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
12 + m < -6 how many solutions
Answer:
m<−18
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
m+12<−6
Step 2: Subtract 12 from both sides.
m+12−12<−6−12
m<−18
can anyone answer 2(3x+5)+7x and show work ?
Answer: -12 I believe I’m sorry if I’m wrong I’m not smart
Step-by-step explanation:
Simplifying
2(3x + -5) = 7x + 2
Reorder the terms:
2(-5 + 3x) = 7x + 2
(-5 * 2 + 3x * 2) = 7x + 2
(-10 + 6x) = 7x + 2
Reorder the terms:
-10 + 6x = 2 + 7x
Solving
-10 + 6x = 2 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
-10 + 6x + -7x = 2 + 7x + -7x
Combine like terms: 6x + -7x = -1x
-10 + -1x = 2 + 7x + -7x
Combine like terms: 7x + -7x = 0
-10 + -1x = 2 + 0
-10 + -1x = 2
Add '10' to each side of the equation.
-10 + 10 + -1x = 2 + 10
Combine like terms: -10 + 10 = 0
0 + -1x = 2 + 10
-1x = 2 + 10
Combine like terms: 2 + 10 = 12
-1x = 12
Divide each side by '-1'.
x = -12
Simplifying
x = -12
Answer:
13x + 10
Step-by-step explanation:
First distribute, (2)(3x) + (2)(5) + 7x
This gives you 6x + 10 + 7x
Then combine then like terms 6x + 10 + 7x
To get (6x + 7x) + (10)
And a final answer of 13x + 10 :)
Help with his plz ASAP!!
Answer:
what do you need help on?
A rectangle has a length of x and a with width 3 more than twice the length. A square has a side length of 3x. If both polygons have the same perimeter what is the value of x.
Answer:
x = 1
Step-by-step explanation:
Length of the rectangle = x
Width of the rectangle = 2x + 3
Side length of the square = 3x
Perimeter of the rectangle = 2(length + width)
= 2{x + (2x+3)}
= 2(x + 2x + 3)
= 2x + 4x + 6
= 6x + 6
Perimeter of a square = 4 * length
= 4 * 3x
= 12x
If both polygons have the same perimeter
Perimeter of the rectangle = Perimeter of a square
6x + 6 = 12x
6 = 12x - 6x
6 = 6x
x = 6/6
x = 1
Darron bought a new PS5. He made a down payment of $300, and he will pay $50 each month until the phone is paid off. Which equation represents the relationship between x, the number of monthly payments Darron has made, and y, the total amount he has paid?
A. y= 50x + 300
B. y= -50x + 300
C. x= 50y + 300
D. y= 50x – 300
Answer:
C
Step-by-step explanation:
Carol bought two chairs with triangular backs. For what value of x can you use
a triangle congruence theorem to show that the triangles are congruent?
Which triangle congruence theorem can you use? Explain.
Answer:
x = 4
Step-by-step explanation:
Two sides, GH and GI, in ∆GHI are of the same side length as corresponding two sides, TU and TV, in ∆TUV.
To prove that both triangles are congruent using the SSS Congruence Theorem, therefore, the their third sides, HI and UV must be equal.
Therefore,
9x - 21 = 15
Add 21 to both sides
9x - 21 + 21 = 15 + 21
9x = 36
Divide both sides by 9
x = 4
help plz plz will mark brainliest
Answer:
x = 52°
Acute angle = 64°
Step-by-step explanation:
Problem 1:
Since DN bisects <BDW, this means that m<BDN = m<NDW
Thus:
5v - 8 = 4v + 4
Collect like terms
5v - 4v = 8 + 4
v = 12
x = m<BDN = 5v - 8
x = 5v - 8
Plug in the value of v
x = 5(12) - 8
x = 52°
Problem 2:
First, find the value of y
(4y - 44) + (3y + 35) = 180 (linear pair)
4y - 44 + 3y + 35 = 180
7y - 9 = 180
7y = 180 + 9
7y = 189
Divide both sides by 7
y = 27
Acute angle = 4y - 44
Plug in the value of y
Acute angle = 4(27) - 44 = 64°
 tell me how to answer this please I WILL MARK BRAINLIEST
Answer:
It equals 3
Step-by-step explanation:
To solve this it is basically like a normal problem you would just take out the X in it and divide 7 by 21 which leaves you with 3.
If f(x) = x ^ 2 - 2 and g(x)=x-3 what is (f o g)
Answer:
(f•g)(x) x² +7MARK ME AS BRAINLY#Carry On LearningHelp Fast. The question is in an image because there is a graph to see.
Answer:
the answer is (3, 2)
Step-by-step explanation:
the formula to find the centroid of a triangle is
{( x1+x2+x3)/3 , ( y1+y2+y3)/3}
Help please due now!!
Answer:
60
Step-by-step explanation:
Answer:
Step-by-step explanation:
a = 2 ; b = 4
4a + 2b² - 2(a -3b) = 4*2 + 2(4)² - 2 (2 - 3*4)
= 4*2 + 2*16 - 2(2 -12)
= 4*2 + 2*16 - 2* (-10)
= 8 + 32 + 20
= 60
Please help me for brainliest!! There is a picture! Answer choices : 2, 4, 6, 8
Answer:
x = 2
Step-by-step explanation:
The 2 triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{x}{8}[/tex] = [tex]\frac{3.5}{14}[/tex] ( cross- multiply )
14x = 28 ( divide both sides by 14 )
x = 2
Merry has a pipe that she wants to cut into 4 pieces. If the pipe is 26 2/3 feet long, how long should she cut each piece?
Answer: 6 2/3 ft
Explanation:
1. Turn the mixed number (26 2/3) into an improper fraction by multiplying 26 by 3 and then adding 2. (26x3=78)(78+2=80=80/3)
2. Now divide 80 by the number of pieces she’s cutting (4). (80÷4=20)
3. Now divide 20 by the denominator (3) to convert it back into a mixed number. (20÷3=6 2/3)
Is x2 + 10x + 20 a perfect square trinomial?
Yes or no
Answer:
=
(
x
−
5
)
2
Step-by-step explanation:
=(x-5) exponent 2
Yes
No, x² + 10x + 20 is not a perfect square trinomial.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
A quadratic polynomial,
x² + 10x + 20.
A perfect square trinomial is an expression that may be constructed from the binomial equation's square.
That means, the roots are repeated.
Solving the equation, we get,
x = (-5 ± √5)
The roots are not repeated.
Therefore, it is not a perfect square trinomial.
To learn more about the quadratic function;
https://brainly.com/question/11485644
#SPJ2
What is the minimum value of the function g (2) = x2 - 6x – 12?
-21
3+ V21
3
3-21
Answer:
g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12?
Step-by-step explanation:
Answer:
minimum value is -21; ordered pair of min value is (3, -21)
Step-by-step explanation:
graph the function and find the lowest point on the curve
help plz i dont undertand
Answers:
x = 4AB = 36BC = 36AC = 36All three sides are 36 units long.
===========================================================
Explanation:
Triangle ABC is equilateral, so all three sides are the same length.
Pick any two of those sides, set them equal to each other, and solve for x
AB = BC
8x+4 = 11x-8
8x-11x = -8-4
-3x = -12
x = -12/(-3)
x = 4
Use this x value to find each side. We should get the same value (if not, then an error occurred in solving for x).
AB = 8x+4 = 8*4+4 = 32+4 = 36BC = 11x-8 = 11*4-8 = 44-8 = 36AC = 9x = 9*4 = 36We get the same value for the three side lengths, so this confirms we have the correct x value.
Which graph represents the system of inequalities?
3x+5y<10
x−y≤1
Answer:
I believe it's the one on the bottom left
Step-by-step explanation:
I'm still taking my test so I'll come back later to tell you if it's correct.
Answer:
It's the one on the bottom left
Step-by-step explanation:
$2000 is invested at a rate of 4.2% compounded annually. Identify the compound interest function to model the situation. Then find the balance after 7 years. A = 2000(1.042)^t; $2667.50 A = 2000(1.42)^4t; $2557.50 A = 2000(1.042)^t; $2337.50 A = 2000(14.2)^4t; $2447.50
Answer:
A = 2000(1.042)^t; $2667.50
Step-by-step explanation:
The formula or model for Compound Interest is given as:
A = P(1 + r/n)^nt
Where:
A = Amount or Balance after t years
P = Principal or initial amount invested = $2000
r = Interest rate = 4.2% = 0.042
t = Time in years = 7 years
n = Compounding frequency = Annually = per year = 1
Hence, the compound interest function to model for the situation (Question) with time t above is:
A = 2000(1 + 0.042) ^1 ×t
A = 2000(1.042)^t
Therefore solving for the balance
A = 2000(1.042)^7
A = 2,667.50
A = $2667.50
Therefore, option a =
A = 2000(1.042)^t; $2667.50
is the correct option.
In which family of functions can students calculate an average rate of
change? *
non-linear functions
Average Rate of Change is used primarily with non-linear functions, since all linear functions have a constant rate of change.
Can someone help with this please
Answer:
no solution
Step-by-step explanation:
because the x values got cut out, there's no solution
Proving parallel lines
Answer:
Are you making a new post?
Step-by-step explanation:
1) O > 3x - 3-6
What is the answer
Answer:
Step-by-step explanation:
I never seen that kind of question
Answer:
x<3
Step-by-step explanation:
Let's solve your inequality step-by-step.
0>3x−3−6
Step 1: Simplify both sides of the inequality.
0>3x−9
Step 2: Flip the equation.
3x−9<0
Step 3: Add 9 to both sides.
3x−9+9<0+9
3x<9
Step 4: Divide both sides by 3.
6th term 25,75,225,675,.... is it arithmetic or geometric. what's the explicit equation and the given term
Answer:
see explanation
Step-by-step explanation:
There is a common ratio r between consecutive terms, that is
[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{75}{25}[/tex] = 3
[tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{225}{75}[/tex] = 3
[tex]\frac{a_{4} }{a_{3} }[/tex] = [tex]\frac{675}{225}[/tex] = 3
This indicates the sequence is geometric with explicit formula
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 25 and r = 3 , then
a₆ = 25 × [tex]3^{5}[/tex] = 25 × 243 = 6075
your friend says he has 4 x 4 x 4 marbles in his desk, write in exponential form and compute its value
Answer:
4 x 3 is 12 so he has 12 marbles on his desk
Answer:
log (2x)=3
2=ln 3x)
4=log(x)
f(x=1)=−1f(x=2)=1f(x=3)=3
Which set of ordered pairs does not represent a function?
Answer: b
Step-by-step explanation: in order to be a function an input value should only have one output value. 8 has two output values ( 2 and -1 ) so it’s not a function.
I know what the answer is but the teacher wants me to explain helpppppp
answer: 8
Steps / explaination
UDD Question 6 10 pts Solve for x. Round to the nearest tenth (one decimal place). Just type the number, no unit of measurement. G X 240 DI F 48 Next * Previous
Answer:
The answer is;
54.4
Step-by-step explanation:
The given parameter are;
Triangle ΔFGH = Right triangle
The length of segment [tex]\overline {FH}[/tex] = 48
The measure of ∠HFG = 28°
The measurement required = The measure of segment [tex]\overline {FG}[/tex] = x
The measure of ∠FHG = 90° angle opposite hypotenuse side of a right triangle
Therefore, ∠FGH = 180° - ∠HFG - ∠FHG = 180° - 90° - 28° = 62°
∠FGH = 62°
By sine rule, we have;
[tex]\overline {FH}[/tex]/(sin ∠FGH) = [tex]\overline {FG}[/tex]/(sin(∠FHG)
By substituting the known values, we have;
48/(sin 62°) = x/(sin(90°)
sin(90°) = 1, therefore, we have;
x/1 = x = 48/(sin 62°) = 54.4 (by rounding the answer to the nearest tenth)
x = 54.4
whats two hundred x two hundred 200x200
Answer:
its 40,000
Step-by-step explanation:
Need help asap please
Answer: it is B. 39t + 54
Step-by-step explanation:
9(4t + 6) + 3t --- (distribute the 9 to 4t and 6 (9(4t) + 9(6))
36t + 54 + 3t --- (combine like terms, 36t + 3t)
39t + 54
You are in the buy and sell business. find out the wholesale price of an item (e.g. t-shirt, soap,toy) suppose you buy 24 pieces of that item at wholesale price. atleast at what price should you tell each item to have a 25% profit? how much will be your total profit in pesos from these items?
With explanation please!!
The wholesale price isn't given, suppose the wholesale price is $5
Answer:
$6.25 ; 1441.8 pesos
Step-by-step explanation:
Number of items purchased = 24
Wholesale price of item = x
To obtain a 25% profit, the sales price would be :
Wholesale price = wholesale price + 25% of wholesale price
(x = x + 0.25x) per unit
For 24 items :
24x + 0.25 * 24x
Unit wholesale price = 5
24(5) + 0.25*24(5)
= $150
Hence, sale price per unit will be :
$150 / 24
= $6.25
Total profit in pesos :
1 dollar = 48.06 pesos
Total profit = $150 - 24(5) = $150 - $120 = $30
$30 = (30 * 48.06) = 1441.8 pesos