Sophie would have $15,786 more than Sydney.
What is the compound interest?We know that the compound interest has to do with the kind of interest that we have to compound but on the principal and the the interest. In this case, we can see that we have;
A = P(1 + r/n)^nt
A = amount
P = principal
r = rate
t = time
n = Number of times compounded
Then we have For Sophie;
A = 26000(1 + 0.06/365)^20 * 365
A = $86315
For Sydney;
A =26000(1 + 0.05/12)^12 * 20
A = $70529
It then implies that; $86315 - $70529
= $15,786
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8-3(6-6x) please help
Answer:
-10 + 18x
Step-by-step explanation:
8-3 (6-6x)
distribute -3 with the numbers inside the parenthesis and you end up with
8 -18 + 18x
and you simplify by subtracting 18 from 8 so you get
-10 + 18x
The simplified form of the expression 8 - 3(6 - 6x) is -10+18x.
To simplify the expression 8 - 3(6 - 6x), we can apply the distributive property to remove the parentheses.
Distribute the -3 to both terms inside the parentheses:
8 - 3 × 6 + 3 × 6x
Simplify the multiplication:
8 - 18 + 18x
Combine like terms:
-10 + 18x
Therefore, the simplified expression is -10 + 18x.
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a scientist is studying wildlife. she estimates the population of bats in her state to be 270,000. she predicts the population to grow at an average annual rate of 2.9 percent
using the scientists prediction, create an equation that models the population of bats, y, after t years.
Answer:
Step-by-step explanation:
y = 270,000 ×1.029^t
The side lengths of a square are each 4p. By adding 3 to the length and subtracting 3 from the width, a rectangle is made. What is the area of the rectangle?
Answer:
16p^2 - 24p - 9
Step-by-step explanation:
I literally just took the test lol
Find x. Simplify completely.
x = [?]
Enter the number that belongs in the green
Please helppp
Step-by-step explanation:
Answer is 20.
Please use paythagoras theorem in every triangles.
Write and equation of the line in slope intercept form that passes through the points. (0,1) (2,4)
16. Solve the system of equations by graphing.
y = x + 8
y = - x- 6
Answer:
Step-by-step explanation:
x + 8 = -x - 6
2x + 8 = -6
2x = -14
x = -7
y = -7 + 8
y = 1
(-7, 1)
Taylor and Katy repeatedly toss a fair coin. Katy wins if heads are thrown, Taylor wins if tails are thrown, and the game ends when someone has won three times. Katy is currently behind 1 to 2. The chance Katy wins is:
Answer:
25%
Step-by-step explanation:
In order to find the chance/probability that Katy wins we need to first find the probability of her winning a single coin toss and then multiply it twice. This is because Katy has 1 win already and needs two more win the entire game. Since a coin toss only has 2 options and only 1 of those outcomes will cause Katy to win, then this means that the probability of Katy winning is 1/2 or 50%. Now we can multiply this probability twice to get the probability of Katy winning the entire game
1/2 * 1/2 = 1/4 or 25%
120 pounds decreased by 5%
Answer:
114 pounds
Step-by-step explanation:
(-10,-8), (8, 10) what the slope for this plz
Answer:
1
Step-by-step explanation:
y2 - y1/x2 - x1
10 + 8/8 + 10 = 18/18 = 1
20 pts help...................
Answer:
[tex]3 \frac{3}{4}[/tex]
Step-by-step explanation:
We have a right rectangular prism and the question is asking for the volume.
Look for the formula of volume :
V = LWH
L being length
W being width
H being height
The formula is basically saying to multiply all sides together, so let's do as so.
[tex]2*1\frac{1}{4} * 1\frac{1}{2}[/tex]
= [tex]3 \frac{3}{4}[/tex]
Answer:
c
Step-by-step explanation:
Paula salió de su casa rumbo al trabajo avanzo 8km al este y 13km al norte. Si hubiera un camino recto desde su casa a su trabajo ¿Que distancia recorrería por ese camino?
Answer:
15.26km
Step-by-step explanation:
Con la informacion de la pregunta e hecho un diagrama de la situacion. Podemos ver en el diagrama que el recorido forma un triángulo rectángulo. Entonces para saber la distancia que recorreria por el camino recto desde su casa a su trabajo tendriamos que calcular el valor de x, que se puede calcular usando el teorema de pitagoras que es el siguiente.
[tex]a^{2} + b^{2} = c^{2}[/tex]
donde a y b son el ancho y el alto del triangulo y el c seria x
[tex]8^{2} + 13^{2} = x^{2}[/tex]
[tex]64 + 169 = x^{2}[/tex]
[tex]233 = x^{2}[/tex]
[tex]15.26 = x[/tex]
Finalmente, podemos ver que la distancia seria 15.26km
What is the product of these two binomials?
(x^2 - 5)(2x - 1)
Step-by-step explanation:
Please refer to the attachment
Chloe earned a grade of 87% on her multiple choice math final that had a total of 200
problems. How many problems on the final exam did Chloe answer correctly?
200 x 0.87 = 174
She answered 174 questions correctly.
Answer:
Chloe answered 174 problems correctly.
Explanation:
To find percentage, you would multiply the percentages decimal to the total.
0.87x200=174
Clasificación de los ángulos de acuerdo a sus aberturas
Answer:
recto, agudo, obtuso, liano, completo, convexo, cóncavo
Step-by-step explanation:
find the length and the breadth of a rectangular plot whose area is 660 sq.m and its perimeter is 104
Answer:
find the mean median mean devialion
PLEASE HELP!!!! 25 POINTS!!!
don't need to answer all but someone please help with a few questions!!!
(GRAPH INCLUDED)
Which variable did you plot on the x-axis and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
Test the residuals of two other points to determine how well the line of best fit models the data.
Use the line of best fit to help you to describe the data correlation.
Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arms span is 66 inches?
According to your line of best fit, what is the arm span of a 74-inch-tall person?
Answer:
x variable
Step-by-step explanation:
HOPE IT WILL HELP YOU
Juanita borrowed $600 to purchase a new computer. She was charged 7% interest for two years. She used the simple interest formula to find the interest.
I = 600(7)(2)
What error did Juanita make and how will her error affect the interest she calculates? Explain
{_____________________________
whoever does best get brainliest
Answer:
The correct formula should be I= 600(0.07)(2). Juanita made a very common error, she didn't put the percentage of interest in decimal form; or she didn't put the percent sign on it so we know to put it in decimal form. Her error will make a big difference; with using her calculations the answer would be $8,400. With the correct formula the answer is $84.
Hope this help! :)
Given :-
Juanita borrowed $600 .Rate of Interest = 7% .Time = 2yrs .To find :-
Error made by her.Answer :-
As we know that the formula for Simple interest is ,
SI = P*R*T / 100Substitute ,
I $600* 7 * 2 / 100 I = $ 84 .So here she did not write 7 % as 7/100 instead she wrote 7 .
yoo hii, could yall please help me!!
I would need you to tell me the answers to each question (3 questions)
Step-by-step explanation:
For no. 4
x = 180° - 98° - 50°
x = 32°
For no. 5
x = 180°- 67°-56°
x = 57°
For no. 6
x = 180° - 22° - 47°
x = 111°
Hope it will help :)❤
que son monomios? y 4 ejemplos
una expression algebraic
5x9
xy²
8x6y
3x
math help please (question 9)
*theres also a hint*
Answer:what are the answer choices
Step-by-step explanation:
Answer:
Point A = (0,1) Point B = (1,2) Point C = (2,4)
Step-by-step explanation:
To find a point's "ordered pair" (x and y coordinates), consider each line a single digit unless the problem states/shows otherwise (ex. if the lines were evidently counting by 2's). Here, we can see each line represents a single digit. First count how many lines to the left/right of the y axis the point is (this will be your x point - ex. point B in this problem has an x valued at 1 because the point was one line to the right of the bold vertical line in the middle (the y axis). If the point is to the left, it is a negative x value, right would be positive, and if the point is on the y axis line. x is 0. You are essentially counting how far along the x axis the point is. Same applies to the y values, given you do the opposite and count how far from the x axis (horizontal bold line) the point is. Above that line is positive, below is negative, and again, if the point is on the x axis (bold horizontal line), the y value is 0. Then simply fill your values in in their corresponding places in the brackets: (x,y).
Hope this helps :) I know math can be especially hard to grasp so it's always okay to ask for help/explanation.
A certain region of America with over 500,000 households has a mean household income of $70,000 with a standard deviation of $20,000. Economists plan to take random samples of 625 households and calculate the sample mean income for each sample. Calculate the mean of the sampling distribution of x-bar.
Answer: Mean: 70,000
Standard Deviation: 500
Step-by-step explanation:
The mean is 70, 000 and standard deviation is 800.
What is Standard Deviation?The term "standard deviation" (or " σ ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Given:
A certain region of America with over 500,000 households.
Mean, [tex]\mu[/tex] = 70,000
and, Standard Deviation, [tex]\sigma[/tex] = 20,000
n = 625
So, the new mean = old mean
= 70, 000
and, the standard deviation = [tex]\sigma /[/tex]√n
= 20,000 / √625
= 20,000 / 25
= 800.
Hence, the mean is 70, 000 and standard deviation is 800.
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which sentence demonstrates the multiplicative identity?
1. 1/2•1=1/2
2. 1/2•2=1
3. 1/2+0=1/2•
Answer:
It’s 1/2•2 equals 1 because it showed correctly in the calculator. 0.5x2=1
Step-by-step explanation:
Which of the following numbers has the smallest value?
19.45
19.445
19.5
19.454
Answer:
19.445
Step-by-step explanation:
Graphf (x) = 3x + 4 and a h(x) = -f(x).
Answer:
I think the answer is 56 .
Platter has six veggie wraps 12 turkey wraps and cost 64.50 another platter has eight veggie wraps turkey wraps and cost 56 what is the cost of a veggie wrap
Answer:
$3.25
Step-by-step explanation:
The computation of the cost of a veggie wrap is shown below:
Let us assume the veggie strap be x
And the turkey wrap be y
Now the equations are
6x + 12y = $64.50
x + 2y = $10.75
8x + 8y = $56
x + y = 7
Now
x + 2y = $10.75
x + y = $7
y = $3.75
So x = $7 - 3.75
= $3.25
please please answer will give brainliest
Answer:
c
Step-by-step explanation:
.5xBxH=.5x16x5=8x5=40
Answer:
c
Step-by-step explanation:
sources: dude trust me
A tree casts a shadow that is 9 feet long. The distance from the top of the tree to the end of the shadow is 15 feet. What is the height of the tree?
Answer:
15 feet tall hi hi hi hi hi hi
Answer:
10
Step-by-step explanation:
PLEASE HELP, THIS IS DUE IN 20 MINUTES
Given the following proportion, solve for the length of the triangle "n".
n/4 = 12/(n-2)
What is the sum of the rational expressions below? 2x + 7 / x + 5 + x - 3 / x + 5
Answer:
[tex]\frac{3x+4}{x+5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2x+7}{x+5}[/tex] + [tex]\frac{x-3}{x+5}[/tex]
Since both fractions have a common denominator then add the numerators, placed over the common denominator.
= [tex]\frac{2x+7+x-3}{x+5}[/tex]
= [tex]\frac{3x+4}{x+5}[/tex]
Answer:
The answer is
[tex] \frac{3x + 4}{x + 5} [/tex]
Step-by-step explanation:
We can do this by using the denominators.
[tex]then \\ \frac{2x + 7}{x + 5} + \frac{x - 3}{x + 5} \\ = \frac{2x + 7 + x - 3}{x + 5} \\ = \frac{3x + 4}{x + 5} [/tex]