Answer:
5.08 years
Step-by-step explanation:
We are to solve for time using compound interest formulas
For Hailey
Principal = $200
Amount = Double of Principal = $4000
Rate = 2 3/8% = 2.375.
Time = ?
Hence,
First, convert R as a percent to r as a decimal
r = R/100
r = 2.375/100
r = 0.02375 per year,
Then, solve the equation for t
t = ln(A/P) / r
t = ln(4,000.00/2,000.00) / 0.02375
t = 29.185 years
≈ 29.19 years
For Sophie
Principal = $200
Amount = Double of Principal = $4000
Rate = 2 7/8% = 2.875
Time = ?
First, convert R as a percent to r as a decimal
r = R/100
r = 2.875/100
r = 0.02875 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 0.02875/365)] )
t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 7.8767E-5)] )
t = 24.11 years
How much longer would it take for Hailey's money to double than for Sophie's money to double?
For Hailey it takes 29.19 years
For Sophie it takes 24.11 years
We find the difference
= 29.19 - 24.11
= 5.08 years
Therefore, it would take 5.08 years for Hailey's money to double than Sophie
Answer:
5.07 a little late but oh well
Step-by-step explanation:
Calculate the surface area of the figure:
54ft
198ft
21ft
108ft
Answer:
108
Step-by-step explanation:
How many times greater is the value of the 3 in 3,499 than in 6,399
Answer:
967 times
Step-by-step explanation:
3 / 3499 is 1166.33333
3 / 6399 is 2133
What is the value of x in the
equation below?
5x +9= 74
Bryan calculated the area of a square to be 18/32 square foot. Which shows the side length of the square? (Hint: Simplify. Also, area of a square is side x side.)
Answer:
x = 0.75 feet
Step-by-step explanation:
The area of a square is 18/32 square foot
We need to find the side length of the square.
The area of a square of side x is given by :
[tex]A=x^2[/tex]
Substitute all the values,
[tex]x=\sqrt{A} \\\\x=\sqrt{\dfrac{18}{32}} \\\\x=0.75\ feet[/tex]
So, the side length of the square is equal to 0.75 feet.
Please help- will give brainlist. I would appreciate if you told me how you got the answer but you don’t have to
Answer:
14 units
Step-by-step explanation:
Area is l*w and since the length is known, solve for width
182/13=13w/13
w=14
Answer:
14 units
Step-by-step explanation:
Given, the area of rectangle = 182 square units
length = 13 units
width = ?
By using the formula to find the area of a rectangle, we have
area of rectangle = length * width
182 = 13 * width
182/13 = width
14 units = width
Use picture
Identify all values of x that make the equation true.
1.
2+1 =
2-15
2+11
1
2+5
1
O x=-11,-5
O x=-2, -7
x=11,5
x=2, 7
Jesse has a storage container in the shape of a right rectangular prism. The volume of the container is 43.875 cubic meters, the length is 5 meters and the width is 3.9 meters.
Note: Consider we need to find the height of the container.
Given:
The volume of container in the shape of right rectangular prism = 43.875 cubic meters.
Length = 5 meters.
Width = 3.9 meters.
To find:
The height of the container.
Solution:
We know that the volume of a rectangular prism is:
[tex]V=l\times w\times h[/tex]
Where, l is length, w is width and h is height.
Putting [tex]V=43.875,l=5,w=3.9[/tex] in the above formula, we get
[tex]43.875=5\times 3.9\times h[/tex]
[tex]43.875=19.5\times h[/tex]
[tex]\dfrac{43.875}{19.5}=h[/tex]
[tex]2.25=h[/tex]
Therefore, the height of the rectangular container is 2.25 meters.
At a publishing company 60% of the editors are female.
30% of the female editors and 20% of the male editors have a maths degree.
What percentage of all the editors have a maths degree?
0.3 percent because 50% of 60% is 0.3%
2. Dwayne scored 55 points in the last basketball game, which is 10 points more than his previous personal best. Lebron scored 15 points more than Chris in the
same game. Lebron scored the same number of points as Dwayne’s previous personal best.
Write two algebraic equations, let d represent the number of points Dwayne scored during his previous personal best and c represent the number of Chris’s points.
Answer:
Required equations are:
d + 10 = 55c + 15 = dSolving the first, we get:
d = 55 - 10d = 45Solving the second we get:
c + 15 = 45c = 45 - 15c = 30A graph of f(x) = 6^2 - 11x + 3 is shown on the grid
What are the zeros of f?
A. 3
B. 2 and 9
C. 11/12
D. 1/3 and 3/2
compare these integers
-10_____ 1
A.<
B.=
C.>
Answer:
-10<1
which means that -10 is less than 1
Answer:
A
Step-by-step explanation:
-10 is smaller than 1 because all the negative numbers are less than 0 and all other positive numbers
11. What is the value of x?
A 48
B 30
C 60
D 36
Answer:
I think it is B
hope this helps
what are the factors of 30 that have a sum of -11
Answer:1, 2, 3, 5, 6, 10, 15, 30.
Step-by-step explanation:
Which expression could be used to evaluate the expression below?
Answer:
Step-by-step explanation:
Is there supposed to be a picture
BRAINLY AND 5 STARS AND THANK YOU IF CORRECT, NO FILE HOSTINGS OR REPORT!
Flavia has a bag with 8 white balls, 9 red balls, 14 green balls, and 10 orange balls. If she chooses two balls from the bag without replacement, what is the sample space of the second choice? Write just the number.
Answer:
6
Step-by-step explanation:
i hope its right and if not im sorry im not good with math
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer and Step-by-step explanation:
Let's put the information given into equations.
Let's also denote x as individual songs and y as albums.
Charlene - 6x + 2y = 25.92
Keisha - 4x + 3y = 33.93
Those above equations is answer choice option, which is D.
So, D is the correct Answer.
#teamtrees #PAW (Plant And Water)
What is equivalent to 5(3t+9v)
Answer:
15t+45v
Step-by-step explanation:
Determine whether or not the triangle with the given side lengths is a right triangle.
60 inches, 11 inches, 61 inches
leg a
in
leg b =
in
hypotenuse c =
in
Right triangle? Yes or No.
Find the area of the right triangle.
Answer:
[tex] \frac{1}{2} \times 9 \times 6 = 27 \\[/tex]
You have to count the units then put the rule
[tex] \frac{1}{2} \times base \: \times hight[/tex]
Which of the following best describes the equation below?
y = 8x + 7
A.
neither linear nor nonlinear
B.
linear
C.
both linear and nonlinear
D.
nonlinear
Answer:
B
Step-by-step explanation:
PLEASE HELP ASAP THANK YOUU: A unicycle wheel makes five rotations. The unicycle travels 37.94 feet. Find the diameter of the wheel in inches.
Show your work and write your answer in a sentence.
Answer:
diameter of the wheel = 28.98 in (2 d.p.)
Step-by-step explanation:
Given information:
A unicycle wheel makes five rotationsThe unicycle travels 37.94 feetCircumference of a circle = πd (where d is the diameter)
One rotation of the wheel is equal to the circumference of the wheel.
Therefore, 5 rotations is equal to the sum of 5 circumferences.
To find the diameter of the wheel in feet, equate the expression for 5 circumferences to the total distance traveled and solve for d:
[tex]\begin{aligned}\textsf{5 circumferences} & = \textsf{total distance traveled}\\\implies 5 \pi d & = \sf 37.94\: ft\\d & = \sf \dfrac{37.94}{5 \pi}\\d & = \sf 2.415335416... \:ft \end{aligned}[/tex]
As 1 foot = 12 inches, multiply the found diameter in feet by 12 to calculate the diameter in inches:
[tex]\begin{aligned}d & =2.415335416... \times 12\\\implies d & = \sf 28.98\:\:in\:(2\:d.p.)\end{aligned}[/tex]
Therefore, the diameter of the wheel is 28.98 in (2 d.p.).
Solve The Quadratic Equation by the Square Root Method.
(x + 2)^2=25
Answer:
x=-7, x=3
Step-by-step explanation:
Seperate into possible cases
Solve the equation
Answer:
x = 3 or x = -7
Step-by-step explanation:
(x + 2)^2=25
Take the square root of each side
sqrt((x + 2)^2)=sqrt(25)
x+2 = ± 5
Subtract 2 from each side
x+2-2 = -2 ±5
x = -2 +5 or x = -2 -5
x = 3 or x = -7
What is the value of (5r+1/5)² when r = 1?
Answer:676/25
Step-by-step explanation:
when r=1
(5(1)+1/5)^2
(5+1/5)^2
((25+1)/5)^2
(26/5)^2
676/25
A line passes through the point (8, -7) and has a slope of
3/4
Write an equation in slope-intercept form for this line.
Answer:
y = 3/4x - 13
Step-by-step explanation:
As we already know the slope, we just need to find the y-intercept.
y = 3/4x +b
-7 = 3/4(8) + b
-7 = 6 + b
-13 = b
y = 3/4x - 13
Help me with the correct answer please
Step-by-step explanation:
Since, The formula of Pythagoras is A² + B² + C²
(therefore)* let A be 8 mm
B be 6 mm
Therefore, 8² + 6² = 64 + 36
= 100
= 10( after squaring it )
Hope it helps,if it is correct like and mark me.
does anyone know the answer?? i’ll mark brainlists
Can someone help me with this?
The factor by grouping method found the GCF's of the original polynomial to be "5x" and "+6."
When you factor those out, you have this remaining:
5x(x + 3) + 6(x + 3).
What is the final answer?
Group of answer choices
(x + 3)(30x)
(x + 3)(5x + 6)
(x + 3)(11x)
Prime
Answer:
(5x + 6) (x + 3)
hope it helps
A and b are positive integers and a-b=2. Evaluate the following:
(27^1/3b)/ ( 9^1/2a)
(this is urgent)
4, Give a pair of inequalities that describes
the set of all points in the first quadrant
Answer:
x > 0
y > 0
Step-by-step explanation:
The first quadrant is the quadrant formed by the positive x-axis and the positive y-axis.
And we know that all the elements in this quadrant are larger than zero.
Then, a point (x, y) is on the first quadrant only if:
x > 0
y > 0
Note that we ignore the points with x = 0 or y = 0, this is because these points are shared between quadrants, and these points are not defined as belonging to any quadrant.