Answer:
b. $842.97
Step-by-step explanation:
The computation of the amount after 5 years in the case of compounded continuously is as follows:
= Invested amount × e^{rate × time period}
= $600 × e^{6.8% × 5}
= $600 × e^ 0.34
= $600 × 1.404947591
= $842.97
Hence, the amount after 5 years in the case of compounded continuously is $842.97
Graph the line that represents a proportional relationship between y and x where the unit rate of change of y with respect to x is 4/5. In other words, a change of 1 unit in x corresponds to change of 4/5 units in y. Graph the line and write the equation of the line.
Answer:
The required line is will be:
y = 4/5xThe graph of the line y = 4/5x is attached below.
Step-by-step explanation:
We know that when y varies directly with x, we get the equation
y ∝ x
y = kx
k = y/x
where k is called the 'constant of variation'.
It is also clear that 'constant of variation' basically represents the slope m or rate of change, with the lines passing through the origin, so
given
k = 4/5
substitute k = 4/5 in the equation y = kx
y = kx
y = 4/5x
Therefore, the required line is will be:
y = 4/5xThe graph of the line y = 4/5x is attached below.
Find the zero of the function below:
f(x) = 4x + 12
Answer:
x = - 3
Step-by-step explanation:
To find the zero, let f(x) = 0, that is
4x + 12 = 0 ( subtract 12 from both sides )
4x = - 12 ( divide both sides by 4 )
x = - 3 ← is the zero
What answer choice is the correct one
Answer:
A
Step-by-step explanation:
The answer is a because it goes below the x line into - X because its only 90° but doesn't cross into the - y, I don't know how to explain it better but I hope this helped!
HELP ME PLEASE..........
Answer:
Deal 2
Step-by-step explanation:
Deal 2, has an average of about
$20 for 5 miles,
$45 for 15 miles,
$60 for 20 miles.
Deal 1 has a higher rate cost for 15 and 20 miles than Deal 2. So Deal 2 has a lower cost of rate with makes it more optional.
what is 6(x+4)+1 what is the answer
Answer:
6x-23
Step-by-step explanation:
6(x+4)+1
Distribute:
=(6)(x)+(6)(4)+1
=6x+24+1
Combine Like Terms:
=6x+24+1
=(6x)+(24+1)
=6x+25
Last year only 60 people attended the annual holiday choir concert. This year it was mandatory that everyone bring guests, so there were 180 attendees. What is the percent increase?
I NEED THE ANSWER PLEASE
Answer:
200%
Step-by-step explanation:
Can you please answer this it’s argent
Thank you
Answer:
d c a b
Step-by-step explanation:
a=28/60
b=40/60
c=15/60
d=6/60
so d<c<a<b
Answer:
a=28/60
b=40/60
c=15/60
d=6/60
thank you for your efforts
HELP ME PLEASE!! ASAP IF YOU CAN IM STUCK ON THIS QUESTION
Answer:
5x=15
Step-by-step explanation:
Product means multiplication, and 5x=15 is the only one doing multiplication
find the value of..
Step-by-step explanation:
[1/2]^-2= 4
[1/3]^-2=9
[1/4]^-2=16
So sum is 4+9+16=29
Hope this helps you.
Please help and thank you
Answer:
30
Step-by-step explanation:
15/3=5
5 x 5 = 25
25 + 5 = 30
Answer:
C
Step-by-step explanation:
Given
5² + (x ÷ 3) ← substitute x = 15 into the expression
= 25 + (15 ÷ 3)
= 25 + 5
= 30 → C
i need help plzzzzzz
Answer:
club godzilla
Step-by-step explanation:
Please help me! Will give Brainliest!!
Answer:
BC
Step-by-step explanation:
if u think about it, its pretty easy, if I'm wrong probably mistake but i tried my best
Answer:
BC is the correct answer
hope it is helpful to you
The point C(2,3) is translated along a vector that is parallel to the line y=3x-2. The translation vector has magnitude square root of 10. What are the possible images of point C? Fill in as many answers as possible.
Step-by-step explanation:
The translation vector v can be resolved into its x and y components, where x² + y² = 10 (Pythagoras' Theorem) and y = 3x
(parallel to y = 3x - 2, slope = 3).
We have x² + (3x)² = 10,
=> x² + 9x² = 10, 10x² = 10, x = 1 or x = -1.
When x = 1, y = 3. When x = -1, y = -3.
Therefore 2 possible translation vectors
are (1, 3) or (-1, -3).
First new C' = (2 + (1), 3 + (3)) = (3, 6).
Second new C'= (2 + (-1), 3 + (-3)) = (1, 0).
The possible images are (3, 6) and (1, 0).
At a small college of the students live on campus. There are 14 students in a Biology class. What is the probability that 10 of the students live on campus ? {Express answer as a percentage , round answer to the nearest tenth)
Answer:
10/14
Step-by-step explanation:
Step-by-step explanation:
Probability = No. of students living in campus/Students in biology class
= 10/14= 5/7
=>5/7 into % = (5/7)×100=71.428%
Now round the answer to the nearest tenth
=> 71.428%=71%
Hope this helps you.
Which figure(s) appears to have exactly one line of symmetry?
What is The slope of the Line?? DONT UNDERSTAND
Answer:
c
Step-by-step explanation:
convert into slope intercept and you will have 2x
2= 2/1
2 1/3 - 1 1/4
What is the answer PLZ HELP
On your family plan you have 6 GB data limit each month you were your brother he cheats 0.75 GB each month and your mother and father split the rest even like to stay under the limit how much data can your mother and father each use
Answer: See explanation
Step-by-step explanation:
Your question isn't well written but I guess you meant that 0.75gb was shared at first. This means that the father and mother will share:
= 6 - 0.75
= 5.25
Therefore, each of them will use:
= 5.25 / 2
= 2.625gb
please help me on this question
Answer:
3x + 4y = - 20
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{3}{4}[/tex] , thus
y = - [tex]\frac{3}{4}[/tex] x + c ← is the partial equation
To find c substitute (- 8, 1) into the partial equation
1 = 6 + c ⇒ c = 1 - 6 = - 5
y = - [tex]\frac{3}{4}[/tex] x - 5 ← in slope- intercept form
Multiply through by 4 to clear the fraction
4y = - 3x - 20 ( add 3x to both sides )
3x + 4y = - 20 ← in standard form
solve this problem here vv:
Answer:
3
Step-by-step explanation:
Answer:
3 coefficients or answer c
Step-by-step explanation:
A coefficient is a holder of a vairable for example 5x in this equation 5 is the variable.
hope this helped brutherrr
4.
Determine distance between (3,-4) and (-2;-10).
Answer:
Step-by-step explanation:
1. Use distance formula d=√((x_2-x_1)²+(y_2-y_1)²)
2. Plug in the coordinates
3. Solve
4. d=61
d/4 > 5
solve for the variable
The answer is d > 20
hope this helps:)
the height of an object thrown vertically is given by s=-16t^2+100t+200. Height is meter and time is n seconds.
Answer:
456.25m
Step-by-step explanation:
Since the question did not ask for what to find, we can as well look for the maximum height reached by the object
Given the height of an object thrown vertically expressed as;
s=-16t^2+100t+200.
At max height,
dS/dt = 0
-32t+100 = 0
-32t = -100
t = 100/32
t = 3.125s
Get the Max height
s(3.125) = -16(3.125)²+100(3.125)+200
s(3.125) = -156.25+312.5+200
s(3.125) = 456.25m
Hence the maximum height reached by the object is 456.25m
What is the simplified form of this expression??
Answer:
-(7 x^2 - 3 x - 5) thus A.
Step-by-step explanation:
Simplify the following:
-(4 x^2 - 2 x) - 3 x^2 + x + 5
Hint: | Factor common terms out of 4 x^2 - 2 x.
Factor 2 x out of 4 x^2 - 2 x:
-3 x^2 + x + 5 - 2 x (2 x - 1)
Hint: | Distribute -2 x over 2 x - 1.
-2 x (2 x - 1) = 2 x - 4 x^2:
2 x - 4 x^2 - 3 x^2 + x + 5
Hint: | Group like terms in -3 x^2 - 4 x^2 + 2 x + x + 5.
Grouping like terms, -3 x^2 - 4 x^2 + 2 x + x + 5 = (-3 x^2 - 4 x^2) + (x + 2 x) + 5:
(-3 x^2 - 4 x^2) + (x + 2 x) + 5
Hint: | Combine like terms in -3 x^2 - 4 x^2.
-3 x^2 - 4 x^2 = -7 x^2:
-7 x^2 + (x + 2 x) + 5
Hint: | Add like terms in x + 2 x.
x + 2 x = 3 x:
-7 x^2 + 3 x + 5
Hint: | Factor a minus sign out of -7 x^2 + 3 x + 5.
Factor -1 out of -7 x^2 + 3 x + 5:
Answer: -(7 x^2 - 3 x - 5)
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Seventh grade
* 3.14 Solve proportions: word problems WB7
Questio
answer
Rodrigo baked 35 cookies with 5 scoops of flour. How many scoops of flour does Rodrigo
need in order to bake 63 cookies? Assume the relationship is directly proportional.
36
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33
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63
00
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Step-by-step explanation:
what is the LCM of 36 and 8
72 is the lcm because a LCM means The Least Common Multiple
Can someone really help me please
Answer:
a
Step-by-step explanation:
Answer:
I'm not really sure but i think it is A
(05.03)
What is the rate of change and initial value for the linear relation that includes the points shown in the table? (4 points)
ху
2 3
4 5
6 7
8 9
Initial value: 1, rate of change: 2
Initial value: 1, rate of change: 1
ООО
Initial value: 2, rate of change: 2
Initial value: 3, rate of change: 2
Help me please and hurry 20 points
Answer:
The two equations represented by the graph is -x+1=1 and y-2=4
Step-by-step explanation:
The reasoning behind this is that the slope move upward with the x equation and downward with the y. :)
tHE FACT THAT YOU GUYS ACTUALLY THOUGHT THIS WAS THE RIGHT ANSWERRRRR LOLOL SMH
trainers cost $60
The exchange rate is $1 = £0.749
Rehan says,
“The trainers cost less than £40”
Rehan is wrong.
Using a suitable approximation, show working to explain why.
Answer:
60 x 0.749 = 44.94
£44.94 > £40
Step-by-step explanation:
