Answer:
7% interest = $10000
13% interest = $20000
Step-by-step explanation:
Let the amount invested at 7% interest be x.
Let the amount invested at 13% interest be y.
Thus;
x + y = 30000 - - - (eq 1)
We want to find out how much Paul needs to invest in each option to make a total 11% return on his $30,000.
Thus;
0.07x + 0.13y = 0.11(30000)
Multiply through by 100 to get rid of the decimal;
7x + 13y = 0.11(30000 × 100).
7x + 13y = 330000 - - - (eq 2)
From eq 1, x = 30000 - y
Put this for x in eq 2 to get;
7(30000 - y) + 13y = 330000
210000 - 7y + 13y = 330000
6y = 330000 - 210000
6y = 120000
y = 120000/6
y = $20000
x = 30000 - 20000
x = $10000
Thus;
Amount invested at;
7% interest = $10000
13% interest = $20000
Solve this systems of equations.
Will mark brainlest!
{4y + 7x =6}
{4y + 7x = -5}
Answer:
No solution
Step-by-step explanation:
The coefficient of x and y in both the equations are the same
That represents that both the lines are parallel
Hence no intersection is possible
this means that there is no solution possible
(5+3)+2=5+(3+2) what is the property?
Answer:
associative property
Step-by-step explanation:
simplify the expression 3x+2x
Answer:
=5x
Step-by-step explanation:
3x+2x
=3x+2x
=x+x+x+x+x
=5x
Step-by-step explanation:
step 1. 3x + 2x = 5x. that is the answer.
An experimental psychologist plans a study in which a crucial step is offering participants a food reward. It is important that the three food rewards be equal in appeal. Thus, a prestudy was designed in which participants were asked which of the rewards they preferred. Of the 60 participants, 16 preferred cupcakes, 26 preferred candy bars, and 18 favored dried apricots. Do these scores suggest that the different foods are differentially preferred by people in general? (Use the .05 significance level.)
You must use all five steps in hypothesis testing:
Restate the question as a research hypothesis and a null hypothesis about the populations.
Determine the characteristics of the comparison distribution.
Determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected.
Determine your sample’s score on the comparison distribution.
Decide whether to reject the null hypothesis.
Answer:
Step-by-step explanation:
From the information given:
[tex]\mathbf{H_o: there \ is \ no \ significanr \ difference \ between \ observed \ and \ expected \ value }[/tex]
[tex]\mathbf{H_a: there \ is \ significanr \ difference \ between \ observed \ and \ expected \ value }[/tex]
The characteristic of the comparison is a uniform distribution.
Since there are three categories from the data, then: the data obeys a U(0,3) distribution. However, supposed it happened that different food had the same appeal, thus, there will be uniform distribution in the preference score.
[tex]Degree \ of \ freedom \ df = n - 1 \\ \\ df = 3 - 1 = 2[/tex]
At 0.05;
Thus, at 0.05 and df of 2, the cutoff sample score at which [tex]H_o[/tex] will be reject is the critical value [tex]\mathbf{X_{0.05,2}^2 \ which \ is \ = 5.991}[/tex]
Prefered Observed Expected Expected (O - E) (O - E)²/ E
frequency frequency proportions
Cup cakes 16 20 0.333 -4.00 0.800
Candy bars 26 20 0.333 6.00 1.800
Dried apricots 18 20 0.333 -2.00 0.200
Total 60 20 1 -2.00 2.800
Thus the sample score is [tex]\mathbf{X^2_{observed} = 2.800}[/tex]
Decision rule: To reject the null hypothesis if the observed test statistic is higher than the critical value.
Conclusion: We fail to reject the null hypothesis and conclude that different foods have the same appeal to different people.
given 1/cot x - sec x/ csc x= cos x find a numerical value of one trigonometric function of x
Answer:
what's is supposed to be going on here what the the option
Answer:
Step-by-step explanation:
c on edge
determine the prime number between 150 and 200
Answer:
Thus out of 16 numbers which are multiples of 6 increased or decreased by 1,five numbers namely, 169, 175, 155, 185, and 187 are composite numbers. Thus we have 11 prime numbers between 150 and 200. We know 2,3, and 5 are prime numbers. Similarly 11, 13, 17, 19 are prime numbers
hope it helps you
please mark me as brainlist
The factors of x² and x and x - 5.
A. True
B. False
A.True
True hai
mujhe brainliest mark karde agar nahi kiya toh tujhe report kardunga
The equation of a line XY is (y-3)=3/2(x-4) what is the slope of the line perpendicular to XY?
Answer:
It must be 3/2.........
Answer: -2/3
Step-by-step explanation:
I wrote the equation y-3=3/2(x-4) in slope-intercept form. It's y=3/2x-5, so the slope is 3/2.
To find the perpendicular slope, I found the opposite reciprocal. The reciprocal of 3/2 is 2/3 and the opposite of 2/3 is -2/3
how many thirds are in 8/3
Answer:
There are 8 thirds in 8/3
There are 2 wholes in 8/3 as well
8/3 converted to a decimal is 2.7 rounded to the nearest tenth (so 2.6 repeated)
Step-by-step explanation:
1 + 4 = 5
2 + 5 = 12
3 + 6 = 21
5 + 8 = ?
Answer:
:)
Step-by-step explanation:
45
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please help me thank you
Answer:
y= - 1/6x-2
I hope it helped
7.89 7.890
Are they equal or which on is greater?
Answer:
they're equal
Step-by-step explanation:
Answer:
They are equal
Step-by-step explanation:
The circle below represents one whole.
What percent is represented by the shaded area?
%
Answer:
25%
Step-by-step explanation:
check
1/4 * 100% = 25%
The region represented by the shaded area has 25% and is 1/4th of the total circle.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
The formula to calculate the area of the circle is given as πr², where r is the radius of the circle.
In the given figure the total area of the circle is πr². The shaded region is one-fourth of the total area of the circle.
Total area = πr²
Shaded area = ( 1 / 4 )πr²
The percentage of the shaded area will be calculated as
Shaded area = ( 1 / 4 )πr²
Shaded area = ( 0.25 )πr²
To convert it into a percentage multiply by 100.
Shaded area = ( 0.25 x 100 )πr²
Shaded area =25% πr²
Put πr² as the total area.
Shaded area =25% of Total area.
Therefore, the region represented by the shaded area has 25% and is 1/4th of the total circle.
To know more about an area follow
https://brainly.com/question/25292087
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7 times the sum of 3 and q
one-fourth of z is subtracted from 6
Answer:
7(3+q)
(Z)/(1/4) - 6
The base of a triangle is four times its height. If the area of the triangle is 242 square millimeters , find its base and height.
area= 1/2 b*h
242=1/2 4h*h=2h^2
h^2=121
h=11
b=4h=44
answer this for me pls
Answer:
Slope = 2
Step-by-step explanation:
Find the slope by using the slope equation:
[tex]\frac{y^2 - y^1}{x^2 - x^1}[/tex]
Plug in the numbers to the slope equation:
[tex]\frac{8 - (-8)}{2 - (-6)}[/tex]
Which is equal to:
[tex]\frac{16}{8}[/tex]
Which is simplified to:
2.
The sum of two numbers is 15. Twice the large
number plus 4 times the smaller number is 24.
Find the large number.
23:
-
Determine the x- and y- intercepts for the graph defined by the given equation.
y = 7x + 3
a. X-intercept is (3,0)
CH
x-intercept is 0.-
y-intercept is 0,-
y-intercept is (3,0)
b.
d. x-intercept is (3, 0)
x-intercept is
0
y-intercept is
10
y-intercept is (0,3)
Please select the best answer from the choices provided
А
ОВ
Answer:
[tex](-\frac{3}{7}, 0)[/tex] -- x intercept
[tex](0,3)[/tex] -- y intercept
Step-by-step explanation:
Given
[tex]y = 7x + 3[/tex]
Required
Determine the x and y intercept
For x intercept.
Set [tex]y = 0[/tex]
So, we have:
[tex]y = 7x + 3[/tex]
[tex]0 = 7x + 3[/tex]
Collect Like Terms
[tex]7x = -3[/tex]
Make x the subject
[tex]x = -\frac{3}{7}[/tex]
Hence, the x intercept is: [tex](-\frac{3}{7}, 0)[/tex]
For the y intercept;
Set [tex]x = 0[/tex]
So, we have:
[tex]y = 7x + 3[/tex]
[tex]y = 7*0 + 3[/tex]
[tex]y = 0 + 3[/tex]
[tex]y = 3[/tex]
Hence, the y intercept is: [tex](0,3)[/tex]
AnswerB
Step-by-step explanation:
Graph
x= -7y
Please help
Answer:
? what do you mean by graph?
Step-by-step explanation:
Sophia is a salesperson at a home improvement center. She is paid a monthly commission that is 7.5% of her first $1,000 in sales and
12% of the balance of her sales. Today she sold $1200. How much is her commission?
HELP PLEASE I need the answer now, I will give 100 points to whoever answers first!!!
Answer:
1) c. 1,208 ft
2) a. 20 squares
Step-by-step explanation:
Find the x- and y-intercepts of the graph of 3x + 2y = 12. State your answers as
whole numbers or as improper fractions in simplest form.
x-intercept:
y-intercept:
Answer:
X intercept: 4
Y-intercept: 6
Step-by-step explanation:
To find the intercept of either x or y, you make the other letter equal to 0. So, to find the x-intercept, you would make y 0 and solve from there by dividing 12 by 3 leaving 4. Then you would do the same with making x equal to zero: 12/2= 6
I hope this helped!
Answer:
5y
4x
Step-by-step explanation:
A car can travel 28 miles per 1 gallon of gas. How far can the car travel on 14 gallons of gas
Answer:
392 miles in all.
Answer:
392 miles
Thats it
The equation y=0.24x+1.20 can be used to predict the price of fuel oil per gallon,
where x is the number of years since 2002. According to the model, what will be the
price of fuel oil per gallon be in 2018?
Answer: $5.04
Step-by-step explanation:
1.) Start by subtracting 2002 from 2018. (2018-2002=16)
2.) plug into the equation ( y= 0.24(16)+1.20)
3.) plug into calculator and you should get 5.04
Answer:
5.04
Step-by-step explanation:
5.04
What generalization can you make about the following equations: 7 divided by 1/4 = 28. 7 x 4 = 28. quick pls. ✌️I'll make you brainliest if you can help
Answer:
I guess its because they have the same outcome
Judy will use 2 1/2 cups of flour for each cake she bakes. Judy has 10 cups of flour. What is the maximum number of cakes Judy can bake?
Answer:
4 cakes
Step-by-step explanation:
Place the integers in order from greatest to least ? What the order? I need help
Answer:
9,8,1,0,-10,-15
Step-by-step explanation:
HOPEE HELPSS HEHE
Find the quotient. Answer as a decimal.
–6 ÷ 1
1
3
3
1
Answer:
≈ -0.0005
Step-by-step explanation:
12. A staffs shadow is 8 feet and a tree's shadow is 16 feet. If the staff is 9 feet tall, how tall is the tree?
A. 15 ft
B. 18 ft
C. 12 ft
D. 9 ft
Answer:
18 ft
Step-by-step explanation
1. Put 8/16 like a fraction and since we do not know the height of the tree yet we put the height as 9/d.
2. We have to cross multiply so we multiply 8 by d and we get 8d. Then we multiply 9 by 16 and we get 144.
3. We divide both sides by 8 so we can get (d) by itself and we divide 144 by 8 also.
4. We get d = 18
The answer is correct but my explanation is a little hard to read so sorry about that :)
Which of the following inequalities does the graph represent
Answer:
di KO kaya sorry kahit ako dipa KO talks dyan
