Answer:
24.2%
Step-by-step explanation:
If we take 100 for example, an 8% increase would make it 108, and a further 15% increase would make it 124.2 and 124.2 is 124.2% of 100 and if we minus the initial value of 100% it would be 24.2%
Bridgette has $1,000 to invest. She has two different investment options, shown in the table below. Each option would give her a different value over three years.
Number of Years 1 2 3
Option A (amount in dollars) 1100 1200 1300
Option B (amount in dollars) 1100 1210 1331
Part A: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option A? Explain your answer.
Part B: Write a function, a(t), to describe the value of the investment, in dollars, of Option A after t years.
Part C: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option B? Explain your answer.
Part D: Write a function, b(t), to describe the value of the investment, in dollars, of Option B after t years.
Part E: Bridgette wants to invest in whichever option would increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Bridgette's investment after 20 years if she uses Option A over Option B? Explain your answer, and show the investment value after 20 years for each option.
Answer:The answer is B
Step-by-step explanation:
Is 0.000027 greater than 270?
Answer:
no because it is lower than 1 and 270 is higher
Answer:
No, because 0.000027 is a decimal. Any decimal with 0. *something* will be less than one. 27 is more than one. Thus, the statement is false.
Find the hypothesis for side a 16 side b 20
I think you mean to say "hypotenuse". If so, then use the pythagorean theorem to get the following
a^2 + b^2 = c^2
16^2 + 20^2 = c^2
256 + 400 = c^2
656 = c^2
c^2 = 656
c = sqrt(656)
c = sqrt(16*41)
c = sqrt(16)*sqrt(41)
c = 4*sqrt(41)
The hypotenuse is exactly 4*sqrt(41) units long
This is approximately 25.612 when you use your calculator.
Plz answer these two and I will give you brainliest
Answer:
1. -9. 2.i cant see what all the options are but the slope is y= 1/2x -3
Step-by-step explanation:
Hope this helps :)
work out the size of angle x.
image included
Answer:
x = 105°
General Formulas and Concepts:
Geometry
Corresponding AnglesStep-by-step explanation:
If the 2 lines are parallel, which they are, we can use specific theorems to help us solve for different angles.
Here, we see that we will use the Corresponding Angles Theorem. According the the theorem, this will allow us to find our value for x.
Answer:
Step-by-step explanation:
x° = 105°
Angles are corresponding
Please help this has to be done! (Will give Brainiest!!) 20 Points!
Answer:
A and E
Step-by-step explanation:
7 1/2 / 2 = 15/4
A. 2 x X = 7 1/2
x = 15/4
E. X x 2= 7 1/2
x = 15/4
EASY POINTS AND BRAINLIEST IF RIGHT!!
Diane flipped a coin 600 times and it landed heads up 240 times. What is the relative frequency of the coin landing heads up based on the results of this experiment?
4%
6%
40%
60%
Step-by-step explanation:
The relative frequency of the coin landing heads up is 0.4 or 40%.
Step-by-step explanation:
We are given that,
Total number of times coin is tossed = 600
Number of times heads comes = 240
Since, 'relative frequency' is the fraction of number of times an event occurs and the total number of events.
Thus, the relative frequency that heads comes = \frac{240}{600}
600
240
i.e. Relative frequency that heads comes = 0.4 or 40%
Thus, the relative frequency of the coin landing heads up is 0.4 or 40%.
Answer: 40%
Step-by-step explanation:
A line's y-intercept is 9, and its slope is 10. What is its equation in slope-intercept form?
Answer:
y=10x+9
Step-by-step explanation:
Slope intercept form is y=mx+b
m represents slope so 10 replaces the m
b represents the y-intercept (where the line crosses the y-axis) so 9 replaces the b
Help me please!?!?!?!?????
Answer:
1
Step-by-step explanation:
Find the 15th term of the arithmetic sequence whose common difference is d=9 and whose first term is a, = 2.
the difference between two numbers is 48. the ratio of the two nukbers is 7:3. what are tge two numbers
The difference between the two numbers is 48. The ratio of the two numbers is 7 : 3. Hence, 84 and 36 are the two numbers.
Given :-
The difference between the two numbers is 48.
The ratio of the two numbers is 7 : 3.
To Find :-
The Two Numbers
Solution :-
Let the first number be 7x
And the second number be 3x
According to the Question,
⇒ 7x - 48= 3x
⇒ 7x-3x = 48
⇒ 4x = 48
⇒ x = 48/4
⇒ x = 12
1st number is= 7x = 84
2nd number= 3x = 36
Hence, 84 and 36 are the two number
In which figure is point G a centroid?
a
b
c
d
Answer:
Step-by-step explanation:
You didn't provide us with correct choice
The centroid of a triangle is the point of intersection of its medians.
The lines that pass through the centroid of a triangle divides the side lengths of the triangle into equal halves.
The figure whose centroid is point G is triangle LMN.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Now, From the attached image, we have the following highlights
There is no evidence that the lines that pass through point G divides the three sides of triangle ABC into equal halves
The lines that pass through point G divides the three sides of triangle LMN into equal halves
The above highlights mean that:
Point G is the centroid of triangle LMN.
Hence, the figure whose centroid is point G is triangle LMN.
Read more about centroids at:
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What is the value of x?
(2x)
0 22.5
0 30
O 45
Instructions: Solve the following literal equation.
Solve P-2w/2= l for P.
Answer:
P=l+w
Step-by-step explanation:
Solve for P by simplifying both sides of the equation, then isolating the variable.
Line m is perpendicular to x - 3y =-1 and passes through (9, 4). What is the slope of line m?
A. 1/3
B. -3
C. 4
D. 3
Answer:
d)3
Step-by-step explanation:
y=mx+b
x-3y=-1
reform as the equation above
x+1=3y
simplify --> y=1/3x+1/3
perpendicular lines have opposite-reciprocal slopes
so the answer is 3
Susan needs to buy 3 helium balloons. She can buy individual balloons for $2.75 each, or a 3-pack of balloons for $7.80. How much will Susan save per balloon if she buys a 3-pack instead of individual balloons?
Answer:
15
Step-by-step explanation:
8.25 minus 7.80 is 0.45 45 divided by 3 is 15 so the answer is 15
Will give brainliest if correct.
Answer:
x-int: (5, 0)
y-int: (0, 4)
General Formulas and Concepts:
Alg I
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis. The x-intercept is the x value when y = 0. Another way to reword that is when the graph crosses the x-axis.Step-by-step explanation:
x-int
According to the graph, it crosses the x-axis at 5. Therefore, our x-int is (5, 0)
y-int
According to the graph, it crosses the y-axis at 4. Therefore, our y-int is (0, 4)
2. For Halloween Janet gives 2 candy bars to each kid that
trick-or-treats at her house. Janet bought a bag of candy that
has 125 candy bars. Write an equation describing the
relationship between the number of kids, k, who come to
Janet's house on, and the amount of candy bars, c, she has
remaining.
Answer:
she can give out candy to 62 kids
Step-by-step explanation:
there is ur answer
Answer:
The equation is y = -2x + 125
Step-by-step explanation:
Let x represent the # of kids
And let the 125 as the starting amount of candy bars she has
and also its correct trust me
Pls mark me as brainliest
WILL GIVE BRAINLIEST !!!
Find the equation of the line. Use the exact numbers.
Equation: y = __x + __
Answer:
Step-by-step explanation:
y=2/3x+4. 4 is the y intercept. 2/3 is the slope. y=mx+b where m is the slope and b is the y intercept
how do you write y - 1 = -1/3(x - 6) in standard form
Answer:
y= -1/3x+3
Step-by-step explanation:
Distribute the -1/3
Add the -1 to both sides to get y by itself
Find the soultion, marked as brainlest
Answer:
It is (3,1)
Step-by-step explanation:
Plz name me brainliest I would greatly apreciate it I just need one more
HELPPPP!!!!!
Which of the following describes a solution to the inequality 4x - 2y< 8?
(3, 0)
(4,4)
(-6, 4)
(8,6)
(-2,-4)
Mrs. Dobbs rides a taxi that charges a flat rate of $6.75 plus $3.20 per mile. The taxi charges Lupita $40.03 in total for her trip.
Subtract the flat rate from the total, then divide by price per mile for total miles:
40.03 - 6.75 = 33.28
33.28/3.20 = 10.4 miles.
Lupita drove 10.4 Miles for her trip.
Explanation:
40.03 - 6.75 = 33.28 dollars left
33.28 ÷ 3.20 = 10.4 Miles
Find out how long it takes a $ investment to double if it is invested at compounded . Round to the nearest tenth of a year. Use the formula . A. years B. years C. years D. years
Answer:
(A) 8.8 years
Step-by-step explanation:
Given that the principal amount = $ 3100
Rate of compound interest = 8% compounded semiannually.
The given formula is
[tex]A=P\left(1+\frac{r}{n}\right)^{nt}[/tex]
Where A is the final amount, P is the principal amount, r is the rate of compound interest, t is the time and n is the number of times per year the interest is compounded.
From the given condition,
P=$3100
r= 8%=0.08 compounded semiannually
n=2
A=2 x 3100=$ 6200.
Put all these in the given formula to get the required time, we have
[tex]6200=3100\left(1+\frac{0.08}{2}\right)^{2t}[/tex]
[tex]\Rightarrow \left(1+0.04\right)^{2t}=6200/3100[/tex]
[tex]\Rightarrow 1.04^{2t}=2\\\\\Rightarrow 2t\log_{10}(1.04)=\log_{10}(2)\\ \\\Rightarrow 2t =\frac{\log_{10}(2)}{\log_{10}(1.04)}\\\\\Rightarrow 2t =17.673\\\\\Rightarrow t = 17.673/2=8.8365\\[/tex]
On rounding to the nearest tenth of a year, t=8.8 years.
So, the invested amount will be double in 8.8 years.
Hence, option (A) is correct.
how to use the pythagorean theorem on a rectangle that is missing a side and its represented by a letter?
Answer:
Wrong
Step-by-step explanation:
Pythagorean theorem is not used for rectangles but only for triangles
Is this equations linear?
Answer:
No
Step-by-step explanation:
There can not be x and y both attached to one coefficient.
Answer:
No
Step-by-step explanation:
Its not linear because the equation has "3xy" in it.
plz help me simplify 3x+7x−28+31−8x
Answer:
2x+3
Step-by-step explanation:
3x+7x−28+31−8x
10x-28+31-8x
(10x-8x)(-28+31) (combine like terms)
=2x-3
WILL GIVE BRAINLIST!
Answer:
x=60
Step-by-step explanation:
Answer: The equation 60 + x= 3x -70 could be set up to solve for x.
Step-by-step explanation:
The two remote interior angles sums will equal to the exterior angle .
Meaning that angle 60 plus angle x has to equal to angle 3x -70.
60 + x= 3x -70 Now solve for x by adding 70 to both sides
+70 +70
130 + x = 3x Now subtract x from both sides
-x -x
130 = 2x Divide both sides by
x = 65
find (fg)(x) where: f(x)=3x^2-4 g(x)=x^3+5x)
Answer:
3(x^3 + 5x)^2 - 4 (please mark brainliest)
Step-by-step explanation:
plug g equation into x values of f equation
f equation = 3(x)^2 - 4
^g goes here
So....
3(x^3 + 5x)^2 - 4
^ g goes here
Composite function is a function in another function. The composite function f(g)(x) is equivalent to 3(x³ + 5x)² -4
Composite functionsComposite function is a function in another function
Given the following functions
f(x)=3x^2-4
g(x)=x^3+5x
f(g(x)) = f(x³ + 5x)
Substitute x³ + 5x into the function f(x)
f(x³ + 5x) = 3(x³ + 5x)² -4
Hence the composite function f(g)(x) is equivalent to 3(x³ + 5x)² -4
Learn more on composite function here: https://brainly.com/question/13502804
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Somebody plz help me ?
Answer:
33
Step-by-step explanation:
