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Related Questions
Name the sets of numbers to which -1/2 belongs
A.integers,rational numbers
B.whole numbers,natural numbers, integers
C.whole numbers,integers,rational numbers
D.rational numbers
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Mr. Jimenez deposited money into an account in which interest is compounded quarterly at a rate of 2.6%.
How much did he deposit if the total amount in his account after 4 years was $7160.06, and he made no other deposits or withdrawals?
Formula Is : A = P ( 1 + r/n ) ^ n * t
Answer Choices:
a. $6455
b. $6798
c. $6887
d. $6977
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A is the amount after t years, P is the amount originally deposited, r is the interest rate, and n is how often the interest is compounded per t.
Plug in what we know and solve for P:
[tex]7160.06=P(1+ \frac{0.026}{4})^{(4)(4)} [/tex]
P = [tex] \frac{7160.06}{(1+ \frac{0.026}{4} )^{16}} = 6454.999 [/tex]
Answer:
Option a. [tex]\$6,455[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=4\ years\\ A=\$7,160.06\\ r=0.026\\n=4[/tex]
substitute in the formula above and solve for P
[tex]7,160.06=P(1+\frac{0.026}{4})^{4*4}[/tex]
[tex]7,160.06=P(1+\frac{0.026}{4})^{4*4}[/tex]
[tex]P=7,160.06/1.109227=\$6,455[/tex]
Find the values of a and b for which LMNO is a parallelogram.
A.
a = 50, b = 60
B.
a = 60, b = 50
C.
a = 50, b = 70
D.
a = 70, b = 50
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Calculate the monthly finance charge based on the following data: Average daily balance = $40.00 Daily periodic rate = 0.06% (state as a decimal) Days in cycle = 25
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This is calculated by multiplying the daily balance by the daily rate (as a decimal) and then multiplying by the number of days in the billing cycle.
0.06%=0.06/100 = 0.0006
40(0.0006)(25) = 0.6 or $0.60.
Answer: 60 cents
Step-by-step explanation:
The data set below represents the total number of touchdowns a quarterback threw each season for 10 seasons of play.
29, 5, 26, 20, 23, 18, 17, 21, 28, 20
1. Order the values:
5, 17, 18, 20, 20, 21, 23, 26, 28, 29
2. Determine the median:
= = 20.5
Calculate the measures of variability for the data set.
The range is ___ touchdowns. The interquartile range is ____ touchdowns.
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The range is 24 and the interquartile range is the difference between the median of the second-half to the first-half is 8.
What is a median?The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.
The data set below represents the total number of touchdowns a quarterback threw each season for 10 seasons of play.
29, 5, 26, 20, 23, 18, 17, 21, 28, 20
Arrange in ascending order, we have
5, 17, 18, 20, 20, 21, 23, 26, 28, 29
The range will be given as
→ Range = 29 - 5 = 24
The interquartile range will be given as
→ Interquartile range = median of second-half - median of first-half
→ Interquartile range = 26 - 18
→ Interquartile range = 8
The range is 24 and the interquartile range is 8.
More about the median link is given below.
https://brainly.com/question/300591
How many points did the team score in the 11th game and why?
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The team's point total after 11 games was 11*33 = 363.
The team scored 13 points in game 11.
Adeeb bought 5 oranges and 15 apples from the farmer's market. The equation 5r+15a=10.5 represents the amount of money he spent. Faye bought 12 oranges and 11 apples, represented by the equation 12r+11a=11.45 . What was the cost of each apple
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cost of an apple = a
Adeeb bought;
amount of oranges - 5
amount of apples = 15
the equation for the amount he spent
5r + 15a = 10.5
Faye bought
oranges - 12
apples - 11
the equation for the amount he spent
12r + 11a = 11.45
set of simultaneous equation
5r + 15a = 10.5 ---> 1)
12r + 11a = 11.45 ---> 2)
divide by the first equation by 5
r + 3a = 2.1--> 3)
Multiply third by 12
12r + 36a = 25.2 ---> 4)
subtract 2nd equation from the 4th
25a = 13.75
a = 0.55
substituting a = 0.55 in 3rd equation
r + 3*0.55 = 2.1
r = 2.1 - 1.65
r = 0.45
price of an orange = 0.45
price of an apple = 0.55
Gisele trains 7 days per week for a biathlon. She covers a total of 20 miles cycling and running each day. Gisele cycles a total of 105 miles each week, and runs a certain number of miles per week. If she cycles the same number of miles each day and runs the same number of miles each day, the equation 1/7(105+r)=20 represents the situation. Which describes the solution, r , to this equation?
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To solve the equation, it was first required to get rid of the fraction by multiplying both sides by 7 and then to isolate r, the running miles, you subtract 105 from both sides resulting in Gisele running 35 miles per week.
Explanation:The question is asking to find the number of miles Gisele runs each week, which is represented by the variable r in the equation. We start with the equation: 1/7(105 + r) = 20. This equation is derived from the fact that Gisele covers a total of 20 miles each day, for 7 days, and that total comprises both her cycling and running mileages. If she cycles 105 miles each week, then the distance she runs is the remaining part of those total 20 miles she covers each day. We multiply both sides of the equation by 7 to get rid of the fraction: 105 + r = 140. Now, if we subtract 105 from both sides of the equation, we get the solution for r as; r = 140 - 105 = 35 miles. Hence, Gisele runs 35 miles each week.
Learn more about Algebraic Equations here:https://brainly.com/question/953809
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a system of two equations contains one quadratic equation and one linear equation. the quadratic system of the equation is y=x^2+5x-9. the solutions of the system are (3,15) and (-1,-13). what is the linear equation in the system?
Help if you don't mind!
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when x=3, y=15, so 15=3m+b
when x=-1, y=-13, so -13=-m+b
solve the system of these two equation, you get m=7, b=-6
so the linear equation is y=7x-6
steve paid 10% tax on a purchase of 40$ . select the dollar amount of the tax ad the total dollar amont steve paid on the number line.
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The total paid is 40 + 4 = $44
Polygon ABCD has vertices A(0, 2), B(0, 8), C(7, 8), and D(7, 2). What is polygon ABCD and its perimeter? (Hint: Draw the polygon on the coordinate plane and find the slopes of each side.)
A. rectangle; P = 26 linear units
B. square; P = 42 units2
C. parallelogram; P = 42 linear units
D. trapezoid; P = 26 linear units,
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Answer:
Option A.
Step-by-step explanation:
The vertices of Polygon ABCD are A(0, 2), B(0, 8), C(7, 8), and D(7, 2).
Plot all vertices on the coordinate place.
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of the line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
First we need find the slope of each sides, using the above formula.
[tex]m_{AB}=\frac{8-2}{0-0}=\infty[/tex]
[tex]m_{BC}=\frac{8-8}{7-0}=0[/tex]
[tex]m_{CD}=\frac{8-2}{7-7}=\infty[/tex]
[tex]m_{AD}=\frac{2-2}{7-0}=0[/tex]
The slope of vertical lines is ∞ and slope of horizontal line is 0. It means sides AB and CD are vertical lines and sides BC and AD are horizontal lines.
Vertical and horizontal lines are perpendicular to each other. It means all interior angles of the polygon are right angles.
From the below figure it is clear that
[tex]AB=6[/tex]
[tex]BC=7[/tex]
[tex]CD=6[/tex]
[tex]AD=7[/tex]
Opposite sides are equal and interior angles are right angles, so the polygon is a rectangle.
Perimeter of the polygon is
[tex]Perimeter=AB+BC+CD+AD[/tex]
[tex]Perimeter=6+7+6+7=26[/tex]
Perimeter of polygon ABCD is 26 linear units.
Therefore, the correct option is A.
Simplify 3 ∙ 2x. What is the coefficient?
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solve the equation x-5=15 and state Euclid's axiom used
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[tex]x = 15 + 5[/tex]
[tex]x=20[/tex]
If equals are added to equals, the the remainders are equal.
Hope this helps !
Photon
What is the value of the function, then determine if the graph opening up or down f(x)=-5(x+7)^2+6?
A. a= -5, opens down
B. a= -5, opens up
C. a= 7, opens up
D. a= 7, opens down
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When the coefficient of x^2 is negative, the graph opens down.
Regular Polygons multiple choice
I think it's a - 60 but I'm not sure
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PLEASE ANSWER QUICK!!!SHOW STEPS
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5a. For the general equation y = a cos(bx), the period is given by 2pi/b. In this equation, b = 2pi/3, so this means that 2pi/b = 2pi/(2pi/3) = 3. Therefore, the period of this equation is 3, and the cosine wave repeats itself every 3 x-units.
5b. For the general equation y = a cos(bx), the amplitude is given by a. Therefore the amplitude is a = 1/4, and this means that the cosine wave's range is from -1/4 to 1/4 for all values of x.
5c. The equation of the midline is y = 0. This represents the average value over the wave. This is determined by adding the highest and lowest values of the range and taking the average, in this case, 1/4 + (-1/4) = 0, and 0 / 2 = 0. Another way to do this is using the general equation y = a cos(bx) + c, where the midline's equation is y = c. In this case, there is no value of c in the given, implying that c = 0, and the midline is y = 0.
6. Let the horizontal distance be x. Then tan42 = h/x, and h = x tan42. Then using the Pythagorean theorem: 3280^2 = h^2 + x^2
3280^2 = x^2 (tan42)^2 + x^2
3280^2 = x^2 [(tan42)^2 + 1]
x = 2437.52
Therefore, h = x tan42 = 2,194.75 ft.
Please, see the attached files.
Thanks.
Solve f(2) for f(x)=x-51
f(2)= [?]
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______________________________________________
" f(2) = 49 " .
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Explanation:
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Given: " f(x) = x – 51 " ; Find " f(2) " ;
→ Plug in "2" for "x" to solve for " f(2)" ;
→ f(2) = 2 – 51 = - 49 ;
______________________________________________
The answer is: " - 49" .
______________________________________________
" f(2) = 49 " .
______________________________________________
What is a width of a rectangular prism with a length of 13 ft , vouime of 11,232 cubic feet, and height of 36 ft.?
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I hope this helps!
The equation of line A is y = 7x + 12. Line B is perpendicular to line A and passes through the point . What would be the solution to the system of equations represented by line A and line B?
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The solution to the system of equations involving line A (y = 7x + 12) and a perpendicular line B passing through a given point involves finding the negative reciprocal of the slope of line A for line B, using the point-slope formula to get line B's equation, and solving the system to find their point of intersection.
Explanation:The question revolves around finding the equation of line B, which is perpendicular to line A (y = 7x + 12) and passing through a given point, then solving the system of equations formed by lines A and B. First, we identify that the slope of line A is 7. Since line B is perpendicular to line A, its slope will be the negative reciprocal of 7, which is -1/7. Assuming the point it passes through is provided in the question, we can use the point-slope formula y - y1 = m(x - x1) to find the equation of line B. After determining the equation of line B, we solve the system of equations represented by lines A and B to find the point of intersection, which will be the solution to the system.
To solve the system of equations, we would set the equations equal to each other and solve for one variable, then substitute back to find the other variable. This process involves algebraic manipulation such as substitution or elimination method. The final solution will be the coordinates (x,y) where both lines intersect.
A number written below and to the right of a chemical symbol in a formula is called a
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What fraction of the word, "Supercalifragilisticexpialidocious" has the letter 'i' in it?
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So the fraction is 7/34 <<<<====
The fraction of the word 'Supercalifragilisticexpialidocious' that has the letter 'i' is 7/34, which is already in its simplest form.
The word 'Supercalifragilisticexpialidocious' contains 34 letters. To find what fraction of this word has the letter 'i' in it, we first need to count how many times the letter 'i' appears. The letter 'i' appears 7 times in the word. Therefore, the fraction of the word that has the letter 'i' in it is 7/34.
It is important to note that this fraction can be simplified. However, since both 7 and 34 are prime numbers with respect to each other (they have no common factors other than 1), the fraction 7/34 is already in its simplest form.
As 25 foot building casts a 8 foot shadow. How tall is the building that casts a 20 foot shadow at the same time?
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A rectangle is 13 yards long and 23 yards wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form. $$ yd2
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[the area of the rectangle]=L*W
L=1/3 yd
W=2/3 yd
[the area of the rectangle]=1/3*2/3---------> 2/9 yd²
the answer is 2/9 yd²
Answer:
2/9
Step-by-step explanation:
A cylinder has a radius of 12 m and a height of 9 m.
What is the exact volume of the cylinder?
108π m³
216π m³
972π m³
1296π m³
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V = π(12)²(9)
V = 1296π³
So the correct answer is 1296π³
I'm pretty sure its 1296π m³ Hope this helps!
What is the value of n?
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The product (4 cm)*(6 cm) is equal to the product (3 cm)*(n).
Can someone solve this and show your work
g=6x
Solve for X
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to solve for x divide both sides by 6
x = g/6
Under which market structure does a firm have negligible influence over product pricing
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Perfect competition describes a market structure, where a large number of small firms compete against each other. In this type of market a single firm does not have any significant market power. As a result the industry as a whole produces the socially optimal level of output, because none of the firms have the ability to influence market prices. The idea of perfect competition is built on a number of assumptions which includes: all firms maximize profits, there is free entry and exit to the market, all the firms sell completely identical goods and there are no consumer preferences. This is an ideal market.
Answer:
perfect competition
Step-by-step explanation:
because i did the test.
NEED HELP PLZZ!!! Question 1. What are the dimensions of the matrix? {6,2,8,3}
A:1x4
B:1x1
C:4x4
D:4x1,
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My calculator might recognize this as a vector (or a list of 4 elements). It would like double brackets to make it a matrix: [[6,2,8,3]] with 1 row. My math program would treat it as either a 1x4 vector or a 4x1 vector depending on the expression it might get used in.
You need to consult your text or other curriculum material to determine the intended meaning of this expression.
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
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cos(22)=x/11
.927=x/11
X=10.199
Factor the expression. 21x^2 + 43x + 20
(7x – 5)(3x – 4)
(7x + 5)(3x + 4)
(7x – 5)(3x + 4)
(7x + 5)(3x – 4)
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The original trinomial has positive 20 and positive 43, so all factors of 21 and of 20 must be positive.
Only choice B has all positive terms, so choice B must be the answer.
[tex]21x^2 + 43x + 20\\ =21x^2+28x+15x+20\\ =7x(3x+4)+5(3x+4)\\ =(3x+4)(7x+5)\\ Answer B[/tex]