Answer:
8.5 = $35,000
2% = $18,000
Step-by-step explanation:
two equations can be derived from the question
x + y = $53,000 equation 1
0.02x + 0.085y = $3,335.00. equation 2
x = amount invested in 2% bond
y = amount invested in 8.5% bond
multiply equation 1 by 0.02
0.02x + 0.02y = 1060 equation 3
subtract equation 2 from 3
0.065y = 2275
y = 35,000
substitute for y in equation 1
53,000 - 35,000 = 18,000
Complete the square 6v^2-12v-18=0 showing work
2
2. This system of equations has : y = -2x
y = -2x + 1
A. One Solution
B. Infinitely Many Solutions
C. No Solutions
Answer:
C. no solutions
Step-by-step explanation:
Both equations have a slope of -2, but have different y-intercepts. Therefore, the graphs of the equations are parallel, but don't coincide, nor do they intersect. So, there are no solutions
Please help.
Determine which lines are parallel and which are perpendicular. Explain your reasoning.
Answer:
Parallel: a and b, p and q, p and r, q and r
PErpendicular: p&a, p&b, q&a, q&b, r&a, r&b
Step-by-step explanation:
Parallel lines have the same slope so both of the lines would be going in the same direction and will never cross each other.
Perpendicular lines cross at a 90 degree angle.
Technically you do not know if q&a and q&b are perpendicular because you do not know if there is a 90 degree angle
Answer:
Parallel lines are equally spaced out in the same direction so it would be p,q, and r, Purpendicular Lines intersect at a 90 degee angle so it would be q and a, q and b, r and b, and r, and so on
Step-by-step explanation:
Find the volume of the prism
Answer:
Step-by-step explanation:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.
Ok. So I need help with this problem that wants me to find the side length of a rectangle. The area of it is 3 sq. ft, and the top of it is 1/7 ft. I need to find the other side of it. Thank you!
What is the value of x?
Answer:
3
Step-by-step explanation:
Distance = Speed & Time
If I increase speed, but hold time constant what happens to
distance? What is this relationship called?
18 is 4.5 times a number.
The value of x is equal to 4, that is 4.5 times 18 is 4
Given that the expression:
18 is equal to 4.5 times a number.
Assume that the number be x.
To find the number that is 4.5 times 18, we can set up the following equation:
4.5 × x = 18
Now, to find the value of x, divide both sides of the equation by 4.5:
4.5 × x / 4.5 = 18 / 4.5
x = 18 / 4.5
x = 4
So, the number that is 4.5 times 18 is 4.
Learn more about Divided here:
https://brainly.com/question/15381501
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Marcus is choosing 4 books to read from a list of 15 books. If order matters, how many ways can he choose to read the books?
4
32,760
23,760
60
Answer:
32,760
Step-by-step explanation:
Given :
Since the order matters, we use the permutation relation :
Recall :
nPr = n! ÷ (n - r)!
n = 15 ; r = 4
15P4 = 15! ÷ (15 - 4)!
15P4 = 15! ÷ 11!
15P4 = (15 * 14 * 13 * 12)
15P4 = 32,760
Find the Volume (look at the picture)
Answer:
V ≈ 263.9 units³
Step-by-step explanation:
The volume (V) of a cone is calculated as
V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )
Here r = 6 and h = 7 , then
V = [tex]\frac{1}{3}[/tex] π × 6² × 7
= [tex]\frac{1}{3}[/tex]π × 36 × 7
= [tex]\frac{1}{3}[/tex]π × 252
= 84 π
≈ 263.9 units³ ( to 1 dec. place )
PLEASE I NEED HELP! I WILL GIVE BRAINLIEST IF YOUR ANSWER IS CLEAR!!!!! ALSO NO LINKS PLEASE!
Answer:
1. How many packages are delivered each hour.
2. Find the correlating variable on the graph.
3. 105 packages
4. If the truck driver delivers 15 packages an hour. Divide 120 by 15 to get 8 hours. 120/15= 8 hours to deliver 120 pqckages.
I WILL GIVE BRAINLIEST PLS HELP!
Melissa and Jaime are playing a game in geometry class. Melissa draws the shape below on plain white paper and has to give Jaime directions to draw a congruent shape.
I. The location of each vertex on a coordinate plane
II. The shape is a triangle. Its two longest sides measure 6 inches and 3√3 inches.
III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches
Which of the following descriptions of Melissa's triangle is adequate for Jaime to draw a congruent shape?
Answer:
III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches
Step-by-step explanation:
It´s lll Because to make a congruent shape one angle should be 90 and the longest side should be 6 inches. one angle should equal angle ELM.
So, by AAS criteria it would be congruent.
---------------------------
hope it helps...
have a great day!!
Answer:
III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches
Step-by-step explanation:
hope it helps you...
The green parallelogram is a dilation of the black parallelogram. What is the scale factor of the dilation?
A) 1/3
B) 1/2
C) 2
D) 3
=============================================================
Explanation:
"The green parallelogram is a dilation of the black parallelogram"
This tells us that the preimage is the black parallelogram and the image is the green one.
In short, the mapping is [tex]\text{black} \to \text{green}[/tex]
The image is smaller than the preimage (green is smaller than black), indicating the scale factor is some value of k such that 0 < k < 1. We can rule out choices C and D because of this.
--------------------
Measuring along the top, we can see that the black parallelogram goes from x = -6 to x = 8. Check out the image shown below where I've marked your given diagram, adding on helpful lines to show this going on.
The number-line distance from x = -6 to x = 8 is 14 units, so the top side of the black parallelogram is 14 units long.
The corresponding top side of the green parallelogram is 7 units long (because it spans from x = -3 and x = 4; as shown in blue in the figure below).
Divide the image length over its corresponding preimage length to get the scale factor.
scale factor = (image length)/(preimage length)
scale factor = 7/14
scale factor = 1/2
which points to choice B as our final answer.
Answer:
THE ANSWER IS C)2
Step-by-step explanation:
I GOT IT WRONG CUZ THIS DUDE ABOVE MEEE
(im big mad)
Daniel placed $2,500 in a one-year time deposit (CD) with a 2.7% annual interest rate. Approximately how much interest will Daniel earn at maturity?
A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sample of 50 students and gives each one a pedometer at the beginning of the school day. They wear the pedometers all day and then return them to her at the end of the school day. From this, she computes the 98% confidence interval for the true mean number of steps students take during the school day to be 8,500 to 10,200. If the teacher had used a 90% confidence interval rather than a 98% confidence interval, what would happen to the width of the interval
Answer:
The answer is "It would decrease, but not necessarily by 8%".
Step-by-step explanation:
They know that width of the confidence level is proportional to a confidence level. As just a result, reducing the confidence level decreases the width of a normal distribution, but not with the amount of variance in the confidence level. As just a result, when a person teaches a 90% standard deviation rather than a 98 percent normal distribution, the width of the duration narrows.
is anyone have the answer to 9,576,984.9874 x 98.84
Answer:
946589196.155
Step-by-step explanation:
Hope that helps
A bag of marbles contains 4 red marbles and 4 green marbles. Each red marble was labeled with a different number, 1 through 4, and each green marble was labeled with a different number, 1 through 4. Which set represents the event, A, that Karen took a marble that was either green or had an even number?
Answer:
I think is b
Step-by-step explanation:
There are 60 boys in the third year, 24 of whom study chemistry. What percentage of third year boys study chemistry.
Answer:
40%
Step-by-step explanation:
24/60 = .4
Answer:
40%
Step-by-step explanation:
Divide the total by the amount possible.
choose all of the points that are solutions to y<3x+2:
A. (0,0)
B. (0,2)
C. (1,4)
D. (1,7)
E. (2,6)
F. (2,8)
Answer:
ACEStep-by-step explanation:
✓ A. (0, 0) [y < 3x + 2 → 0 < 2]
× B. (0, 2) [y < 3x + 2 → 2 < 2]
✓ C. (1, 4) [y < 3x + 2 → 4 < 5]
× D. (1, 7) [y < 3x + 2 → 7 < 5]
✓ E. (2, 6) [y < 3x + 2 → 6 < 8]
× F. (2, 8) [y < 3x + 2 → 8 < 8]
Are these two lines parallel?
y = 3x – 2
X 0 1 2 3
y3 6 9 12
Yes
No .
Answer:
Yes
Step-by-step explanation:
Q8. Look at the image.
Answer:
Option B
Step-by-step explanation:
Quadratic equation given in the question is,
[tex]x^2+4x+2=0[/tex]
By comparing this equation with the standard quadratic equation,
[tex]ax^2+bx+x=0[/tex]
[tex]a=1,b=4[/tex] and [tex]c=2[/tex]
By using quadratic formula to get the roots of the given quadratic equation,
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
By substituting the values of a, b and c in the formula,
[tex]x=\frac{-4\pm\sqrt{4^2-4(1)(2)}}{2(1)}[/tex]
[tex]x=\frac{-4\pm\sqrt{16-8}}{2}[/tex]
[tex]x=\frac{-4\pm\sqrt{8}}{2}[/tex]
[tex]x=\frac{-4-\sqrt{8}}{2},\frac{-4+\sqrt{8}}{2}[/tex]
[tex]x=-3.414,-0.5857[/tex]
[tex]x=-3.41,-0.59[/tex]
Therefore, Option B will be the answer.
The cost for a pool membership for a family at a community pool is $350 plus $125 per month. A family paid a total of $1,350. How many
months did the family use the pool?
a-11
b-14
c-8
d-12
Answer:
The family used the pool for 8 months
Step-by-step explanation:
We know that the family paid a total amount of $1,350 dollars. We also know that they had to pay $350 dollars for joining the community pool. Lastly, they paid a monthly fee of $125 dollars. The value "x" represents months.
With that being said, here's our equation.
350 + 125x = 1,350
Subtract 350 from both sides and you should get this:
125x=1,000
Finally, divide 125 from both sides to get the x value.
x=8
:)
1.99 divided by 3 to the nearest cent.
Answer:
nearest tenth?
Step-by-step explanation:
your answer would be .663
Simplify to the tenth would be make it .7
Need help finding the length of AC
Answer:
I would have to say that the length of AC is 22.5
what is 6 divided by 1/4
Answer:
24
Step-by-step explanation:
6 / 1 / 4 =
6 x 4 =
24
Answer:
6 divided by 1/4 is 24
Step-by-step explanation:
Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for π and round your answers to the nearest hundredth.
Two cylinders. The circumference of the base of cylinder A is 3 meters and the height of the cylinder is 5 meters. The circumference of the base of cylinder B is 5 meters and the height of the cylinder is 3 meters.
Answer:
cylinder A is 141.3 meters
cylinder b is 245.5 meters
Step-by-step explanation:
Cylinder a: 3x3x5x3.14
cylinder B : 5x5x3x3.14
drag each expression to show whether it is equivalent to 3 time times 9 or to 2x3x9
Answer:
The answers to your questions are given below
Step-by-step explanation:
A. 3 × 9 = 27
B. 2 × 3 × 9 = 54
Next, we shall determine which option will give the same result obtained above.
9 × 3 = 27
9 × 3 × 2 = 54
3 × (4 + 5) = 3 × 9 = 27
(2 × 3) × 9 = 6 × 9 = 54
Therefore,
3 × 9 = 27
9 × 3 = 27
3 × (4 + 5) = 27
2 × 3 × 9 = 54
9 × 3 × 2 = 54
(2 × 3) × 9 = 54
SUMMARY
3 × 9 >>>>>>>>> 2 × 3 × 9
9 × 3 >>>>>>>>> 9 × 3 × 2
3 × (4 + 5) >>>>> (2 × 3) × 9
PLEASE HELPPPP
Willa rolls a l-6 cube once.
Part A: What is the probability WIlla rolls a number less than 4?
Part B: Willa then rolls the number cube a total of 25 times. The number 2 results 5 times. What type of probability theoretical or experimental, would be used to show the chances of a number 2 resulting on the next roll? Explain how you know.
Answer:
immma send you the link friend me on here
Step-by-step explanation:
You are playing a game using this spinner. You get one spin on each turn. Provide a probability model.
Answer:
THE ANNOYING ORANGE THE ANOYING ORANGE THE ANNOYING ORANGE THE ANNOYING ORANGE!!!!!!!
Step-by-step explanation:
Answer:
1:4 is the ratio
Step-by-step explanation:
2:8 simplified is 1:4
not sure if this is exactly the right answer but I hope it helps
Please help !!!!!!
Clare is deriving the quadratic formula by solving ax^2+bx+c=0 by completing the square.
She arrived at this equation:
(2ax+b)^2=b^2-4ac
Briefly describe what she needs to do to finish solving for I and then show the steps.
Answer:
Clare starts with:
a*x^2 + b*x + c = 0
And she gets to:
(2*a*x + b)^2 = b^2 - 4*a*c
Now we want to show the final steps to solve the equation (isolating x)
First, we apply the square root to both sides:
[tex]\sqrt{(2*a*x + b)^2} = \sqrt{(b^2 - 4*a*c)}[/tex]
Because the square root has two solutions, (one negative and one positive), we will write:
[tex]2*a*x + b = \pm \sqrt{b^2 - 4*a*c}[/tex]
Now we subtract b in both sides:
[tex](2*a*x + b) - b = \pm \sqrt{b^2 -4*a*c} - b[/tex]
[tex]2*a*x = \pm \sqrt{b^2 -4*a*c} - b[/tex]
Now let's divide by 2*a in both sides:
[tex]2*a*x/(2*a) = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]
[tex]x = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]