Answer:
The amount is 8,322
Step-by-step explanation:
To get this , we are going to use the compound interest formula
A = P( 1 + r/n)^nt
A is the amount we are calculating
P is the amount deposited = 6,500
r is the interest rate = 5% = 5/100 = 0.05
n is the number of times per year the interest is compounded
= 2 since it is semi-annually
t is the number of years = 5
Substituting these values, we have it that ;
A = 6,500(1 + 0.05/2)^10
A = 6,500(1.025)^10
A = 8,322
What is the solution of this system?
g(x)=-|x| ; find g(-4)
Answer:
-4
Step-by-step explanation:
Plug in -4 for x, so the absolute value of -4 is 4. However, there's a minus sign out in front still, so it gets tacked on to the 4. So, g(-4)=-4
A group of students are studying two models of solids, liquids, and gases. The students have been given an ice cube that has been dyed blue, and the students are to carefully place the ice cube in a container of room temperature water.Which is the appropriate question to ask prior to the experiment?
A. Will the particles of water lose heat and begin to move faster?
B. Will the particles of ice absorb heat from the water and begin to move faster?
C. Will the particles of ice lose heat to the water and begin to move slower?
D. Will the particles of water gain heat and begin to move faster?
Answer:
B. Will the particles of ice absorb heat from the water and begin to move faster?
Step-by-step explanation:
h(1)= 9
h(n)=h(n−1)⋅(-3)
Find an explicit formula for h(n).
h(n)= ?
Given:
[tex]h(1)=9[/tex]
[tex]h(n)=h(n-1)\cdot (-3)[/tex]
To find:
The explicit formula for h(n).
Solution:
We have,
[tex]h(n)=h(n-1)\cdot (-3)[/tex] ...(i)
It is the recursive formula of a geometric sequence. It is of the form
[tex]a(n)=a(n-1)\cdot r[/tex] ...(ii)
where r is the common ratio.
On comparing (i) and (ii), we get
[tex]r=-3[/tex]
We have, [tex]h(1)=9[/tex] so the first term of the geometric sequence is [tex]a=9[/tex].
The explicit formula for a geometric sequence is:
[tex]h(n)=ar^{n-1}[/tex]
Substitute a=9 and r=-3 to get the explicit formula for the given sequence.
[tex]h(n)=9(-3)^{n-1}[/tex]
Therefore, the required explicit formula is [tex]h(n)=9(-3)^{n-1}[/tex].
Solve for equation Y
15x + 10y = 400
Answer:
15x +10y =400
All divide by 5
3x +2y =80
2y=80 - 3x
y=80-3x/2
-3 -5= pleaseeee help me asaappp
Answer:
-8?
Step-by-step explanation:
Two exponential functions, fand g, are shown in the figure below, where g is a transformation of f.
Y
4
f
2
X
2
4
- 2
9
2
Which of the rules given below shows the transformation of f?
OA g(x) = f(x) - 4
O B. g(x) = fx-4)
OC.
g(x) = f(x + 4)
OD. g(x) = f(x) + 4
Answer:
A.) g (x) = f (x) - 2
Step-by-step explanation:
The first thing we are going to do in this case is to take into account the following definition.
Translations are transformations that change the position of the graph of a function.
The general shape of the graph of a function is moved up, down, to the right or to the left.
The translations are considered rigid transformations. Now we will see how these are performed.
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
To graph y = f (x) -k, move the graph of k units down.
Using the definition we conclude that:
g (x) = f (x) - 4
Two exponential functions, fand g, are shown in the figure, where g is a transformation of f, g (x) = f (x) - 4 equation shows transformation of f. The correct option is A.
What is exponential function?A mathematical function of the form [tex]f(x) = a^x[/tex], where an is a positive constant and x is the input variable, is an exponential function.
The characteristic curve of exponential functions rises or falls rapidly depending on whether an is greater or less than 1.
To determine the transformation of f which gives g, we need to examine how f has been transformed to obtain g.
Looking at the graph, we can see that g is a vertical shift of f. Specifically, g is obtained by shifting f downward by 2 units. Therefore, we need a rule that subtracts 2 from f (x) to get g (x).
Out of the given options, the only one that matches this description is:
g (x) = f (x) - 4
Option A subtracts 4 from f (x), which is not what we observe in the graph. Option B uses an incorrect format and is also subtracting 4 from f (x).
Option C adds 4 to x, which would result in a horizontal shift, not a vertical shift.
Therefore, the correct answer is A g (x) = f (x) - 2.
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PLS HELP ME 12x - 15 = 6 - 3x
Can you pls show me the solving steps and the answer I have to type a paper on how to solve this problem help me plsss (10 points)
Answer:
x= 21/15
if you need to reduce it would be x=7/5
Step-by-step explanation:
12x-15 =6-3x
add 3x to both sides
15x- 15 = 6
now add 15 to both sides
15x = 21
lastly divide both sides by 15
x= 21/15
if you need to reduce it would be x=7/5
Answer:
x = 7/5 or 1.4
Step-by-step explanation:
12x - 15 = 6 - 3x Need to move one variable term to the other side to
+3x + 3x isolate it on one side
---------------------------
15x - 15 = 6 need to +15 to isolate the variable term
+15 +15
-----------------------
15/15x = 21/15 (simplify 21/15 = 7/5) need to divide by 15 to isolate x
------------------------
x = 7/5 or 1.4
Use elimination to solve the system of equations. Enter your answers in the boxes.
3x - 2y = 24
x + 2y = 48
X =
Hy=
v
Answer:
x = 18 , y = 15
Step-by-step explanation:
Given the 2 equations
3x - 2y = 24 → (1)
x + 2y = 48 → (2)
Adding the 2 equations term by term will eliminate the y- term
4x + 0 = 72
4x = 72 ( divide both sides by 4 )
x = 18
Substitute x = 18 into either of the 2 equations and solve for y
Substituting into (2)
18 + 2y = 48 ( subtract 18 from both sides )
2y = 30 ( divide both sides by 2 )
y = 15
Question 24 of 25 Use the quadratic formula to find the solutions to the equation. x² – 3x+1=0
A. 3: 115 4
B. 3 + 2/5 2
C. 2 + √24 2
D. 5 + 10 3
The solutions to the given quadratic equation are (3+√5)/2 and (3-√5)/2.
What is the quadratic formula?Quadratic formula is the simplest way to find the roots of a quadratic equation.
The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.
The given quadratic equation is x²-3x+1=0.
By comparing x²-3x+1=0 with ax²+bx+c=0, we get a=1, b=-3 and c=1.
Now, x= [3±√((-3)² - 4×1×1)]/2×1
= [3±√(9-4)]/2
= (3±√5)/2
So, the solutions to the given equation are (3+√5)/2 and (3-√5)/2.
Therefore, the solutions to the equation are (3+√5)/2 and (3-√5)/2.
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Help me pls thanks so much
Answer: The angle is 35 is specifically 34.85
Step-by-step explanation:
[tex]sin^{-1}[/tex]([tex]\frac{8}{14}[/tex])=34.85
What is the measurement of angle arc
Answer:
32°
Step-by-step explanation:
90 - 58 = 32
b = 32°
7) Isidro pays $20 a month for Netflix. He also pays $0.10 for each
show he streams. Last month Isidro had a Netflix bill of $40. Write
and solve an equation to determine how many shows Isidro streamed
last month.
Answer:
200 shows
Step-by-step explanation:
subtract the total ($40) from how much he pays a month ($20) to get the total of how much he paid in shows total ($20)
40-20=20
divide the total bill of shows ($20) by how much it costs per show ($0.10) to get how many shows he has watched (200)
20/0.10=200
Hope this helps!!
A portable CD player is on sale.
It is advertised as, “Save $20. You pay
$49.99."
a) What is the regular price?
b) What is the percent decrease?
The ratio of rabbits to guinea pigs in a shop is 2:7.
The ratio of brown rabbits to grey rabbits is 2:3.
What fraction of the animals in the shop are grey rabbits?
Answer:
b po
Step-by-step explanation:
sana po matulong po ako
2 (3x - 5) + 4 = -18
Solve for 20 Points
Answer:
x = -2
Step-by-step explanation:
2(3x - 5) + 4 = -18
Distribute the 2
6x - 10 + 4 = -18
6x - 6 = -18
Add 6 to both sides
6x = -12
Divide both sides by 6
x = -2
Check:
2(3x - 5) + 4 = -18
substitute x = -2 into the original equation
2(3(-2) - 5) + 4 = -18
2(-6 - 5) + 4 = -18
2(-11) + 4 = -18
-22 + 4 = -18
-18 = -18
So x = -2 is true.
Answer:
x=-2
Step-by-step explanation:
2(3x-5)+4=-18
We move all terms to the left:
2(3x-5)+4-(-18)=0
We add all the numbers together, and all the variables
2(3x-5)+22=0
We multiply parentheses
6x-10+22=0
We add all the numbers together, and all the variables
6x+12=0
We move all terms containing x to the left, all other terms to the right
6x=-12
x=-12/6
x=-2
find the constant proportionality
y= X/6
NEED HELP PLEASE HELP HURRY FAST
Answer:
D this is because -2 times 3 is -6 and 1 times 4 is 4 so -6+4=-2 and 2 times -2 is -4 and 1 times -4 is -4 so -4-4 is -8 D
Step-by-step explanation:
What Is y=13-x slope and y intercrept
Answer: slope -1; y-intercept is 13, (0,13)
Step-by-step explanation:
We rewrite the function as y = -x + 13
y = mx + b; m is the slope, b is the intercept, by comparison, we found that the slope is -1, and the y-intercept is 13.
Jonah tore the angles off a large paper triangle. Then he arranged the three paper angles with their points together so that there were no gaps and no overlaps. What kind of angle did Jonah form?
A. acute angle
B. right angle
C. obtuse angle
straight angle
Answer:
The answer is A. Straight angle
16 points scored in 4 games: 48 points scored in 8 games
Answer:
4:6
Step-by-step explanation:
The expression 0.75 + 0.15c can be used to find Mr. Thompson's cost for making c cookies. How much does it cost mr. Thompson to make 45 cookies?
Angles a and b are complementary angles symmetry of angle a is 28° more than the measure of angle b find the missing angle measures
Answer:
31 , 59
Step-by-step explanation:
a = b +28
a + b = 90 {Complementary}
b + 28 + b = 90 {Combine like terms}
2b + 28 = 90 {Subtract 28 form both sides}
2b = 90 - 28
2b = 62 {Divide both sides by 2}
b = 62/2
b = 31
a = 31 + 28
a = 59
John says the transformation rule (x, y) Right-arrow (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2). What was his error?
sample response: The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.
Answer:
The transformation rule should be applied to the pre-image. The application of the rule results in the point (8, 12). The transformation rule was applied to the wrong point.
Step-by-step explanation:
Please help me! I'll give brainliest to the best answer! (Sorry its sideways.)
Answer:
225.
Step-by-step explanation:
If 4 jalapenos cost $0.45, how much is 1 jalapeno?
Answer:
$0.11 approx
Step-by-step explanation:
If 4 jalapenos cost $0.45, how much is 1 jalapeno?
Given data
We are told that 4 jalapenos cost $0.45
If 4 jalapenos cost $0.45
the 1 jalapenos cost x
cross multiply
x= 0.45/4
x= 0.1125
Hence the cost of 1 jalapenos is $0.11 approx
I want to give away some points so whoever can answer 1+1 your a big brain and deserve the points!
Answer:
2
Step-by-step explanation:
Answer: 2
Step-by-step explanation: 1 2 3 so 1 + 1 is 2
Evaluate the following i¹⁹⁸
-1
1
√-1
1i
Answer:
i^198 is -1
hope I helped :)
guys, im so dAmm mad right now
i deleted a whole essay!!!!!!!!!!
im gonna D1E
AAaAAHHHHhhHHhHHhH
Answer:
oh snap
Step-by-step explanation:
at least it isn't due in 10 mins right? that happened to me.... luckily I saved 1st draft
Answer: I feel bad to you
Step-by-step explanation:lol
*Giving Brainliest* Tickets for the Valentine Dance cost $3 per person or $5 per couple. If $475 worth of tickets were sold and 180 people attended the dance, how many couples were there?