Answer: 7.2 months
Step-by-step explanation:
Hi, to answer this question we have to substitute f(x) =500 in the equation given:
f(x) = 100(1.25)^x
500= 100(1.25)^x
Solving for x (number of months)
500/100 = 1.25^x
5 = 1.25^x
log 5 =log 1.25^x
log 5 =x (log 1.25)
log 5 /log 1.25 =x
x = 7.2 months
Feel free to ask for more if needed or if you did not understand something.
What is the slope of the line on the graph below?
2
-2 11
1
2
3
4
5
E
7
8
x
2.
L3
4
50
46
4. Joanna bought 3 mini cakes for a birthday party. She cuts each cake into quarters and plans to
serve each guest 1 quarter of a cake. How many guests can she serve with all her cakes?
Write a division expression and draw a picture to support your response.
Answer:
she can serve 12 guest with her cakes
Step-by-step explanation:
if 1 cake is cut into 4 peices
3 cakes will be cut into 12
Help is needed! Is f(x) a function?
Answer:
False
Step-by-step explanation:
This is not a function
The same x value goes to 2 different y values
5 goes to both 2 and 1
This is not a 1 to 1 correspondence
Answer:
False
Step-by-step explanation:
A function has only one input for every output. 5 has two
solve for the width in the formula for the area of a rectangle
Weiming invests S4000 in a savings scheme that pays simple interest at a rate of 2% per annum.
Calculate the time taken for his investment to grow to $4400.
Answer:
55 YRS
Step-by-step explanation:
T=INTEREST X 100%/PRINCIPAL X RATE
T=4400X100%=440000%/4000 X 2%
T=440000%/8000%
T=55 YRS
LAST QUESTION!!!!!! WILL GIVE BRANLIEST!!!!! PLS JUST TAKE A LOOK!!!!!! SHARE YO SMARTNESS!!!!!!!!
6. Why is angle 1 congruent with angle C in the diagram?
A) They interior angles to the triangle.
B) They are vertical angles.
C) They are exterior angles to the triangle.
D) They are corresponding angles.
Answer:
C
Step-by-step explanation:
They are opposite angles and opposite angles are the same amount.
The answer is C because they are on the outside of the triangle.
Outside = Exterior
Please answer correctly !!!! Will mark BRIANLIEST !!!!!!!!
Answer:
4x`2 + 13x + 8
Step-by-step explanation:
the ` is the squared
✨Could y'all help me pls cuz im dumb soooo imma give BRAINLIEST and don't jus pick a random answer (-_-")✨
The vertices of a triangle are located at the points A(-1, 0), B(-2, 2), and C(3, 3). A'B'C' is the result of rotating ABC 180° about the origin. Which statement can be used to find the coordinates of the vertices of A'B'C'??
A. multiply each x-value by -1 and keep each y-value the same
B .multiply each x-value by -1 and multiply each y-value by -1
C. multiply each x-value by -1, keep each y-value the same and switch their places
D. keep each x-value the same, multiply each y-value by -1 and switch their places
Answer:
multiply both the x value and y value by -1
When solving p2+5=8p-7, kate wrote p2+12=8p. The property she used is
Answer:
She used the addition property of equality:
p2 + 5 = 8p - 7
+7 +7
p2 + 12 = 8p
What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is Two-thirds the length of the line segment from A to B? (2, –1) (4, –3) (–1, 2) (3, –2)
Answer: (4,-3) B
Step-by-step explanation:
Answer:
(4, –3) or B
Step-by-step explanation:
i just took the test!
10 Which of the following represents the
domain of the function F(x) = 2x + 15?
3
Answer:
Domain is x ∈ R
Step-by-step explanation:
There weren't any options given, but for f(x) = 2x + 15, the domain is x ∈ R.
This is because the graph is a linear function, which exists for all values of x. You can express this in lots of different ways, but R (all reals) is the conventional way to do it.
In case you don't know what a domain is: it is a set of numbers that the x-values of an equation can fit into.
Example:
f(x) = [tex]x^{2}[/tex] -> x ∈ R
This is because, if you draw a quadratic graph, you can see that the values of x are neverending.
Hope this helped : )
A rectangle has length 9 cm and with 7 cm. The rectangle is to be enlarged by scale factor of 4. Calculate the length of the enlargement.
13cm
28cm
36cm
64cm
Answer:
i think 28cm is the answer.
Evaluate m^0-n^2 form=2 and n=-1
what is the remainder when 22,714 is divided by 886?
The remainder of the equation A = 22,714 / 886 is given by R = 564
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the remainder be represented as R
Let the equation be represented as A
Now , the value of A is
Let the first number be p = 22,714
Let the second number be q = 886
Now , A = p/q
On simplifying , we get
A = 22,714 / 886
886 x 25 = 22150
So , the difference between 22714 - 22150 = 564
Therefore , the value of R is 564
Hence , the remainder is 564
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Slove 6 3/8 - 6/8 help please
Answer:
5 5/8
Step-by-step explanation:
6 3/8 - 6/8
The denominators are the same, so we borrow from the 6
Borrw 1 in the form 8/8
6 + 8/8 +3/8 - 6/8
5 11/8 - 6/8
5 5/8
ك ل و، مثلث قائم الزاوية في ل ك ل=٥ ، ول=٧، س منتصف الوتر ك و جد طول س ل
Answer:
س ل = 4.3
Step-by-step explanation:
هتسرم وتعين بالمسطرة ^_^
I WILL MARK BRAINLIEST
If a tuna can has a diameter of 6.5 cm , and a height of 3 cm , determine the area of the label. (I'm only asking for the label, not the whole thing :))
Answer:
61.27cm^2Step-by-step explanation:
The tuna can has a shape of a cylinder, and the area of the tuna lablel is the lateral surface area of the can
[tex]A=2\pi rh[/tex]
Data
diameter d= 6.5cm
radius r = [tex]\frac{diameter}{2}[/tex]= [tex]\frac{6.5}{2} = 3.25cm[/tex]
height h= 3cm
leteral surface area
[tex]A=2*3.142*3.25*3\\= 61.269\\=61.27cm^2[/tex]
Gasoline price is $2.80 per gallon in August. The price increased by 15% in September, dropped 5% in October and dropped another 10% in November. What was the gasoline price in November?? Show work
Answer:
Gasoline price is $2.80 per gallon in August.
The price increased by 15% in September,
dropped 5% in October
and dropped another 10% in November.
The gasoline price in November would be:
2.8 x (1 + 15/100) x (1 - 5/100) x ( 1 - 10/100) = 2.7531
Hope this helps!
:)
Answer:
$2.7531
Step-by-step explanation:
Please refer to the picture above.
When solving such procedural questions, you should do it step by step. Diagrams like tables can help you visualise the process to avoid making mistakes.
What is 4.75 x 10^11
Answer:
=4.75x^100000000000
What is the product of −2 2/5 and −3 5/6?
A. -9 1/5
B. -6 7/30
C. 6 1/3
D. 9 1/5
Answer:
i think its D but not really sure
Step-by-step explanation:
Solve for x.
[tex] \frac{x}{2} = - 7[/tex]
Answer:
x = -14
Step-by-step explanation:
[tex]\frac{x}{2}[/tex] = -7
multiply 2 on both sides
the 2's cancel out on the fraction side, leaving x = -7(2)
multiply -7 and 2 to get -14
x = -14
Answer:
-14
Step-by-step explanation:
We must find out what divided by 2 equals -7
So we work backwards
2(-7)
2(-7)=-14
When multiplying negative and positive you get negative
Plug in -14 in x
-14/2=-7
If you can't solve it put it in calculator
Hope this helps plz mark brainliest!
Four students graphed one linear function each.
Rhett
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 1).
Cameron
On a coordinate plane, a line goes through points (0, 4) and (1, 0).
Ellis
On a coordinate plane, a line goes through points (0, negative 4) and (2, 0).
Braden
On a coordinate plane, a line goes through points (0, 1) and (4, 0).
Which student graphed a linear function with a y-intercept at –4?
Rhett
Cameron
Ellis
Braden
Answer:
ellis
Step-by-step explanation:
The student who graphed a linear function with a y-intercept at -4 is Ellis.
Option C is the correct answer.
We have,
The student who graphed a linear function with a y-intercept at -4 is Ellis.
Looking at the given information, Ellis's line goes through points (0, -4) and (2, 0).
The y-coordinate of the y-intercept is -4, which matches the requirement.
Therefore, Ellis is the student who graphed a linear function with a y-intercept at -4.
Thus,
The student who graphed a linear function with a y-intercept at -4 is Ellis.
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Find the length of side b to two decimal places
Answer:
b = 14.34
Step-by-step explanation:
sin(Θ) = (Opposite/Hypotenuse)
sin(35)= (b/25)
25 x sin(35) = 14.33941091
On a coordinate plane, a line goes through points (negative 2, 0) and (0, 2). Study the graph of the line. Use the drop-down menu to find its equation. The equation of the line is .
Answer:
[tex]y=x+2[/tex]
Step-by-step explanation:
Finding Slope:We are given the points (-2,0) and (0,2).
Slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{2-0}{0-(-2)}=\frac{2}{2} = 1[/tex]
The slope is one.
Finding the Y-intercept:So far we have [tex]y=x+b[/tex].
We can use a point to find 'b', the y-intercept.
I will use (0,2):
[tex]2=0+b\\2-0=0-0+b\leftarrow \text {Subtraction Property of Equality} \\\boxed {2=b}[/tex]
The y-intercept is 2.
Final Equation:The equation of the line is [tex]y=x+2[/tex].
In slope equations, the 'one' is commonly hidden.
Answer:
y = x + 2
Step-by-step explanation:
A sector of a circle with radius 20 cm has an area of 396 cm^2. Calculate, correct to 1 decimal place, (a) the sectoral angle (b) perimeter of the sector (c) volume of the cone formed when the sector is bent such that its straight edges coincide
Answer:
I'm not sure
Step-by-step explanation:
I thought I knew it but I forgot sorry
Solve for c.
3 − 7c − 20c = 7(–7c − 19) + 14c
c =
Answer:
[tex] \boxed{c = -17} [/tex]
Step-by-step explanation:
[tex] = > 3 - 7c - 20c = 7( - 7c - 19) + 14c \\ \\ = > 3 - 27c = ( - 7c \times 7) - (7 \times 19) + 14c \\ \\ = > 3 - 27c = - 49c - 133 + 14c \\ \\ = > 3 - 27c = - 35c - 133 \\ \\ = > 3 - 27c + 35c = - 133 \\ \\ = > 3 + 8c = - 133 \\ \\ = > 8c = - 133 - 3 \\ \\ = > 8c = - 136 \\ \\ = > c = - \frac{136}{8} \\ \\ = > c = - 17[/tex]
Answer:
c = -17
Step-by-step explanation:
→Distribute the 7 to (-7c - 19):
3 - 7c - 20c = -49c - 133 + 14c
→Add like terms (-7c and -20c, -49c and 14c):
3 - 27c = -35c - 133
→Add 35c to both sides:
3 + 8c = -133
→Subtract 3 from both sides:
8c = -136
→Divide both sides by 8:
c = -17
please help ASAP for brainliest
Which table represents an exponential function?
Answer:
C
Step-by-step explanation:
The expression in C is actually defined as y = 5^(x) which is an exponential function.
Answer:
Table C
Step-by-step explanation:
Table C expression is defined as y = 5^(x) which makes it a exponential function.
Prove that: (1+cot^2x)tan^2x = sec^2x
Answer:
Step-by-step explanation:
[tex]1+cot^2x = csc^2x= \frac{1}{sin^2x}[/tex]
it becomes
[tex]\frac{1}{sin^2x}*\frac{sin^2x}{cos^2x}=\frac{1}{cos^2x}=sec^2x[/tex]
Done
what is 7.17+25.8≈ equal to?
Answer:
7.17 + 25.8 = 32.97
Answer:
7.17+25.8= 32.97
the answer is above