Answer:
$3029.94
Step-by-step explanation:
We can use the simple interest rate (appreciation) equation: A = P(1 + r)^t
Simply plug in our variables to find our answer:
A = 2400(1 + 0.06)^4
And we should get 3029.94 as our answer!
expand 3(x+4) I don't understand
Answer:
3x+12
Step-by-step explanation:
3(x+4)
Distribute the 3 to each term in the bracket.
3(x)+3(4)
Multiply.
3x+12
Answer:
3x+12
Step-by-step explanation:
When expanding this equation all you have to do is solve..
Now to solve this equation is pretty simple.
3(x+4)
3(x) = 3x
3(4) = 12
Now them together
Your answer is 3x+12
Hope this helps!
IS ANYONE HERE GOOD AT CALCULUS?? IF SO, PLEASEEEE HELP ME!!!! An object’s velocity at time t is given by v(t) = –2 sin t. Let s(t) represent the object’s position at time t. If s(0) = 0, then s(t) = A) 2 cos t. B) –2 cos t. C) 2 cos t – 2. D) –2 cos t + 2.
Answer: C
Step-by-step explanation:
Since we are given velocity, which is the first derivative, we have to fidn the antiderivative of velocity to get position.
∫-2sint dt
s(t)=2cos(t)+C
Since we are given s(0)=0, we can plug in the values to find C, constant.
0=2cos(0)+C
0=2(1)+C
0=2+C
C=-2
Now that we know our constant, we can find out position.
s(t)=2cos(t)-2
Answer:
Sorry this is not an answer but it wouldn't let me comment go you friend me or something so we can work on calculus together
Step-by-step explanation:
A line which intersects one of two parallel lines intersects the other also.
A. Always
B. Sometimes
C. Never
(I put always, but that turned out to be incorrect)
Answer:
Sometimes
Step-by-step explanation:
When a line intersects one of two parallel lines, it will sometimes intersect the other also.
Ex. If one of the parallel lines was at y=2, the intersecting line could be y=2.
The correct answer is- B. sometimes
A line which intersects one line need not necessarily intersect other line also , also the two parallel lines never intersect.
What is transversal?
A transversal is a line that passes through two lines in the same plane at two distinct points. Its a line that crosses other lines.
here, in the question its not mentioned about transversal so its not necessary that line which intersects one parallel line also intersect other. Hence, its sometimes either or situation that depends upon the probability of the situation that a line will intersect or not.
hence, the correct answer is- B. Sometimes.
learn more about "transversal" here
https://brainly.com/question/24756209
#SPJ2
Let A = {1, 2, 3, 4, 5} and B = {2, 4}. What is A ∩ B? (1 point)
A. {2, 4}
B. {1, 2, 3}
C. {1, 2, 3, 4}
D. {1, 2, 3, 4, 5}
Answer:
{2, 4}.
Step-by-step explanation:
A = {1, 2, 3, 4, 5} and B = {2, 4}.
A ∩ B?
This means intersection or what is in common
A ∩ B = {2, 4}.
What is the slope of the line in the graph? On a coordinate plane, a line goes through points (negative 2, negative 1) and (0, 1). slope =
Answer:
1
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
= (1 - -1)/(0- -2)
= (1+1)/(0+2)
2/2
=1
Answer:
1
Step-by-step explanation:
by using rise over run
Can anyone help me i am really confused
Answer:
125 cm³
Step-by-step explanation:
The volume (V) of a cube = s³ ( s is the length of the sides )
Since the shape is a cube then all sides are congruent, thus
V = 5³ = 5 × 5 × 5 = 25 × 5 = 125 cm³
Answer:
v=l×w×h 5×5×5=125cubedcm
Step-by-step explanation:
you see a cube has an equal length, width and height
can someone help me please? thanks!
Answer:
V = 11/21
Step-by-step explanation:
Formula: V = 4/3πr³
Simply plug in r to find volume
V = 4/3π(1/2)³
V = 0.52381
And we have our answer!
What is the decimal multiplier to decrease by 15%?
Explanation:
If we start off with $100 and decrease by 15%, then we are decreasing by $15 since 15% of 100 = 0.15*100 = 15
We start with $100 and drop to 100-15 = 85. Dividing this over the original 100 gets us 85/100 = 0.85
Put another way, 100% - 15% = 1 - 0.15 = 0.85
The decimal multiplier for "decrease by 15%" is 0.85; this sort of thing is useful if you wish to apply multiple discounts to a product.
Side note: the 0.85 can be thought of as 85%, so the product's new value is 85% of its original value
Factorize x^3-10x^2-53x-42
Answer:
(x+1)(x-14)(x+3)
Step-by-step explanation:
The first step in factorising polynomials is to find the smallest factor first. The way to do this is with trial and error. Lets see if x+1 is a factor.
According to the factor theorem, (x-a) is a factor of P(x) if and only when P(a) = 0
In this case we will use f(x) = ((x)^3)-((10x)^2)-53x-42
f(-1) = 0
Therefore (x+1) is a factor of the polynomial.
Now we divide the polynomial with (x+1) via long division to get (x^2)-11x-42.
We now factorise (x^2)-11x-42 using whatever method you would like. I'm going to use the AC method, where we find a number that multiplies to AC and adds to B, In this case AC = -42, and B = -11.
Therefore (x^2)-11x-42 factosied is (x-14)(x+3)
Now merge (x+1) with (x-14)(x+3)
The final answer is (x+1)(x-14)(x+3)
If this has helped, please consider making this the Brainliest answer!
Answer:
(x+1)(x+3)(x-14)
Step-by-step explanation:
=> x³-10x²-53x-42
We'll break 10x² and -53x into parts
=> x³+x²-11x²-11x-42x-42
Taking common
=> x²(x+1)-11x(x+1)-42(x+1)
Taking x+1 as common will make it
=> (x+1)(x²-11x-42)
Using mid term break formula
=> (x+1)(x²-14x+3x-42)
=> (x+1)[x(x-14)+3(x-14)]
Taking (x-14) as common
=> (x+1)(x+3)(x-14)
This is the required factorized form.
Hope it helps :)
Which functions graph is a translation of the graph of f(x)= 3x^2 + 4 seven units down?
A. F(x)= -4x^2 +4
B. F(x)= 10x^2+4
C. F(x)= 3x^2-3
D. F(x)= 3x^2 +11
Answer:
Option C
Step-by-step explanation:
Consider the function f ( x ) = 3x^2 + 4;
[tex]f ( x ) = 3x^2 + 4,\\\\4 = vertex ( y - intercept ),\\\\\\[/tex]
Now if this graph were to be translated 7 units down, considering the function was f ( x ) = 3x^2, the new graph would be f ( x ) = 3x^2 - 7. The same concept is applied to the graph f ( x ) = 3x^2 + 4;
[tex]4 - 7 = - 3,\\f ( x ) = 3x^2 - 3\\\\Solution - Option C[/tex]
* Note that a translation doesn't effect the rate with which the graph changes, it only effect's it's position on the coordinate plane
Hope that helps!
A new car costs $45,000 but depreciates
15% each year. Write a function that
models the value of the car. Find the value
of the car after 10 years.
Answer: $8859
Step-by-step explanation:
Let value after 10 years be y
y = 45000 (0.85)^10
y = 45000 (0.2)
y = 8859
What is the sign of the product (–5)(–3)(–8)(–6)? Positive, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is positive Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive Negative, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is negative Negative, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is negative
Answer:
Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive
Step-by-step explanation:
There are an even number of negative factors, so the product is positive:
Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive
What is the nth term rule of the quadratic sequence below -4,1,12,29,52,81,116
Step-by-step explanation:
29-12 is a 17 difference
52-29 is a 23 difference (adding 6 to the number 17)
81-52 is a 29 difference (adding 6 to the number 23)
116-81 is a 35 difference (adding 6 to the number 29)
Answer:
29-12 is a 17 difference
52-29 is a 23 difference (adding 6 to the number 17)
81-52 is a 29 difference (adding 6 to the number 23)
116-81 is a 35 difference (adding 6 to the number 29)
Step-by-step explanation:
how big is New York city
Answer:Land area: 302.6 mi²
Population: 8.399 million
Step-by-step explanation:
New York City can be described as very big and it has actually been ranked as the 24th biggest city in the United States in terms of land area it ...
Answer:
Land area: 783.8 km²
Population: 8.399 million
Step-by-step explanation:
Find the 75th term of the arithmetic sequence -21, -10,1, ...
Answer:
a(75) = 793
Step-by-step explanation:
Arithmetic Explicit Formula: an = a1 + (n-1)d
Step 1: Find equation
d = (1-(-10)) = 11
a1 = -21
an = -21 + 11(n-1)
Step 2: Plug in 75 as n
a(75) = -21 + 11(75-1)
a(75) = 793
And we have our final answer!
Write the equation of the function y=6/x translated 5 units to the left and 4 units up
Answer:
f(x)= (6/x+5)+4
Step-by-step explanation:
y/x translated 5 units
y/x+5 then 4 units up y/(x+5) +4
if z (3,-1) is the midpoint of line segment of coordinate x (5,2) and y (a,b) then find the value of a and b. I need it fast if u tell fast I'll mark ur Brainliest. It's a deal
Answer:
the coordinates of y are (1,-4)
Step-by-step explanation:
by using midpoint formula
z(x,y)=([tex]\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2}[/tex])
putting the values of coordinates
(3,-1)=[tex]\frac{5+a}{2}[/tex],[tex]\frac{2+b}{2}[/tex]
separating the coordinates
3=[tex]\frac{5+a}{2}[/tex] and -1=[tex]\frac{2+b}{2}[/tex]
3×2=5+a and -1×2=2+b
6=5+a and -2=2+b
6-5=a and -2-2=b
1=a and -4=b
so the actual coordinates of y are (1,-4)
i hope it will help you
A bell tolls every 10 minutes. Another bell tolls every 15 minutes. Both bells toll at 6:00 PM. They will toll together again at :
Answer:
The bells ring again together at 6:30
Step-by-step explanation:
10 minute bell
6 6:10 6:20 6:30 6:40 6:50
15 minute bell
6 6:15 6:30
The bells ring again together at 6:30
the interior angles of a Pentagon are (y+13°),(y+15°),(y+23°),(y+29°), and(y+40°) a.Find the value of y b. Find the value of each interior angles
Answer:
y=84
first : 84+13=97
second : 84+15=99
third : 84+23=107
fourth: 84+29=113
fifth : 84+40 =124
97+99+107+113+124 = 540
Step-by-step explanation:
sum of interior angles of a pentagon=540 degreas
y+13+y+15+y+23+y+29+y+40=540
5y=540-(13+15+23+29+40)
y=84
first : 84+13=97
second : 84+15=99
third : 84+23=107
fourth: 84+29=113
fifth : 84+40 =124
97+99+107+113+124 = 540
On the right triangle shown below, calculate the height of the traffic
light. Round your answer to the nearest whole number. Enter the
value without units.
Answer:
x = 14
Step-by-step explanation:
Tan 25 = [tex]\frac{opposite}{adjacent}[/tex]
Where opposite = x, Adjacent = 30 m
=> 0.466 x 30 = x
=> x = 14
Answer:
[tex]\Huge \boxed{\mathrm{14 \ meters}}[/tex]
Step-by-step explanation:
We can use trigonometric functions to solve for the problem.
[tex]\displaystyle \sf tan( \theta )=\frac{opposite \ side}{adjacent \ side}[/tex]
Plug in the values and evaluate.
[tex]\displaystyle \sf tan( 25\° )=\frac{x}{30}[/tex]
Multiply both sides by 30.
[tex]\displaystyle \sf 30 \cdot tan( 25\° )=x[/tex]
[tex]\sf x=13.98922974...[/tex]
The height of the traffic light is 14 meters (rounded to nearest whole number).
What is the answer in these boxes
Answer:
I found that the answer is (5,1)
Step-by-step explanation:
4 times x(5) is 20
3 times y(1) is 3
20 + 3 = 23
bottom equation:
x(5) -- 5y(1) = 0
Classify the following triangle. Check all that apply.
120
A. Scalene
B. Isosceles
C. Obtuse
D. Acute
O E. Right
F. Equilateral
Answer:
isosceles, obtuse
Step-by-step explanation:
2 sides are congruent making it an isosceles triangle.
1 angle is obtuse making it an obtuse triangle.
Answer:
obtuse and isosceles
Step-by-step explanation:
obtuse - one of its angles are bigger than 90°
isosceles- the 2 marks show that 2 sides are congruent to one another
Write a quadratic function that has an axis of symmetry of x=7
Answer:
If a function has an axis of symmetry x = a,
Step-by-step explanation:
then f (x) = f (- x + 2a). The following graph is symmetric with respect to the origin. In other words, it can be rotated 180o around the origin without altering the graph. Note that if (x, y) is a point on the graph, then (- x, - y) is also a point on the graph.The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
Q4. An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.
(a) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw
(b) Use the possibility diagram to calculate the probability that the product of the two numbers is
I) A prime number
ii) Not a perfect square iii)
A multiple of 5 iv)
Less than or equal to 21
v) Divisible by 4 or 6
Answer:
B)
1.) 7/64 (2.) 27/32 (3.)15/64 (4.)5/8 (5.)21/32
Step-by-step explanation:
Given the following :
Two 8 - sided fair die (1, 2, 3, 4, 5, 6, 7, 8)
Total sample space = 8^2 = 64
B1)
Probability = (number of required outcome / number of total possible outcomes)
probability of getting a prime number:
number of prime numbers in possibility diagram = 7
1) P(getting a prime number) = 7/64
11) P(not a perfect square)
Not a perfect square values in the diagram = 54
= 54 / 64 = 27 / 32
111) a multiple of 5:
Multiple of 5 in the diagram = 15
= 15 / 64
IV) Less than or equal to 21:
= 40/64 = 5/8
V) divisible by 4 or 6:
Numbers divisible by four or 6 = 42
= 42 / 64 = 21 / 32
Q7 Calculate the volume of a
sphere with diameter of 4.2mm.
Answer: 38.79 cu. mm.
Step-by-step explanation:
Volume = 4/3π x r^3
= 4/3π x 2.1^3
= 4/3 x 22/7 x 9.261
= 38.79
Answer:
38.792 or 38.808
Step-by-step explanation:
Formula for Volume of Sphere = 4 x pi x 1/3 x r cubed
So,
if diameter = 4.2, then radius = 4.2 divided by 2 = 2.1
Now, volume =
4 x 22/7 x 1/3 x 2.1^3 = 38.808
But is you used 3.14 as pi,
then the volume = 38.792
PLEASE HELP. Simplifying question
Answer:
The final answer is-925x+3
Step-by-step explanation:
The problem to solve is:
3-5x10-7x125
Multiply x and 5
Multiply x and 1
The x just gets copied along.
The answer is x
x
5*x evaluates to 5x
Multiply 10 and 5x
Multiply 1 and x
The x just gets copied along.
x
5*x*10 evaluates to 50x
3-5*x*10 evaluates to 3-50x
Multiply x and 7
Multiply x and 1
The x just gets copied along.
The answer is x
x
7*x evaluates to 7x
Multiply 125 and 7x
Multiplying 1 and x
The x just gets copied along.
x
7*x*125 evaluates to 875x
-50x - 875x = -925x
The answer is -925x+3
3-5*x*10-7*x*125 evaluates to -925x+3
The final answer is-925x+3
_______________________________________
The problem to solve is:
15-5x6-7
Multiply x and 5
Multiply x and 1
The x just gets copied along.
The answer is x
x
5*x evaluates to 5x
Multiply 6 and 5x
Multiply 1 and x
The x just gets copied along.
x
5*x*6 evaluates to 30x
15-5*x*6 evaluates to 15-30x
15 - 7 = 8
The answer is 8-30x
15-5*x*6-7 evaluates to 8-30x
The final answer is8-30x
What is a system of equations for the following situation? A group of 14 people went to see a movie. The cost to go to the movie is $12 for an adult and $8 for a child. The total cost for the group was $144.
Answer:
144=12x+8y
x+y=14
Step-by-step explanation:
Answer:
12x + 8 (14 - x ) = $ 144
x + (14-x) = 14
Step-by-step explanation:
Total number of people = 14
Let the number of adults be x and the number of children be ( 14 - x)
Total cost for the group = $144
i.e., 12x + 8 ( 14-x) = 144
12x + 112 - 8x = 144
4x + 112 = 144
4x = 144-112
4x = 32
x = 32/4
x = 8
Number of adults = x = 8
Number of children = 14 - x = 14 - 8 = 6
Hope it helps : )
A flower shop normally orders 18 3/5 pounds of roses each week. The shop is planning on ordering four times as much during the week of Valentine's Day. For how many pounds of roses should the order be?
Answer:
74 2/5 pounds
Step-by-step explanation:
They usually order 18 3/5 pounds of roses.
They want to order 4 times this amount:
4 * 18 3/5
= 4 * 93/5
= 74 2/5 pounds
They should order for 74 2/5 pounds
Ashley and Beth drove from city A to city B in exactly 5 hours, not taking rest stops. Ashley drove up to the area located halfway between the two cities at the average speed of 40 miles per hour and then Beth drove the other half at an average speed of 60 miles per hour. How many hours did Beth drive on their trip?
Answer:
2 hours
Step-by-step explanation:
Time= 5 hrs
Ashley's speed= 40 mph
Beth's speed= 60 mph
Beth's time in travel= x
Since they drove the same distance, we have this equation:
60x=40(5-x)60x=200-40x100x=200x=200/100x=2 hoursI will mark you brainliest! The value of a car decreases by 1/6 every year. What type or function represents this pattern?
Answer:
C
Step-by-step explanation:
When the value of something decreases by a certain factor every unit of time, instead of by a set constant, then this is called exponential decay. When the rate is constant, this is called linear decay. Hope this helps!