Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:
100 * (1+1.07)x = 400
Then we will take 400 and divide it by 100 getting:
1.07X = 4
Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X
Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.
2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula
where:
P (principal) is equal to hypothetical $100
E (e) is a mathematical constant, which is approximately 2.718
R (rate) is the interest rate, in our case it is 5.5%
T (time) is the time required for money to grow
A (amount) is the final amount desired, which is 4 times larger of $100, thus $400
We have the following:
400 = 100 * e0.055t
400/100 = e0.055t
4 = e0.055t
Then we will apply natural log to both sides of the equations and get the following:
ln(4) = ln(e0.055t)
Since e is the base of ln(x) the equation simplifies to:
ln(4) = 0.055t
Using the calculator to find ln(4) we are getting:
1.38629 = 0.055t
Lastly find t
t = 1.38629/0.055
t = 25.20535202
Plug the answers back to the original equation to verify the answers.
1st part of the question answer: t = 20.4895
2nd part of the question answer: t = 25.20535202
There are 4 cups in a row from left to right. The green cup is somewhere between the yellow and blue cups. The red cup is somewhere left of the yellow cup. Based on that information, how many different arrangements of these cups could there be?
Answer:
Le answer tis 4 UwU
Step-by-step explanation: G'day mate!
P.S- Brainlest plzz??
Answer:
5
Step-by-step explanation:
e
1/7 of a birthday cake was left over from a party. The next day, it is shared among 8 people. How big a piece of the original cake did each person get?
Answer:
1/56
Step-by-step explanation:
ploz brainliestt
A flagpole casts a 32-foot shadow at the same time that Evan casts a 9-foot shadow. If Evan is 6 feet tall, how tall is the flagpole?
Answer:
48
Step-by-step explanation:
by dividing 9 by 6 you get 1.5 and by using distribution you also multiply 32 by 1.5 to get 48
In a bag of marbles, there are 4 blue marbles, 6 yellow marbles, 3 red marbles and 6 green marbles. If you choose a yellow marble on your first draw and do not put it back in the bag, what is the probability you get a blue marble on the second draw? probability you get a blue marble on the second draw?
a. 1/6
b. 6/19
c. 4/19
d. 2/9
let f(x)=2x and g(x)=2x
Graph functions on the same coordinate plane.
What solutions to the equations f(x)=g(x)?
Answer:
Rewrite (Lambert form):
[tex]e^{\ln \left(2\right)\left(1-\left(-\frac{u}{\ln \left(2\right)}\right)\right)}\left(-\frac{u}{\ln \left(2\right)}\right)=1[/tex]
Simplify :
[tex]-\frac{e^{\ln \left(2\right)+u}u}{\ln \left(2\right)}=1[/tex]
Solve:
[tex]u=-2\ln \left(2\right),\:u=-1\cdot \ln \left(2\right)[/tex]
Result:
[tex]x=2,\:x=1[/tex]
Hope this helped u :)
If this was too complicated I can edit it for you.
Jane works at The Bottling Company. She needs to put 8,500 bottles of water into cases. So far she has put 2,136 in cases. How many cases can Jane fill with the remaining bottles? How many bottles will be left?
Answer:
6364 cases
6364 bottles are left
Step-by-step explanation:
From the question, we are given the following
Total bottles of water = 8500bottles
Total cases filled = 2136cases
Required
Number of cases Jane can film with the remaining bottle.
Number of cases Jane can fill = 8500-2136
Number of cases Jane can fill with the remaining bottle= 6364 cases
Number of bottles left = number of cases Jane have left to fill.
Hence;
Number of bottles left = 6364 bottles
7x-3x=
what is x =
x=
Answer:
4x
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME??
Answer:
3,-2 5,-3 2,1
Step-by-step explanation:
all the points in the shaded region are the right answer
Find the missing length marked with a question mark.
UVW-USR
Given:
[tex]\Delta UVW\sim \Delta USR[/tex]
To find:
The missing length marked with a question mark.
Solution:
Let x be the missing value.
We have,
[tex]\Delta UVW\sim \Delta USR[/tex]
Corresponding sides of similar triangles are proportional, so
[tex]\dfrac{UV}{US}=\dfrac{VW}{SR}=\dfrac{UW}{UR}[/tex]
Using this, we get
[tex]\dfrac{UV}{US}=\dfrac{UW}{UR}[/tex]
On substituting the values, we get
[tex]\dfrac{70}{x}=\dfrac{55}{44}[/tex]
[tex]\dfrac{70}{x}=\dfrac{5}{4}[/tex]
On cross multiplication, we get
[tex]70\times 4=5\times x[/tex]
[tex]280=5x[/tex]
[tex]\dfrac{280}{5}=x[/tex]
[tex]56=x[/tex]
Therefore, the missing length is 56 units.
Kieran, Jermaine and Chris play football.
Kieran has scored 8 more goals than Chris.
Jermaine has scored 5 more goals than Kieran.
Altogether they have scored 72 goals.
How many goals did they each score?
Step-by-step explanation:
Find an equation that explains the problem. We can see how many goals the players have scored in comparison to each other. The person with the fewest goals is Chris. Let us say he score x goals. Then we can see that Kieran has scored 8 more than Chris, i.e. x + 8. Jermaine scored 5 more goals than Kieran, therefore x + 8 + 5 = x + 13. Now we have the amount of goals each person scored relative to each other. The total number of goals scored was 72, thus all of these amounts must equal 72.
x + (x + 8) + (x + 13) = 72
Now we can rearrange and solve for x.
3x + 21 = 72
3x = 51
x = 17
Please helpppp........,
pleaseee help meee will give brainliest or whateva
Answer:
The value of x = 12.
Step-by-step explanation:
We know that two angles are termed as supplementary when the sum of the measure of their angles is 180°.
We also know that a straight line angle measures 180°.
It is clear that the angles 72° and 9x° line on a straight line. Thus, the sum of the measure of their angles is 180°.
Therefore,
9x° + 72° = 180°
9x° = 180° - 72°
9x° = 108
divide both sides by 9
9x/9 = 108/9
x = 12
Therefore, the value of x = 12.
The average rate of change for the function below is f(x)=x2−6x+8 when x2=1 and x1=3
Answer:
ye
Step-by-step explanation:
sorry!
PLS HELP! ITS DUE SOON ILL GIVE BRAINLIEST
Answer:
I think it’s a but if not a then d
Step-by-step explanation:
Answer:
i think A
plz give me brainliest but plz correct if wrong
Step-by-step explanation:
A customer buys 2 pairs of sneakers,1 pair of flip flops,and 1 pair of flats.The sales tax was $1.75.How much change did the customer receive form $30.00?
Answer:
drivers license do you like that song?
Step-by-step explanation
I got my driver's license last week
Just like we always talked about
'Cause you were so excited for me
To finally drive up to your house
But today I drove through the suburbs
Crying 'cause you weren't around
And you're probably with that blonde girl
Who always made me doubt
She's so much older than me
She's everything I'm insecure about
Yeah, today I drove through the suburbs
'Cause how could I ever love someone else?
And I know we weren't perfect but I've never felt this way for no one
And I just can't imagine how you could be so okay now that I'm gone
Guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
And all my friends are tired
Of hearing how much I miss you but
I kinda feel sorry for them
'Cause they'll never know you the way that I do
Yeah, today I drove through the suburbs
And pictured I was driving home to you
And I know we weren't perfect but I've never felt this way for no one
Oh, and I just can't imagine how you could be so okay now that I'm gone
I guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
Red lights
Stop signs
I still see your face
In the white cars
Front yards
Can't drive past the places
We used to
Go to
'Cause I still f- love you, babe
Sidewalks
We crossed
I still hear your voice
In the traffic
We're laughing
Over all the noise
God, I'm so blue
Know we're through
But I still f- love you, babe
I know we weren't perfect but I've never felt this way for no one
And I just can't imagine how you could be so okay now that I'm gone
Guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
Yeah, you said forever now I drive alone past your street
Answer:
b
Step-by-step explanation:
5(14 – 39 ÷ 3) + 4 •
Answer:
9
Step-by-step explanation:
Answer:9
Step-by-step explanation:
help me pleaseeeeeeee
Please help thanks I’m so confused
Answer:
64.93=4.73x+22.36
Step-by-step explanation:
64.93 is how much he paid
22.36 is his constant
4.73 is for 1 call
Please help me with this question
Step-by-step explanation:
y-intercept in the point x = 0
B) is the easiest
g(x) or y value
g(x) = 3x² + 6x -9
= 3(0)² + 6(0) -9
= 0 + 0 -9
= -9
y-intercept = (0,-9)
What is the equation of the line that passes through the point (4,-3)(and has a slope of 11?
Answer: -3 = 11(4) + b
Step-by-step explanation: y = mx + b, -3 is the y, 11 is the slope (m), 4 is the x, b is the y-intercept which is unknown unless you solve for it.
Find the coordinates of the vertex of the following parabola algebraically.
Write your answer as an (x, y) point.
y = x2
Answer:
I have no idea what it is sorry
PLEASE HELP
The picture below shows a loading platform that extends out 6 feet from the back of a truck. What is the exact length of the platform?
Answer:
really easy its 180
Step-by-step explanation:
because you multiply 30 times 6 u get 180
Answer:
5.2 ft
Step-by-step explanation:
[tex] \cos 30 \degree = \frac{6}{length \: of \: platform} \\ \\ \frac{ \sqrt{3} }{2} = \frac{6}{length \: of \: platform} \\ \\ length \: of \: platform = \frac{2 \times 6}{ \sqrt{3} } \\ \\ length \: of \: platform = \frac{12\sqrt{3} }{ 3} \\ \\ length \: of \: platform =4 \sqrt{3} \\ \\ length \: of \: platform =4 \times 1.732 \\ \\ length \: of \: platform = 5.228 \\ \\ length \: of \: platform = 5.2 \: ft[/tex]
Problem
Jun used 56\,\text{cm}56cm56, start text, c, m, end text of ribbon to go around the edge of a rectangular lid. The lid was 13\,\text{cm}13cm13, start text, c, m, end text long.
What is the width of the lid?
Answer:
The width of the lid is 15 cm
Step-by-step explanation:
The Perimeter of a Rectangle
Given a rectangle of width W and height H, the perimeter is calculated as:
P = 2(W + L)
Jon used 56 cm of ribbon to go around the edge of a rectangular lid. This means the perimeter is:
2(W + L) = 56
Dividing by 2:
W + L = 28
Since the lid was L=13 cm long, the width is:
W = 28 - 13 = 15
The width of the lid is 15 cm
A store is having a 25% off sale on all shirts. Select all of the possible ways to calculate the sale price for a shirt that normally costs $24.
A. 24 - (0.25 x 24)
B. (0.75) x 24
C. (0.25 x 24) x 3
D. (0.25 x 24)
E. (24 + 0.25)
Answer:
A,B, and C
Step-by-step explanation:
25%of 24 is 6, 24-6=18(new price)
A.24-(0.25×24)=24-6=18
B.(0.75)×24=18
C.(0.25×24)×3= 6×3=18
Pleaseee help mee I will appreciate it
Answer:
Read explanation!
Step-by-step explanation:
A = $0.89
B = $0.92
C = $0.94
BRAINLIST PLEASEEEE HELP
Answer:
About 527.79
Step-by-step explanation:
formula is A=2πrh+2πr^2
Answer:
[tex]527.52\:\mathrm{in^2}[/tex]
Step-by-step explanation:
The surface area of this cylinder consist of two circles and a 3D outer edge with respect to the circumference. The area of a circle is given as [tex]r^2\pi[/tex]. Using [tex]\pi=3.14[/tex] as requested in the problem, the area of both these circles is:
[tex]2\cdot6^2\cdot 3.14=226.08\:\mathrm{in^2}[/tex].
The area of the outer edge is the circumference of the circle multiplied by the height. The circumference of a circle is given by [tex]2r\pi[/tex].
Therefore, the circumference's 3D outer edge is:
[tex]8\cdot2\cdot6\cdot 3.14 = 301.44\:\mathrm{in^2}[/tex].
Adding these up, the total surface area is:
[tex]226.08+301.44=\fbox{$527.52\:\mathrm{in^2}$}[/tex].
Is quadrilateral UVWX a parallelogram? Why or why not?
Answer:
C
Step-by-step explanation:
Slope of UV = 0 = Slope of XW
So UV is parallel to XW.
Slope of UX = [6-(-4)]/[-7-(-3)] = -5/2
Slope of VW = [6-(-4)]/(0-4) = -5/2
Slope of UX = Slope of VW i.e. UX is parallel to VW.
It is a parallelogram because opposite sides are parallel.
Answer:
Yes, because opposite sides are parallel.
Step-by-step explanation: I took the test
Will give brainliest
In terms of x, find an expression that represent the area of the shaded region . The outer square has side lengths of x+5 and the inner square has side lengths of x-2 .
*image*
Area: ______ square units
Answer:
the expression to find the shaded region : 14x+21
Step-by-step explanation:
(x+5)² - (x-2)² solve by distribution
7(2x+3)
14x+21
Answer:
14x+21
Step-by-step explanation:
(x+5)² - (x-2)²
7(2x+3)
14x+21
what is y=8.5x contasnt of proportionality
please help and show work if you can
Answer:
7. x = 5
8. x = 2, y = 6
9. x = 21, y = 39
Step-by-step explanation:
For a parallelogram, the lengths across intersection are equal.
7. For a parallelogram, the lengths across intersection are equal.
So that,
3x = 4x - 5
4x - 3x = 5
x = 5
8. For a parallelogram, the lengths across intersection are equal.
So that,
2x = 4
x = [tex]\frac{4}{2}[/tex]
x = 2
and
y - 1 = 2y -7
7 - 1 = 2y - y
y = 6
x = 2, y = 6
9. For a parallelogram, opposite angles have equal value.
Thus,
3x = (4x - 21)
3x = 4x - 21
x = 21
and
3y = (y + 78)
3y = y + 78
3y - y = 78
2y = 78
y = [tex]\frac{78}{2}[/tex]
= 39
y = 39
x = 21, y = 39
