Nine increased by the product of a number and 8 is greater than -24

Answers

Answer 1

Answer:

x>-33/8

Step-by-step explanation:

9+8x>-24

1) Subtract 9 from both sides:

8x>-33

2) Divide both sides by 8:

x>-33/8

Answer 2
Final answer:

The algebraic representation of the problem is 9 + 8x > -24. After isolating 'x', the solution to the inequality is x > -4.125, which means any number greater than -4.125 satisfies the equation.

Explanation:

The problem presented is a linear inequality, a topic of mathematics. The sentence 'Nine increased by the product of a number and 8 is greater than -24' can be represented algebraically as 9+8x > -24, where 'x' is the number in question.

To solve it, as we aim to find the value for 'x', you first isolate 'x' on one side of the inequality. Start by subtracting 9 from both sides to get 8x > -24 - 9, which results in 8x > -33. Then, you divide both sides by 8 to solve for 'x'. As a result, x > -33/8, or x > -4.125.

This means that any number greater than -4.125 will satisfy the equation 'Nine increased by the product of a number and 8 is greater than -24'. So, the solution to this inequality is x > -4.125.

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Related Questions

What is 848 -662 rounded the nearest hundred estimated

Answers

Answer: 200

it would be 200 becuase it would orignally be 186 and since it says "rounded the nerest hundred estimated" you would round up in this case and get 200

Good morning☕️

______

Answer:

200

___________________

Step-by-step explanation:

848 - 662 = 186

186 rounded to nearest hundred is 200.

:)

Binh spent 15 game tokens in an amusement park arcade . She won 11 tokens while she was playing the games. If she had no tokens left when she leaves the arcade, how many did she buy while she was playing games? Explain your answer

Answers

Answer:she only buy 4 tokens

Step-by-step explanation:

We know that Binh have 15 tokens, and she won 11 tokens. So, she just need buy 4 tokens.

She buys 4 games tokens during playing games.

What is subtraction?

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

The group's total number of items decreases or becomes lower when we subtract from it.

Number of tokens she won = 11

Number of tokens she spent= 15

Number of tokens she buy = Number of tokens she spent - Number of tokens she won

Number of tokens she buy = 15 - 11 = 4

Hence "She buys 4 games tokens during playing games".

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Question
Vartan was paid $25,000 for a cell phone app that he wrote and wants to invest it to save for his son's education. He wants
to put some of the money into a bond that pays 4% annual interest and the rest into stocks that pay 9% annual interest. If
he wants to earn 7.4% annual interest on the total amount, how much money should he invest in each account?

Answers

Answer:

The money invested into bond is $8000

The money invested into stocks is $17,000

Step-by-step explanation:

* Lets explain how to solve the problem

- Vartan wants to invest $25,000

- He wants to put some of the money into a bond that pays 4% annual

 interest and the rest into stocks that pay 9% annual interest

- He wants to earn 7.4% annual interest on the total amount

- We need to know how much money he should invest in each account

- Assume that he will put $x into the bond that pays 4% annual interest

- He will put the rest into stocks that pay 9%

- The rest = 25,000 - x

∴ The money earns = (4/100)(x) + (9/100)(25,000 - x)

∴ The money earns = 0.04 x + 2250 - 0.09 x

∴ The money earns = 2250 - 0.05 x ⇒ (1)

∵ He wants to earn 7.4% annual interest on the total amount

∵ Total amount is $25,000

∴ The money earns = (7.4/100)(25,000)

∴ The money earns = 1850 ⇒ (2)

- Equate (1) ans (2)

∴ 2250 - 0.05 x = 1850

- Add 0.05 x to both sides

∴ 2250 = 0.05 x + 1850

- Subtract 1850 from both sides

∴ 400 = 0.05 x

- Divide both sides by 0.05

∴ x = 8,000

∴ 25,000 - 8,000 = 17,000

∵ x represents the money invested into the bond

∵ 25,000 - x represents the money invested into the stocks

The money invested into bond is $8000

The money invested into stocks is $17,000

how do i evaluate (7 to the power of 2)to the power of 3)=7 to the power of 5​

Answers

Step-by-step explanation:

[tex](7^2)^3=7^5\qquad\bold{FALSE}\\\\\text{because}\\\\7^2=7\cdot7\\\\(7^2)^3=(7\cdot7)^3=(7\cdot7)\cdot(7\cdot7)\cdot(7\cdot7)=\underbrace{7\cdot7\cdot7\cdot7\cdot7\cdot7}_6=7^6\\\\\text{or use}\ (a^n)^m=a^{nm}\\\\(7^2)^3=7^{2\cdot3}=7^6[/tex]

[7^(2)]^(3) = 7^(5)

This is not true.

The left side does not equal the right side.

Left side = 7^(6).

Right side = 7^(5).

False statement.

The speed of the current in a stream is 2 mi/hr. It takes a canoeist 120 minutes longer to paddle 22.5 miles upstream than to paddle the same distance downstream. What is the canoeist's rate in still water?

Answers

Answer:

7 mph

Step-by-step explanation:

Let x mph be the canoeist's rate in still water.

The speed of the current in a stream is 2 mph, then

the canoeist's rate upstream is x-2 mph;the canoeist's rate downstream is x+2 mph.

The distance covered is 22.5 miles.

The time to go upstream [tex]\dfrac{22.5}{x-2}[/tex] hours.

The time to go downstream [tex]\dfrac{22.5}{x+2}[/tex] hours.

It takes a canoeist 120 minutes (= 2 hours) longer to paddle 22.5 miles upstream than to paddle the same distance downstream, then

[tex]\dfrac{22.5}{x-2}-\dfrac{22.5}{x+2}=2\\ \\22.5\left(\dfrac{1}{x-2}-\dfrac{1}{x+2}\right)=2\\ \\22.5\cdot \dfrac{x+2-x+2}{(x-2)(x+2)}=2\\ \\\dfrac{22.5\cdot 4}{x^2-4}=2\\ \\x^2-4=22.5\cdot 2\\ \\x^2-4=45\\ \\x^2 =49\\ \\x=\pm 7[/tex]

The canoeist's rate cannot be negative, then his rate in still water is 7 mph.

Final answer:

To find the canoeist's rate in still water, we set up equations using the time taken to travel 22.5 miles upstream and downstream, with the current's rate given as 2 mi/hr. A time difference of 2 hours between both directions yields a quadratic equation which can be solved to determine the canoeist's rate in still water.

Explanation:

To determine the canoeist's rate in still water, we first need to find the rates traveling upstream and downstream. Let's denote the canoeist's rate in still water as r (in miles per hour), and the rate of the current as 2 mi/hr. When the canoeist paddles upstream, the effective rate is r - 2 mi/hr and when paddling downstream, the effective rate is r + 2 mi/hr.

Given the distance is 22.5 miles in both directions, we can set up two equations:
1) Time upstream = Distance / (r - 2),
2) Time downstream = Distance / (r + 2).

The problem states that it takes 120 minutes (or 2 hours) longer to paddle upstream than downstream, so we have:
Time upstream = Time downstream + 2 hours.
Plugging in the equations from above gives us:
22.5 / (r - 2) = 22.5 / (r + 2) + 2.

Solving this equation, we multiply through by (r - 2)(r + 2) to get rid of the fractions, resulting in:
22.5(r + 2) = 22.5(r - 2) + 2(r² - 4),
which simplies to a quadratic equation we can solve for r.

Therefore, the rate of the canoeist in still water is approximately 3.65 miles per hour.

The ________ is the number that appears most often in a set of data

Answers

The MODE of a set of data values is the value that appears most often.

Answer:

Mode is correct

Step-by-step explanation:

Just did the test

Please help ASAP!!!!!

Answers

Answer:

75 ft.³

Step-by-step explanation:

[tex] {a}^{2} \frac{h}{3} = V[/tex]

[tex][(5)^{2}] ( \frac{9}{3}) = (25)(3) = 75[/tex]

a → length\base edge

I am joyous to assist you anytime.

Answer:

75

V= lwh = 5×5×9 = 75

3 3

The volume of the pyramid is 75

13
WRITE Mat. How does a digit in the ten thousands place compare
to a digit in the thousands place?
Chapter

Answers

So say we have the number: 54,321

The 5 would be worth 50,000 meaning it's in the ten thousands place.

The 4 would be worth 4,000 meaning it's in the thousands place.

.

The difference between them is a zero, so the ten thousands place is 10 times bigger than the thousands place

.

Hope that helps :)

What is the domain of the function
f(x)= square root of (1/3)x+2?

Answers

Answer:

The domain of f(x) = √[(1/3)x +2] is [-6, ∞).

Step-by-step explanation:

GIven f(x) = √[(1/3)x +2], you have to find the values for which the the expression inseide the square will be possitive (for negative values the function is not defined for Reals.

(1/3)x + 2 = 0 ⇒ (1/3)x = -2 ⇒ x = -2/(1/3) ⇒ x = -6

Finally the domain of f(x) is (-6, ∞).

Answer:

✔️ X [tex]\geq[/tex] -6

Which equation has no solution?

Answers

Answer: D

Step-by-step explanation: In order to have no solution, each side must have the same number of the variable. D works out to be 20+6x=6x+16

Carol needs to buy 16
apples for apple bobbing. If
each bag contains 4 apples,
how many bags will she
need?

Answers

Answer:

She will buy 4 bags of apples, because every bag has 4 apples, and if you divide the number of apples she needs by the number of apples per bag, you will get 4. 16/4=4

Step-by-step explanation:

Jasmine has 3 3 /8 pounds of turkey meat. She is making 1/3 pound turkey burgers. Does Jasmine have enough meat to make 12 turkey burgers? Explain.

Answers

Answer: no

Step-by-step explanation:

She needs a little less than 4 pounds to make 12 turkey burgers because 1/3 times 12 is about 3.99 pounds. But she only has 3 3/8 pounds which is about 3.375 pounds.

Jasmine does not have enough meat to make 12 turkey burgers as she has 3.375 pounds of turkey while 4 pounds of turkey is needed.

What is Unitary method?

The unitary method involves the process of finding the value of a single unit and based on this value, we can find the value of the required number of units.

Given is a girl named jasmine who has 3 3/8 pounds of turkey meat. She is making 1/3 pound turkey burgers.

Now -

1 burger requires → 1/3 pounds of turkey

12 burgers will require → 12 x 1/3 → 4 pounds of turkey

Turkey available with Jasmine → 3 3/8 pounds →  3.375 pounds of turkey

Hence, Jasmine does not have enough meat to make 12 burgers.

Therefore, Jasmine does not have enough meat to make 12 turkey burgers as she has 3.375 pounds of turkey while 4 pounds of turkey is needed.

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Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′:


A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure ABCD has A at ordered pair negative 4, negative 2, B at negative 2, negative 3, C at negative 3, negative 4, D at negative 4, negative 4. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 2, A prime at 2, 3, C prime at 3, 4, D prime at 4, 4.


Which statement best compares the lengths of the sides of the two figures?


Length of AB = Length of C′D′

Length of CD = Length of A′B′

Length of CD = Length of B′C′

Length of AB = Length of A′B′

Answers

Answer:

Length of AB=Length of A'B' because they are corresponding sides.

you should definetely mark me brainliest ;)

Answer: Length of AB = Length of A′B′

Step-by-step explanation:

Given : Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′.

We know that a rotation is a rigid motion which does not changes shape and size of the figure.

It means the corresponding side lengths are equal.

Thus , if  Figure ABCD is rotated to form A′B′C′D′, then the corresponding sides of both of them are equal.

i.e. Length of AB = Length of A′B′

Length of BC = Length of B′C′

Length of CD = Length of C′D′

Length of DA = Length of D′A′

Hence, the statement best compares the lengths of the sides of the two figures :  Length of AB = Length of A′B′

which expression is equivalent to 5x - 30?
A =. 5(x-30)
b =. 5( x-6)
c =. x(5 - 30

Answers

The answer is b because 5 times x is 5x and 5 times 6 is 30

Answer: I believe the answer is B

Step-by-step explanation:

Because 5 times x and then 5 times 6

That will give you 5x-30

in your new home, you are planning to completely re-landscape the backyard. the yard is 18 feet long and 20 Feet Wide. a contractor has said that for labor and materials, the cost to re-landscape will be $7 per square foot. how much will the landscaping project cost?

Answer: The Project will Cost _____ Dollars​

Answers

Answer:

$2520

Step-by-step explanation:

18 times 20 = 360

360 time 7 = 2520

Final answer:

The total cost of the landscaping project for the backyard is found by multiplying the area of the backyard (360 square feet) by the cost per square foot ($7/square foot), which gives a total of $2520.

Explanation:

To find the cost of the landscaping project, we first need to calculate the area of the backyard. The area is found by multiplying the length and width of the space. So, the area of the backyard is 18 feet x 20 feet = 360 square feet.

Next, we know that the cost to re-landscape the yard is $7 per square foot. To find the total cost, we multiply the area of the yard by the cost per square foot. So, the total cost will be 360 square feet x $7/square foot = $2520.

Therefore, the total cost of the landscaping project for the backyard is $2520.

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Find two consecutive odd integers such that the sum of their squares is 34

Answers

Answer:

3 and 5

Step-by-step explanation:

use the guess and check method form the numbers 1, 3, 5 since only the square of these 3 numbers are under 34.

Final answer:

The two sets of consecutive odd integers whose squares sum to 34 are 3 and 5, and -5 and -3.

Explanation:

To identify the two consecutive odd integers whose squares sum up to 34, we'll first understand that consecutive odd integers can be represented as x, and x+2 (since every other integer is odd). The squares of these integers should equal 34.

This gives us the equation: x^2 + (x+2)^2 = 34. Simplifying this, we get: x^2 + x^2 + 4x + 4 = 34, 2x^2 + 4x - 30 = 0. This simplifies further to x^2 + 2x - 15 = 0. Factoring this equation gives us (x-3)(x+5) = 0. Therefore, the solutions are x = 3 and x = -5.

Therefore, the two pairs of consecutive odd integers that satisfy the conditions are 3 and 5 or -5 and -3.

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Which of the binomials below is a factor of this trinomial?
5х2 - 5x - 100
А. х-4
ОВ. x+ 10
ос. x+5
OD. х- 5

Answers

Answer:  The correct answer is:   [D]:  " (x - 5) "

__________________________________________________

Step-by-step explanation:

__________________________________________________

First, let's try to "factor out" the given trinomial:

__________________________________________________

   "  5x² -  5x  - 100 " ;

__________________________________________________

We can "factor out" a "5" ;

since among the three (3) terms in this trinomial,

 We have:  5x² , 5x, and 100 ;

Note that not all of these 3 terms have a variable in them;

           → Consider the value;  "100" .

Note that the remaining two (2) terms have the same variable, "x" ;  

          →  5x² ; and 5x " ;

Note that each of these 2 (two) terms have a coefficient of "5" ;

Note that the other term, "100" ; is divisible "evenly"  by "5" ;

         → that is; when the term, "100", is divided by "5" ; the result is an integer;  {specially, " 100 ÷ 5 = 20 " .}.

__________________________________________________

So:  Let us being by "factoring out" a "5" ;

Given the trinomial:  " 5x² - 5x - 100 " ;

         →5(x² - 1x - 20) ;  or:  5(x² - x - 20) ;

 

       → At this point, although this trinomial express is not completely

"factored out" ;

__________________________________________________

Let us consider:  Do either of these two (2) factors appear among the answer choices given:

          1)  " 5" ;  or:  2)   "(x² - x - 20)" ??  No!

__________________________________________________

Let us continue.

We have:  5(x² - x - 20) ;  

       →  We can write as:  " 5 (x² - 1x - 20) "  ;

__________________________________________________

Now, let see if we can further "factor out" the:

       →  (x² - 1x - 20) ;

Now, note the " -20" ; and the " -1x " ;

       

      → What two (2) factors of:  "-20" ;  add up to "-1" ?  ;

__________________________________________________

Let us consider the factor of "-20" :

-20,  1 :  -20 + 1  = -19 ;  -19 =? -1 ?  No.

 20, -1 :  20 + (-1) = 20 - 1 = 19 ;  19 =? -1 ? No.

 10, -2 :  10  + (-2) = 10 - 2 = 8 ; 8  =? -1 ?  No.

-10,  2 :  -10 + 2 =  -8 ;  -8  =? -1 ?  No.

 -4, 5  :  - 4 + 5 = 5 + (-4) = 5 - 4 = 1 ;  1  =? -1 ?  No.

 4, -5  :   4 + (-5) = -5 + 4 = -1 ;  -1 =? -1 ?  Yes!

__________________________________________________

So,  we have +4  and -5 ;  

  (+4) * (-5) = -20 ;

  (+4) + (-5)  =  -5 + (+4) =  -5 + 4 = -1 ;

__________________________________________________

So, we factor out:

 →  (x² - 1x - 20) ;

that is:  " (x² - x - 20) " ;

into:

__________________________________________________

" (x + 4) (x - 5) " ;

and to factor out:  " 5x² - 5x - 100 " ;

we bring down the "5" ;  and write as:

 →  " 5 (x + 4) (x - 5) " ,

__________________________________________________

So:

We have three (3) factors when the trinomial expression is "factored out":  

 →  5 ;  (x + 4) ;  and:  (x - 5) ;

__________________________________________________

 → Among these three factors, the only one that appears as a given answer choice is:  

 →  " (x - 5) " ;

 →  which is our answer:

__________________________________________________

 →   Answer choice:  [D]:  " (x - 5) " .

__________________________________________________

Hope this answer is helpful to you!

      Best wishes!

__________________________________________________

How many significant figures are there in the following measurements?
a. 78.9 m
b. 3.788 x 10's
c. 2.46 x 106 kg
d. 0.0032 mm

Answers

Final answer:

The number of significant figures for each measurement is as follows: 78.9 m has 3 significant figures, 3.788 x 10^5 has 4 significant figures, 2.46 x 10^6 kg has 3 significant figures, and 0.0032 mm has 2 significant figures.

Explanation:

To identify the number of significant figures in a measurement, follow these general rules:

All non-zero digits are considered significant.Any zeros between non-zero digits are significant.Leading zeros (zeros before the first non-zero digit) are not significant.Trailing zeros in a number with a decimal point are significant.

Applying these rules to the examples provided:

78.9 m - This has 3 significant figures because there are two non-zero digits and one zero between them which is significant.3.788 x 10^5 - Here, there are 4 significant figures. Scientific notation does not affect the number of significant figures, which are determined by the digits in 3.788.2.46 x 10^6 kg - There are 3 significant figures, given by the digits in 2.46.0.0032 mm - This measurement has 2 significant figures. The zeros preceding the 32 are not significant as they are leading zeros.

Find the missing factor.
6x2 + 13x - 5 = (3x - 1
)

Answers

Answer:

(2x+5)

Step-by-step explanation:

What’s number 9? I know the answer

Answers

Answer:

9?

Step-by-step explanation:

15-6=9 or 6+_=15 so 6+9=15 and your final answer is,9?

In the diagram, WZ=StartRoot 26 EndRoot. On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (negative 2, 4), point X is at (2, 4), point Y is at (1, negative 1), and point Z is at (negative 3, negative 1). What is the perimeter of parallelogram WXYZ? units units units units

Answers

Answer: Last option.

Step-by-step explanation:

Observe the diagram.

The perimeter of the parallelogram will be the sum of the lenghts of its sides. Then:

[tex]P=WX+XY+YZ+WZ[/tex]

You know the lenght of the side WZ. This is:

[tex]WZ=\sqrt{26}\ units[/tex]

Notice that:

[tex]XY=WZ=\sqrt{26}\ units[/tex]

Now, you must find the lenghts of the sides WX and YZ ([tex]WX=YZ[/tex])

Observe that WZ goes from 2 to -2, therefore its lenght is:

[tex]WX=YZ=2-(-2)=4\ units[/tex]

Therefore, substituting values, you get that the perimeter of the paralellogram is:

[tex]P=(4+ \sqrt{26}+4+\sqrt{26})\ units\\\\P=2\sqrt{26} +8\ units[/tex]

Answer:

The correct answer is option D. :)

Step-by-step explanation:

I attached a ss below for proof :D

Hope this helped! Brainliest would be greatly appreciated :P

Can anyone please help me with this questions 2-51 “Plot triangle ABC with vertices A(0,0), B(3,4), and C(3,0) on graph paper. Using the origin as the point of dilation, enlarge it by...

Answers

Answer:My guess might not be correct, but here it is anyway: On the online math textbook, there's this thing called Homework help. Click on that where this problem and a graph show up on your screen. Click on the hint box, then you'll see an answer box below that. Add up the three side lengths, and you should have your answer. Then, you'll need to to look up on how to calculate an area and perimeter on a triangle. And that's it! Hope this helped Rosa.

Step-by-step explanation:

3) Michael, the ice cream man, can make 24 ice cream sandwiches in 1 hour. At this rate, how
many ice cream sandwiches can he make in 4 hours?

Answers

Answer:

24 times 4 = 96

Answer: 96 ice cream sandwiches

Step-by-step explanation:

24 ice cream sandwiches equals 1 hour

24 ice cream sandwiches x 4 hours = 96 ice cream sandwiches

Hope this helps!

Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.y=-2/5x+11/5

Answers

Answer:

y-intercept (0,11/5)

x-intercept (11/2,0)

Step-by-step explanation:

The y-intercept is obtained when the x-coordinate equals 0 (x=0)

so the y-intercept is (0,11/5)

The x-intercept is obtained when the y-coordinate equals 0 (y=0)

In this case

0 = -(2/5)x+11/5---->(2/5)x = 11/5 ----> x=(5*11)/(5*2) = 11/2

So the x-intercept is (11/2,0)

You pay $60 for 5 yoga classes. How much is one class?​

Answers

Answer: 12

Step-by-step explanation:

60 divided by 5 is 12.

Hope this helps!

Answer: $12

Step-by-step explanation:

60/5=12


9. Is the relationship shown by the data linear? If so, model the
data with an equation.

Answers

Answer:

D

Step-by-step explanation:

Its C because as you can tell its not a negative , so D is incorrect the its not a because there is a relationship and c is incorrect because Y is less than X which is  2 more than X and that is how i got D

What is a fixed number in math?

Answers

Answer:A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.

Step-by-step explanation:

(20 POINTS IF RIGHT)

Which table of ordered pairs represents a proportional relationship?

Answers

Answer:

the 4th one

Step-by-step explanation:

x increase by 3 and y increase by 12.

ANSWER: the answer would be 4

Step-by-step explanation:

it is  (-3,12) (-6,24) (-9,36) i know because it is going by fours and you have a number you can multiply it by or divide it by

After 2 days, the Johnsons had used
23 tanks of gas. How many tanks of gas
were they using per day?
tanks of gas​

Answers

Final answer:

The Johnsons were using 11.5 tanks of gas per day.

Explanation:

To find out how many tanks of gas the Johnsons were using per day, we need to divide the total tanks used by the number of days. Based on the information given, the Johnsons used 23 tanks in 2 days. So, the tanks of gas used per day can be calculated as:

23 tanks / 2 days = 11.5 tanks of gas per day

Remy has $14,000 to invest in two mutual funds. One fund pays interest at 4% per year and the other fund pays interest at 7% per year. How much should she invest in each fund if she wants to earn 6.1% interest on the total amount? Add commas where necessary.

Answers

$4,200 at 4%, $9,800 at 7%

The fund is 4200 dollars interest at 4% per year and the other fund is 9800 dollars interest at 7% per year.

What is the simple interest?

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

Remy has $14,000 to invest in two mutual funds.

Let the fund x dollars would be interest at 4% per year and

So the other fund is (14000 - x) dollars interest at 7% per year.

She invests in each fund if she wants to earn 6.1% interest on the total amount.

⇒ (4/100)x + (7/100)(14000 - x ) = (6.1/100)(14000)

⇒ 4x + 7(14000 - x ) = 6.1(14000)

⇒ 4x + 98000 - 7x = 85400

⇒ 3x = 12600

⇒ x = 12600/3

⇒ x = 4200

So the other fund = (14000 - 4200) = 9800

Hence, the fund is 4200 dollars interest at 4% per year and the other fund is 9800 dollars interest at 7% per year.

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Other Questions
Which of the following numbers is NOT a Solution of the inequality 6x5>4x7?A)1B)0C)-1D)-2 An airplane in the process of taking off travels with a speed of 80 m/s at an angle of 15 above the horizontal. What is the ground speed of the airplane? O 80 m/s O 21 m/s O 77 m/s O 2.6 m/s A man strikes one end of a thin rod with a hammer. The speed of sound in the rod is 15 times the speed of sound in air. A woman, at the other end with her ear close to the rod, hears the sound of the blow twice with a 0.12 s interval between; one sound comes through the rod and the other comes through the air alongside the rod. If the speed of sound in air is 343 m/s, what is the length of the rod? Most CO2 from catabolism is released duringa. glycolysis.b. the citric acid cycle.c. lactate fermentation.d. electron transport. Drag a statement or reason to each box to complete this proof.If 6(x4)=42, then x=3 Simplify (-2)(-3)^2 -2(2 - 5) A test charge of +4 C is placed halfway between a charge of +6 C and another of +2 C separated by 20 cm. (a) What is the magnitude of the force (in N) on the test charge?(b) What is the direction of this force (away from or toward the +6 C charge)?a. away from the +6 C charge orb. toward the +6 C charge The Jasmine Tea Company purchased merchandise from a supplier for $46,700. Payment was a noninterest-bearing note requiring Jasmine to make five annual payments of $12,000 beginning one year from the date of purchase. What is the interest rate implicit in this agreement? My math problem is 920310 can somebody please help me help me!!! picture is provided!!! What does the insurance check most likely symbolize?A. False hopeB. InjusticeC. True happinessD. Identity (help) What is x minus 1??? Sickle cell disease (SCD) is caused by a recessive version of the hemoglobin gene. In the US, SCD occurs in about 0.2% of the newborn babies. In some African countries, 4% of the newborn babies have sickle cell. Out of a random sample of 10,000 newborn babies in the US, how many would you expect to be homozygous for the normal, dominant hemoglobin genotype assuming Hardy Weinberg equilibrium? 64=6(5n3)+2(n7)-64=6(5n-3)+2(n-7) If the distance between two charge particles is increased by four, the force will decrease by a factor of Differences in standards of living, credit, buying power, and income distribution are all examples of ____ forces that must be considered in international marketing efforts. ______ is one of the leading manufacturing industries of the United States.The steel industryElectronicsMiningHealthcare Which verb form best fits this conversation? Juan: Dnde encontraste este refrigerador? Manuel: Lo ______________ en un sitio Web. A. Encontr B. Encontraste C. Encontr D. Encuentra Jyl, a supervisor, told her employees, "The store will close Monday for inventory. All employees are expected to participate." Jyl's communication to her employees is an example of upward communication.a) trueb) flase "The Constitution of the United States gives our government a legal basis for existing and since the public accepts our government's right to govern the people, the Constitution also serves to promote the concept of:"