Translate the verbal statements into a system of linear equations: Fatima invested a total of $1000 in two simple-interest bank accounts. One account paid 5% annual interest; the other paid 6% annual interest. The total amount of interest she earned after 1 year was $56

Answers

Answer 1

Answer:

Step-by-step explanation:

Translate the verbal statements into a system of linear equations: Fatima invested a total of $1000 in two simple-interest bank accounts. One account paid 5% annual interest; the other paid 6% annual interest. The total amount of interest she earned after 1 year was $56

Simple interest formula =

I = PRT

We are to find the Amount = Principal invested

For Account 1

I1 = P × 5% × 1

= 0.05P

Account 2

I2 = P × 6% × 1

= 0.06P

Therefore:

0.05P + 0.06P = $56


Related Questions

pelase help me thank you

Answers

Step-by-step explanation:

it has been awhile since ive done this.

so a line =180

so to find the other angle you simply subtract 120 from 180.

You have $45 n your bank account
You start a lawn mowng busness
making $12 per own
How many lawns wl you have to
mow before you have more than
$1179

Answers

You’re answer will be 99 because 12x99=1,188
$1179 (total made) - $45 in bank already = $1,134 divided by $12 (amount charged per lawn) = 95 lawns

Please help. Do not steal my points or I will report. Find the a, b, and c in this quadratic function. x(x – 2) = 4

Answers

Answer:

a = 1, b = - 2, c = - 4

Step-by-step explanation:

[tex]x(x - 2) = 4 \\ \\ {x}^{2} - 2x =4 \\ \\ {x}^{2} - 2x - 4 =0 \\ equating \: it \: with \: \\ a {x}^{2} + bx + c = 0 \\ \\ a = 1 \\ b = - 2 \\ c = - 4[/tex]

1. do you believe that line segments, rays and congruent lines would affect your daily insights about things and matters? explain.

2. what did you learn from the lesson and how are you going to apply it in real life situations? ​

Answers

Answer:

when u find out can u pls lmk j have the same question too!!

What is the side lengths in inches of a cube with volume of 1 cubic inch

Answers

Answer:

a=1in

Step-by-step explanation:

Using the formula

V=a3

Solving fora

a=V⅓=1⅓=1in

answer? for this geometry question

Answers

Answer:

A

Step-by-step explanation:

SSS-side, side, side

you only know that there are two corresponding congruent sides but you need to know if that third side is congruent to it's corresponding side.

Hope this helps have a nice day you amazing bean child

GUYS PLEASE HELP ME PLEASE

Mrs. Leister spent $212 to attend a Panthers game. . Thirty percent of this cost was for a parking pass. She spent the remainder of the money on two tickets for the game. What was the price per ticket?

Answers

Answer:

$31.80

Step-by-step explanation:

30% of 212 is 63.6, 63.6 / 2 is $31.80

Bungee Gum contains both properties of rubber and gum<3

Answers

Answer:

5

Step-by-step explanation:

5

Will give brainliest, 15 points!

Elyssa is participating in a walk-a-thon. To represent the amount of money she will raise, she writes the equation, Y = 5X + 10. How much money will she raise if she walks 5 kilometers?

Answers

Answer:

$35

Step-by-step explanation:

This is actually pretty simple!

All you have to do is plug 5 in place of x and solve.

Y=5(5)+10

Y=25+10

Y=35

She raises $35 if she walks 5 kilometers.

A triangle has sides of length 3.5 inches and 6 inches. Which of the following CANNOT be the length of the third side, in inches?
A.2
B.3
C.4
D.5
E.6

Answers

Answer:

a.2

Step-by-step explanation:

Triangle ABC is reflected across the y-axis and then translated down 1.5 units to form triangle A'B'C'. Determined if each statement below is true or false. Select True or False next to each statement

Answers

Answer:

They are all true.

Step-by-step explanation:

Rigid transformations, like reflections and translations, preserve angle measures and lengths.

a trapezoid is a parallelogram always sometimes never

Answers

Answer:

never

Step-by-step explanation:

trapezoids only have one set of parallel lines. a parallelogram has to have two or more

Jackson record the elevations relative to sea level that two fish are swimming.The first was at 6 feet, and second was at 11 feet What are the opposite elevations and what do they represent

Answers

the answer is

-6 and -11 which are the opposites

What’s the answer to the question?

Answers

Answer:

multiply all the fractions to get your answer

Step-by-step explanation:

When Marie solved a system using substitution, she got 0 = 0. What can Marie conclude? The system of equations does not have a solution. The work must be incorrect because it is not possible to get this equation. The solution to the system is (0, 0). The system of equations has infinitely many solutions.

Answers

Answer:

D. The system of equations has infinitely many solutions.

Step-by-step explanation:

0 = 0 is the correct equation without any variables.

It means the initial equations will be correct for any value of the variables.

This brings us to the conclusion that the system has infinitely many solutions.

Correct choice is D

Write a polynomial functionſ of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 1,3, and
2-i.

Answers

Answer:

f(x) = [tex]x^{4} - 8x^{3} + 24x^{2} - 32x + 15[/tex]

Step-by-step explanation:

First of all, if 2 - i is a zero, then so is 2 + i

All you need to do now is multiply (x - 1)(x - 3)(x - 2 + i)(x - 2 - i)

I will do part of that multiplication

(x - 2 + i)(x - 2 - i) = [tex]x^{2}[/tex] - 2x - xi - 2x + 4 + 2i + xi - 2i - [tex]i^{2}[/tex]

                           = [tex]x^{2}[/tex] - 4x + 5

So, now (x - 1)(x - 3)([tex]x^{2}[/tex] - 4x + 5) =  [tex]x^{4} - 8x^{3} + 24x^{2} - 32x + 15[/tex]

I will let you finish that multiplication.  I did some and you can do some.  OK?

                                     

how do I found X with this triangle?​

Answers

Answer: 14

tip: search up oster Miller triangle calculator

Can you plz help me thanks

Answers

Answer:

J

Step-by-step explanation:

Answer:

The answer is J

Step-by-step explanation:

The letters are corresponding with each other.

heeelppp pleaseee ):

Answers

Answer:

16. A and C; 17. All triangles

Step-by-step explanation:

Reflection over x is just "flipping upside-down as if turning the page over holding the ends of x axis", so it's A and C

Congruent means "have same sides and angles" and all the triangles are the same that way.

5/6 divided by 1/3
o 6/18
o 10/6
o 10/18
o 5/18

Answers

Answer:

5/6 divided by 1/3 = 15/6

Step-by-step explanation:

(5/6)/(1/3) = (5/6)(3/1) = 15/6

Now, (5/6)x(1/3) = 5/18

Classify Two-Dimensional Figures

Answers

Answer:

The bottom left ( square )

Step-by-step explanation:

top left : parallelogram

top right : irregular shape, i'm not sure on it's name

bottom left : square, which in special cases can be a rectangle.

bottom right : Trapezium which comes under the category of a parallelogram

The third figure in the given diagram is a rectangle.

What is a rectangle?

A rectangle is a quadrilateral having the four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree.

From the given figure we can see that the third figure is having four sides in which two opposite sides are parallel and equal all the four sides are perpendicular to each other making an angle of 90 degrees.

Therefore the third figure in the given diagram is a rectangle.

To know more about rectangles follow

https://brainly.com/question/25292087

#SPJ2

4) A 60 kg astronaut pushes against a 120 kg satellite with a force of 15 N. How much force does the satellite exert on the astronaut?

Answers

Answer:

30n

Step-by-step explanation:

pls help!!
A deposit of $1500 is made into a savings account which earns 4 5/8% interest compounded annually. If no additional deposits or withdrawals are made, which amount is the total balance at the end of 5 years?

A). $1846.88

B). $1869.27

C). $1880.48

D). $1891.74

Answers

Answer:

I think the best answer is C. $1880.48

Step-by-step explanation:

Hope this helps and sorry if its incorrect

A car uses 3t gallons of gasoline to travel 5 miles.

a) How many gallons of gasoline are needed to travel 8 miles? Give your answer in terms of t.

24t/5 (fraction)

b) The car uses 9t gallons of gasoline to travel from Town X to Town Y. How many miles apart are the two towns?

please answer “b” i know a for certain

Answers

Answer: a) [tex]\frac{24}{5}t gallons[/tex] are needed to travel 8 miles

b) Town X and town Y are 15 miles apart.

Step-by-step explanation:

Given : Gasoline used to travel 5 miles = 3t gallons

a) To find: Gasoline used to travel 8 miles = ?

Using unitary method:

If Gasoline used to travel 5 miles = 3t gallons

Thus Gasoline used to travel 8 miles = [tex]\frac{3t}{5}\times 8=\frac{24}{5}t gallons[/tex]

[tex]\frac{24}{5}t gallons[/tex] are needed to travel 8 miles

b) when 3t gallons of gasoline are used , distance covered = 5 miles

Thus when 9t gallons of gasoline are used , distance covered = [tex]\frac{5}{3t}\times 9t=15 miles[/tex]

Thus town X and town Y are 15 miles apart.

72 out of the 96 employees at the water slides are temporary employees. What percentage of the employees at the water slides are temporary?

Answers

Answer:

72/96 ×100%

3/4 × 100%

300/4%

75%

please help i really need it and please don't answer just to guess please i really need the help this is the only one

Answers

Answer:

18x

Step-by-step explanation:

-It is the same as 3x^-2 • 6x^3.

-Multiply the constants (in this case 3 and 6 =18)

-Add the exponents (-2+3=1)

-Your answer is 18x

2. A local club had a fundraiser to raise money for 15 different programs. They raised $1,275. The club wants each program to get the same amount of money. How much should each program receive?

Answers

Answer:85

Step-by-step explanation: 1,275 divided by 15

6. Ellen was given 25 boxes of chocolate to sell for a club fundraiser. She sold of her boxes
during the first week of the fundraiser.
If Ellen sells 9 of her remaining boxes during the second week, how many boxes of chocolate will
she still have left to sell?
boxes

Answers

Answer:

6 Boxes

Step-by-step explanation:

So, she has already sold 2/5 boxes of chocolate, so we just make 25 into 2/5.

5 x 5 = 25.

5 x 2 = 10.

So 2/5 = 10/25.

So, she sold 10 boxes the first week, and then 9 more the second week.

So, 10 + 9 = 19.

If she need to sell 25 boxes and has already sold 19, then you do :

25 - 19 = 6.

So, she needs to sell 6 more boxes!~~

Hope this helps!~ <3

For each part below, use the figure to fill in the blank.
If necessary, you may learn what the markings on a figure indicate.
(a) Find AB
(b) Find mZF.
B
B
D
600
F
A
60°
400
60°
c
E
AB = 0
mZF = °

Answers

Answer:

a. AB = 6

b. m<F = 70°

Step-by-step explanation:

a. Triangle ABC is an equilateral triangle because all three angles are equal to 60° each. Therefore, all three sides would also be equal to each other.

Thus, since one of the sides, BC = 6, therefore:

AB = BC = 6

b. The markings indicate that two sides of ∆EDF (ED & EF) are equal in length. This means that ∆EDF is an isosceles having two equal base angles (<F and <D).

This:

m<F = (180 - m<E)/2

m<F = (180 - 40)/2

m<F = (140)/2

m<F = 70°

An item is regularly priced at $ 70. It is on sale for 40% off the regular price. How much in dollars) is discounted from the
regular price?

Answers

Answer:

42

Step-by-step explanation:

70 minus 40 percent equals 42

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