Answer:
Katherine will receive $23214 to the nearest dollar from both investments.
Step-by-step explanation:
Simple interest = Principal × Time × rate
Le's work out the interest Katherine earns from the two investments.
Money Market Account
Simple interest = 7770 × 5.8/100 × 6/12
= 7770 × 0.058 × 0.5 = $225.33
So, the amount she gets at maturity is:
$7770 + $225.33= $7995.33
CD account
Simple interest = 12500 × 0.0725 × 3 = $2718.75
The amount she receives at the end of period is:
$12500 + $2718.75 = $15218.75
The total amount she receives from both investments at maturity is:
$15218.75 + $7995.33 = $23214.08
This to the nearest dollar is:
= $23214
Answer:
It's C on Edge
Step-by-step explanation:
In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players. Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round. Match each expression or inequality to the quantity that it represents.
Answer:
20 times 4
Step-by-step explanation:
Han's team has 4 players.
A perfect score is the maximum possible score. Each player can score up to 20 points in each round, so 20 points is the maximum score.
If each of the 4 players scores 20 points, then the total score for the team is:
20 *4
That is the expression for the team's points.
Answer: 20*4
Which matrix represents the solution to the system of equations below?
2a+b+c=2
-a+b-C=-4
a-2b+2c= 6
Answer:
A!
Step-by-step explanation:
Edge 2021 :)
The solution to the system of equations is a=2, b=-2 and c=0
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equations are
2a+b+c=2 ...(1)
-a+b-C=-4 ...(2)
a-2b+2c= 6 ...(3)
Isolate a for 2a+b+c=2
a=2-b-c/2
substitute a in equation 2 and 3
-2+b+c/2 -b-c=-4
2-b-c/2-2b+2c=6
(3b-c-2)/2=-4
5b+3c+2/2=6
Isolate b for (3b-c-2)/2=-4
b=c-6/3
By simplification we get a=2, b=-2 and c=0
Hence, the solution to the system of equations is a=2, b=-2 and c=0
To learn more on Equation:
https://brainly.com/question/10413253
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A survey of 100 people found that 35 people exercise in the morning,45 people exercise in the afternoon,and 20 people exercise at night. Tara claims that 35:55,45:80,and 20:65 are possible ratios from this date. Jim claims that 35:100,45:100,and 20:100 are possible ratios from this date. Who is correct? Explain
Answer:
Jim is correct
Step-by-step explanation:
A survey of 100 people found that 35 people exercise in the morning,45 people exercise in the afternoon,and 20 people exercise at night.
People who exercise in the morning = 35
= 35/100 = 7/20
Hence, the ratio is 35:100
People who exercise in the afternoon = 45 = 45/100 = 9/20
the ratio is 45:100
People who exercise at night = 20
= 20/100 = 1/5
= The ratio is 20:100
The possible ratios from this date are : 35:100,45:100,and 20:100
Jim is correct
Rebekah lives on a large, rectangular-shaped property that has a length 500 m and a width of 200 m. If it takes Rebekah 420 s to run the entire perimeter of her property, what is her average speed in meters per second rounded to the nearest hundredth?
Answer:
3.33m/s
Step-by-step explanation:
The perimeter of a rectangle is
= 2(L + W)
L = 500m
W = 200m
= 2(500 + 200)
= 2(700)
= 1400m
If it takes Rebekah 420 s to run the entire perimeter of her property.
Her average speed in meters per second rounded to the nearest hundredth is = Distance/Time
= 1400m/420s
= 3.3333333333 m/s
Approximately = 3.33m/s
A food store makes a 10-pound mixture of peanuts, cashews, and raisins. The mixture has twice as many peanuts as cashews. Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16. How much of each ingredient did the store use to make the mixture?
I know the equations are likely
X = Peanuts
Y = Cashews
Z = Raisins
X + 2Y + 2Z = 16
2Y = X
X + Y + Z = 10
Answer:
The number of pounds peanuts = x = 4 pounds
The number of pounds cashews = y = 2 pounds
The number of pounds raisins be equal to z = 4 pounds
Step-by-step explanation:
The number pounds of the mixture = 10
Let the number of pounds peanuts = x
Let the number of pounds cashews = y
Let the number of pounds raisins be equal to z
Hence,
x + y + z = 10
The mixture has twice as many peanuts as cashews.
2y= x
= 2y + y + z = 10
= 3y + z = 10
z = 10 - 3y
Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16.
x × $1 + y × $2 × z × $2 = $16
x + 2y + 2z = 16......Equation 2
We Substitute.(2y = x), (z = 10 - 3y)
2y + 2y + 2(10 - 3y) = 16
4y + 20 - 6y = 16
20 - 16 = 6y - 4y
4 = 2y
y = 4/2
y = 2 pounds
z = 10 - 3y
z = 10 - 3(2)
z = 10 - 6
z = 4 pounds
2y= x
2(2) = x
x = 4 pounds
How much of each ingredient did the store use to make the mixture?
The number of pounds peanuts = x = 4 pounds
The number of pounds cashews = y = 2 pounds
The number of pounds raisins be equal to z = 4 pounds
is so eassy 2 puls 2
Answer:
4
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
Jack and Jill are saving for their first car. Jack saves $7 for
every $10 Jill saves. If Jill has $350 in her savings account,
then how much has Jack saved?
Answer:
Jack has saved $245.
Step-by-step explanation:
You divide $350 by $10, and you get 35. Then multiply Jack's $7 by 35 and you get $245!
Hope this has helped you! :)
Happy Halloween!~
Franco read of a chapter of his history book in § of an hour. At this rate, how many chapters of his history book
can he read in 1 hour?
Answer:
1 7/8
Step-by-step explanation:
dont know lol but trust me
Please someone help me with this! Math
Answer:
4,1
Step-by-step explanation: Due to the segment only needing a length of 4 units, if you add 4 units to your y, it will get you y=1
Can someone please help me asap I’ll mark brainlist!!!!!
Answer:
No because the aren’t equalll
Step-by-step explanation:
Is this ggod
Answer:
No
Step-by-step explanation:
32/4 = 8
72/10 = 7.2
A cookie contains 9 grams of fat. If you eat no fewer than 4 and no more than 7 cookies, how many grams of fat will you
consume?
compound inequality
Step-by-step explanation:
Since each cookie has 9 grams of fat, four cookies would contain 4*9 = 36 grams of fat.
Also nine cookies has 7*9 = 63 grams of fat.
So the number of grams consumed will be at least 36 and no more than 63.
The number of grams consumed will be; at least 36 and no more than 63.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We have been given that cookie contains 9 grams of fat and eat no fewer than 4 and no more than 7 cookies, then;
Since each cookie has 9 grams of fat, four cookies would be;
4 x 9 = 36 grams of fat.
Also, the nine cookies have 7 x 9 = 63 grams of fat.
Therefore, the number of grams consumed will be; at least 36 and no more than 63.
To learn more about the unitary method, please visit the link given below;
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g(x) = – 2(3x + 4)(x - 1)(x – 3)
Answer:
x1= -4/3, x2= 1, x3= 3
Step-by-step explanation:
Answer:
g(x)-10x
Step-by-step explanation:
g(x)=– 2(3x + 4)(x - 1)(x – 3)
Times two by all in parentheses
g(x)=(-6x-8)(-2x+2)(-2x+6)
Add all common denominators
g(x)=-10x+0
Which leaves us with our answer.
g(x)=-10x
If this was helpful please mark brainliest
A daycare charges $195 per week for each child that attends. There are 51 children that attend each week.
What is the best estimate for the total amount of money the daycare receives each week?
A. $5,000
B. $7,000
C. $10,000
D. $15,000
Answer:
c
Step-by-step explanation:
195 x 51 =9945
estimated = 10,000
Allen's miniature train travels at a rate of 20 meters in 2 minutes. At this rate, how far will the train travel in 10 minutes? *
5 points
10 meters
20 meters
100 meters
200 meters
Is the following equation proportional? y = 6x + 2 *
5 points
Yes
No
(sorry its two questions)
Answer:
100 meters 20/5=100
Not sure about the second one
hope this helps
Step-by-step explanation:
evaluate 24−8x when x=−2
Answer:
8
Step-by-step explanation:
8
A tennis racket normally cots $70. The tennis racket is on sale for 40% off. What is the sale price of the tennis racket?
Answer:
$42
Step-by-step explanation:
Answer:
$42
Step-by-step explanation:
To find the sale price of the tennis racket, multiply the original price by 0.6:
70(0.6)
= 42
So, the sale price of the tennis racket is $42
A package of 4 pairs of insulated socks costs $22.36 . What is the unit price of the pairs of socks ?
Answer:
5.59
Step-by-step explanation:
22.36/4 = 5.59
hope this helps!
It’s so easy I’m just dumb.
What is the slope of the line graphed below? (5,3) (-5,5)
Answer:
3
Step-by-step explanation:
but im not sure
Answer:
m = 4/5 (slope)
_____________________________
y = 4/5x - 1 (slope intercept)(y = mx + b)
- 4x + 5y = - 5 (standard form)(Ax + By = C)
y + 5 = 4/5(x + 5) (point slope)(y - y1 = m(x - x1))
Step-by-step explanation:
All you need to do is remember the equation for slope: m = y2-y1/x2-x1
Where your first point is (x1,y1), and your second point is (x2,y2), and m is slope(rate of change : change in y over change in x).
Your first point starts with the smallest x: (-5,-5), then your second point is the greater x: (5,3)
Then just substitute, and solve:
y2-y1/x2-x1 →
3-(-5)/5-(-5) = 3+5/5+5 = 8/10 = 4/5
Extra information:
point slope:
y-y1 = m(x-x1).
Where (x1,y1) is the first point, (x,y) is the second point, and m is the slope. (note: the second point does not have 2 as a subscript so it can be set to slope intercept(y = mx + b) as an equation. This is because you could be given one point, and a slope, and be told to find the other)
Then just plug the coordinates into the equation, and solve for the equation of this line.
Since we already know what the slope is, we can just solve for the general equation given one point:
y-y1 = m(x-x1)
y+5 = 4/5(x+5). (point slope)
y + 5 = 4/5x + 4
-5 -5
____________
y = 4/5x - 1
(slope intercept)
Given slope, another way to find the y intercept is to multiply the current x coordinate by the slope, and add it to the current y value.
given a point (5,3), and a slope of 4/5. The line will be y = slope × x + (y2 - (m × x2)),
y = 4/5 × x + (3 - (4/5 × 5))
y = 4/5x + (3 - 4)
y = 4/5x - 1
_________
Amanda increased the amount of protein she eats every day from 48g to 54g. by what percentage did Amanda increased the amount of protein she eats
Answer:
6%?
Step-by-step explanation:
It would just be 54-48!
Answer:
12.5
Step-by-step explanation:
Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6. Write and solve an equation to find the number, x.
What is the number?
plssssssssssssssss
Laura needs to buy chips and soda for the guest at her party. Each large bag of chips cost 2.40 and each large bottle of soda costs 2.00. She had 48.00 to spend. Which graph represents the number of bags of chips and bottles of soda that Laura can buy?
Answer:
A. Bags of chips and bottleof soda
What is the equation for this line?
Answer:
The equation of the line is y = 2x - 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the line, [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept (value y at x = 0)Let us take two points on the line to find its equation
∵ Points (3, 3) and (0, -3) lie on the line
∴ x1 = 3 and y1 = 3
∴ x2 = 0 and y2 = -3
→ Use the rule of the slope above to find m
∵ [tex]m=\frac{-3-3}{0-3}=\frac{-6}{-3}=2[/tex]
∴ m = 2
→ Substitute its value in the form of the equation above
∴ y = 2x + b
∵ b is the value of y at x = 0
∵ y = -3 at x = 0
∴ b = -3
→ Substitute it in the equation above
∴ y = 2x + -3
→ Remember (+)(-) = (-)
∴ y = 2x - 3
∴ The equation of the line is y = 2x - 3
HELP AGLEBRA 2 LOTS OF POINTS
I need help on this Exponent rules maze, please show your work so I can understand what I did wrong
Step-by-step explanation:
7. Write a 4 digit number that is divisible by 2, 3, and 6.
Answer:the answer is 9998.
Step-by-step explanation:
The largest 4 digit number divisible by 2 . The number should be divisible by 2 or multiple of it. So the largest 4 digit number is 9999 it is not divisible by 2 so the earlier number 9998 can be considered so as it is divisible by 2. It is the answer is 9998.
Answer:
1008 is the correct answer (i think)
Step-by-step explanation:
1008/2 is 504
1008/3 is 336
1008/6 is 168
hope this helps!
Which expression is equivalent to x−2y ?
Answer:
-2y+x
Step-by-step explanation:
x-2y
-2y+x
Answer:
x+2y+x+2
=2x+2y+2
=2(x+y+1)
Step-by-step explanation:
i hope its right
Write and equation for a line perpendicular to 3y+15x=-12 and passing through the point (5,6)
Step-by-step explanation:
I am not sure sorry for doing it Innist need points
EXPLAIN HOW YOU GOT 3 AND 4 WITH STEPS PLS ITS URGENT
Answer:
2. x=25°
3. x=15°
4. x=26°
Step-by-step explanation:
For problem 2, we know the sum of the angles of a triangle is 180°. Also, supplementary angles are 180°.
30+20+x=180 [combine like terms]
50+x=180 [subtract both sides by 50]
x=130
Now that we have the missing angle, we can use that to solve for x.
2x+130=180 [subtract both sides by 130]
2x=50 [divide both sides by 2]
x=25°
Now, we know that x=25°.
For problem 3, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.
8x+25+2x+5=180 [combine like terms]
10x+30=180 [subtract both sides by 30]
10x=150 [divide both sides by 10]
x=15°
Now, we know that x=15°.
For problem 4, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.
x+12+52+90=180 [combine like terms]
x+154=180 [subtract both sides by 154]
x=26°
Now, we know that x=26°.
Answer:
3. x = 5 4. x = 26
Step-by-step explanation:
3.
(2x + 5) + 8x + 25 = 180
10x +30 = 180
10x = 150
x = 15
4.
52 + 90 + x+12 = 180
52 + 90 + 12 = 142
x + 142 = 180
x = 180 - 154
x = 26
Activity
An atom consists of electrons, protons, and neutrons. Each electron has a charge of -1, each proton has a charge of +1, and each neutron has no charge. If 3 electrons are removed from each of 4 atoms, what is the combined net change to the charge of the 4 atoms? Complete the steps below to solve this problem and others like it.
Part A
Three electrons are removed from each of 4 atoms. Write an expression to represent the net change on the charge for the group of atoms.
Part B
Simplify the expression obtained in part A and explain what the answer represents.
Part C
Here’s a similar problem. Write an expression for the net change in charge if two electrons are added to each of six atoms in a group. Also, write an expression that represents removing two protons each from a group of six atoms.
Part D
Simplify the two expressions in part C.
Part E
How are the two products in part D related?
Part F
Think about multiplying any two rational numbers. Based on this activity and your previous work, write a set of rules for finding the sign of the product based on the sign of the two numbers being multiplied.
Answer:
Step-by-step explanation:
A: The charge of each electron is -1, so the charge of three electrons is -3. Removing something is denoted by a negative sign. The expression that represents the removal of three electrons from each of four atoms is (-3)(-4).
B: (-3)(-4) = (-1)(3)(-1)(4) = (-1)(-1)(3)(4) = 12
The net change in the charge for the group of atoms is 12 (or +12); that is, the charge of the atoms increases by 12.
C: Adding two electrons to each of six atoms results in a net change in charge of (-2)(6). Removing two protons from each of six atoms results in a net change in charge of (2)(-6).
D: (-2)(6) = (-1)(2)(6) = (-1)(12) = -12
(2)(-6) = (2)(6)(-1) = (12)(-1) = -12
E: The products are the same: -12.
F: If the signs of the numbers are the same, the product is positive. If the signs of the numbers are different, the product is negative.
Answer:
A)
The charge of each electron is -1, so the charge of three electrons is -3. Removing something is denoted by a negative sign. The expression that represents the removal of three electrons from each of four atoms is (-3)(-4).
B)
(-3)(-4) = (-1)(3)(-1)(4) = (-1)(-1)(3)(4) = 12
The net change in the charge for the group of atoms is 12 (or +12); that is, the charge of the atoms increases by 12.
C)
Adding two electrons to each of six atoms results in a net change in charge of (-2)(6). Removing two protons from each of six atoms results in a net change in charge of (2)(-6).
D)
(-2)(6) = (-1)(2)(6) = (-1)(12) = -12
(2)(-6) = (2)(6)(-1) = (12)(-1) = -12
E)
The products are the same: -12.
F)
If the signs of the numbers are the same, the product is positive. If the signs of the numbers are different, the product is negative.
solved it on edmentum <3
Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down, what are the coordinates of the image?
Answer:
The coordinates of the image of point A are (-1, -6)
Step-by-step explanation:
Let us revise the rule of translation to the left, down, and reflection across the x-axis
If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)∵ The coordinates of point A are (3, 4)
∵ It is translated 4 units left
∴ h = 4
→ By using the 1st rule above
∴ Its image is (3 - 4, 4)
∴ Its image is (-1, 4)
∵ Its is reflected across the x-axis
→ By using the 3rd rule above change the sign of its y-coordinate
∴ The new image is (-1, -4)
∵ It is translated 2 units down
∴ k = 2
→ By using the 2nd rule above
∴ The final image is (-1, -4 - 2)
∴ The final image is (-1, -6)
∴ The coordinates of the image of point A are (-1, -6).
The price of a gallon of unleaded gas has risen to $2.86 today. Yesterday's price was $2.81. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
1.8%
Step-by-step explanation:
2.86-2.81 = .05 (find the difference between the two numbers)
2.81 / .05= .017 (divide the original number)
Multiply 100 to get a percentage
1.8% (rounding to the nearest tenth)