = 20287

0.12x - 0.09y = 492.99

Answer 2

The amount invested at 14% is $4144 and the amount invested at 12% is $9894.

What is simple interest?

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

We are given that;

Investment at 14%= $14,038

Investment at 12%= $984.34

Now,

Let x be the amount invested at 14% and y be the amount invested at 12%. Then we have:

x + y = 14038 (total amount invested)

0.14x - 0.12y = 984.34 (difference in interest)

We can solve this system of equations by substitution or elimination. For example, by elimination, we can multiply the first equation by 0.12 and subtract it from the second equation to get:

0.02x = 82.88

x = 4144

Then we can plug x into the first equation and get:

y = 14038 - 4144

y = 9894

Therefore, the simple interest will be $4144 and $9894.

Learn more about simple interest here;

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Related Questions

Don’t understand this one, hoping for help

Answers

The number must be be 67 and 113. It must be a multiple of 3, 6, AND 9. For instance, 18 is a multiple of 3, 6, and 9. 3*6 is 18, 6*3 is 18, and 9*2 is 18.

The answer is: 72, 90, 108

These are all multiples of 3, 6, and 9. 3*24, 12*6, and 9*8 is 72. 3*30, 6*15, and 9*10 is 90. 6*36, 6*18, and 9*12 is 108.

Plz help me give me answer

Answers

Answer:

C

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between -3 to 0 is 3, because |-3| = 3.One thing you should remember is that distance can never be negative.

Answer:

C. 3, because |-3| = 3

Hope you could get an idea from here.

Doubt clarification - use comment section.

angle A and angle B are complementary angles. If m angle A = (4x – 28)° And angle B = (4x - 8)°, then find the measure of A.​

Answers

Complementary angles have a submission of 90 degrees thus :

[tex]angle \: \: A + angle \: \: B = 90°[/tex]

[tex](4x - 28)° + (4x - 8)° = 90°[/tex]

[tex]4x + 4x - 28 - 8 = 90[/tex]

Collect like terms

[tex]8x - 36 = 90[/tex]

Add both sides 36

[tex]8x - 36 + 36 = 90 + 36[/tex]

[tex]8x = 126[/tex]

Divide both sides by 8

[tex] \frac{8x}{8} = \frac{126}{8} \\ [/tex]

[tex]x = 15.75[/tex]

_____________________________________________

Now let's find the measure of A :

[tex]A = 4x - 28[/tex]

[tex]A = 4 \times (15.75) - 28[/tex]

[tex]A = 63 - 28[/tex]

[tex]A = 35°[/tex]

And we're done...

Don't have a good day , Have a great day ♡

Find the equation of the tangent to the circle, whose equation is given below, at the point (-4,2).
(x+2)^2+(y−3)^2=5

Answers

The equation of the tangent is y = –2x – 6

The step by step process is in the pic attached.

The top part was cropped out, it says the centre point is (–2,3)

x*y=xy+2y find 4*[1*-5]

Answers

Answer:

- 90

Step-by-step explanation:

Evaluate 1*- 5 then the outer one

1*- 5 ( with x = 1 and y = - 5 )

= 1(- 5) + 2(- 5)

= - 5 - 10

= - 15

Then

4*- 15 ( with x = 4 and y = - 15 )

= 4(- 15) + 2(- 15)

= - 60 - 30

= - 90

solve for x -22=-7+3/5x

Answers

X-22=-7+3/5x
Answer x= 75/2
Explanation:

X-22=-7+3/5x multiply both sides of the equation my 5
5x-110= -35+3x

Move the variable to the left-hand side and change its sign
5x-110-3x= -35

Move the constant to the right-hand side and change its sign
5x-3x= -35+110

Collect like terms
2x= -35+110

Calculate the sum
2x=75

Divide both sides of the equation by 2
x=75/2

Answer x=75/2

please helppp !

whats the measure of angle 1

Answers

Answer:

1 = 70

Step-by-step explanation:

The triangle is an isosceles.

Subtract the angle 40 from 180 (all angles in a triangle add up to 180

The bottom two angles are the same, so dividing the number given by 180 - 40 by 2

180 - 40 = 140

140 / 2 = 70

answer:70
explanation: because all three angles have to add up to 180 and since they gave us 40 we can easily take 40 from 180. 180-40=140 and now we have 140 left and since there’s two angle left you divide by 2, 140/2 and we would get 70

|-13| = I do not get how I solve this equation could you please help me

Answers

Answer:

13

Step-by-step explanation:

whenever you take the absolute value of something it changes from negative to positive

|-13| is 13, its just how far away it is from zero

Write 90 as a product of primes. Use index notation when giving your answer.​

Answers

Answer:

90 =3 × 3 × 5 × 2.

Step-by-step explanation:

............

90/2= 45
45/3= 15
15/3=5
5/5=1

90= 2*3*3*5 = 2*3 (raised to the power of 2) *5

This is a plan view of a garden. The grass (shaded) has an area of 64 square metres. What is the length of the sides labelled x?
A. 5.5m
B. 6.0m
C. 6.8m
D. 9.0m
Please answer

Answers

The length of the sides of the square labelled x is b. 6.0 m.

Recall:

The formula for the area of a square with equal side, s, is given as s².

Given that the grass area is 64 sq. meters, to find the length of the sides labelled x, first find the area tat has sides labelled x.

Area = Total area of the garden - 64 sq. m

Area = (10 × 10) - 64

Area = 36 sq. m.

Area of square = s²

Lex x = s

Therefore:

x² = 36

Take the square root of both sides

x = 6 m

Therefore, the length of the sides of the square labelled x is b. 6.0 m.

Learn more about area of a square on:

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The sum of a number and negative three, multiplied by the number? ​

Answers

Answer:

x² - 3

This expression is not linear

Step-by-step explanation:

Let x = unknown number

The sum of a number and negative 3

Sum = addition

We are adding the unknown number "x" and -3

So we have x + (-3) or just x - 3

The sum of that is multiplied by the unknown number

So we get ( x - 3 ) x

We can then simplify this expression to get  x² - 3x

Any expression with an exponent is not linear. Refer to the attached image for more validation. A linear expression would create a straight line. The expression x² - 3x creates a curved line

lois made a dish with 6 1/3 cups of pasta . One serving of the pasta is 0.2 cups. How many servings of pasta were in the dish Lous made?

Answers

Answer:

33 2/3

Step-by-step explanation:

First you would change 0.2 to a fraction. This would be 1/5. You would then have to make these two have a common denominator. 6 1/3 would also become an improper fraction for visual sake.. The lowest common denominator they share is 15. I've drawn the process in the image above.

So now we have 95/15 and 3/15. From here, we would divide 95 by 3.

95 ÷ 3 = 31 10/15

This would give us 31 and 10/15 servings of pasta in the bowl. If we're talking about full servings, 31 would be the correct number, but if we're talking exact, then it is 31 2/3.

what is 25% off $27

Answers

Answer:

6.75 $

Step-by-step explanation:

25%

= 25 / 100

= 1 / 4

25% of $ 27

= ( 1 / 4 ) x ( 27 )

= ( 1 x 27 ) / 4

= 27 / 4

= 6.75 $

Answer:

$20.25

Step-by-step explanation:

A. In a complete sentence, describe the angle relationship in the diagram. B. Find the value of x

Answers

Answer:

  x = 30

Step-by-step explanation:

a) The sum of the angles along the line is 180°. That means ...

   2x° +90° +x° = 180°

__

b) Subtracting 90° and dividing by 3° gives ...

  3x° = 90°

  x = 30

Answer:

a) supplamentary angles b) X= 30

Step-by-step explanation:

A) Equal to 180 b) 90 divided by 3 gives you 30

HELLLLLLLLLLLLLPPPPPPPPPP

Answers

The first option. 100% correct.

[tex]a_n = 3\cdot a_{n-1}\\\\a_1 = 7\\\\a_2 = 3 a_{2-1} =3a_1 = 3(7) =21\\\\a_3 = 3 a_{3-1} =3a_2 = 3(21) = 63 \\\\a_4 = 3 a_{4-1} = 3 a_3 = 3 (63)=189\\\\7,21,63,189,......[/tex]

Find the volume of the box
Use the formula V = lwh

3x - 2, 2x + 1, x + 1

A. 6x^3 + x - 2

B. 6x^3 + 5x^2 - 3x - 2

C. 6x^3 - 2

D. 6x^3 - 13x^2 - 3x - 2

Answers

answer is B. detrjrajaetkterjaejq

question y+5/y+6=5/4
pleas answere this question it is really hard for me I will be thankfull

Answers

Refer to the attachment.

=》y = -10

_____

Hope it helps ⚜

The average rate of population decline between 2004 and 2014 is 1.45 thousand deer per year. If the population continued to decline at this rate, in which year would the population have reached 225 thousand deer? Explain your reasoning.

Answers

Answer:

in 155 years it would reach 225 thousand deer

Step-by-step explanation:

NPM = __?__

Less than BAC

Less than CAB

Less than BCA

Less than ABC

Answers

BCA

By the way, the “less than” isn’t a less than symbol lol

Which statement is not used to prove that triangle ABC is similar to triangle ADC?

Answers

Answer:

what are the statements we pick from?

Step-by-step explanation:

most likely look out for angles and lengths that go against the established ratio

make r the subject of the formula

Answers

Answer:

r=[tex]\frac{3t}{t-1}[/tex]

Step-by-step explanation:

t(r-3)=r

tr-3t=r

tr-r=3t

r(t-1)=3t

r=[tex]\frac{3t}{t-1}[/tex]

What percent is equivalent to 24/50?


24%

48%

50%

52%

Answers

Answer:

48%

Step-by-step explanation:

24 is almost 25 which is half of 50 you it would be 48%, hope this helps!:)

Need help with this thank u

Answers

Answer:

Add 1 multiply by two

Step-by-step explanation:

As you see when 0 goes to 1, 9 goes to 18 so it is add 1 multiply by two.

Answer:

y=9x+9

Step-by-step explanation:

y=mx+c

You can use any of the 2 points

pnt1. (1;18)

pnt2. (3;36)

find the gradient

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{36 - 18}{3 - 1} [/tex]

[tex]m = \frac{18}{2} [/tex]

[tex]m = 9[/tex]

substitute one point and gradient to find c

y=mx+c

18=9(1)+c

18=9+c

c=18-9

c=9

therefore the equation is y=9x+9

CAN SOMEBODY PLEASE HELP ME

Answers

Answer:

x and y are both equal to 57.5°

Step-by-step explanation:

180° - 65° = 115°

115 ÷ 2 = 57.5

Will give brainliest i rlly need help

Answers

Answer:

1/6

Step-by-step explanation:

-3/4 - (-1/2) = - 1/4

-2/3 - 5/6 = - 3/2

-1/4 ÷ -3/2

The sum of six times a number and six more than the number is the same as the difference between -30 and twice the number what is the number

Answers

Answer:

-4

Step-by-step explanation:

let the number be x

6x+(x+6)=-30-2x

7x+6=-30-2x

9x=-36

x=-4

At a local amusement park, 70% of the rides are made for kids who are 48 inches and taller. If there are 80 rides in total, how many are made for kids who are 48 inches and taller?

Answers

Answer:

56

Step-by-step explanation:

Basically you want to find out what is 70% of 80.

first you have to set up your problem

[tex]\frac{n}{80}[/tex] = [tex]\frac{70}{100}[/tex]

the first fraction would be the percent (70) over 100. (you always use 100)

The fraction to the left would be n over 80. the denominator (the number on the bottom) would be the whole amount. n would be the unknown number

To solve you would use the butterfly method. 80 x 70 and 100 x n. 80 x 70 is 5600 and 100 x n is 100n.

The final step is dividing. 5600 divided by 100 giving you 56

A basketball player makes 75% of her free throws. If she made 84 free throws this season, how many has she attempted?

A. 112
B. 105
C. 63
D. 168

Answers

Answer:

A

Step-by-step explanation:

84 / 0.75 = 112

112 x 0.75 = 84

Answer:

Its A

Step-by-step explanation:

Find the surface area of the rectangular prism. 7 m 4 m 5m

Answers

Answer:

A = 2 (wl+hl+hw)=2·(4.7+5·7+5·4)=166

Answer: A=2(wl+hl+hw)=2·(4·7+5·7+5·4)=166

Step-by-step explanation:

ricks bikes 24 miles in 3/4 of an hour what is the speed in the miles per hour.

Answers

Answer:

=32

Step-by-step explanation:

the speed = distance / time = 24 / (3/4) = 24*4 / 3 = 96 / 3 = 32 (mile/hour)

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