To solve the problem we will first calculate the remaining balance in Loren's Account after a year.
The balance in Loren's account after two years is £430.54.
Given to us
Loren puts £600 in a bank account,the account pays 3% compound interest each year,after ONE year Loren withdraws £200Principal Amount that Loren put in her account, P = £600Rate of interest that bank pays, r = 3% = 0.03Balance of Loren after one yearUsing the compound interest formula,
Balance of Loren after one year = [tex]P(1+r)^t[/tex]
Substituting values,
[tex]=600(1+0.03)^1\\= 600(1.03)\\= 618[/tex]
Remaining Balance of Loren after one yearNow, as Loren takes £200 out of the account, the remaining balance would be,
= Balance of Loren after one year - £200
= £618 - £200
= £418
Balance in Loren's account after two yearsIn the second year, the balance will be paid on the remaining balance, therefore, applying the formula of compound interest,
P = £418
r = 0.03
t = 1
[tex]=P(1+r)^t\\=418(1+0.03)^1\\=418(1.03)\\= 430.54[/tex]
Hence, the balance in Loren's account after two years is £430.54.
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What is the sum?
7/2+(-3/5)
Given: x + y = 15. Which of the following are ordered pairs of this equation?
Graph x2 + 9y2 = 25. What are the domain and range?
Someone please help me !
(Picture below)
Answer:
the third graph is correct.
Step-by-step explanation:
domain: -5 ≤ x ≤ 5
range: -1.67 ≤ y ≤ 1.67
Which relation is a direct variation that contains the ordered pair (2, 7)?
Y=4x-1
y=2/7x
y=7/2x
y=7/x
Answer: The guy up above, is correct. The answer is D
Step-by-step explanation: Edge 2021
How can you write 23/3 as a mixed number?
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
Which of the points shown below are on the line given by the equation y = x - 1? Check all that apply.
A. Point A: (1, -2)
B. Point B: (2, 1)
C. Point C: (4, 3)
D. Point D: (-3, -4)
Final answer:
To find points on the line y = x - 1, substitute the x and y values of each point into the equation. Points B, C, and D satisfy the equation.
Explanation:
The equation given is y = x - 1. To determine which points lie on this line, you need to substitute the x and y values of each point into the equation and see if the equation holds true.
Point A: (1, -2) - Substitute x = 1, y = -2 into y = x - 1. -2 = 1 - 1 is false.Point B: (2, 1) - Substitute x = 2, y = 1 into y = x - 1. 1 = 2 - 1 is true.Point C: (4, 3) - Substitute x = 4, y = 3 into y = x - 1. 3 = 4 - 1 is true.Point D: (-3, -4) - Substitute x = -3, y = -4 into y = x - 1. -4 = -3 - 1 is true.Therefore, Points B, C, and D lie on the line represented by the equation y = x - 1.
at a local store you find the following prices listed:
Tape 2 rolls for $1.28
Notepads 3 pads for .87
Highlighters 1 for 1.59
Pens 2 for 1.98
How much would you pay for one roll of tape, two note pads, two highlighters, and two pens?
A. $8.07
B. $4.50
C. $6.38
D. $5.72
How many solutions are there to the equation below?
11x + 25 = 7x + 15
A.
0
B.
Infinitely many
C.
1
D a monky beats a man with a stick
Answer:
D) A monky beats a man with a stick.
Step-by-step explanation:
Monky like stick. Monky like beat man.
jacob has exactly 84 cents in his pocket.he only has dimes and quartere. how many pennies does he have if he has 3 dimes
Common factors of 32 and 40
If P(x) = 2x 4 - x 2 + 3x - 1, use synthetic division to find P (2).
17
21
33
Answer: 33
Step-by-step explanation:
P(x) = 2x 4 - x 2 + 3x - 1
To find the value of p(2) we simply substitute x = 2.
That is; wherever you see x, simply put 2
P(2) = 2 [tex](2)^{4}[/tex] - [tex](2)^{2}[/tex] + 3(2) - 1
=2(16) - 4 + 6 - 1
= 32 - 4 + 6 -1
=28 + 6 -1
=34 - 1
=33
Therefore the value of P(2) is 33
WILL UPVOTE
This is all the info it gives me so sorry.
The formula for rate is r=dt.
Solve for d.
Enter your answer in the box.
Thanks!
Reduce this algebraic fraction 27c^4d^5/9c^7d^4 ...?
What is the relative maximum and minimum of the function?
f(x)=x^3+6x^2-36
The relative maximum is at (–6, 216) and the relative minimum is at (2, –40).
The relative maximum is at (–6, 40) and the relative minimum is at (2, –216).
The relative maximum is at (6, 216) and the relative minimum is at (–2, –40).
The relative maximum is at (6, 40) and the relative minimum is at (–2, –216).
70% of a number is 98.
What is 90% of that same number?
A.
63
B.
68.6
C.
88.2
D.
126
"In ABC, mBAC = 5x + 8, mABC = 6x + 22, and mBCA = 3x 25.
A.Find the value of x.
B.Find the measure of 3. Show your work."
Actually, the answer is 12.5
5x+8+6x+22+3x+25= 180
(5x+6x+3x)+(8+22-25)= 180
14x+5=180
14x+(5-5)=180-5
14x=175
14x/14=175/14
X=12.5
Double check:
(5*12.5)+8=70.5
(6*12.5)+22= 97
(3*12.5)-25=12.5
70.5+97+12.5=180 degrees.
So, x=12.5
Which of the following correctly expresses the number below in scientific notation? 0.00000765
A. 7.65 • 10-6
B. 7.65 • 10-7
C. 7.65 • 10-5
D. 76.5 • 10-7
E. 765 • 10-8
F. 765 • 10-6
In scientific notation, 0.00000765 is written as 7.65 • 10-6. This represents the number of places to the right of the decimal point to the first non-zero digit.
Explanation:The task is to express the number 0.00000765 in scientific notation. Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in standard decimal form. It is commonly used in science and mathematics.
We have to determine which of the given options correctly represents this number in scientific notation.
The number 0.00000765 can be written as 7.65 times ten to the negative sixth power. This is because there are six places to the right of the decimal point before we encounter the first non-zero digit. Therefore, the correct answer is 7.65 • 10-6.
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Quadrilateral MNOP is a rhombus. Find the measure of angle MRN.
a. 90
b. 45
c. 85
d. 60
Without further information or a diagram indicating the position of point R in the rhombus MNOP, we cannot accurately determine the measure of angle MRN. If R is at the intersection of the diagonals, angle MRN would be 90 degrees.
Explanation:The student asks to find the measure of angle MRN in a rhombus named MNOP. Unfortunately, the information provided is insufficient to determine the measure of angle MRN directly. However, one property of a rhombus is that all sides are of equal length and opposite angles are equal. Additionally, the diagonals of a rhombus are perpendicular bisectors of each other and bisect the angles of the rhombus. Without a specific diagram or more information about the location of point R in relation to the rhombus, it's impossible to give an exact answer. If R is located at the center where the diagonals intersect, then angle MRN would be 90 degrees because the diagonals of a rhombus bisect each other at right angles. If R is not at the center, then we cannot determine the angle without additional information.
Which is not a property of all similar triangles
The lengths of the sides of a triangle are 3x, 5x – 12, and x + 20. Find the value of x so that the triangle is isosceles. ...?
Final answer:
To find the value of x for the triangle to be isosceles, we set the lengths of any two sides equal to each other and solve for x. After testing different cases, we find that x equals 10 satisfies the condition for the triangle to be isosceles.
Explanation:
For a triangle to be isosceles, at least two sides must have equal length. We're given the side lengths as 3x, 5x - 12, and x + 20. We have two cases to consider to find the value of x for the triangle to be isosceles:
Case 1: 3x = 5x - 12
Case 2: 3x = x + 20 or 5x - 12 = x + 20
To solve for x in case 1, we equate the two expressions and solve as follows:
3x = 5x - 12
2x = 12
x = 6
However, if we substitute x = 6 into the third side (x + 20), we get a length of 26, which does not equal either of the first two sides. Therefore, x = 6 does not satisfy the condition for an isosceles triangle.
For case 2, we consider 3x = x + 20:
3x = x + 20
2x = 20
x = 10
By substituting x = 10 into 5x - 12, we get 50 - 12 = 38. We can see that two sides of the triangle are 30 and 30 (since 3x equals 3(10)), confirming that the triangle is isosceles with x equal to 10.
Fill in the blank:
To find the values of p, q, r and s, you should start by finding all factor ___ of the leading coefficiant and constant term. Then try them to determine which ones give you the correct product ...?
A 4 in. by 5 in. photo is enlarged so that its width (shorter dimension) is 5 in. What is the length of the enlarged photo? 5.25 in. 6 in. 6.25 in. 7 in.
6.25 in Answer:
6.25 in
Step-by-step explanation:
i took the text
Final answer:
The length of the enlarged photo is 6.25 inches.
Explanation:
The question asks for the length of an enlarged photo when its width, the shorter dimension, has been increased from 4 inches to 5 inches. This is a problem of similar rectangles where the aspect ratio must remain constant. In the original photo, the width is 4 inches and the length is 5 inches. As the photo is enlarged, and the new width becomes 5 inches, we must find the new length that keeps the aspect ratio the same.
To find the scale factor, you compare the new width to the original width:
Scale factor = new width / original width = 5 inches / 4 inches = 1.25
To find the new length, multiply the original length by the scale factor:
New length = original length × scale factor = 5 inches × 1.25 = 6.25 inches
Therefore, the length of the enlarged photo is 6.25 inches.
The price of a pair of shoes increases from $51 to$69. what is the percent increase to the nearest percent?
Answer:
35%
Step-by-step explanation:
Which is a secant of circle A?
(Points : 1)
segment AB
line DE
segment HG
line CD
Answer:
The correct option is line CD
Step-by-step explanation:
Given the diagram we have to find the secant of circle A.
Secant of a circle is a line intersecting the circle at exactly two different points and a chord is the line determined by these two.
In the circle A the only line intersect two different points is CD and the interval on a secant is the chord of circle.
Here, HG is only the chord of circle not secant.
Hence, the correct option is line CD
which even number is not a composite number2, 8, 4, 6
How would i find the rule for this pattern:1280,640,320,160?
The rule for this pattern is to divide each number by 2 to get the next number.
Explanation:To find the rule for this pattern, we need to identify the relationship between the numbers. In this case, each number is half of the previous number. So, to find the next number, we divide the previous number by 2.
For example, 640 is half of 1280, 320 is half of 640, and so on. This means that to find the next number, we divide 320 by 2 to get 160.
Therefore, the rule for this pattern is to divide each number by 2 to get the next number.
Molly runs each morning once around a circular path in her neighborhood. if the diameter of the path is 1.4 miles, how far does molly run each day?
What are the common factors of 15 18 a d 12?
The distance from the library to the park is 0.7 kilometers. how many meters is this?
Answer:
700 is the answer
Step-by-step explanation:
yuo multipy bye the 1000 over 1