The account with the greater principal is Account B with a simple interest of $ 18
What is Simple Interest?
Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the first account be = A
Let the second account be = B
Now ,
The simple interest of A = $ 4.50
The simple interest of B = $ 18
The time period t = 18 months = 1.5 years
The rate of interest r for A = 2 %
The rate of interest r for B = 4 %
Now , the equation will be
Simple Interest of A = ( Principal of A x Rate of interest of A x Time ) / 100
Substituting the values in the equation , we get
4.50 = ( P x 2 x 1.5 ) / 100
Multiply by 100 on both sides of the equation , we get
450 = 3P
Divide by 3 on both sides of the equation , we get
Principal of A = $ 150
And ,
Simple Interest of B = ( Principal of B x Rate of interest of B x Time ) / 100
Substituting the values in the equation , we get
18.00 = ( P x 4 x 1.5 ) / 100
Multiply by 100 on both sides of the equation , we get
1800 = 6P
Divide by 6 on both sides of the equation , we get
Principal of B = $ 300
Therefore , the principal of B > principal of A
Hence , the simple interest of B with $ 18 has larger principal
To learn more about simple interest click :
https://brainly.com/question/17282817
#SPJ5
Mr.Moore read 25 pages of a book on Monday. He read 32 pages on Tuesday, 39 pages on wensday and 46 pages on Thursday. If this pattern countunies ma y pages
Answer:
Step-by-step explanation: by Saturday,, he would have read 25 + 32 + 39 +46 +53 +60 =255 pages. Note the number of pages read increases by 7 each day
If Jennifer makes $12 per hour and works 48 hours each week. She gets paid holidays off and 1 week of paid vacation. How much money does Jennifer make each year? There are 52 weeks in a year.
Answer:
If you multiply (12 x 48), you figure out how much she makes in a week ($576 a week). Then if there is 52 weeks in a year, subtract the number of weeks she gets off from 52, and multiply that number by 576 to get how much she is paid in a year. What I got from this, is that she has 1 week off. So my answer is she gets paid $29,376 a year. I hope this helps!
Mrs.Jones is a swim lesson instructor.For each lesson, she charges $35 for the pool usage fee plus $35 per hour . Write an equation that can be used to find y, the total charge of the swim lesson, if x represent the number of hours of lessons
Answer: The equation will be set up as y=mx+b. Mrs. Jones charges $35 per hour, so we can substitute m for 35 with x representing the number of hours. The $35 for pool usage fee will be substituted for b.
The answer then is y=35x+35
If the parallel sides of a trapezoid are contained by the lines and , find the equation of the line that contains the midsegment. Show equations and all work that leads to your answer.
Answer:
Equation of midsegment line: y = (-1/4)x + 2.
Step-by-step explanation:
If the parallel sides of a trapezoid are contained by the lines:-
y = (-1/4)x +5 and y = (-1/4)x - 1
Midsegment of any trapezoid is the line segment
1. that is parallel to pair of parallel side of trapezoid and
2. that passes through the middle of the trapezoid and cuts the other two sides into equal-half.
It means the midsegment would have same slope as the parallel lines and y-intercept would be in the middle of intercepts of parallel lines.
So y = mx + b
where m = -1/4 and b = (5 - 1)/2 = 4/2 = 2.
Hence, the equation of midsegment would be y = (-1/4)x + 2.
A cell phone company charges a monthly fee plus $0.25dollars for each text message you send. The monthly fee is $30.00. You owe $59.50. How many text messages did you send?
Answer:
118
Step-by-step explanation:
simple:
59.50 - 30.00=29.50
29.50 divided by 0.25= 118
in equation form
y=mx+b
59.50=0.25(x)+30.00
so the output (y) is the total money owed (59.50) and the 0.25 cents is the slope or unit rate and the 30.00 in this context is the monthly fee. So to find x= number of texts sent, you have to firstly get rid of the monthly fee, you subtract 30.00 by itself so it cancels out and you gotta do the same to the other side (the output), ( 59.50 - 30.00)= 29.50 and after that you have the remaining of 29.50=0.25x , now you have to divide 0.25 to both sides so 0.25/0.25=1 and basically 1x=x , now you divide 29.50/0.25=118 now you solved for x! The amount of texts sent=118
Please help on this one ?
Find the length of the midsegment.
15
13
22
44
Answer:
Its 22
Step-by-step explanation:
By the mid segment theorem:-
3x + 32 = 2(5x + 2)
3x + 32 = 10x + 4
28 = 7x
x = 4
So mid segment = 5(4) = 2 = 22
what does this mean exactly? there was nothing wrong with my question. it was just math. @admin or someone, can y'all explain? please don't take this down, I just want to understand it.
Answer:
It was part of an exam that someone recognized apparently. It's for the best, trust me. Maybe its just because it may have been asking for answers, not help.
Step-by-step explanation:
They did that to me and took everything from me! I was ranked expert and it was all gone! My answer wasn't even wrong! I have 83 answered questions and they took it all... FOR NO REASON
I answered someones questioned and they deleted it and gave me warning
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!
A population of bacteria is growing according to the exponential model P = 100e^(.70)t, where P is the number of colonies and t is measured in hours. After how many hours will 300 colonies be present? [Round answer to the nearest tenth.]
Answer: B
Step-by-step explanation:
[tex]P=100e^{(.70)t}[/tex]
[tex]300=100e^{.7t}[/tex]
[tex]3=e^{.7t}[/tex]
[tex]ln3=lne^{.7t}[/tex]
[tex]ln3=.7t[/tex]
[tex]\dfrac{ln3}{.7}=t[/tex]
1.6 = t
Answer:
Option B. 1.6 Hours
Step-by-step explanation:
The model for the population of bacteria is growing by :
[tex]P=100e^{(0.70)t}[/tex]
Where P = Number of colonies
and t = time in hours.
So, now put the value of P = 300 in the given model and obtain the value of t.
⇒ [tex]300=100e^{(0.70)t}[/tex]
⇒ [tex]3=e^{(0.7)t}[/tex]
Taking the natural log in on both the side
⇒ [tex]In3=Ine^{(0.7)t}[/tex]
⇒ [tex]In3=0.7t[/tex]
⇒ [tex]t=\frac{In3}{0.7}[/tex]
⇒ t = 1.6 hours
Therefore, The correct option is B). 1.6 hours
The amount of a radioactive isotope decays in half every year.the amount of the isotope can be modeled by f(x)=346(1/2)^x and f(1)=173 what does the 1/2 represent
Answer: 1/2 is the value b such that (b)^1 = 1/2, the fraction the isotope decays in one year.
Step-by-step explanation:
From the street, you drive down 6 levels in a parking garage. When you leave, you drive back up 6 levels. Which expression represents the number of levels you are from the street?
NEED MATH EXPERT! Which of the following best describes the relationship between (x + 1) and the polynomial x2 - x - 2?
A.It is impossible to tell whether (x + 1) is a factor.
B.(x + 1) is not a factor.
C.(x + 1) is a factor.
Answer: C. (x+1) is a factor
Step-by-step explanation:
First we need to factor the polynomial x^2 - x - 2.
It is written in the form ax^2 + bx + c
a = 1
b = -1
c = -2
Since the coefficient in front of x^2 is 1 we can start with (x + _) (x + _).
Now we need to find a pair of numbers that when multiplied together equal -2 (c) and when added together equal -1 (b).
The only pairs of numbers that multiply to make -2 are: -2 and 1, -1 and 2
The pair must also equal -1 when added together.
-1 + 2 = 1
-2 + 1 = -1
Therefore, to fill in the blanks for (x+_)(x+_) we should use -2 and 1.
x^2 - x - 2 factored becomes: (x-2)(x+1)
As you can see, (x+1) is a factor of x^2 - x - 2, so you can select c.
Write the equation of a line that is parallel to the following:
1. x = 5
2. y = -3
Answer:
1. x=6
2. y=2
Step-by-step explanation:
If x=5, the line is vertical, so we need a vertical line so that we are parallel. A vertical line is x= a constant
We can choose the value for x as long as it is not 5, that would make it the same line. I will choose x=6
If y=-3=5, the line is horizontal, so we need a horizontal line so that we are parallel. A horizontal line is y= constant
We can choose the value for y as long as it is not -3, that would make it the same line. I will choose y=2
how many faces does a icosahedron have?
A.)12
B.)10
C.)8
D.)20
An icosahedron have 20 faces. So the correct Option is D.
An icosahedron is a three-dimensional geometric shape known as a polyhedron. It is characterized by having 20 faces, making it an interesting and unique structure in geometry.
An icosahedron is one of the five Platonic solids, which are regular polyhedra with equal faces and angles. To understand why an icosahedron has 20 faces, we can break down its construction.
1. Vertices (V): An icosahedron has 12 vertices. Each vertex is a point where three edges of the polyhedron meet.
2. Edges (E): There are 30 edges in an icosahedron. These are the straight lines connecting the vertices.
3. Faces (F): Now, to find the number of faces, we can use Euler's formula, which states that for any polyhedron, V - E + F = 2. This formula relates the number of vertices, edges, and faces of a convex polyhedron.
Plugging in the values, we get: 12 (vertices) - 30 (edges) + F (number of faces) = 2
Solving for F, we get: F = 20
Thus, an icosahedron has 20 faces, represented by 20 flat surfaces, each of which is an equilateral triangle. Each vertex is shared by five triangles, and each edge is shared by two triangles.
The keyword "icosahedron" refers to the specific three-dimensional shape with 20 faces, while "Platonic solids" refers to the family of regular polyhedra with equal faces and angles. Euler's formula is essential for understanding the relationship between vertices, edges, and faces of polyhedra.
To know more about Icosahedron here
https://brainly.com/question/26110693
#SPJ2
Elle is 6 years younger than Felicia. Marta is twice as old as Felicia. If Marta is w years old,
a) find the age difference between Marta and Elle.
b) write an expression that shows the three girls' average age.
Answer:
Marta is (2x)+6 older than Ella.
The three girl's average age is (w)+(w/2)+(w/2-6)/3
Step-by-step explanation:
Marta's Age: w
Felicia's Age: w/2
Ella's Age: (w/2)-6
The age difference between Marta and Elle is Felicia's age plus 6 years. The expression for the average age of the three girls is (2*w - 6) / 3, where w is Marta's age and Felicia's age is half of w.
To solve the problem involving the ages of Elle, Felicia, and Marta, we use algebraic expressions. Marta is w years old.
Part a)
Let's denote Felicia's age as f. Since Elle is 6 years younger than Felicia, Elle's age is f - 6. Given that Marta is twice as old as Felicia, Marta's age, w, is equal to 2f. To find the age difference between Marta and Elle, we subtract Elle's age from Marta's age:
Age difference = w - (f - 6)
Since w = 2f, we can substitute 2f for w:
Age difference = 2f - (f - 6) = 2f - f + 6 = f + 6
Part b)
To find the average age of the three girls, we add their ages and divide by 3:
Average age = (Elle's age + Felicia's age + Marta's age) / 3
Average age = (f - 6 + f + 2f) / 3
Average age = (4f - 6) / 3
Since Marta's age is w and w = 2f, we can substitute 2f for each f in the equation:
Average age = (2*w - 6) / 3
EASY 20 POINTS!
Find the standard form of the equation of the parabola with a focus at (3, 0) and a directrix at x = -3.
y = one divided by twelve x2
-12y = x2
x = one divided by twelve y2
y2 = 6x
Answer:
Its the 3rd choice.
Step-by-step explanation:
The general form for this type of parabola is y^ = 4ax where a is the x coordinate of the focus.
So it is y^2 = 4*3 * x
= y^2 = 12 x
or x = 1/12 y^2
If any number, b,is raised to a positive integer exponent, n,what is the inverse operation?
lan has a jar full of pennies. One penny weighs about 5*10^-3 pounds. The pennies in Ian's jar weigh a total of 10 pounds.
About how many pennies are in lan's jar
Answer:
Mass of one penny = .005 pounds
10 pounds of pennies = 10 / .005 = 2,000 pennies
Step-by-step explanation:
Final answer:
To calculate the number of pennies, divide the total weight of the pennies in the jar (10 pounds) by the weight of one penny (0.005 pounds), resulting in approximately 2000 pennies.
Explanation:
To determine the number of pennies in Ian's jar, we need to use the weight of one penny and the total weight of pennies in the jar. The question states that one penny weighs about 5*10^-3 pounds, which can also be represented as 0.005 pounds.
Next, we divide the total weight of pennies in the jar, which is 10 pounds, by the weight of one penny:
Convert the weight of one penny to pounds: 5*10^-3 pounds.
Divide the total weight of the pennies by the weight of one penny: 10 pounds \/ 0.005 pounds per penny = 2000 pennies.
Hence, there are approximately 2000 pennies in Ian's jar.
An engineer on the ground is looking at the top of a building. The angle of elevation to the top of a buliding. The angle of elevation to the top of the building is 22°. The engineer knows the building is 450 ft tall. What is the distance from the engineer to the base of the building to the nearest whole foot?
Answer:
1,114 ft
Step-by-step explanation:
can someone please help me figure out the scale factor!?
Answer: The scale factor is 3
Divide the two volumes (larger over small) to find that (21870pi)/(810pi) = 27. This means that the larger volume is 27 times bigger than the smaller volume.
From here, you apply the cube root to this result to get 3. Note how 3 cubed = 3^3 = 3*3*3 = 27.
The linear scale factor is 3. The larger figure has a radius 3 times larger than its counter part in the smaller cone. The same applies to the heights as well.
Answer fast please!
The triangles below are similar.
(look at picture)
Which similarity statements describe the relationship between the two triangles? Check all that apply.
(look at answer choices)
(check all that apply)
Answer: The answer is (A) ΔCBA similar to ΔFED, (D) ΔBAC similar to ΔEDF and (E) ΔABC similar to ΔDEF.
Step-by-step explanation: We are given a figure in which two similar triangles are shown. We are to select all the correct similarity statements that describes the relationship between the two triangles.
In ΔABC, we have
∠B is the right angle, AC is the hypotenuse and AB is the shortest side.
Similarly, ΔDEF, we have
∠E is the right angle, DF is the hypotenuse and DE is the shortest side.
Therefore, the corresponding pairs of vertices in the two triangles will be
(A and D), (B and E) and (C and F).
Hence, the correct similarity statements are
ΔCBA similar to ΔFED,
ΔBAC similar to ΔEDF
and
(E) ΔABC similar to ΔDEF.
Thus, (A), (D) and (E) are the correct options.
there are 230 calories in 4 ounces of a type of ice cream. How many calories are 6 ounces of that ice cream
a. 232
b. 236
c. 345
d. 460
Answer:
c. 345 calories
Step-by-step:
We need to create a ratio
There are 230 calories in 4oz
230/4
How many calories are in 6oz
x/6
Let's equate them to solve for x
230/4 = x/6 cross multiply
4x = 1380 isolate x
x = 345
There are 345 calories in 6oz of said icecream
14.What is the solution of the system?
4x-y= - 3
6x-y= - 8
15.What is the solution of the system?
5x+6y=20
9x+11y=32
Answer:
14. x=-2.5, y = -7
15. x=28 y = -20
Step-by-step explanation:
14. Let's solve this system by elimination. Multiply the first equation by -1.
-1*(4x-y)= -1*(- 3)
-4x +y = 3
Then add this to the second equation.
-4x+y = 3
6x-y= - 8
--------------
2x = -5
Divide each side by 2
x = -2.5
We still need to find y
-4x+y =3
-4(-2.5) + y =3
10 +y =3
Subtract 10 from each side.
y = 3-10
y = -7
15.I will again use elimination to solve this system, because using substitution will give me fractions which are harder to work with. I will elimiate the y variable. Multiply the first equation by 11
11( 5x+6y)= 11*20
55x+66y = 220
Multiply the second equation by -6
-6(9x+11y)=32*(-6)
-54x-66y = -192
Add the modified equations together.
55x+66y = 220
-54x-66y = -192
---------------------------
x = 28
We still need to solve for y
5x+6y = 20
5*28 + 6y =20
140 + 6y = 20
Subtract 140 from each side
6y = -120
Divide by 6
y = -20
Which graph represents the function? f(x)=(x+2)^2 if x<−1
|x|+1 if −1≤x≤1
−√x if x>1
Answer:
option B
Step-by-step explanation:
To get the graph of piecewise function
We make a table for each function
Plug in end points and make a table
First function f(x) = (x+2)^2 if x<-1
x <-1 so we pick number for x less than -1. Also we use -1 but we use open circle at x=-1
x y = (x+2)^2
-3 (-3+2)^2= 1
-2 (-2+2)^2 = 0
-1 (-1+2)^2 = 1
Now plot the table on graph
second function f(x) = |x| + 1 if -1<=x<=1
Make a table, we use -1, 0 and 1 because we have -1<=x<=1 (-1 and 1 are included)
x y=|x| +1
-1 |1| + 1 = 2
0 |0|+1 = 1
1 |1|+1= 2
Third function [tex]y=-\sqrt{x}[/tex] if x>1
We find out y when x=1 and make a open circle at x=1 because we have x>1
x [tex]y=-\sqrt{x}[/tex]
1 [tex]-\sqrt{1}=-1[/tex]
4 [tex]-\sqrt{4}=-2[/tex]
Plot all the point on the graph
Correct graph is attached below
He orders 5 veggie pizzas he orders enough for everybody to 5/6 of a pizzas.How many people can he feed
Answer:
25 people
Step-by-step explanation: 6 x 5 = 30 30-5 = 25
Ayden had a goal of finishing painting at least 80% of the 500 square meters of a houses walls by today. He finishes 415 meters today. Did ayden meet his goal? How many square meters less than his goal did he paint?
What is the value of x
Answer:
x=36
Step-by-step explanation:
We know the three angles of a triangle add to 180 degrees
x + 65+ 79 = 180
Combine like terms
x+144 = 180
Subtract 144 from each side
x+144-144 = 180-144
x = 36
hey can someone help me please!!!
find the sum of the geometric series. 14-7+(7/2)-(7/4)+
Answer: B on edg
Step-by-step explanation:
28/3
BRAINLIEST!!PLEASE HELP
Answer:
3V / (pi*r^2) = h
Step-by-step explanation:
V = 1/3 *pi * r^2 h
We want to solve for h so we need to get it alone
Multiply each side by 3.
3*V =3* 1/3 *pi * r^2 h
3V = pi * r^2 h
Divide each side by pi r^2
3V / (pi*r^2) = pi * r^2 h/ (pi *r^2)
3V / (pi*r^2) = h