Given:
a.) A person had 14,000 infested in two accounts.
b.) One paying 9% simple interest.
c.) One paying 10% simple interest.
Let,
x = the amount invested at 9% simple interest
y = the amount invested at 10% simple interest
1.) We know the total amount of money invested is $14,000. We get,
x + y = 14,000
2.) We know that the total interest for the year for the two accounts is $1432. We get,
0.09*x + 0.1*y = 1,339
Let's equate the two equations,
x = 14,000 - y (Substitute for x)
0.09*(14,000 - y) + 0.1*y = 1,339
1,260 - 0.09y + 0.1y = 1,339
0.1y - 0.09y = 1,339 - 1,260
0.01y = 79
0.01y/0.01 = 79/0.01
y = 7,900
Therefore, $7,900 was invested at the rate of 10% simple interest.
Let's determine x, substituting y = 7,900 in x + y = 14,000.
x + y = 14,000
x + 7,900 = 14,000
x = 14,000 - 7,900
x = 6,100
Therefore, $6,100 was invested at the rate of 9% simple interest.
Please helpppppp!!!!!!!!!!!!!!!!!!!!!!!!3|x_5|-|4y|/|x+y|when x=8 & y=4
Answer:
29/49
Step-by-step explanation:
x:y = 3:4
let x = 3x , y = 5k
3x+4y/8x+5y
= 3(3k)+4(5k)/8(3k)+5(5k)
= 9k+20k/24k+25k
=29/49
Jayden had $8 last week. He now has $11. what is the percent of change?
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
initial money = $8
final money = $11
percent of change = ?
Step 02:
percent of change
percent of change = ( final money - initial money ) / initial money * 100
= ( 11 - 8 ) / 8 * 100
= 3/8 * 100
= 0.375 * 100 = 37.5 %
The answer is:
The percent of change is 37.5 %
52 points helppp composite functions give most simplified answer
Answer:
[tex](f \circ g)(24)=-36[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=-9x+9\\g(x)=\sqrt{x+1}\end{cases}[/tex]
Function Composition is applying one function to the results of another.
The composite function (f o g)(x) means to substitute the function g(x) in place of the x in function f(x).
Therefore (f o g)(24) means to substitute the result of g(24) in place of the x in the function f(x).
Calculate g(24) by substituting x = 24 into function g(x):
[tex]\begin{aligned}\implies g(24)&=\sqrt{24+1}\\&=\sqrt{25}\\&=5 \end{aligned}[/tex]
Therefore:
[tex]\begin{aligned}\implies (f \circ g)(24) & = f[g(24)]\\& = f(5)\\& = -9(5)+9\\&=-45+9\\&=-36\end{aligned}[/tex]
Answer:
(f∘g)(24) = -36
Step-by-step explanation:
Pre-SolvingGivenWe are given f(x) = -9x + 9 and [tex]g(x)= \sqrt{x+1}[/tex].
We want to find (f∘g)(24).
This means that we first want to find g(24), then substitute the value of that into f(x).
SolvingStart by substituting 24 for x in g(x).
[tex]g(24)= \sqrt{24+1}[/tex]
Add 24 and 1 together.
[tex]g(24)= \sqrt{25}[/tex]
Take the square root of 25.
g(24) = 5
Now, substitute 5 as x in f(x) = -9x + 9.
f(5) = -9(5) + 9
Multiply.
f(5) = -45 + 9
Add the numbers together.
f(5) = -36
f(5) in this case has the same value as (f∘g)(24)
This means that (f∘g)(24) = -36
What is the degree of the polynomial above?
(A.) 1
(B.) 2
(C.) 3
(D.) 4
Answer:
The answer is B.
Step-by-step explanation:
I remember this question.
Answer:
c
Step-by-step explanation:
A car, initially traveling east with a speed of 15 meters per second , is accelerated uniformly at 4 meters per second 2 east for 10 seconds along a straight line. what is the total distance the car travels during this 10 second interval?
Answer:
350m
Step-by-step explanation:
Vi = 15 m/s
A = 4 m/s^2
delta t = 10s
delta x = ?
delta x = (Vi)(delta t) + 1/2(A)(delta t)^2
delta x = (15m/s)(10s) + 1/2(4m/s^2)(10s)^2
delta x = 350 m
Photo plus charges $2 for each print plus a $6 processing fee. Picture time charges $3 for each print plus a $4 processing fee. for what number of prints is the price the same at both stores
PLEASE HELP I AM GROUNDED AND NEED A BETTER GEOMETRY GRADE ASAP
Answer:
w = 9
Step-by-step explanation:
This is a 90-degree angle, so if you add both equations together, they will equal 90.
First, write the equation:
(4w - 7) + (7w - 2) = 90
Then you solve for w:
- add like factors
11w - 9 = 90
- add 9 to both sides
11w = 99
- divide both sides by 11
w = 9
So, the value of w is 9.
To check, plug your answer into the equation to check if it's true:
(4(9) - 7) + (7(9) - 2) = 90
(36-7) + (63-2) = 90
29 + 61 = 90
90 = 90
What is 541,000 rounded to the nearest 10,000
Answer:
540,000
Step-by-step explanation:
Since you are rounding to the 10,000s place you must look at the 1,000s place to decide what to round to. Since in the 1,000s place is a 1, you will round the number down (1 < 5).
LMNP is rotated 90 degrees clockwise around the orgin.What are the coordinates of L ?A. L(0,-1)B. L(-1,0)C. L(0,1)D. L(1,0)
Consider that a rotation of 90° clockwise is given by:
T(x,y) => (y,-x)
The coordintates of the point L is L(0,1), the, after the rotation you have:
T(0,1) => (1,0)
answer:
D. L(1,0)
2x^2+13x--24=0 solve for x
Answer:
0
Step-by-step explanation:
2/3×4/5 by using fraction bar step bystep
Answer: 8/15
Step-by-step explanation:
2/3 x 4/5, multiply numerators and denominators
8/15 or 0.533
In Exercises 45-48, solve the equation.
45. n - 5.3
-7.4
46. |2x + 5| = 3x
47. 7c+ 10-12c=-11-2c
48. (3h + 8) + 2 = 13
49. Determine whether the relation is a function.
Explain.
(0, -6), (1, -3), (3, 2), (5, 1), (2, -3)
50. Write the sentence as an inequality.
Seven is at most the quotient of a number d
and -5.
Just do 46, 48, and 50
Will give brainliest
The equations are solved to give;
46. x = 5
48. h = 1
50. The inequality is 7 ≤ d/ -5
What is an algebraic expression?An algebraic expression is described as a mathematical expression that is composed of terms, factors, coefficients, constants and variables.
They are described as expressions made up of arithmetic operations which includes;
ParenthesesSubtractionAdditionMultiplicationDivisionBracket, etcGiven the expression;
46. |2x + 5| = 3x
Take the absolute value, we have;
2x + 5 = 3x
collect like terms
2x - 3x = - 5
-x = -5
x = 5
48. (3h + 8) + 2 = 13
expand the bracket
3h + 8 + 2 = 13
collect like terms
3h = 13 - 10
3h = 3
Make 'x' the subject of formula
h = 1
50. Seven is at most the quotient of a number d and -5.
This is expressed as;
7 ≤ d/ -5
Hence, the values are x = 5, h = 1 and 7 ≤ d/ -5
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PLEASE HELP I WILL GIVE BRAINLIEST TO RIGHT ANSWER!!!!
1 3/5% of what number is 0.64?
Answer:
0.64 is 1 3/5% of 40
Step-by-step explanation:
scores on the wechsler adult intelligence scale for the age group from 20 to 34 are approximately normally distributed with mean 110 and standard deviation 15. how high must a person score to be in the top 10%? (hint: that means, 90% of adults in that age range have a score lower than this cut-off score.)
A person must score at least 129.24 to be in the top 10%.
Using the z-table, find the z-score that corresponds to the 90% probability.
probability = 0.90
z-score = 1.2825
For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
The z-score can be calculated using the formula below.
z-score = (x – μ) / σ
where x = individual data value
μ = mean
σ = standard deviation
Plug in the values and find the score to be in the top 10%, x.
z-score = (x – μ) / σ
1.2825 = (x – 110) / 15
x – 110 = 19.2377
x = 129.24
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find the zeros of the function and state the multiplicities
Answer:
x = -3/4, x = 0, x = 5
Explanation:
The equation can be rewritten as
[tex]m(x)=x(12x^2-51x-45)[/tex]The roots are found by equating the above to zero:
[tex]x(12x^2-51x-45)=0[/tex]One root we immediately notice is x = 0. The other roots are found using the fact that
[tex]12x^2-51x-45=0[/tex]To solve for x we use the quadratic formula which says for
[tex]ax^2+bx+c=0[/tex]the x is given by
[tex]undefined[/tex]please help me please
Answer:
Surface area= 6(5·5)+6(3·3)-2(3·3)
Step-by-step explanation:
first figure out the surface area of both cubes
for the larger cube- 5 multiplied by 5 for the area of one side then multiplied by 6 for all faces
for the smaller cube- 3 multiplied by 3 for the area of one side then multiplied by 6 for all the faces.
the cubes are touching on one face, this is the whole area of one side of the 3 by 3 cube, meaning two of these faces must be subtracted to find the surface area of the whole shape
hope that helps
a researcher selects a sample and administers a treatment to the individuals in the sample. if the sample is used for a hypothesis test, what does the alternative hypothesis (h1) say about the treatment?
The alternative hypothesis(h1) says that the treatment causes a change in the scores.
What is a hypothesis test?
In statistics, hypothesis testing involves putting an analyst's presumption about a population parameter to the test. The data type used and the study's purpose will determine the methodology the analyst uses.
Using sample data, hypothesis testing determines whether a claim is plausible. These data could originate from a broader population or a process that creates data.
Hence, the alternative hypothesis(h1) says that the treatment causes a change in the scores
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You are designing a poster with an area of 625 cm2 to contain a printing area in the middle and have the margins of 4cm at the top and bottom and 7cm on each side. Find the largest possible printing area. Round your answer to the nearest four decimal places.
Explanation
Step 1
diagram
so
Step 2
let
a)total area= side1*side 2
[tex]side1*side2=625[/tex]and
[tex]printing\text{ area=\lparen side1-14\rparen\lparen side2-8\rparen}[/tex]Step 3
solve
let
[tex]\begin{gathered} side1\text{ = x} \\ side\text{ 2 =}y \\ xy=625 \\ y=\frac{625}{x}\Rightarrow equation(1) \end{gathered}[/tex]and in teh second equation we have
[tex]\begin{gathered} pr\imaginaryI nt\imaginaryI ng\text{area=}\operatorname{\lparen}\text{s}\imaginaryI\text{de\times1-14}\operatorname{\rparen}\operatorname{\lparen}\text{s}\imaginaryI\text{de\times2-8}\operatorname{\rparen} \\ A=(x-14)(y-8) \\ replace\text{ the y value} \\ A=(x-14)(\frac{625}{x}-8) \\ A=\frac{625x}{x}-\frac{8750}{x}-8x+112) \\ A=-\frac{8750}{x}+625-8x+112 \\ dA=\frac{8750}{x^2}-8 \\ \frac{8750}{x^2}=8 \\ x^2=\frac{8750}{8} \\ x=\sqrt[\placeholder{⬚}]{\frac{8750}{8}} \\ x=33 \end{gathered}[/tex]replace to find y
[tex]\begin{gathered} y=\frac{625}{x}\operatorname{\Rightarrow}equat\imaginaryI on(1) \\ y=\frac{625}{33} \\ y=18.9 \end{gathered}[/tex]so
the maximum area is
[tex]\begin{gathered} x-14=33-14=19 \\ y-8=18.9=10.9 \end{gathered}[/tex]so, the greates area is
[tex]18.9*19=359.1[/tex]therefore, the answer is
359.1 square cm
I hope this helps you
cuáles son las raíces de la ecuación x²-6x-7=0
Answer Las raíces de la ecuación x2 − 6x + 7 = 0 son α y β. Encuentra la ecuación con raíces α + 1 β y β + 1 α. Deduzco que α + β = − b a = 6 1 = 6 y que αβ = c a = 7 1 = 7.
Step-by-step explanation:
Please help! It’s urgent! 2+4x-12-2y+1x
The result of the algebraic expression is 5x - 2y - 10.
Algebraic Expression:
An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).
Given,
Here we have the expression 2+4x-12-2y+1x.
Here we have to solve this expression and we have also find simplified form of it.
In order to solve it,
First we have to write the given expression,
=> 2+4x-12-2y+1x
Now, we have to combine the like terms, then we get,
=> (4x + 1x) + (2 - 12) - 2y.
Now, we have to perform the appropriate operation on it,
Then it can be written as,
=> 5x + (-10) - 2y
Now we have to write the equation in the standard form, then we get the result as,
=> 5x - 2y - 10.
Therefore, the resulting standard form of the equation is 5x - 2y - 10.
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Can you write a quadratic function that does not have a y-intercept?
Answer:
The graph of a quadratic function will always have one y-intercept
Step-by-step explanation:
Jayden was out at a restaurant for dinner when the bill came. His dinner came to $29. After adding in a tip, before tax, he paid $34.22. Find the percent tip
The percent tip when Jayden's dinner bill is $29 is 18%.
According to the question,
We have the following information:
Bill of Jayden's dinner = $29
After adding the tip, Jayden paid $34.22.
Now, we will find the percent tip.
First, we will find the amount added to the bill.
$(34.22-29)
$5.22
Now, let's take the percent tip to be x%.
x% of 29 = 5.22
29x/100 = 5.22
29x = 522
x = 522/29 (29 was in multiplication on the left hand side. So, it is in the division on the right hand side.)
x = 18%
Hence, the percent tip on Jayden's dinner is 18%.
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Jaida worked 21 1/2 hours last week.She earned $11.60 per hour of work.How much money did jaida earn last week
Answer:
249.40
Step-by-step explanation:
2. What is the slope-intercept form of 9x + 3y = 15?
y = 3x - 5
y = 3x + 5
y=-3x - 5
y=-3x+5
Answer:
y=3x+5
Step-by-step explanation:
OMGGGGGGGGGGGGGGGGGGGGGGGGGGGGG
Answer:
y axis-(0,6) x axis-(5,0) quad 1-(8.7,2.3) quad 2-(-1,10) quad 3-(-1/4,-6 1/2) quad 4-(5,-2)
Step-by-step explanation:
Solve for y
6x-3y=36
y = 2x - 12
Step-by-step explanation:Move all terms that don't contain y to the right side and solve.6x - 3y = 36In order to solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation. In our example, the term 6x will be moved to the right side. Notice that a term changes sign when it 'moves' from one side of the equation to the other.We need to get rid of expression parentheses. If there is a negative sign in front of it, each term within the expression changes sign. Otherwise, the expression remains unchanged. In our example, there are no negative expressions.Therefore, y = 2x - 12What is the value of this expression.
here's your answer hope it helps
Marilyn wants to use a non-price competitive marketing strategy to gain more customers. Which of the following might she use?
As Marilyn wants to use a non-price competitive marketing strategy to gain more customers, the strategy that she might use is offering a promotion.
What is a Non-price competition in marketing?In marketing, the non-price competition refers to a marketing strategy in which a firm tries to distinguish its product or service from competing products on the basis of attributes like design and workmanship.
This competition most often occurs in an imperfectly competitive markets because it exists between producers that sell goods and services at same prices but competes to increase their respective market shares through different non-price measures such as marketing schemes and greater quality.
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a top speed an object travels 3,200 millimeters in 4 seconds how many millimeters does the object travel each second
Ji-yoon has a savings account with $690 in it that earns 7% simple interest per year. How much money, to the nearest penny, will Ji-yoon have in 8 years? Give your answer in dollars.
Let's begin by identifying key information given to us:
Principal (p) = $690
Interest rate (r) = 7% = 0.07 per year
Time (t) = 8 years
The amount of money that Ji-yoon has in 8 years is calculated as shown below:
[tex]\begin{gathered} I=p\times r\times t \\ I=690\times0.07\times8=386.4 \\ I=\text{ \$}386.40 \\ \\ \text{The total amount Ji-yoon has after 8 years is:} \\ Total=\text{\$(}386.40+$690$) \\ Total=\text{\$}1,076.40 \end{gathered}[/tex]