Answer:
8 hours
Step-by-step explanation:
Given data
Commission= 5%
Sales= $3,200
Total earnings= $240
Let us find the amount in commission earned
=5/100*3,200
=0.05*3,200
=$160
Hence 240-160=$80
$80 is the amount earned yesterday
we are told that per hour is $10
Hence $80 will be earned for
=80/10
=8 hours
Jayden invests money in an account paying a simple interest of 7.6% per year. If he
invests $100 and no morley will be added or removed from the investment, how
much will he have in one year, in dollars and cents?
Answer:
$107.60
Step-by-step explanation:
100 [1 + (0.076 * 1)] = 107.6
= $107.60
Find the equation to the line below .
Answer:
y = 4x + 1
Step-by-step explanation:
y = mx + b
The line goes thru (0, 1) and (1, 5)
The slope = m = (5 - 1)/ 1 - 0) = 4/1 = 4
The y-intercept is (0, 1), so b = 1
y = 4x + 1 is the equation of the line
A plane is traveling at a constant rate described by d = 525t where d is the distance and t is the time. How long will it take the plane to travel 3150 miles?
Answer:
6 hours
Step-by-step explanation:
Given: A plane is traveling at a constant rate described by d = 525t
where d is the distance and t is the time
We know that ratio of distance upon time = d/t = 525 miles per hour
Therefore, time taken to travel 3150 miles = 3150/525 = 6 hours
What is m∠1? help me please
Answer:
m∠1=111°
Step-by-step explanation:
Since angle 1 is an exterior angle on a straight line, it is the sum of the two outer angles of the triangle.
64+47=111.
Valeria already owns 147 necklaces, and additional necklaces are priced at 2 for a dollar. How
much money does Valeria need to spend on new necklaces in order to own a total of 477
necklaces? Write and solve an equation to find the answer
Answer:
$660
Step-by-step explanation:
Step 1
The number of extra necklaces that valeria needs is calculated as:
477 necklaces - 147 necklaces
= 330 necklaces
Step 2
We are told that
1 extra necklace cost $2
Hence
1 necklace = $2
330 necklaces = x
Cross Multiply
x = 330 × $2
x = $660
Therefore, Valeria need to spend and additional $660
1. A rocket is launched from the top of a 200-foot tall cliff with an initial velocity of 120 feet per second.
The height, h(t), of the rocket at time i seconds after it was launched can be modeled by the equation
h(t) = -16t^2 120t+ 200
a. What was the height of the rocket after 1 second?
b. What is the maximum height of the rocket?
c. How long did it take the rocket to reach its maximum height?
d. How long does it take the rocket to hit the ground?
Answer:
a. 304 feet
b. 425 feet
c. 3.75 seconds
d. It will take the rocket approximately 8.9 seconds to hit the ground
Step-by-step explanation:
1. The given data of the question including the question relationships are listed as follows;
The height of the cliff from which the rocket was launched = 200-ft.
The initial velocity of the rocket, u = 120 feet per second
The equation that models the height of the rocket with respect to time 't' is h(t) = -16·t² + 120·t + 200
a. The height of the rocket after 1 second is given by plugging in t = 1 in the equation that models the height as follows;
h(1) = -16 × (1)² + 120 × (1) + 200 = 304
The height of the rocket after 1 second, h(1) = 304 feet
b. The maximum height can be found by finding the value of the maximum point of the curve of the equation for the height as follows;
At the maximum point, h'(t) = d(-16·t² + 120·t + 200)/dt = 0
∴ d(-16·t² + 120·t + 200)/dt = -32·t + 120 = 0
t = 120/32 = 3.75
At the maximum point, t = 3.75 seconds
The maximum height can also be found by finding the vertex of the parabola formed by the height equation as follows;
At the vertex (the maximum point), t = -b/(2·a) = -120/(2 × (-16)) = 3.75
At the vertex (the maximum point), t = 3.75
The height at the maximum point = h(3.75) = -16 × (3.75)² + 120 × (3.75) + 200 = 425
The height at the maximum point, h(3.75) = 425 feet
c. The time it will take the rocket to reach the maximum point is given by the value of 't' at the maximum point, the vertex, which is t = -b/(2·a) = -120/(2 × (-16)) = 3.75
Therefore;
The time it takes the rocket to reach the maximum point, [tex]t_{max}[/tex] = 3.75 seconds
d. The time it takes the rocket to hit the ground (height h(t)) is given by finding the values of 't' that satisfy the height equation where h(t) = 0 as follows;
At the ground level, h(t) = 0 = -16·t² + 120·t + 200
Therefore, we get;
-16·t² + 120·t + 200 =
t = (-120 ± √(120² - 4×(-16) × 200))/(2 × (-16))
t ≈ 8.9 or t ≈ -1.4
Therefore, the time it takes the rocket to hit the ground is given by the natural number, t ≈ 8.9 seconds.
HELP ASP
A cylindrical soap dispenser has a
diameter of 3 inches and a height of 10
inches.
3 in.
10 in.
Which measurement is closest to the
total surface area of the dispenser in
square inches? (8.1A, 8.1B, 8.1C, 8.1E,
8.1F)
F 203 in.
G 108 in.
H 245 in 2
J
122 in.
Answer:
you can do this have a great day
Step-by-step explanation:
what is the area of a square of 12 and four semicircles. Rounded to the nearest tenths place
Answer:
3.46
Step-by-step explanation:
plz can i get brainliest:)
A jar contains 20 marbles: 6 are brown, 2 are gray, 5 are black, and 7 are white. A black marble is removed and replaced before a gray one is removed.
Answer:
Yes
Step-by-step explanation:
What is the question we need to answer? We got the information
Help I need to find measure of m<E asap.
Answer: ∠E=55°
Step-by-step explanation:
Concept
- In all similar triangles, their corresponding angle will be the same value
- Triangle angle sum theorem: the three interior angles of a triangle add up to 180°
Given
- Two pairs of corresponding angles
- Two similar triangles
Solve
(6x-15)+4x=(5x-1)+4x ⇔ Add the angles up
6x-15=5x-1 ⇔ Subtract 4x on both sides
x-15=-1 ⇔ Substract 5x on both sides
x=14 ⇔ Add 15 on both sides
180-4x-(5x-1) ⇔ Find ∠E by subtracting the other two angles from 180
=180-4(14)-([5(14)-1]
=180-56-69
=55°
Hope this helps!! :)
Please let me know if you have any questions
You and your family go out for dinner. The bill is $146. There is 8.25% tax. Find the total price you will pay for dinner including tax.
Answer:
158.45
Step-by-step explanation:
Answer:
gYou and your family go out for dinner. The bill is $146. There is 8.25% tax. Find the total price you will pay for dinner including tax.
Step-by-step explanation:vYou and your family go out for dinner. The bill is $146. There is 8.25% tax. Find the total price you will pay for dinner including tax.
Describe the graph of this inequality: 2x + 3 > 9
Answer:
Open circle at 3 going to the right.
Step-by-step explanation:
Let’s look at this.
first, let’s simplify the inequality. 2x +3-3>9-3
2x>6
x>3
since this is just a greater than or less than, it will be an open circle.
now that we have established that, we can see that x is BIGGER than 3. In that case, it will be an open circle at 3 going to the right.
choose the inequality that represents the following graph
A. x < 2
B. x ≤ 2
C. x > 2
D. x ≥ 2
Answer:
b po ang tamang sagot
Step-by-step explanation:
i hope its help
Answer:
X > 2
Step-by-step explanation:
Value of x is greater than 2 and the circle is not filled. So. x > 2
What is the probability that you will get “heads” no more than once out of 3 flips?
P(0 successes) + P(1 success) =
Given:
Three coins are tossed.
To find:
The probability that you will get “heads” no more than once out of 3 flips.
Solution:
If three coins are tossed then the sample space is:
[tex]S=\{HHH,HTH,HHT,HTT,THH,TTH,THT,TTT\}[/tex]
Total possible outcomes = 8
Number of 0 successes means 0 heads in 3 flips, i.e., TTT.
Number of 1 successes means exactly 1 heads in 3 flips, i.e., HTT, THT, TTH.
Now,
[tex]P(0\text{ success})=\dfrac{1}{8}[/tex]
[tex]P(1\text{ success})=\dfrac{3}{8}[/tex]
And, their sum is:
[tex]P(0\text{ success})+P(1\text{ success})=\dfrac{1}{8}+\dfrac{3}{8}[/tex]
[tex]P(0\text{ success})+P(1\text{ success})=\dfrac{4}{8}[/tex]
[tex]P(0\text{ success})+P(1\text{ success})=\dfrac{1}{2}[/tex]
Therefore, the probability that you will get “heads” no more than once out of 3 flips is [tex]\dfrac{1}{2}[/tex].
what is the value of p if 2p = 7
Answer:
p = 5
Step-by-step explanation:
think of it like this:
2 + p = 7
They just want you to find what number can replace the letter so the equation makes sense.
can someone pls help me with this question
Answer:
6
Step-by-step explanation:
The x intercept is the value of x when y equals zero. The table tells us that when x goes up by one, y goes down by two.
Knowing this, all we have to do is increase x by 1 and decrease y by two until y is zero, and we can look and see what x is.
I also made a visual in the file below if this is confusing
The probability???????????????
Answer:12/87
Step-by-step explanation: You first have to add up all of the birds present. Then you have to see how many of the type you are looking for is there. The number of the type of bird goes on top of the number of total birds.
Gerard adds weight to the end of the hanging spring
shown.
The spring stretches to length of p centimeters. Gerard
removes some weight and the spring moves up by a
centimeters.
Answer:
p-(-Q)
Step-by-step explanation:
Because the thing goes down and i got it correct for that answer your welcome
Evaluate the expression: (− 8)(15)(− 1/2)
Answer: 60
Step-by-step explanation:
Answer:60
Step-by-step explanation:
((−8)(15) (-1/2) =60
What is the perimeter of the triangle
Answer:
it's 65 because if u count the inside of the boxes u get 65
Answer:
34
Step-by-step explanation:
to get the perimeter you add the side-A with Base-B and Side-C.
The base at the bottom is 10 and the two symmetrical sides is 12.
P= a + b + c
34= 12 + 10 + 12
I need help with this one
Answer:
the pic wont load
Step-by-step explanation: try and upload again
Solve for x in the following equations: -8x -10y = -6 when y = 3
A) -3
B) -6
C) 4
D) -2
Answer:
x = - 3
Step-by-step explanation:
- 8x - 10(3) = - 6
- 8x - 30 = - 6
- 8x - 30 + 30 = - 6 + 30
- 8x = 24
- 8x ÷ - 8 = 24 ÷ - 8
x = - 3
Answer:
the answer is A -3
Step-by-step explanation:
-8x-10y=-6 when y=3
-8x-10(3)=-6
-8x-30=-6
-8x=-6+30
-8x=24
-8x÷8=24÷8
x=-3
The graph of y=f(x) is shown below.which point could be used to find f(3).
-A
-B
-C
-D
Answer:
aa is the repuestos yes ok
Answer:
A
Step-by-step explanation:
A scientist claims that 6% of viruses are airborne. (a) If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8%? Round your answer to four decimal places.
Answer:
Probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8% is 0.9545.
Step-by-step explanation:
For the given population the distribution of air-borne viruses is given as 6%. Now for this the value of Z score is given as
[tex]Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}[/tex]
Here
[tex]\hat{p}[/tex] is the sample measure which is 8% or 0.08p is the population measure which is 6% or 0.06n is the number of samples which is 529So the Z score is given as
[tex]Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}\\Z=\dfrac{0.08-0.06}{\sqrt{\dfrac{0.08(1-0.08)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.08(0.92)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.0736}{529}}}\\Z=\dfrac{0.02}{0.01179}\\Z=1.6955[/tex]
For this the score, the value of probability is calculated from the table as below:
[tex]P(\hat{p}>0.08)=p(Z>1.6955)\\=1-p(Z<-1.6955)[/tex]
Here value of p(Z<-1.6955) is given as 0.0455
[tex]P(\hat{p}>0.08)=p(Z>1.6955)\\P(\hat{p}>0.08)=1-p(Z<-1.6955)\\P(\hat{p}>0.08)=1-0.0455\\P(\hat{p}>0.08)=0.9545[/tex]
I need some help on this question
Answer:
Real numbers have two categories: rational and irrational. If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end.
Step-by-step explanation:
So as to say that irrational numbers can't be a squared root because of there decimals.
If Sally purchases a car for $22,000 with a 5 year loan having a 2.5% interest rate, how much simple
interest will she have to pay on the loan?
A.$2,750.00
B.$19,250.00
C.$24,750.00
D.$275,000.00
Answer this question to get marked as barinliest!!!!
Answer:
60 cubic inches
Step-by-step explanation:
first find the area of the right triangle then multiply by 10 in.
=> (3 × 4 ÷ 2) × 10
=> 60 in.³
good morning!! can someone help?!:)
Answer:
Option A. {-4, 2, 4}
Step-by-step explanation:
There is no other options because none of them are bigger than -5 except Option A.
I’m having a hard time
Answer:
Its the third and fourth answer
a circle has an area of 100 square cm what is the radius and circumference of the circle
Answer:
Radius = 10 cm
Circumference = 20*pi cm
Step-by-step explanation:
Area of a circle = pi * r^2
100 = r^2
10 = r
Circumference = 2*pi*r
2*pi*10
20*pi