Answer:
$2696.63
Explanation:
The future value A and the present value P are related by the following equation
A = P(1 + rt)
Where r is the interest rate and t is the time.
Now, we need to convert 9 months to years as follows
9 months x 1 year / 12 months = 0.75 years
Then, replacing A = 3000, r = 15% = 0.15 and t = 0.75, we get:
3000 = P(1 + 0.15(0.75))
3000 = P(1 + 0.1125)
3000 = P(1.1125)
Now, we can solve for P
P = 3000/1.1125
P = 2696.63
Therefore, the present value is $2696.63
What are the rational numbers between 2 & 3
Answer:
The rational numbers between 2 & 3 include:
1. 4120
2. 4220
3. 4320
4. 4420
5. 4520
6. 4620
7. 4720
8. 4820
9. 4920
10. 5020
Step-by-step explanation:
May I have Brainliest please? I am so close to getting my next ranking! I just need 1 more to become an ACE!! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
solve the equation A-X=B-A for X.
Answer:
X= -B+2A
Step-by-step explanation:
Hope this helps and sorry if I'm wrong
-3x plus 12y equivalent expressions
The equivalent expression for -3x + 12y is 3 (-x + 4y).
What are expressions?Expressions include a statement, at least one arithmetic operation, and at least two numbers or variables.
Given equation:
-3x + 12y
Take 3 as common from both the term, and we get,
= 3 (-x + 4y) so the equivalent expression will be 3(-x + 4y).
Therefore, the equivalent expression for -3x + 12y is 3 (-x + 4y).
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A person is riding a 14 kg bike at velocity of 18m/s. The mass of the person is 60kg. What is the momentum of the person and the bike?
The momentum of the person is zero and the momentum of the bike is 1332.
A person is riding a 14 kg bike at velocity of 18m/s
The momentum of bike = mass x velocity
p = (14 + 60) 18
= 1332
The velocity of the person with respect to the bike is 0
p = mv
p = 60 x 0
p = 0
Therefore, the momentum of the person is zero and the momentum of the bike is 1332.
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Maria spends $22 dollars on lottery tickets every week. shen also spends $133 per month on food. On an (annual) basis ,the money spent on lottery tickets is what percent of the money spent to buy food?
Maria spends $22 on lottery tickets every week and $133 every month on food yearly
This means that in a year
there are 52 weeks and she spends 22 x 52 = $1,144 on Lottery tickets
and there are 12 months in a year, so she spends 133 x 12 = $1,596 on food
The money spent to buy lottery tickets in relation to the money spent on food yearly in percentage is
[tex]\begin{gathered} \frac{1144}{1596}\times100 \\ =71.68\text{ percent approximately} \end{gathered}[/tex]Write an equation in the form y mx for the Heartbeats to Time proportional relationship shown below. Time over heartbeats
To determine the required slope intercept form, take the heartbeat as varible y and time as varible x.
Now select any two coordinates from the table.
Take (2,3) and (4,6).
Use the two point form,
[tex]\begin{gathered} \frac{y-3}{x-2}=\frac{6-3}{4-2} \\ 2(y-3)=3(x-2) \\ 2y-6=3x-6 \\ 2y=3x \\ y=\frac{3}{2}x \end{gathered}[/tex]Thus, y=1.5x is the requried form of the line.
What is the value of x?
Answer:
75 degree
Step-by-step explanation:
We know that a straight angle is 180 degree
and in the picture we can see an angle of 105 degree
so we get 180-105= 75 degree
Can someone please help me?
Part A) The definition of speed can be used to establish the equation of the line that depicts the relationship between distance and time, which is (y = 62x).
Part B) Option c
What is a speed, exactly?
Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path.
Given:
In 3 hours and 186 miles, Car X goes.
To find the equation of the line that represents the relationship between distance and time, perform the following steps:
Step 1: Assume that car X traveled a total distance of y miles and traveled that amount in x minutes.
Step 2: The speed is determined by the distance to time ratio.
speed = distance / time
Step 3: Add the distance and time values to the equation above.
Speed = y/x —— (1) (1)
Step 4 - Based on the provided information, the speed is determined by:
speed = 186/3 = 62
Step 5: Adding the speed value to the equation (1).
y/x = 62
y = 62x
(Y = 62x) is the equation of the line that depicts the relationship between space and time.
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Graph the equation on a coordinate grid:y=-1/2x
In this case you have a linear equation of the form:
y=mx+b
To graph a line we only need to specify two points of the line and then join them.
b the intercept is zero in this case, and the slope of your line is -1/2. Since the intercept is zero, this means that the line crosses the origin, so the point (0,0) is included in the line, to find other poin of the line we just have to replace a value of x and calculate the value of y, for example let's take x equals 2.
[tex]y(2)=-\frac{1}{2}2=-\frac{2}{2}=-1[/tex]Now, we know that the line crosses the points (0,0) and (2,-1), let's graph them.
8. Lori bought a shirt and a hat at a half-off sale.
If she spent a total of $21 on the two items,
what was the original price of the hat?
Answer:
the hat cost 18
Step-by-step explanation:
if the shirt is 24 half the price of the shirt is 12 so 21-12= 9 which is the price of the hat discounted.
The original price of the hat is 18 because 9 x 2 = 18
A 4500 square foot roll of plastic wrap costs $23.95. If 120 square feet is need for a party game, what is the monetary value of that 120 square foot piece of plastic wrap? Interpret the answer.
120 square feet of plastic wrap costs $0.64.
64 square feet of plastic wrap costs 1.20.
Plastic wrap costs $0.64 per square foot.
$0.64 is the cost of plastic wrap.
Monetary value of 120 square foot piece of plastic wrap is $0.64
Direct variation means when ratio of two variable say cost and item always remains same.
example if cost of 2 pen is $1
then it will cost $2 for 4 pens
Given :
A 4500 square foot roll of plastic wrap costs $23.95
we have to find cost of 120 square foot roll of plastic for party game
Cost of 4500 square foot roll = $23.95
Cost of 1 square foot roll = [tex]\frac{23.95}{4500}[/tex]
= $0.00532
Cost of 120 square foot long roll = cost of 1 square foot roll × 120
= 0.00532 × 120
=0.63833
rounding off
$0.64 is cost of 120 square foot long plastic roll
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you want to bake 3 apple pies to bring to your Thanksgiving meal. the apple pie recipe calls for 3 1/2 cups of diced apples. you know that 1 apple can yield between 0.6 and 0.8 cup of apples. how cups of diced apples do you need?
pls help me
PLEASE I NEED HELP RIGHT AWAY
What is the equation in point-slope form of the line that passes through the points (7, 5) and (−4, −1) ?
Responses
y+4=11/6(x+1)
=
y+1=6/11(x+4)
y−1=6/11(x−4)
y+1=6/7(x+4)
y+1=6/11(x+4) is the equation in point-slope form of the line that passes through the points (7, 5) and (−4, −1).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points are (7, 5) and (−4, −1)
m=-1-5/-4-7
=-6/-11
=6/11
The point slope intercept form is y- y₁=m(x-x₁) through (-4,-1)
y-(-1)=6/11(x-(-4))
y+1=6/11(x+4)
Hence, y+1=6/11(x+4) is the equation in point-slope form of the line that passes through the points (7, 5) and (−4, −1).
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Given the slope and y-intercept of the line, write the equation in slope-intercept form. Slope = -2/5 and y-intercept = 3
Answer:
Below
Step-by-step explanation:
Slope-y-axis -intercept form is y = mx + b
y = - 2/5 x + 3 Done.
Which of the following notations correctly describe the end behavior of the polynomial graph below?
The end behaviour of the polynomial graph is (b) x ⇒ +∝, f(x) ⇒ -∝ and x ⇒ -∝, f(x) ⇒ -∝
How to determine the end behaviour of the polynomial graph?The polynomial graph represents the given parameter
This polynomial graph is a quadratic function opened downwards
Polynomial function of this form have the following end behaviour:
As x increases, f(x) decreasesAs x decreases, f(x) decreasesThis is represented as
x ⇒ +∝, f(x) ⇒ -∝ and x ⇒ -∝, f(x) ⇒ -∝
Hence, the end behaviour is (b)
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Please help me with this I do not understand. I did the steps but am really looking for the answer if you could help.
ANSWER :
The zeros are 1/2 and -5
EXPLANATION :
From the problem, we have the function :
[tex]f(x)=2x^2+9x-5[/tex]The zeros of the function are the values of x when f(x) = 0
[tex]2x^2+9x-5=0[/tex]Using quadratic formula with a = 2, b = 9 and c = -5
[tex]\begin{gathered} x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ \\ x=\frac{-9\pm\sqrt{9^2-4(2)(-5)}}{2(2)} \\ \\ x=\frac{-9\pm\sqrt{81+40}}{4} \\ \\ x=\frac{-9\pm\sqrt{121}}{4} \\ \\ x=\frac{-9\pm11}{4} \\ \\ x=\frac{-9+11}{4}=\frac{1}{2} \\ \\ x=\frac{-9-11}{4}=-5 \end{gathered}[/tex]Write an equation in slope-Intercept form for the line with y-intercept -4 and slope
-1/5
Answer:
y=-1/5x-4
Step-by-step explanation:
just use y=mx+b formula, slope always goes for m and y intercept for b
The area of a square is 100 square centimetres. Calculate the perimeter of the square
Answer:
40
Step-by-step explanation:
p=40
that's what the answer is if you don't believe me than look it up
Answer:
40 cm
Step-by-step explanation:
1. If its a square all sides are the same
2. Area is a side multiplied by the other side, l * w - so if we square root 100 we get 10.
10 is one side - and since each side of 4 is 10 - we can do 10*4 and get 40.
40 centimeters.
(2x²+4-5x)-(-8x+2+x²) is a what kind of polynomial
Answer:
The degree of the polynomial is the greatest of its various terms' exponents (powers). This is a seconds degree polynomial.
Step-by-step explanation:
2x^2 - 3x^5 + 5x^6.
We observe that the above polynomial has three terms. Here the first term is 2x^2, the second term is -3x^5 and the third term is 5x^6.
Now we will determine the exponent of each term.
(i) the exponent of the first term 2x^2 = 2
(ii) the exponent of the second term 3x^5 = 5
(iii) the exponent of the third term 5x^6 = 6
Since the greatest exponent is 6, the degree of 2x^2 - 3x^5 + 5x^6 is also 6.
Therefore, the degree of the polynomial 2x^2 - 3x^5 + 5x^6 = 6.
Easy peasy, hope you understand now.
Find an expression which represents the sum of (-6x + 6) and (-3x – 7) insimplest terms.
Given an expression of (-6x +6) and (-3x - 7)
[tex]\text{The sum of the expression (-6x +6) and (-3x -7)}[/tex][tex]\begin{gathered} -6x\text{ + 6 + -3x -7 } \\ \text{collecting like terms} \\ -6x\text{ -3x + 6 - 7 } \\ -9x\text{ - 1} \end{gathered}[/tex]Hence the solution to the above expression is
[tex]-9x\text{ - 1}[/tex]Which of the following expressions is equivalent to the one shown below?(-5.4)How do I solve this and what’s the answer ?
Option B
Using the law of indices
[tex]undefined[/tex]19. highlight where values show g(x) = 0 and what is the answer20. highlight where values show f(x) > g(x) and what is the answer
19) g(x)=0 is the value of x at points where the line cuts the x-axis
From the graph that is at:
x=-7, x=1, x=3, and x=9
20) f(x)>g(x) where the curve f(x) is higher than the curve g(x), and this is at:
x<-3, 07
On a cold day in new york, a street vendor sold 35 cups of hot chocolate and her entire stock of hot cider. if the ratio of cider to hot chocolate is 8:5, how many cups of cider did she sell?
Using the concept of ratio and proportion, the vendor sold 56 cups of hot cider.
How does a ratio operate?The word "proportion" often denotes a portion, share, or sum that is in comparison to a whole. Two ratios are in proportion when they are equal, according to the proportional idea. When an equation or a statement to that effect is used, two ratios or fractions are equal.
Define ratio.A percentage is a mathematical comparison of two numbers. In terms of proportion, two sets of given numbers are said to rise or decrease in the same ratio if they are directly proportionate to one another.
Cider supplied by the street seller for value = x for 35
= x/35
The cider's ratio is 8:5,
x/35 :: 8:5,
x = [35(8)]/ 5
=56.
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Write the equation of a sine function given the following key features:
Key Features
Amplitude: 3
Period: 3pi
Phase Shift: pi/8
Vertical Shift: -2
The equation of a sine function given in accordance with the given specifications is y = 3sin[(2/3)x + π/8) - 2.
What are trigonometric functions?The trigonometric functions (also called circular functions, angle functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Given is the following specifications for a sine wave -
Amplitude: 3
Period: 3π
Phase Shift: π/8
Vertical Shift: -2
The general equation for sine wave is -
y = A sin(ωx + Ф) + k
Now, we know -
ω = 2π/T
ω = 2π/3π
ω = 2/3
And -
A = 3
Ф = π/8
k = - 2
y = 3sin[(2/3)x + π/8) - 2
Therefore, the equation of a sine function given in accordance with the given specifications is y = 3sin[(2/3)x + π/8) - 2.
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You used `14` ounces of cheese to make `2` pizzas.
How much cheese do you need for `3` pizzas?
Answer:
You need 21 ounces of cheese for 3 pizzas.
Step-by-step explanation:
If you use 14oz for 2 pizzas, then if you divide it by 2, you have 7oz for 1 pizza.
Now multiply by 3 to get 21oz for 3 pizzas.
write the number in scientific notation0.000471
Given the number :
[tex]0.000471[/tex]The scientific notation is a method to the write the numbers as two parts
The first part is the number as between 1 and 9
the second part as 10 to powers
so,
[tex]0.000471=\frac{471}{100000}=\frac{471}{10}\cdot\frac{1}{10000}=4.71\cdot10^{-4}[/tex]
Question
Solve for x.
5(x−225)=−5.2
Enter your answer as a decimal or simplified mixed number in the box.
x =
Answer:
x=223.96
Step-by-step explanation:
Answer as a decimal: x=223.96
Answer as a fraction: x= 223 24/25
Let's solve this equation step-by-step!
5(x−225)=−5.2
Step 1: Simplify both sides of the equation.
5(x−225)=−5.2
(5)(x)+(5)(−225)=−5.2 (Distribute)
5x+−1125=−5.2
5x−1125=−5.2
Step 2: Add 1125 to both sides.
5x−1125+1125=−5.2+1125
5x=1119.8
Step 3: Divide both sides by 5.
5x/5=1119.8/5
x=223.96
Finding the final amount in a world power problem on a compound interest
Using the compound interest formula, we have:
[tex]FV=2000(1+\frac{0.12}{2})^{6\cdot2}[/tex][tex]FV=2000(1.06)^{12}[/tex][tex]FV\approx4024.39[/tex]Out of 20 attempts a basket ball player only scored 8 times what percent of his chances did he score?
Answer:
40%
Step-by-step explanation:
20 x 5 = 100
8 x 5 = 40
Which means 8 out of 20 is 40% of 20.
In a proof what is the reason that justifies this statement:
Segment BP is congruent to segment BP.
Answer: I believe that the BP segment is equal to BP segment because of the reflexive property.
Step-by-step explanation:
The required reason is that segment BP is congruent to segment BP that Segment BP is the common side among both triangles.
In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
Here,
The necessary explanation is that segment BP and segment BP are congruent because segment BP is the common side of both triangles BPS and BPY, as shown in the figure.
Thus, the required reason is that segment BP is congruent to segment BP and that Segment BP is the common side among both triangles.
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