Write a word problem for a situation starting with $100 and increasing at 4% per year.
Answer:
Jonny put $100 in his bank account that his grandma gave him for his birthday. If Jonny keeps the $100 in his bank account and doesn't touch it, it will increase 4% every year. How much money will Jonny have in 6 years?
Step-by-step explanation:
Hope this helps!!!
A florist charges $2 for each carnation in a bouquet and a $5 delivery fee. You have $25 to spend. Which of the following equations represents the number of carnations, c, that you can purchase?
A.2c+5=25
B.2c−5=25
C.5c+2=25
D.5c−2=25
Answer:
A. 2c + 5 = 25
Step-by-step explanation:
You have 25 dollars to spend so that's your end amount.
It costs 2 dollars for ever carnation, so it's 2 times the amount of carnations you get, hence 2c.
And it's 5 dollars for the delivery fee which you just add to 2c.
I hope this makes sense :)
A swimming pool is 17.04 metters wide it is didvided into 8 lanes of equal width for swimming laps.How wide is each lane
Answer:
each lanes a width of 2.13 meters
Step-by-step explanation:
Total width of swimming pool = 17.04 meters
Number of lanes the pool is divided into = 8
Now, to find the width of each lane we simply divide the total lane by number of lanes
= 17.04/8 = 2.13 meters
Therefore, each lanes a width of 2.13 meters
f(x) = 6r + 2
g(x) = - 5x - 9
Find the product of F and G.
It costs $12 to enter the fair and $0.50 per ticket for rides. How much total would you spend if you paid admission and bought 70 tickets? plz hurry will mark brainlest
The initial cost is $12 to enter.
Each ticket is $.50
we want to find out how much it costs for 70 tickets so we multiply the cost by the amount;
70 x .50 = 35
Therefor including the entry fee, it would cost $35 + $12
Which is $47
I hope this helps! :)
can (5x)³ be written as 5x³?
Answer:
NO
Step-by-step explanation:
b/c when u say (5x)³ u will multiple 5x 3 times by itself . but when we say 5x³ you will multiple x 3 time . so they are d/t and you can't write 5x³ instade of (5x)³ .
please help it multiple choice.
Answer:
1:2, answer 3
Step-by-step explanation:
Bc if it's being cut in half, that means 2 so the ratio is 1:2.
What is the equation of the line that passes through the point (-6,-3) and has a slope of -1/6?
Answer:
y = (-1/6)x - 4
Step-by-step explanation:
Line equations are usually expressed in the following format:
y = mx + c
Where m is the gradient (slope), and c is the y-intercept.
We can fill in the value of m right away as we are given it in the question:
y = (-1/6)x + c
And we are given the point (-6,-3), so we can fill in the values for x and y, in order to find the value of c:
-3 = (-1/6)(-6) + c
Rearrange and simplify this:
-3 = 1 + c
c = -4
Finally, substitute the value of c back into the original equation to get the final equation of the line:
y = (-1/6)x - 4
How many solutions does 5x 2 7x 4 0 have?
The given equation gives two solution. We can find solution by using quadratic formula or discriminant.
How do you find the number of solutions?A linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c ∈ R. So a and b ≠ 0. When we consider a system of linear equations we can find the number of solutions by comparing the coefficients of the variables of the equations.
How do you find how many solutions are in a quadratic equation?
if the discriminant is positive. Then the quadratic equation has two solutions.
if the discriminant is equal. Then the quadratic equation has one solution.
if the discriminant is negative. Then the quadratic equation has no solution.
Here we have
a=5 b=-7 c=4
Disc= \(b^2\)-4ac
Disc= \((-7)^2\)-4(5)(4)
Disc= 49+80
=129
Disc >0 it has two solutions.
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Complete question is: How many solutions are there for 5x^2+7x-4=0?
a) 0
b) 1
c) 2
d) 3
Because of these two analyses L. Wood and H. Wood had a heated argument about whether they should put their investment into large houses or instead focus on large lots. To settle this debate they enlisted the services of A. Toming, a noted statistical consultant. Dr. Toming decided that their debate could not be settled without doing another analysis. She decided that she needed to control for both house size and lot size in the same analysis because they tend to correlate highly with each other. So she ran a regression analysis that used all the variables that the Woods had collected. Her output is below. If mean sale price is over $200,000, is this a valid model? True/False
Dr. Toming ran a regression analysis to settle the debate between L. Wood and H. Wood about whether to invest in large houses or large lots. She included all variables collected by the Woods and controlled for house size and lot size, which tend to correlate highly with each other. The output showed that the mean sale price is over $200,000. To determine whether this is a valid model, additional information is needed, such as the significance level and the R-squared value. Without this information, it is impossible to determine the validity of the model.
Dr. Toming's regression analysis controlled for both house size and lot size, which is important because they tend to correlate highly with each other. This means that the analysis accounted for the fact that larger houses tend to be on larger lots, and vice versa. However, the mean sale price alone does not provide enough information to determine the validity of the model. Additional information such as the significance level and the R-squared value would be necessary to make a determination.
Without additional information about the significance level and R-squared value, it is impossible to determine the validity of Dr. Toming's regression analysis. While controlling for house size and lot size is important in this case, more information is needed to evaluate the overall effectiveness of the model.
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How far is the point described by the ordered palr (4, 5)
from the x axls?
Answer:
it is 4 units
Step-by-step explanation:
in the coordinates (4,5), 4 represents the x-axis
Which numbers are divisible by 2?
A)635
B)950
C)953
or non of these
Answer:
B
Step-by-step explanation:
950 is an even number.
Please answer ASAP pls (25 Points)
Answer:
\(y=\dfrac{1}{625}\)
Step-by-step explanation:
Given equation:
\(y=\left(\dfrac{1}{5}\right)^x\)
Substitute x = 4 into the given equation:
\(\implies y=\left(\dfrac{1}{5}\right)^4\)
\(\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:\)
\(\implies y=\dfrac{1^4}{5^4}\)
Simplify:
\(\implies y=\dfrac{1\times1\times1\times1}{5\times5\times5\times5}\)
\(\implies y=\dfrac{1}{25\times5\times5}\)
\(\implies y=\dfrac{1}{125\times5}\)
\(\implies y=\dfrac{1}{625}\)
Sam rode a bull for 8 seconds.
Maddie rode a bull for 2 fewer seconds than Sam did.
How long did Maddie ride her bull?
Answer:
is it 7?
Step-by-step explanation:
if he rode for 8 seconds and it says she rode for 2 seconds FEWER are you not subtracting from 8 to get 7?
What is the slope please help
the diameter of an electric cable is normally distributed, with a mean of 0.7 inch and a standard deviation of 0.02 inch. what is the probability that the diameter will exceed 0.72 inch? (you may need to use the standard normal distribution table. round your answer to three decimal places.)
If the diameter of an electric cable is normally distributed, with a mean of 0.7 inch and a standard deviation of 0.02 inch. The probability that the diameter will exceed 0.72 inch is 0.1587.
How to determine the probability?Given data:
Mean = 0.7
Standard deviation = 0.02
Diameter = 0.72 inch
First is to find the z-score
z(0.72) = (0.72-0.70) /0.02
z(0.72) = 0.02 /0.02
z(0.72) = 1
Now let find the probability using the standard normal distribution table
P(x > 0.72) = P(z > 1)
Standard normal distribution table (1, 100)
= 0.1587
Therefore the probability is 0.1587.
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Leo plans to take 24 credit hours of courses during his freshman year of college. Each credit hour costs $350 for in-state tuition. Housing will cost $7,000, and books will cost $800. How much will Leo pay for tuition, housing, and books for his freshman year of college?
Answer:
$16200
Step-by-step explanation:
24 times 350=8400
8400+7000+800
Which of the following inequalities are correct?
Choose all answers that apply:
A 9-5 > 0
B 0 > -9.5
C -9.5 < -9
Question 1 The face of each stone on a walkway was shaped like a trapezoid shown below. What is the area of the trapezoid? Select one: 28 square inches 132 square inches 264 square inches 66 square inches
*figure of the face of each stone is shown on the attachment below
Answer:
66 square inches
Step-by-step explanation:
Area of the trapezoid = ½(a + b) × h
Where,
a = 14 inches
b = 8 inches
h = 6 inches
Plug in the values into the trapezoid area formula
Area of the trapezoid = ½(14 + 8) × 6
= ½(22) × 6
= 11 × 6
Area of the trapezoid = 66 square inches
2) Find the lateral surface area. Round to the nearest tenth.10 points10 in.6 in.8 in.10 in.O 230O 240O 2500 260est tenth10 points
Take into account that the lateral faces are 3, and sum the area of such faces.
The area of the rectagular face is:
A1 = (6 in)(10 in) = 60 in²
The area of the other two rectagles is:
A2 = (8 in)(10 in) = 80 in²
A3 = (10 in)(10 in) = 100 in²
Then, the total surface area is:
AT = A1 + A2 + A3
AT = 60 in² + 80 in² + 100 in²
AT = 240 in²
A result is called "statistically significant" whenever. O The null hypothesis is true. O The significant level a = 0.05. O The p-value Greaterthanorequalto 0.05. O The p-value is less than the significant level.
A result is called "statistically significant" when the p-value is less than the significant level, typically 0.05.
This means that there is less than a 5% chance that the results are due to chance alone, and suggests that there is a real effect present in the data.
The Null Hypothesis is the assumption that there is no significant difference between the measured phenomenon and a certain value or set of values. A statistically significant result means that the observed data are inconsistent with the assumption of no difference, or no effect.
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Please help me
A 3
B 9
C 41
D 1
Answer:
x = 9
Step-by-step explanation:
Opposite sides of a parallelogram are equal.
16x - 15 = 11x + 30 Subtract 11x from both sides
16x - 11x - 15 = 30 Combine the left
5x - 15 = 30 Add 15 to both sides
5x = 30 + 15 Combine the right
5x = 45 Divide by 5
5x/5 = 45/5
x = 9
If the radius of sphere B is five times the radius of sphere A, then the ratio of the volume of sphere B to the volume of sphere A isSelect one:A. 0.008B. 25C. 125D. 5E. 0.2
The ratio of the volume of sphere B to the volume of sphere A is (C) 125 if the radius of sphere B is five times that of sphere A.
The correct option is (C)
What is sphere?A sphere is a three-dimensional object that is round in shape. The sphere is defined in three axes, i.e., x-axis, y-axis and z-axis. This is the main difference between circle and sphere. A sphere does not have any edges or vertices, like other 3D shapes.
The points on the surface of the sphere are equidistant from the center. Hence, the distance between the center and the surface of the sphere are equal at any point. This distance is called the radius of the sphere. Examples of spheres are a ball, a globe, the planets, etc.
Let's take the 2 radii:
x where x is 5.
5x where 5x is 25.
Now, calculate the volume of the sphere in both cases.
We know,
Formula of volume of sphere :
V = 4/3πr²
Where r = 5.
V = 4/3πr²
V = 523.59878
Round off: 524 units²
Where r = 25.
V = 4/3πr²
V = 65449.84695
Rounding off: 65450 units²
Now, divide to find the ratio:
65450/524 = 124.90
Rounding off: 125
Therefore, the ratio of the volume of sphere B to the volume of sphere A is (C) 125 if the radius of sphere B is five times that of sphere A.
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1. A savings account earns 8 % Interest each year, compounded quarterly (4 times a year). If a person Invests $100 and makes no further deposits or withdrawals, what is the balance inthe account after 3 years?hpA
So, the formula that we're going to use is:
Compound interest
A = P(1 + r/n)ⁿˣ
Where
A = amount
P = principal = $100
r = rate = 8% = 8 / 100 = 0.08
x = time
In this case, n=4 since it is being compounded quarterly, so:
The answer is $126.82.
PLEASE HELPP THANKS SIS XOXO Solve each absublute value inequality. 5=|x|+3
Answer:
−1 < x < 4
Hoped this helped ⊂◉‿◉つ
Answer:
x = ±2
Step-by-step explanation:
Move the 3 to the left side of the equation by subtracting it. This way, you get:
2=|x|.
Because x is an absolute value, that means the value of x can be negative or positive. That is why there is a "±" symbol beside the 2 in the answer.
The graph represents this system of equations. A system of equations. y equals 2 x minus 4. y equals 1 minus 3 x. A coordinate grid with 2 lines. The first line passes through (0, 1) and (1, negative 2). The second line passes through (0, 1) and (1, negative 2). What is the solution to the system of equations? (–4, 1) (–2, 1) (1, –4) (1, –2)
Answer:
(1,-2)
Step-by-step explanation
y = -3x + 1
y = 2x - 4
-3x + 1 = 2x - 4
-5x + 1 = -4
-5x = -5
x = 1
y= 2(1) - 4
y = 2 - 4
y = -2
(1,-2)
Answer:
1/2
Step-by-step explanation:
6. What is the circumference of the given circle in terms of m?
Answer:
The answer is 24π because r=12
and c=2πr
=2×π×12
=24π
In the given figure, lines AC and BD intersect each other at point E.
If ∠AEB:∠BEC = 9 : 11, find all the angles.
The value of the angle AED = 99 degree , Angle BEC is 99 degree , angle DEC = 81 degree , angle AEB is 81 degree
What is angle of a Straight Line ?The straight line has an angle of 180 degree.
The two lines AC and BD intersects such that
∠AEB:∠BEC = 9 : 11
Let angle BEC be x
Then
Angle AEB is 9x/11
and angle AEC + BEC = 180 degree
(9x/11) + x = 180
9x +11x = 11 * 180
20x = 11 * 180
x = 99 degree
Angle BEC is 99 degree
and angle AEB is 81 degree
As Angle AED is vertically opposite to angle BEC
Therefore angle AED = 99 degree
As Angle DEC is vertically opposite to angle AEB
Therefore angle DEC = 81 degree.
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Dennis has a bag of counters. The counters are red, green, white and pink.
There are 200 counters in the bag.
The probability of a pink counter is 0.15
The probability of a green counter is 0.25
The probability of a red counter is twice the probability of a white counter.
Calculate the number of red counters in the bag.
Answer:
There are 80 red counters.
Step-by-step explanation:
There are two really great ways to solve this. (Just focus on the one that works for you)
JUST DEAL WITH COUNTERS:
200 × .15 = 30 There are 30 pink counters.
200×.25= 50
There are 50 green counters.
Take away the pink and green.
200 - 30 - 50 = 120
There are 120 red and white counters.
There's twice as many red as white.
2x + x = 120
3x = 120
x = 40
There are 40 white counters.
There are 80 red counters.
OR, WORK WITH PROBABILITIES.
Pk + Grn + R + Wht = 100%
Use decimals, so the 100% is 1.00
.15 + .25 + 2x + x = 1
.4 + 3x = 1
3x = .6
x = .2
The probability of drawing a white counter is .2
The probability of drawing a red counter is .4
200 × .4 = 80
There are 80 red counters.
is a Saturday morning, and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps outside to walk the dog. In 1 hour, the bucket is of the way full. (hint: y = bucket filled, x = time in hours)
the equation of the problem is
\(y=x\)because 1 bucket is full per hour