Answer:
c) $22.50
Explanation:
1. Calculate the monthly interest owed during year 1
Interest for first year: 8%The monthly rate is the yearly rate divided by 12: 8% / 12 = 0.08/12The monthly interest owed is the monthly rate times the balance: (0.08/12)×$1,800 = $12.002. Calculate the monthly interest owed during year 2
Interest for second year: 23%The montly rate is the yearly rate divided by 12: 23% / 12 = 0.23/12The monthly interest owed is the monthly rate times the balance: (0.23/12)×$1,800 = $34.50
3. Calculate the difference
Difference in the monthly interest owed during year 1 and year 2 = $34.50 - $12.00 = $22.50Hence, the answer is the option c) $22.50
How many terms are in the algebraic expression Negative 7 + 12 x 4 minus 5 y 8 + x?
Answer:
Therefore,
There are Four i.e 4 terms in the expression,
[tex]-7+12x^{4}-5y^{8}+x[/tex]
Step-by-step explanation:
Algebraic Expression:
An algebraic expression is a mathematical expression that consists of variables, numbers and operations.
Variables with the coefficient is called as Term.Number is also a term.Here the Expression is
[tex]-7+12x^{4}-5y^{8}+x[/tex]
So,
[tex]-7 = One\ Term\\12x^{4}=Second\ Term\\-5y^{8}=Third\ Term\\x=Fourth\ Term[/tex]
In all there are Four i.e 4 terms in the given expressions.
Therefore,
There are Four i.e 4 terms in the expression,
[tex]-7+12x^{4}-5y^{8}+x[/tex]
4 is the answer and no explanation
hope this helps and on edgenuity it is D
The graph shows the amount of money paid when purchasing bags of peanuts at the zoo: What is the constant of proportionality? (4 points) Select one: a. 1 b. 4 c. d.
Answer:
The constant of proportionality is equal to 4
Step-by-step explanation:
The picture of the question in the attached figure
Let
y ----> the total cost in dollars
x ----> the number of bags of peanuts
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
To find out the constant of proportionality, we need to take one point from the graph
take the point (1,4)
Find the value of k
[tex]k=\frac{y}{x}[/tex]
substitute the value of x and the value of y
[tex]k=\frac{4}{1}=\$4\ per bag[/tex]
Answer:
4
Step-by-step explanation:
How to solve fractions with different denominators
Step-by-step explanation:
To solve such fractions you need to make their denominators equal. For example:
[tex] \frac{5}{6} + \frac{4}{7} = \frac{5 \times 7 + 4 \times 6}{6 \times 7} = \frac{35 + 24}{42} \\ = \frac{59}{42} \\ [/tex]
what is the volume of the cylinder if the height is 2x+7 and the radius is x-3
Answer:
Therefore the volume of the cylinder[tex]=\pi(2x^3-5x^2-24x+63)[/tex] cubic units
Step-by-step explanation:
Given height of a cylinder is (h) =2x+7
and radius (r)= x-3
Volume of the cylinder = [tex]\pi r^2 h[/tex]
[tex]=\pi (x-3)^2(2x+7)[/tex]
[tex]=\pi (x^2-6x+9)(2x+7)[/tex]
[tex]=\pi (2x^3-12x^2+18x+7x^2-42x+63)[/tex]
[tex]=\pi(2x^3-5x^2-24x+63)[/tex] cubic units
Therefore the volume of the cylinder[tex]=\pi(2x^3-5x^2-24x+63)[/tex] cubic units
Robins eat 12 worms in the morning on an average sunny day. On rainy days, robins average 4 fewer worms per morning. Last week, there were 3 sunny days and 4 rainy days. How many worms did a robin eat that week?
Answer:
i think it is 68
Step-by-step explanation:
12 x 3 = 36
8 x 4 = 32
36 + 32 = 68
The relationship between the amount of time a zebra run at maximum speed in the distance it covers is shown.
Write an equation to describe this relationship.
Use the equation to find the distance the zebra would travel in 48 minutes.
Answer:
72 minutes in 48 hours.
Step-by-step explanation:
You have to do 8 times six.
Which graph below shows the solution for the linear inequality y>-1/3x+1
Answer:
no graphs r shown...
Step-by-step explanation:
up 1 on y axis then up one for every 3 xs
What percent if $6 equals $3
Answer:
50%
Step-by-step explanation:
50% is half. Half of 6 is 3. 3 dollars.
PWEASE HELP ASAP my friends and I cant figure this out I'm hoping one of u guys can
The number of viruses was 4000 times greater than number of protozoa.
Step-by-step explanation:
Given,
Number of protozoa = [tex]5*10^5[/tex]
Number of viruses = [tex]2*10^9[/tex]
Let,
x be the number of times number of viruses is greater than number of protozoa.
Number of viruses = Number of time * Number of protozoa
[tex]2*10^9=(5*10^5)x[/tex]
Dividing both sides by [tex]5*10^5[/tex]
[tex]\frac{2*10^9}{5*10^5}=\frac{(5*10^5)x}{5*10^5}\\\\4*10^3= x\\x=4*10^3 \\x=4000[/tex]
The number of viruses was 4000 times greater than number of protozoa.
Keywords: division, scientific notation
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Puppy A weighs 8 pounds which is about 25% of its adult weight what will be the adult weight of a puppy A
Answer:
Step-by-step explanation:
Let x be the adult weight of a puppy A
25% of x = 8 pounds
[tex]\frac{25}{100}*x=8\\\\ x=\frac{8*100}{25}\\\\ =8*4=32pounds\\[/tex]
Final answer:
To calculate the adult weight of Puppy A, divide the current weight of 8 pounds by 0.25 since 8 pounds is 25% of the adult weight. The adult weight of Puppy A is 32 pounds.
Explanation:
The student is asking how to find the adult weight of Puppy A, given that its current weight is 25% of its adult weight. To solve this, we need to use the concept of percentages. If Puppy A currently weighs 8 pounds and this represents 25% of the adult weight, we can set up a proportion:
25% (current weight) / 100% (adult weight) = 8 pounds / adult weight
To find the adult weight, we divide 8 pounds by 25% (0.25 in decimal form):
Adult weight = 8 pounds / 0.25
Adult weight = 32 pounds
Therefore, the adult weight of Puppy A is expected to be 32 pounds.
a) Write down your full calculator display.
b) Write your answer to part (a) correct to 2 decimal places.
Please I need help
The first person to answer correctly will be the brainliest. Please help I’m desperate.
Answer:
-1, -3/4, -5/8, -1/20, 0
Step-by-step explanation:
-1/20 = -2/40
-5/8 = -25/40
-3/4 = -30/40
0 = 0/40
-1 = -40/40
What is the answer and step by step equations of 6=a/4 +2
Answer:
Step-by-step explanation:
Try photomath
Answer:
a= 16
Step-by-step explanation:
6 = a/4 + 2
6 - 2 = a/4
4 = a/4
a= 16
Daniella is drawing plans for a garden, measured in feet, which is shown below on the coordinate plane. Daniella has two vertices of the garden at points (Negative3, Negative 1) and (4, Negative 1). On a coordinate plane, points (negative 3, negative 1) and (4, negative 1) are plotted. At which points should Daniella have the other two vertices in order to make the area of her garden 35 square feet? (Negative 3, 1) and (4, 1) (Negative 3, 2) and (4, 2) (Negative 3, 3) and (4, 3) (Negative 3, 4) and (4, 4)
Answer:
d
Step-by-step explanation:
We know that the length of the garden is 4 - (-3) = 7 feet, the answer is (Negative 3, 5) and (4, 5).
What are vertices?A vertex is a point in geometry where two or more curves, lines, or edges intersect.
As a result of this definition, vertices are the points where two lines intersect to form an angle, as well as the corners of polygons and polyhedra.
Let's assume that the other two vertices are at points (a, b) and (c, d). The area of the garden can be calculated as follows:
Area = Length × Width
35 = 7 × (b - (-1)) [since the width is the distance between the y-coordinates of the vertices]
Simplifying the above equation, we get:
b - (-1) = 5
b = 4
So, one of the vertices should be at (a, 4) and the other at (c, 4). Since the garden is symmetrical about the x-axis, the y-coordinate of the missing vertices is 1 more than the y-coordinate of the given vertices. Hence, the other two vertices should be at (−3, 5) and (4, 5).
Therefore, the answer is (Negative 3, 5) and (4, 5).
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What is the missing constant term in the perfect square thar starts with x2 + 6x
Answer:
(-9)/54*9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
On the calculator, click on the graph of y = 3x2 and trace to view the coordinates. When the x-coordinate is 4, what is the y-coordinate?
Answer:
48
Step-by-step explanation:
i just did it
For the given graph y = 3x²:
The value of y at x = 4 is 48.
Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) reflects the function.
The given function is,
y = 3x²
And x = 4
To find the value of y,
Put x = 4 in the given fucntion we get,
y = 3(4²)
Simplifying we get,
y = 48
A graph is also attached to illustrate these points.
Hence,
At x = 4 the value of y is 48.
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You and your friend are selling your old CDs. Your friend sells 14 the first day, and x the next day. You sell y the first day and 6 the next day. Write an expression that shows the total number of CDs sold both days. Rewrite your answer using the Commutative Property of Addition.
Answer: 30+x+y
Step-by-step explanation:
Commutative Property of Addition : a+b= b+a , where a and b are any arbitrary numbers.Given : Number of CDs sold by friend on first day = 14
Number of CDs sold by friend on next day = x
Total CDs sold by friend = 14 +x
Number of CDs sold by you on first day = 16
Number of CDs sold by you on next day = y
Total CDs sold by you = 16+y
The expression that shows the total number of CDs sold both days =
Total CDs sold by friend + Total CDs sold by you
= 14 +x+ 16+y
= 14 +(x+ 16)+y
= 14 +(16+x)+y [By Commutative Property of Addition.]
= 14+16+x+y
= 30+x+y
Hence, the expression that shows the total number of CDs sold both days :
30+x+y
Rewrite as a simplified fraction.
1.6= ?
Answer:
1 3/5
Step-by-step explanation:
PLEASE HELP ME!!!!!
An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.
x y
1 221
2 217
3 213
4 209
82 ?
When you subtract the y values you find that each increase in x decreases y by 4.
X is going from 4 to 82 which is 78 units.
78 x 4 = 312
Subtract 312 from the last y value:
209 - 312 = -103
The answer is -103
Answer:
When x = 82, y = -103
Step-by-step explanation:
So an arithmetic sequence is a sequence whose terms differ by a constant value. To find the value of the [tex]n^{th}[/tex] term we need to form an equation for the sequence.
Equation to the sequenceFirst we need to find the difference between the values of the sequence. In this case the difference is -4:
217 - 221 = -4, 209 - 213 = -4
So the equation is:
[tex]n^{th}[/tex] term = -4n + c
Now we need to find the c, so we substitute the [tex]n^{th}[/tex] term and the term number and solve the equation:
221 = (-4 x 1) + c
221 = -4 + c
c = 225
So the final equation is:
[tex]n^{th}[/tex] term = -4n +225
Finding the 82nd termNow all we need to do is substitute into the equation and find the answer:
[tex]n^{th}[/tex] term = (-4 x 82) + 225
[tex]n^{th}[/tex] term = -328 +225
[tex]n^{th}[/tex] term = -103
Find the value of x in the triangle shown below
a. √8
b. √32
c. 32
d. 8
Answer:
5.65685424949 or 5.66
Step-by-step explanation:
In a right-angled triangle, the longest side/leg is called the hypotenuse.
The formula to solve for the hypotenuse is:
hyp^2= side^2+side^2
If the hypotenuse of the triangle is already given then we have to solve for a side.
The formula to solve for the side is:
side^2= hyp^2-side^2
This formula to solve for the side is the opposite of solving for the hypotenuse which is the longest side/leg of the right-angled triangle.
In this question we have to solve for the side.
There are two sides in this triangle. Let's name those sides side a and side b. Side a is already given.
hyp= 9
side a = 7
side^2 = hyp^2-side^2
side b = 9^2 - 7^2
side b = 81 - 49
side b = 32
side b = √32
side b= 5.65685424949. to 2 decimal places -> 5.66
What is 11.51 rounded to the nearest ones
Answer:
12
Step-by-step explanation:
11.5 rounds the .5 to 12
Another one got MATHED
12
Step-by-step explanation:
anything below five is rounded down
There are white, blue, and red boats in a marina. Five-sixths of the boats in the marina are white,
2
5
of the remaining boats are blue, and the rest are red. If there are 12 red boats, how many boats are in the marina?
Final answer:
To find the number of boats in the marina, we use the information given about the proportion of white, blue, and red boats. By setting up an equation and solving for the total, we find that there are 222 boats in the marina.
Explanation:
To find the number of boats in the marina, we need to start with the information given. The problem tells us that five-sixths of the boats in the marina are white, and then 25 of the remaining boats are blue. The rest of the boats are red, with a total of 12 red boats.
We can start by finding the fraction of boats that are red. Since five-sixths are white, the remaining fraction of boats that are not white is one-sixth. We know that 25 boats are blue, so if we subtract this from the one-sixth, we are left with the fraction that represents the red boats.
Let's set up an equation to solve for the total number of boats:
1/6 - 25 = 12
Simplifying the equation, we have:
1/6 = 12 + 25
1/6 = 37
Multiplying both sides of the equation by 6, we get:
1 = 37*6
1 = 222
Therefore, there are a total of 222 boats in the marina.
Which graph shows a dilation of the rectangle with a scale factor of 2?
the first one is part of the question not an answer iption
Answer:
The graph that shows the dilation of the rectangle in the attached figure
Step-by-step explanation:
we know that
A dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional
In this problem we have that the scale factor is equal to 2
Remember that
If a scale factor is greater than 1, then the dilation is a enlargement
To find out the dimensions of the dilated figure multiply the original dimensions by the scale factor
The original dimensions of rectangle are
[tex]b=2 units\\h=4\ units[/tex]
The dimensions of the dilated rectangle are
[tex]b=(2)2=4\ units\\h=(2)4=8\ units[/tex]
therefore
The graph that shows the dilation of the rectangle in the attached figure
Answer:
the answer is the last graph
Step-by-step explanation:
you just have to add 2 squares to each one square
i did the test and got 100%
How do you compare and order fractions?
Answer:
Give each a common denominator
Step-by-step explanation:
So let’s say you have 1/2 and 2/4 how would you know which is bigger well we know both 2 and 4 go into 4 so 1/2 x2 = 2/4 so these 2 are equal
-3(p-7) > 21 solve for p
Answer:
p < 0
Step-by-step explanation:
Given
- 3(p - 7) > 21
Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.
p - 7 < - 7 ( add 7 to both sides )
p < 0
Foster Publishers' printing can print 5 dictionaries in 8 minutes. How many dictionaries can it print in 10 minutes?
Based on the proportion of 5 dictionaries in 8 minutes, Foster Publishers would be able to print approximately 6.25 dictionaries in 10 minutes.
Explanation:This question involves proportions, which often show up in mathematical problems like this one. A proportion is a statement that two ratios are equivalent. In this question, we know that Foster Publishers can print 5 dictionaries in 8 minutes, which establishes our first ratio (5/8).
We want to find out the number of dictionaries it can print in 10 minutes. This establishes a second ratio, but we don't know the numerator yet. We can set it up as follows: x/10 = 5/8, where x is the number of dictionaries that can be printed in 10 minutes.
6.25 dictionaries in 10 minutes if it continues at the same rate of production.
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What is 3822 devided by 39
Answer:
98
Step-by-step explanation:
0 0 9 8. 0 0 0
3 9 3 8 2 2. 0 0 0
− 0
3 8
− 0
3 8 2
− 3 5 1
3 1 2
− 3 1 2
0 0
− 0
0 0
− 0
0 0
− 0
0
Answer: 98
Step-by-step explanation:
plz help meeeeeeeeeeeeeee
Answer:
its 9.4 im pretty sure
How fast can a car going that traveled 330 and 1/3miles in 5 and 1/4 hour show your work
Answer: [tex]62.92 \frac{mi}{h}[/tex]
Step-by-step explanation:
If we are asked about how fast a car is going, this means we are asked about its velocity [tex]v[/tex], which is defined by the relation between the traveled distance [tex]d[/tex] and time [tex]t[/tex]:
[tex]v=\frac{d}{t}[/tex]
Where:
[tex]d=(330+\frac{1}{3}) mi=330.33 mi[/tex] is the traveled distance
[tex]t=(5+\frac{1}{4}) h=5.25 h[/tex] is the time
Solving the equation with the given information:
[tex]v=\frac{330.33 mi}{5.25 h}[/tex]
Finally:
[tex]V=62.92 \frac{mi}{h}[/tex] This is the car's velocity
Answer:
The speed of the car is 77.72 miles per hour
Step-by-step explanation:
To find out how fast is a car travelling when it traveled 330 and 1/3 miles in 4 and 1/4 hours following formula will be used
Speed= [tex]\frac{Distance}{Time}[/tex]
Total distance = 330 and 1/3
= 330+ 0.33
= 330.33 miles
Total time = 4 and 1/4
= 4 + 0.25
= 4.25 hrs
putting the values in equation we get speed of car
Speed= [tex]\frac{330.33}{4.25}[/tex]
Speed = 77.72 miles per hour
So the speed of the car is 77.72 miles per hour
Keywords: Calculating speed
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Find the slope of the line that passes through these two points: (14, -4) and (-4, 20) 3/14 -3/14 -14/3 14/3
Answer:
-4/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(20-(-4))/(-4-14)
m=(20+4)/-18
m=24/-18
simplify
m=-4/3