Answer:
No of Monthly payments it would take to pay off his credit card = $94.601 per month
Step-by-step explanation:
If Ramiro made monthly payments at the end of each month, how long would it take to pay off his credit card?
No of Monthly payment it would take to pay off his credit card = nper(rate,pmt,pv,fv)
No of Monthly payment it would take to pay off his credit card = nper(18.24%/12,10,-500,0)
No of Monthly payment it would take to pay off his credit card = $94.601 per month.
3x+-2=-2 will give brainiest if ya answer :D
Answer:
x=0
Step-by-step explanation:
3x+-2=-2
Add 2 to each side
3x+-2+2=-2+2
3x = 0
Divide by 3
3x/3 = 0/3
x = 0
Is the graph increasing decreasing or constant A ,B or C
Answer:
A.) constant
Step-by-step explanation:
The graph has a horizontal line that is neither increasing nor decreasing; therefore it is constant.
The given graph is constant because the line is parallel to the x axis, option A is correct.
The equation of the given graph is y=3.
The equation y = 3 represents a horizontal line that cuts across the y-axis at a height of 3.
This line is parallel to the x-axis and remains at a constant level of y = 3 regardless of the value of x.
There is no change in the y-value as x varies, the graph is considered constant.
Hence, the graph is constant.
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write the following algebraically using x as your unknown “i think of a number, multiply it by 3, add 4 and square the result”
Answer:
(3x +4)²
Step-by-step explanation:
I think of a number x, then i multiply it by 3, add 4 and square the result.
Representing this mathematically,
x * 3= 3x
Then add 4 which will be 3x + 4
Squaring the result would be (3x +4)².
So, if we give our unknown which is x the value of say, 3.
Substituting the value of x into that equation would be easy.
(3 (3) +4)²
= (9 + 4)²
= (11)²
=132.
In Evan's senior class of 240 students, 85% are planning to attend college after graduation. What is the probability that a senior is chosen at random not planning to attend college after graduation?
Answer:
36% ,hope this helps
Step-by-step explanation:
1) 100 - 85 = 15
2) 240 times 15 devided by:100
3) equals 36
4) 36 %
what is the equation of the line perpendicular to 2x-3y=13 that passes through the point (-6,5)?
Answer:
y = (-3/2)x - 4
Step-by-step explanation:
Recall that a line perpendicular to a given line has a slope which is the negative reciprocal of the given line. The given line can be re-written as -3y = -2x + 13, or
y = (2/3)x - 13/3
and so the slope of a line perpendicular to this given line is -3/2.
Then the desired equation, in point-slope form, is
y - 5 = (-3/2)(x + 6) (This is in point-slope form.)
Alternatively,
2y - 10 = -3(x + 6) = -3x - 18, or
2y = 10 - 3x - 18, or
2y = -3x - 8, or y = (-3/2)x - 4 (This is in slope-intercept form.)
plz help!
solve for t
Answer:
T = i or -i
Step-by-step explanation:
Consider these steps:
t^2 = -1
t = √-1 or -√-1
t = i or -i
Finds the missing values of the variables. the diagram is not to scale.
Answer:
A
Step-by-step explanation:
Because the angle with measure 124 degrees and angle y are a linear pair, their values must add up to 180 degrees. Therefore, y=180-124=56 degrees. Since all of the angles in a quadrilateral add up to 360 degrees, x must be 360-56-65-125=114 degrees. This means that the correct answer is choice a. Hope this helps!
A car is going 50 miles per hour. A rate that describes this would have units of
Answer:
mph or miles per hour
Step-by-step explanation:
find the equation of the sides of an isosceles right angled triangle whose vertex is (-2,3) and the base is on the line x=0
Answer:
[tex]\large \boxed{y = x + 5; y = -x + 1}[/tex]
Step-by-step explanation:
This is an isosceles right triangle, so triangles ABD and CBD are congruent.
∠ ABD = ∠CBD = 45°
The slope of BC = tan(45°) = 1, and
The slope of BA = tan(-45°) = -1.
1. Equation of BC
The point-slope formula for a straight line is
y - y₁ = m(x - x₁)
x₁ = -2; y₁ = 3; m = 1
Substitute the values
[tex]\begin{array}{rcl}y - 3 & = & 1(x - (-2))\\y - 3 & = & x + 2\\y & = & x + 5\\\end{array}\\\text{The equation for the line is $\large \boxed{\mathbf{y = x + 5}}$}[/tex]
2. Equation of BA
x₁ = -2; y₁ = 3; m = -1
Substitute the values
[tex]\begin{array}{rcl}y - 3 & = & -1(x - (-2))\\y - 3 & = & -1(x + 2)\\y - 3 & = & -x - 2\\y & = & -x +1\\\end{array}\\\text{The equation for BA is $\large \boxed{\mathbf{y = -x + 1}}$}[/tex]
An isosceles right triangle has two equal length legs and the hypotenuse side as its base
The equation of the sides of the isosceles right triangle are;
x = 0 (equation of the base)
y = 1 - x
y = x + 5
The reason for arriving at the above equations are as follows:
The given parameters of the isosceles right triangle are:
The coordinate of the vertex of the triangle = (-2, 3)
The base of the triangle, x = 0
The required parameter:
The equation of the sides of the isosceles triangle
Strategy:
Define the terms and relate the given information with the given term definitions
Solution:
The base of an isosceles triangle is the side that form the equal base angles with the two equal sides of the triangle
In an isosceles right triangle, the two equal sides of the right triangle are the legs of the right triangle, and therefore, the base of the triangle is the hypotenuse side
The base angles of an isosceles right triangle, [tex]\theta _b[/tex] = 45°
The altitude of the triangle, y = (0 - (-2) = 2
The altitude is a perpendicular bisector of the base, therefore;
[tex]tan(\theta _b) = \dfrac{Altitude}{\dfrac{1}{2} \times Base \ length }[/tex]
Therefore;
[tex]Base \ length = \dfrac{Altitude}{\dfrac{1}{2} \times tan(\theta _b)}[/tex]
We get:
[tex]\mathbf{Base \ length} = \dfrac{2}{\dfrac{1}{2} \times tan(45^{\circ})} \mathbf{= 4~}[/tex]
The coordinate of the midpoint of the base is the horizontal line from the vertex to the base, and therefore, the coordinate of the midpoint of the base is x = 0, and y = 3 = (0, 3)
The base is 4 units long and half the base length = 4/2 = 2 units
The coordinates of vertex at the base is given by adding or subtracting 2 from the y-coordinates of midpoint of the base as follows;
Vertex coordinates at the base = (0, 3 + 2) = (0, 5), and (0, 3 - 2) = (0, 1)
The slope, m₁, of the side, s₁, with endpoints (-2, 3), and (0, 1), is found as follows;
m₁ = (1 - 3)/(0 - (-2)) = -1
Therefore, the equation of the side s₁ is (y - 1) = -1·(x - 0), which gives;
y = -x + 1
The slope, m₂, of the side, s₂, with endpoints (-2, 3), and (0, 5), is found as follows;
m₂ = (5 - 3)/(0 - (-2)) = 1
Therefore, the equation of the other side s₂ is (y - 5) = 1·(x - 0), which gives;
y = x + 5
The equation of the sides are; x = 0 (given), y = 1 - x, and y = x + 5
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Which sampling would be appropriate to survey 120,000 people?
A) 12,000
B) 1,200
C) 120
D) 12
Answer: Id say b
Step-by-step explanation: a would be too high and a bit too detailed. Whereas c and d will be inaccurate.
Answer:
A. Twelve thousand
Step-by-step explanation:
cant specify my sources but please hit thank it would make my day :)
Solve the system of equations below algebraically.
2x + 3y = 6
- 5x+2y=4
Answer: The solution is (0,2)
Step-by-step explanation:
2x +3y = 6 We will solve the equations using the elimination method
-5x +2y= 4 but first we need to eliminate one of the variables and we will multiply the first equation by 5 and multiply the second equation by 2 to eliminate the x variable.
5(2x + 3y) =6(5) new equation : 10x +15y = 30
2(-5x + 2y) = 4(2) new equation ; -10x +4y =8
Now we have to new equations so we will eliminate the x term by adding
10x +15y = 30
-10x +4y =8
19y = 38 divide both sides by 19.
y= 2 Now using the solution for y plot it into one of the new equations and solve for x
10x + 15(2) = 30
10x + 30 = 30
-30 -30
10x = 0
x= 0
x (y-z)+y (z-x) +z ( x-y)
Answer:
xy-xz+yz-yx+zx-zy hoped this helped a little
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
x (y-z)+y (z-x) +z ( x-y)
Simplify the bracket
xy -xz + yz - yx + zx - zy
combine the like terms
xy - yx -xz + zx + yz - zy
= 0
The population of big cats in Africa is increasing at a rate of 5% per year. At the
beginning of 2004 the population was 10 000. (a) Write down the population of
big cats in Africa at the start of 2005. (b) Find the population of big cats at the
beginning of 2010. (c) Find the number of years, from the beginning of 2004, it
will take the population of big cats to exceed 50,000.*
Answer:
a) 10,500 big cats
b) 13,401 big cats
c) 33 years
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form; 5/100= 0.05)
t= years
A = population after t years
Replacing with the values given:
a) At 2005, 1 year passed since 2004 (t=1)
A = 10,000 (1+ 0.05)^1
A = 10,500 big cats
b)
At 2010, 6 years passed since 2004 (2010-2004= 6)
A = 10,000 (1+ 0.05)^6
A = 13,401 big cats
c)
50,000 < 10,000 (1+ 0.05)^t
Solving for t:
50,000/10,000 < 1.05^t
5 < 1.05^t
log 5 < log 1.05^t
log 5 < t ( log 1.05)
log 5 / log 1.05 < t
32.9 years < t
33 years = t
Feel free to ask for more if needed or if you did not understand something.
1 1/3 x 1 1/2 x 1 1/5
Answer:
7
Step-by-step explanation:
!..........................
Step-by-step explanation:
[tex](1\frac{1}{3} )(1\frac{1}{2} )(1\frac{1}{5} )\\(\frac{4}{3} )(\frac{3}{2} )(\frac{6}{5} )\\(\frac{2}{1} )(\frac{1}{1} )(\frac{6}{5} )\\\frac{12}{5}[/tex]
In the second step I made them all into simple fractions, just because that's easier.
In the third step I did a bit of cancelling to simplify everything as much as possible.
Answer:
[tex]\frac{12}{5}[/tex]
A pairs of fair dice is tossed . What is the probability of not getting a sum 5 or 9 ?
Answer:
28/36 or 7/9
Step-by-step explanation:
there are 36 possible answers
4 of them equal 5 (1+4, 2+3, 3+2, 4+1)
4 of them equal 9 (3+6, 4+5, 5+4, 6+3)
8-36 = 28
Andrew is going to have a pool party for all his friends.The cost of renting the swimming pool for the day is a $30.00 flat rate pluse an additional $2.00 per person.answer the following qustion and let c reprsents cost and n represents the nunmber of people.
Write an equation to represtent the total cot for renting the pool. Please answer i need help
Answer: 30×2n=C
Step-by-step explanation:
30$ is flat fee so no variable
2$ dollars per person so "n" (the number of people) is times 2
= the final cost (C)
Please help! Correct answer only, please! Find the following product if possible. Explain if it is not possible. A. B. C. D.
Answer:
A
Step-by-step explanation:
To find the product of these matrices, what we need to do is to multiply whatever we have at a specific position in the first matrix by that which we have in the same position in the other matrix.
Thus, we have the following;
(1 * -2) (3 * 1)
(-2*3). (5 * 4)
(-2) (3)
(-6). (20)
This makes option A correct
Find the circumference of the circle with the given radius or diameter. (Use 3.14 for it.)
diameter = 25 ft
a 39.25 ft
b. 78.5 ft
C. 490.63 ft
d. 1,962.5 ft
Answer:
B. 78.5 feet
Step-by-step explanation:
The circumference of a circle can be found using the following formula.
c=πd
We know that the diameter is 25 feet. We also know we are using 3.14 for pi.
d=25
π=3.14
Substitute these values into the formula.
c=3.14*25
Multiply the two numbers together
c=78.5
Add appropriate units. Circumference uses the same units as the diameter. The diameter is 25 feet, so the units are feet.
c=78.5 feet
The circumference of the circle is 78.5 feet, and the correct answer is B
The right answer is 78.5ft
please see the attached picture for full solution
hope it helps
good luck on your assignment
Kevin made cookies and brownies for the bake sale at school. He made 12 more cookies than brownies. He sold cookies for $1.50 and brownies for $2. He sold all of his food and made a total of $123. How many of each item did he sell? *
Answer:
He made 42 cookies and 30 brownies.
Step-by-step explanation:
Let c = number of cookies
Let b = number of brownies
"He made 12 more cookies than brownies."
The number of cookies is 12 more than the number of brownies.
c = b + 12
"He sold cookies for $1.50 and brownies for $2."
The money he made from selling cookies was 1.5c.
The money he made from selling brownies was 2b.
The total sales were $123
1.5c + 2b = 123
We have a system of equations.
c = b + 12
1.5c + 2b = 123
Substitute c of the second equation with b + 12
1.5(b + 12) + 2b = 123
1.5b + 18 + 2b = 123
3.5b = 105
b = 30
c = b + 12
c = 30 + 12
c = 42
He made 42 cookies and 30 brownies.
A regular polygon has 12 sides. Work out the size of each interior angle.
Answer:
150°
Step-by-step explanation:
Measure of each interior angle of polygon
[tex] = \frac{(n - 2) \times 180 \degree}{n} \\ \\ = \frac{(12 - 2) \times 180 \degree}{12} \\ \\ = \frac{10 \times 180 \degree}{12} \\ \\ = 10 \times 15 \degree \\ \\ = 150 \degree[/tex]
Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which equation relates the total amount of gasoline in the tank, y, to the number of gallons that she put in the tank, x? y=4+x y = x − 4 y = 4 · x y = x ÷ 4
The required equation is, y = 4 + x.
Hence, The correct answer would be an option (A).
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Now, Jayne stopped for gas before embarking on a road trip.
There were already 4 gallons of gas in the tank.
Hence, As per the question, the required equation would be as:
⇒ y = 4 + x
Thus, This equation relates the total amount of gasoline in the tank, y, to the number of gallons that she put in the tank, x. The total amount of gasoline in the tank, y, is equal to the number of gallons that she put in the tank, x, plus the 4 gallons that were already in the tank.
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A principal of $2500 is invested at 8.25% interest, compounded annually. How much will the investment be worth after 11 years? Use the calculator provided and round your answer to the nearest dollar.
Answer:
$5979
Step-by-step explanation:
8.25% = 0.0825
1.0825^11 = 2.3917
2.3917 * 2500 = 5979.25 = 5979
what is a complementary angle?
Answer:
A complementary angle are angles that add up to 90 degrees. For example, a 30 degree angle and a 60 degree angle are complementary angles because 30+60=90
Step-by-step explanation:
Answer:
Complementary angles are angles that add to a total of 90 degrees. An example of complementary angles are 44 and 46 degrees, because they sum to 90! Hope this helps you out!
find the answer! 10 points to the first person!
Answer:
36
Step-by-step explanation:
This is a 30, 60 90 triangle, which means that there is a ration for calculating each side.
use the rencetangle to find this area
Answer:
The area of the triange is 20 feet. beacause the area of the rectangel is 40 feet.
Step-by-step explanation:
How Do I Find The Answer To 320 = 3x + 16
｡☆✼★ ━━━━━━━━━━━━━━ ☾
320 = 3x + 16
-16 from both sides
304 = 3x
/3 on both sides
x = 304/3
Have A Nice Day ❤
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solve by cross multiplication method 2x-7y=-10 and 3x+2y-10=0
Answer:
x=2
y=2
Step-by-step explanation:
i only need answer to number 1 btw. My teacher said dont use trig ratios?? so im very lost.
A rectangle with an area of 24 square inches is formed by cutting strips of equal width from a rectangular piece of paper. Find the dimensions of the new rectangle if the original rectangle measures 8 inches by 6 inches.
Answer: 4 inches by 6 inches or 8 inches by 3 inches.
Step-by-step explanation:
The area of a rectangle is A = W*L
where L is the width and L is the lenght.
Now, the original rectangle has a measure of 8 in by 6 in.
if 8in is the lenght and 6 in is the width.
We want to divide only one of those measures in equal parts, such that when we take the product of the end results is equal to 24 in.
If we divide the lenght by half (so both parts will have the same width as this did not change), we now have that the lenght is 8in/2 = 4in and the width is 6in.
Now the area is 4in*6in = 24in, which is the area that we where looking for.
We also could cut the width in half, and get the dimensions 8 inches by 3 inches.
Joanne wants to buy a dishwasher. The dishwasher costs £372. Joanne will pay a deposit of £36. She will then pay the rest of the cost in 4 equal monthly payments. How much is each monthly payment?
Answer:
£84
Step-by-step explanation:
The total cost of the dishwasher is: £372
The deposit she makes is: £36
Thus, she still has to pay the following amount:
£372 - £36 = £336
And this amount will be divided into 4 equal monthly payments. So, we must divide the amount that she still has to pay by 4.
Each one of this monthly payments will have a value of:
£336 ÷ 4 = £84
the answer is that each monthly payment will be of £84
