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
Linear or nonlinear
Answer:
Linear
Step-by-step explanation:
Linear is a straight graph
Answer:
Linear
Step-by-step explanation:
The easiest way to recognize this from a graph is that its a straight line. If not then its non linear. If you aren't given a graph to go off of another way is to see if it has a constant rate of change, if it does its linear.
-3/4 x (-12)= I need help please this is hard
Answer:
9
Step-by-step explanation:
Hope this helps and have a great day : )
Answer:
hiiioiofffffrrrrrtttttttt
plz I need a help expand:(5x+4y)(5x-4y)
Answer:
25xwith an exponent of 2 minus 16y with an exponent of 2
(-81) + 70=
Uhhhh answer someone-
Answer:
-11
Step-by-step explanation:
the giraffe is the worlds tallest land mammal. if the scale is 1/2 inch represents 5 feet . the giraffe is 20 feet tall . how many inches is the giraffe?
Answer:
The giraffe will be 2 inches
Step-by-step explanation:
If we know that if the scale is 1/2 inch to 5 feet we simply just have to divide the height of the giraffe by 5 feet and then multiply it by 1/2 inches. So we do...
20feet / 5 feet x 1/2 inches = 4 x 1/2inches = 2 inches
A family of five people has $200 to spend on fishing rods and fishing licenses. They spend a total of $20 on licenses. Assuming they buy 5 identical rods, what is the maximum amount they can spend on each rod?
how do you solve this?????
Answer:
36
Step-by-step explanation:
200-20=180
180/5=36
16 + 13p -- 9p
how do you do this?
The set of ordered pairs below represents a function.
(5,8) , (-8,1) , (15,-4), (-1,16), (17,7)
Mariela claims that she can add any point to the set and it will still represent a function.
Which of the following points can be used to show that Mariela's claim is incorrect?
Select all that apply.
(1,1)
(-8,6)
(17,-3)
(-5,8)
(-1,-16)
(1,1)
(-1,-16)
(-5,8)
(-8,6)
(17,-3)
need help pls, i will give brainliest
Answer:
It is the y intercept
Step-by-step explanation:
REALLY EASY MATHS QUESTION PLS HELP
(I think it easy lol)
Answer:
no.2 no.5
Step-by-step explanation:
i don't know how to explain
have a good rest of your day
Answer:
question (1) c^2=a^2+b^2
Step-by-step explanation:
pythagoras theorem
Help please! worth a lot of points! Screenshot included
Answer:
x=44444444444444444444444444444444
Step-by-step explanation:
Answer:
.2
Step-by-step explanation:
please help, choose the correct equation
Please help!!!
composition of functions
g(x)=2x-5 h(x)=x^2-2
find g(h(-8))
Answer:
g(h(-8)) = 119
Step-by-step explanation:
Given
g(x)=2x-5h(x)=x²-2To determine
g(h(-8)) = ?In order to determine g(h(-8)), we need to determine h(-8) first
substituting x = -8 in h(x)=x²-2
h(-8) = (-8)² - 2
h(-8) = 64 - 2
h(-8) = 62
so
g(h(-8)) = g(62)
now substituting x = 62 in g(x)=2x-5
g(62)=2(62)-5
g(62) = 124 - 5
g(62) = 119
so
g(h(-8)) = g(62) = 119
Therefore,
g(h(-8)) = 119SOMEONE HELP ME PLSS !
PLEASE HELP ME FAST!!! Monica's bicycle wheel has a radius of 16 inches. Kevin's tricycle wheel has a radius of 8 inches. How many times larger is the circumference of Monica's wheel that the circumference of Kevin's tricycle wheel? Show your work
Answer:
50.2 inches
Step-by-step explanation:
The wheel of a tricycle is circular in shape.
The circumference of a circle = 2πr
For Monice
Monica's bicycle wheel has a radius of 16 inches.
The circumference of her bicycle wheel = 2 × π × 16
= 100.53096491 inches
Approximately = 100.5 inches
For Kevin
Kevin's tricycle wheel has a radius of 8 inches.
The circumference of his wheel =
2 × π × 8
= 50.265482457 inches
Approximately = 50.3 inches
How many times larger is the circumference of Monica's wheel that the circumference of Kevin's tricycle wheel?
This is calculated as:
Circumference of Monica's wheel - Circumference of Kevin's wheel
= 100.5 inches - 50.3 inches
= 50.2 inches
Hence: Monica's wheel is 50.2 inches larger than Kevin's wheel
Answer: All I know is I got a 1/2 points on my open ended question. Monica’s bicycle wheel is 2 times larger than Kevin’s.
Step-by-step explanation: I think you add or multiply or divide. I gotta figure it out myself.
18. A figure is said to be regular if its sides are equal in length and angles are equal in
measure. What do you mean by a regular quadrilateral?
Answer:
If its 4 sides need to be equal and 4 angles need to be equal then it is a square.
Step-by-step explanation:
[tex]\huge\sf\fcolorbox{green}{pink}{Answer}[/tex]
Properties of regular quadrilateral :- All sides are equalAll angles are 90° ( equal)Square is only the regular quadrilateral
Which phrase describes the algebraic expression n + 14?.
Donna rides her bike at a rate of 19/2 mph how many miles can donna travel in 1/3 of an hour
Answer:
19/2 = 9.5. This is the speed she can ride in a single hour. At that speed, she would travel 9.5/3 miles in 1/3 of an hour. 9.5/3 = 3.1666666666666667
Step-by-step explanation:
Phineas and Ferb are preparing to conduct experiments at Dataknee Incorporated. Phineas bought 4 beakers and 3 goggles for $33. Ferb bought 6 beakers and 2 goggles for $32. How much did each beaker and each goggle cost?
Enter your one-sentence interpretation in the space below.*
Also the problem to geth the sentence
Answer:
Beaker: $3, Goggles: $7
Step-by-step explanation:
determnine if each table shown below represents a function or not.
Table 1
Input (x) 1 3 5 5 9
Output (y) 7 16 19 20 28
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
From Table 1, it is clear that:
Each input or x-value of the X set has a unique y-value or output of the Y set. There is no duplicated input (repeated x value).Therefore, Table 1 represents a function.
Table 2
Input (x) 0.5 7 7 12 15
Output (y) 7 15 10 23 30
We already know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
From Table 2, it is clear that:
There is a duplicated input (repeated x value) i.e. x = 7 appears twice. And we can not have repeated input values.As the input x = 7 is repeated multiple times, thus, the given table 2 does not represent a function.
Therefore, Table 2 does not represent a function.
The weight, in pounds, of a newborn baby t months after birth can be modeled by the equation W=1.5t+10. What is the slope of the equation and what is its interpretation in the context of the problem?
Answer:
Step-by-step explanation:
W = 1.5t + 10
slope = 1.5
Every month, the baby gains 1.5 pounds.
Help me out please an thank you
write the equation of the graphed in NO SPACES ALL LOWERCASE
Help !!
Answer:
The equation of the graphed line is:
y = 2Step-by-step explanation:
From the graph, it is clear that the line is a horizontal line at y = 2.
We know that a horizontal line has a slope of 0 because the value of y does not change no matter what the value of x we put in.
In other words, the equation of the horizontal line would always get the form:
y = k
where k is the y-intercept of the line.
Determining the y-intercept of the line:
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept k = 2
Thus, if we substitute the y-intercept k = 2 in the equation y = k, we get the equation
y = 2
Therefore, the equation of the graphed line is:
y = 2WILL MARK BRAINLIST!!! only for correct answer
NEED CORRECT ANSWER ASAPPP
Answer:
B
Step-by-step explanation:
The answer is B because the slope is [tex]\frac{4}{1}[/tex] and there is no y- intercept
Answer:
A.
Step-by-step explanation:
It starts from 32 on the y-axis and goes up 4 times on x-axis.
HELPPP what is 2x - 5 by the Square root of 9
NEED HELP PLZ!!!!!!!!!!!!!
Answer:
1st Option is correct
Step-by-step explanation:
Just keep adding 150 to see the results
Lee filled several jars with 1/4 cup of water in each jar .He used a total of 8 cups of water. Let j represent the number of jars that Lee filled. Write and Solve an equation to find out how many jars lee filled.
Answer: 32
Step-by-step explanation:
8x4 = 8 / 0.25
What are the roots of the equation 5x^2=-17x-165x in simplest a+bi form?
Help!!!!!! Find x and y so the quadrilateral is a parallelogram.
Answer:
Conclusion:
The value of x = 7The value of y = 4Step-by-step explanation:
Given
The parallelogram PQRSWe know that the diagonals of a parallelogram bisect each other.
Therefore,
RT = TPGiven RT = x and TP = 5x-28, so
x = 5x-28
5x = x+28
5x-x = 28
4x = 28
divide boh sides by 4
4x/4 = 28/4
x = 7
Thus, the value of x = 7
Similarly,
QT = TS
Given QT = 5y and TS = 2y+12, so
5y = 2y+12
5y-2y = 12
3y = 12
divide both sides by 3
3y/3 = 12/3
y = 4
Thus, the value of y = 4
Conclusion:
The value of x = 7The value of y = 4I need help asap pls