$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;

https://brainly.com/question/1548909

#SPJ2


Related Questions

In A Fraction What Is The Number On Top Called

Answers

the fraction on top is classed the numerator

Answer: numerator

Step-by-step explanation the bottom is the denominator

Hopes this helps✊

Please help me on this math problem

Answers

We know the first term is 16, because f(1) = 16. Next, we can use the recursive rule provided. f(3)=1/2*f(3-1). This gives us f(3)=1/2*f(2). We know f(2) is 8. We know have f(3)=1/2*8. This is 4.

The answer is 16, 4.

3. Write the equation of the altitude from B for A(-7,-5) B(-5,5), C(2, 1).

Answers

Answer:

  y -5 = -3/2(x +5)

Step-by-step explanation:

The altitude from B is perpendicular to segment AC. The slope of segment AC is ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-5))/(2 -(-7)) = 6/9 = 2/3

The slope of the altitude line will be the opposite reciprocal of this, so is ...

  -1/m = -1/(2/3) = -3/2

The point-slope form of the equation of a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -5 = -3/2(x +5) . . . . . line with slope -3/2 through B(-5, 5)

_____

Additional comment

The equation can be put in other forms, as you may wish. Solving for y gives the slope-intercept form.

  y = -3/2x -5/2 . . . . . slope-intercept form

 3x +2y = -5 . . . . . . . standard form

*PLEASE HELP*

If f(x)= 4x^2
+3 , find
f(0)

f(-2)

Answers

Answer:

f(0) =  3

f(-2) = 19

Step-by-step explanation:

f(x)= 4x^2 +3

1)   f(x) = 4x^2 +3

    f(0) = 4(0)^2 +3

    f(0) =               3

2)   f(x) = 4x^2 +3

      f(-2) = 4(-2)^2 +3

      f(-2) = 4(4) +3

       f(-2) = 19

PLEASE HELP WILL MARK BRAINEST!!!

Answers

they biked 220 kil      

that is the answer

The cost of a ticket for 3 days stay in a cruise ship is 35,968. If 500 tickets were sold, what was the total amount collected?

Answers

Step-by-step explanation:

a ticket for 3 days cost = 35968

cost of 1 ticket = 35967÷3= 11989.33

therefore, 500 tickets cost= 500 x 11989.33

= 5994666.666, approximately 5994667

Pls help me sue tmr pls pls pals question 6

Answers

Answer:

Ankita is 135cm tall and Nita is 150cm tall- to find what percent of Nita's height Ankita represents you would divide ankita's height by Nita's height then multiply the answer by 100%

135cm/150cm = 0.9 (the centimetres cancel out and leaves a generic unit) then 0.9 x 100% = 90%

so Ankita is 90% of the height of Nita

Step-by-step explanation:

Fill in the boxes please

Answers

[tex]Given: AD \parallel BCAD∥BC and AD=CB[/tex]

To Prove: [tex]AB \parallel DCAB∥DC[/tex]

1. [tex]AD \parallel BCAD∥BC , AD=CB[/tex]

Reason: Given

2. AC = AC

Reason: Reflexive Property of Equality

3. [tex]\angle 2 = \angle 3∠2=∠3[/tex]

Reason: If Lines are parallel, then Alternate Interior Angles are Equal).

4. [tex]\Delta ACD \cong \Delta CABΔACD≅ΔCAB[/tex]

Reason: SAS

5. [tex]\angle 1 = \angle 4∠1=∠4[/tex]

Reason: CPCTE

6. [tex]AB \parallel DCAB∥DC[/tex]

Reason: If Alternate Interior Angles are Congruent, then Lines are Parallel.

Answer:

The missing Statements and reasons are given below

Statement                                                  >>   Reason

4. CB ≅ BC                                               >> reflexive property of congruence

5. ∠ABC ≅ ∠DCB and ∠ACB ≅ ∠DBC   >>   Alternate interior angles theorem

6. ΔACB ≅ ΔDBC                                      >>   ASA congruence

7. AB ≅ DC and AC ≅ DB                         >>   CPCTC

Ten movie tickets cost $80. How much does a single movie ticket cost?

Answers

Answer:

$10

Step-by-step explanation:

$80 / 10 tickets = 8 per ticket

use the midpoint formula to find the midpoint of the given segment on the coordinate plane

Answers

H(2,2) K(6,4)
(2+6/2) (2+4/2)
(8/2) (6/2)
Answer: (4,3)

Answer:

Midpoint : (4,3)

Step-by-step explanation:

midpoint = [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Where the x and y values are derived from the given points.

We are given points H and K which are at (2,2) and (6,4)

We have (x1,y1) = (2,2) so x1 = 2 and y2 = 2

As well as (x2,y2) = (6,4) so x2 = 6 and y2 = 4

To find the midpoint we simply plug in the values of x and y into the formula

Recall the formula [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

x1 = 2 , x2 = 6 , y1 = 2 and y2 = 4

plug in these values into the formula

[tex](\frac{2+6}{2} ,\frac{2+4}{2} )[/tex]

add top values: 2 + 6 = 8 and 2 + 4 = 6

[tex](\frac{8}{2} ,\frac{6}{2} )[/tex]

simplify fractions : 8/2 = 4 and 6/2 = 3

The midpoint is at [tex](4,3)[/tex]

Mean of 72, 75, 78, 72, 73

Answers

to find the mean you add all the numbers together

72 + 75 + 78 + 72 + 73 = 370

then you divide by the number of numbers there are

370/5= 74

74

72+75+78+72+73 = 370

370/5 = 74


Given f(x) = 2x2 – 9x + 2, g(x) = 1 - 6x, and
h(x) = x2 – 4, find the following function:
(h+f)(x)

Answers

Answer:

[tex](h+f)(x)=3x^2-9x-2[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-9x+2\\g(x)=1-6x\\h(x)=x^2-4[/tex]

Looks like g(x) is irrelevant here.

You can expand this like so:

[tex](h+f)(x)\\h(x)+f(x)[/tex]

And even further:

[tex](x^2-4)+(2x^2-9x+2)[/tex]

Now, it's just a matter of simplifying.

[tex]x^2-4+2x^2-9x+2\\\\(x^2+2x^2)+(-9x)+(-4+2)\\\\3x^2-9x-2[/tex]

Therefore:

[tex](h+f)(x)=3x^2-9x-2[/tex]

Would you rather have your boss pay you 10,000 a day for 3 full weeks

Answers

Answer:

yes I would............

Question 1(Multiple Choice Worth 2 points)
Convert 0.00001 to a power of 10.

104
10−4
105
10−5

Answers

Answer:

Hello! Your answer here is 10−5.

Step-by-step explanation:

To convert 0.00001 to a power of 10, we use scientific notation. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

In this problem, the given decimal number is 0.00001. We must move the decimal 5 places to the right, which gives us 1.0.

Then, we multiply 1.0 by 10 raised to the negative of the number of places we have moved the decimal point - so we multiply 1.0 by 10−5, which gives us our answer:

10−5

2 decreased by the sum of m and 8

Answers

Answer:

(m+8) - 2

Step-by-step explanation:

what is 56/53 = I'm so confused I used my calculator but i don't know whats accurate

Answers

Answer:

1.05660377358 or 1.06 rounded

Step-by-step explanation:

If it needs to be rounded, use 1.06 or 1.057. If not, the exact answer is 1.05660377358.

Answer:

1.056603774

Step-by-step explanation:

6 out of every students in a school watched FIFA world cup final match on TV. What is the ratio of the number of students who watched the final match to those who did not?

A. 6:4
B. 6:10
C. 6:16
D. 4:10

PLS ANSWER ASAP!!! ILL MARK U BRAINLIEST!!!♡♡♡​

Answers

Answer:

6:16

Step-by-step explanation:

plz mark as brain lst and like

What is the answer for 3x-7y=4 solve for y

Answers

y = [tex]\frac{4-3x}{7}[/tex]

Answer:

[tex]y = \frac{ - 4 + 3x}{7} [/tex]

Step-by-step explanation:

follow the steps in the previous answer, but

negative divided by a negative is positive

Can ya'll help- none of the answers i've gotten match any answers-

Answers

Answer:

1 8/11

Step-by-step explanation:

Using a calculator you can determine this information easily. I recommend doing so.

the answer is

1 and 8/11

explanation

Estimate the quotient .
pls help me
19 4/5 ÷ 4 5/8

Answers

Answer: The quotient is 4 52/185, which rounds to 4.

Explanation is in the image.

Verizon has a special and is selling the new iPhone 7 for $299 to new customers. If the Apple Store is charging twice as much as Verizon, then how much is Apple charging for the new phone?

Answers

Answer:

$598

Step-by-step explanation:

2 x 299 = 598 so Apple is charging $598 for the new phone.

3⋅ (3⁴) = 3x=
What does x equal to?

Answers

X=27
81 = 3x= 27
So x means 27

passes thru (2,-1) with slope of 6

Answers

Answer:

y = 6x - 13

Step-by-step explanation:

Desmos guess and check :)

Answer:

y = 6x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 6 , then

y = 6x + c ← is the partial equation

To find c substitute (2, - 1 ) into the partial equation

- 1 = 12 + c ⇒ c = - 1 - 12 = - 13

y = 6x - 13 ← equation of line

3.52 in expanded form

Answers

Step-by-step explanation:

3.52 =

3

+ 0.5

+ 0.02

hopes this helps you

solve the equation using elimination

Answers

Answer:

1 1/3

Step-by-step explanation:

you would take 3x+2y=7 and put y=-3x+11 in place of y so it would be 3x+2×-3x+11=7

If a car travels 299.8 miles in 7.5 hours, what is the car's speed? please help quick!

45 mi/hr

27.5 mi/hr

25 mi/hr

40 mi/hr

Answers

Answer:

answer is D

Step-by-step explanation:

speed = distance divide by time.

299.8/ 7 .5

40

If 333 + 555 = 999
And 123 + 456 = 488
And 505 + 213 = 809
Then, 344 + 732 = ???

Answers

Answer:

1076

Step-by-step explanation:

Is the answer for the last one is 298?

A group of friends wants to go to the amusement park. They have no more than $50 to spend on parking and admission. Parking is &11 and tickets cost $13 per person plus tax. How many people can go to the amusement park?

Answers

Answer:

3 people

Step-by-step explanation:

$11 for parking leaving $39 after paying for parking

39÷13=3

PLEASE HELP ME ASAP!!!!

Answers

Answer:

Subtraction property is the answer

Step-by-step explanation:

Mark brainliest please!

The altitudes of each triangle are drawn. Which of the triangles has an orthocenter on the exterior of the triangle?

Answers

Answer:

the second triangle

Step-by-step explanation:

because the point of intersection is out the triangle

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