Step-by-step explanation:
Our interest equation is s(x) = (1.05)^(x - 1). This is actually a part of a bigger formula for calculating the amount of money accumulated including interest:
A = P(1 + r)^n, where A is the total, P is the principal amount (initial amount), r is the interest rate, and n is the time
Here, we technically already have the (1 + r)^n part; it's just (1.05)^(x - 1). The principle, though, will actually be the 200 because she starts out at $200.
Thus, to combine these, we simply multiply them together to get:
h(x) * s(x) = 200(1.05)^(x - 1)
ps.can u pls mark me as the brainliest you'll also get point for that;)
Victoria can combine the two functions to model the total amount of money. Then the equation will be given below.
[tex]\rm h(x) \times s(x) = 200 \times (1.05)^{x-1}[/tex]
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function
[tex]\rm h(x) = 200[/tex]
She reads about a bank that has savings accounts that accrue interest according to the function
[tex]\rm s(x) = (1.05)^{x-1}[/tex]
[tex]A = P(1 + r)^n[/tex]
where A represents the sum, P represents the principal (starting amount), r represents the interest rate, and n represents the time.
To combine these, we simply multiply them by each other, yielding:
[tex]\rm h(x) \times s(x) = 200 \times (1.05)^{x-1}[/tex]
More about the compound interest link is given below.
https://brainly.com/question/25857212
This year Amanda watched 80 movies. She thought that 56 of them were very good. Of the movies she watched, what percentage did she rate as very good?
Is (6,0) a solution of 5x-y=9?
Answer:
No
Step-by-step explanation:
5(6)-(0)≠95(6)-(0)=30age at BBM 2019 Question Group 'A Brief answer questions; 1. Integrate the following: S(ax? + 2bx + c)3/2(2xa + 2b) dx 2.
If the integral is
[tex]\displaystyle \int (ax^2+2bx+c)^{3/2}(2ax+2b)\,\mathrm dx[/tex]
substitute [tex]u = ax^2+2bx+c[/tex] and [tex]\mathrm du=(2ax+2b)\,\mathrm dx[/tex]. Then you end up with
[tex]\displaystyle \int u^{3/2}\,\mathrm du = \frac25u^{5/2} + C[/tex]
which in terms of x is
[tex]\boxed{\dfrac25(ax^2+2bx+c)^{5/2} + C}[/tex]
(25x3) + (10x3) is my question i dont know the answer
Answer:
75+30=105....................
Akilometer is approximately 1094 yards . Toby runs a 6 km race. About how many yards does he run?
What is the sum of two comsecutive integers
Answer:
The sum of any two consecutive numbers is always odd. Example, 4 + 5 = 9; –8 + (–7) = –15.
Find the final amount of money in an account if $1,700 is deposited at 5.5 % interest compounded
quarterly (every 3 months) and the money is left for 8 years.
The final amount is $
Round answer to 2 decimal places
Answer:
74800 is the amount of $1700 at the rate of 5.5 for 8 yrs
how to complete this question?
Answer:
f(x) = [tex]-2^{x+1}-1[/tex]
Step-by-step explanation:
I. If you see (0, -3) point on the green line
II. Perform x = 0, if y = -3 means the statement is true
= [tex]-2^{0+1} - 1[/tex]
= [tex]-2^{1}[/tex] - 1
= -2 - 1
y = -3
Got more question or somethin to discuss? Leave comment below
Simplify show step by step 30 POINTS!
Step-by-step explanation:
hopefully it makes sense and is visible
:)
If f(x) = x and g(x) = 2, what is (fºg)(x)?
Step-by-step explanation:
(fog)(x) = f[g(x)]
f(g(x))
f(x-2)
since f(x) = 1 / x
answer: 1/x-2
1/x-2 looks like 1/x but the asymptotes(dips in the graphs) will be at x = 2 since is undefined
What element in the domain has image 7 in the function f(x) = x²– 2?
a. 3 b) 9 c) -1 d) 4
Answer:
[tex]f(x) = 7 \\ f(x) = {x}^{2} - 2 \\ {x}^{2} - 2 = 7 \\ {x}^{2} = 2 + 7 \\ {x}^{2} = 9 \\ x = \sqrt{9} \\ \boxed{x = 3}[/tex]
Therefore, 3 is the element in the domain which has the image 7 in function f(x)=x²-2
A. 3 is the right answer.Find the value of x for which ABCD must be a parallelogram.
Answer:
ans is 7
Step-by-step explanation:
as we know that angle B and C are equal cause it is an alternative angle so
3x-17=25-3x
so 3x+3x=25+17
6x=42
x=7
Answer:
7
Step-by-step explanation:
The value of x only makes the figure a llgm because the question says so. It needs one more fact to be a llgm.
That said, you are 1/3 the way there. Those angles marked must be equal.
3x - 17 = 25 - 3x Add 3x to both side
3x + 3x - 17 = 25 Combine
6x - 17 = 25 Add 17 to both sides
6x = 25 + 17 Combine
6x = 42 Divide by 6
6x /6 = 42/6
x = 7
Select the correct answer.
Based on these segment lengths, which group of segments cannot form a triangle?
OA 12,7,8
OB. 8, 7, 13
OC. 1,2,3
OD. 80,140, 70
Reset
Next
2021 EdimentumAll rights
Answer:
C
Step-by-step explanation:
If you add up the length of two sides, the sum must be greater than the third side of the triangle.
If you add 1 and 2, it equals 3
But that means it will be equal to the length of the third side, 3
It will be impossible to make a triangle with those lengths of sides no matter how the sides or angles are set.
It's sort of difficult to explain this without any visual
You can look up "triangle inequality" to find out more about this
Find the sum of the even numbers from 1 to 300
a) 14,280
b) 22,650
c) 16,100
d) 15,460
Answer:
The answer is 22,650
So, option b for you
Step-by-step explanation:
To find the sum of even numbers from 2 to 300, the formula we use is,
N ( N + 1 )
Where N is given by,
N = [( first number + last number)/2] - 1
So here, N = [ (2 + 300 ) / 2 ] - 1 = 150
And hence Sum = 150 * 151 = 22650
(b) In the figure alongside, AB I BC and a - b= 10° then find the values of a and b.
Same side interiors(vertical) have sum 180°
a+b=180--(2)From both equations
2a=190a=95And
a-b=10b=95-10b=85I need help question:how many questions would you need to get correct on a test that has 30 questions to get at least 70% correct?
Answer:
25
Step-by-step explanation:
Answer:
21 answers.
Step-by-step explanation:
First, change the percentage into a decimal point. Move the decimal point to the left two place values and drop the percentage sign:
70% = 70/100 = 0.70
Next, multiply 0.70 with the total amount of questions (30):
30 x 0.70 = 21
21 answers must be correct.
Check:
Divide 21 with 30:
21/30 = 0.70 = 70%
~
1. Which is an example of an algebraic expression?
Answer:
3-a
Step-by-step explanation:
it involves variables like x, y, z
in this case a
Write the range of the function given in the graph in interval notation.
9514 1404 393
Answer:
(-4, 8]
Step-by-step explanation:
The vertical extent of the graph is ...
-4 < y ≤ 8
In interval notation, the range is (-4, 8].
__
Additional comment
There is a horizontal break (in the domain) at y=3, but no vertical break there. Hence the range is continuous through that region.
Is 3.6 a natural/counting
Number
Answer:
It’s a rational number
Step-by-step explanation:
What value of x makes the equation 3(x-6) – 8x = -2 + 5(2x + 1) true? Show your work.
9514 1404 393
Answer:
x = -1.4
Step-by-step explanation:
3(x-6) -8x = -2 + 5(2x + 1)
3x -18 -8x = -2 +10x +5 . . . . . . . eliminate parentheses
-21 = 15x . . . . . . . . . . . . . . add 5x -3 and collect terms
x = -21/15 = -7/5
x = -1.4
__
Check
3(-1.4 -6) -8(-1.4) = -2 +5(2(-1.4) +1) . . . substitute for x
3(-7.4) +11.2 = -2 +5(-2.8 +1)
-22.2 +11.2 = -2 +5(-1.8)
-11 = -2 -9 . . . . . true
What Is a constant or the product of a constant and one or more variables
Answer:
A constant or the product of a constant and one or more variables is called a coefficient.
Hope it helps you.I have to calculate the lengths of all the triangles sides using pythagoras theorem
Answer:
√62 = 8
y = 8
√225 = 15
z = 15
Pythagoras theorem
a^2 + b^2 = c^2
in this case...
y^2 + z^2 = x^2
8^2 + 15^2 = √289
8^2 + 15^2 = 17
x= 17
When I triple my number and add three and then subtract double my number and add one I get nine what is my number
Answer:
i belive if not mistaken 6
Step-by-step explanatio
Answer and Step-by-step explanation:
I will replicate what you said into an algebraic equation.
Your number will be represented as x.
(3x + 3) - (2x + 1) = 9
Distribute the negative.
3x + 3 - 2x - 1 = 9
Combine like terms.
x + 2 = 9
Subtract both sides of the equation by 2.
x = 7
Your number is 7.
Checking my answer:
(3(7) + 3) - (2(7) + 3) = 9
(21 + 3) - (14 + 3) = 9
24 - 17 = 9
9 = 9 ✓
So, your number is 7.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Solve if x measure of AOC = 7x-2 measure of AOB = 2x+8 measure of BOC = 3x+14.
Answer:
x=3[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
im assuming this a triangle if so all angles add up to 180 so combine all equations and make it so it equals 180
7x-2+2x+8+3x+14=180
Combine Like Terms: 12x+20=180
12x+20-20=180-20
12x=160
12x/12=160/12
x=13[tex]\frac{1}{3}[/tex]
An x measure of AOC = 7x-2 measure of AOB = 2x+8 measure of BOC = 3x+14 value of x is 28.33.
A three angles, AOC, AOB, and BOC, and you're given their measures in terms of x. The problem is likely asking you to find the value of x. Since these angles are in a circle, they must add up to 360 degrees.
The sum of the measures of the angles around a point is 360 degrees:
Angle AOC + Angle AOB + Angle BOC = 360
Substitute the given expressions for the angle measures:
(7x - 2) + (2x + 8) + (3x + 14) = 360
Combine like terms:
12x + 20 = 360
Now, subtract 20 from both sides:
12x = 340
Finally, divide by 12:
x = 340 / 12
x = 28.33
To know more about value here
https://brainly.com/question/30145972
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4 2/3 - (1 4/5). PLEASE HELP MEEEEE
Answer: 2 13/ 15
Step-by-step explanation:
what is 13 x 12 feet converted is how many inches?
please help me, if you help then thanks!
Answer:
B. [tex] {a}^{ - 7 - 10} [/tex] (second option)
Step-by-step explanation:
[tex] \frac{ {a}^{ - 7} }{ {a}^{10} } [/tex]
[tex] {a}^{ - 7 - 10} [/tex]
[tex] - 7 - 10 = - (7 + 10) = - 17[/tex]
Select the best answer for the question.
17. What is the sum of 1/9, 2/3, and 5/18?
O A. 4/15
O B. 12/g
O C. 8/30
O D.
19/18
MA .
Lovi
AL HADIR
Answer: D 19/18
Step-by-step explanation: First you have to make a common denominator of 18. 1/9 becomes 2/18. 2/3 becomes 12/18. 5/18 stays the same. Then you have to add the numerators and you get 19/18.
Round 57.5958961796 to the nearest hundredth.
1. If a = -1 , the value of3a + 1 is
Answer:
[tex]f(a) = 3a + 1 \\ Now,\: a = - 1 \\ f( - 1) = 3( - 1) + 1 \\ f( - 1) = - 3 + 1 \\ \boxed{ f( - 1) = - 2}[/tex]
Therefore, -2 is the right answer.