Answer:
yes
the sides bear a similar proportion to each other
CE = 1.67BC
CD = 1.67AC
Step-by-step explanation:
Two triangles are similar if the corresponding angels are congruent to each other and if the sides of the triangle are in proportion to each other
to determine if the triangles are similar, determine if the sides are in proportion to each other
CE = 10
BC = 6
10 / 6 = 1.67
DC = 15
AC = 9
15/9 = 1.67
The sides of the triangle are in proportion to each other, thus they are similar
The stock was worth $85. What will the stock be worth in 7 years? WhThe value of πPhone stock has increased 8% each year for the past several years. In 2020,at was the stock worth in 2016? Equation: 7 years from now? In 2016?
Answer:
Part A
The worth of the stock in 7 years is approximately $145.68
Part B
The worth of the stock in 2016 is approximately $62.48
Part C
f(7) = 85 × (1 + 0.08)⁷
Part D
85 × (1 + 0.08)⁻⁴
Step-by-step explanation:
Question
"The value of the πPhone πhas increased 8% each year for the past several years. In 2020, the stock was worth $85. What will the stock be worth in 7 years? What was the stock worth in 2016? Equation: 7 years from now? in 2016?"
The equation for the growth of the stock to a final amount f(x) is given by the general equation for exponential growth as follows;
[tex]f(t) = a \cdot (1 + r)^t[/tex]
Where, in relation to the stocks;
f(t) = The value of the stocks after 't' years
a = The initial amount of the stocks
r = The rate of growth of the stock = 8%
t = The number of years of growth
Part A
The worth of the stock in 7 years, f(7), is found as follows;
The (initial) value of the stock in 2020, a = $85
The rate of increase in the value of the stock = The growth rate of the stock, r = 8% = 8/100 = 0.08
The number of years of growth, t = 7 years
We get;
f(7) = 85 × (1 + 0.08)⁷ ≈ 145.68
The worth of the stock in 7 years, f(7) ≈ $145.68
Part B
The value of the stock in 2016 is found as follows;
The number of years between 2020 and 2016 = 2016 - 2020 = -4 (years)
Here, let 'f(t)' represent the value of the stock in 2016, and therefore, we have;
t = -4 years
r = 8% = 0.08
a = The value of the stock in 2020 = $85
Plugging in the values gives;
f(-4) = 85·(1 + 0.08)⁻⁴ = 85 × (1.08)⁻⁴ ≈ 62.48
The value of the stock in 2016, f(-4) ≈ $62.48.
Part C
The equation for 7 years from now is f(7) = 85 × (1 + 0.08)⁷
Part D
The equation for 2016 is f(-4) = 85 × (1 + 0.08)⁻⁴.
URGENT!! Two students determined the value of this expression. -2.5(1.4+3.1) + 6.9(-4.3)
These are the steps each student used.
Student P Steps:
Step 1: -3.5 + 7.75 + 6.9(-4.3)
Step 2: -3.5 + 7.75 - 29.67
Step 3: 7.75 - 3.5 - 29.67
Step 4: -25.42
Students Q steps:
Step 1: -3.5 - 7.75 + 6.9(-4.3)
Step 2: -3.5 - 7.75 - 29.67
Step 3: -(3.5 - 7.75 - 29.67)
Step 4: -(-33.92)
Step 5: 33.92
Analyze the steps and describe any errors made by Student P and Student Q
Answer:
student p= added and subtracted wrongs
stident Q= only subtracted
Step-by-step explanation:
The error of student P is the first step and that of student Q is the third step.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is
-2.5 (1.4 + 3.1) + 6.9 (-4.3)
Using the distributive property,
= (-2.5 × 1.4) + (-2.5 × 3.1) + (6.6 × -4.3)
= -3.5 - 7.75 - 29.67
= - (3.5 + 7.75 + 29.67)
= -40.92
This is the correct way to do the operations.
The error of student P is in the step 1, where the student wrote 7.75 instead of -7.75.
The error of student Q is in the step 3, that when the negative sign is taken out all the signs inside the bracket become positive.
Hence the errors of two students are found.
Learn more about Expressions here :
https://brainly.com/question/28365581
#SPJ3
Find the circumference.
Use 3.14 for tı.
-
r = 6 ft
C = [?] ft
C=rd
Answer:
37.69911184
Step-by-step explanation:
because circumference is equal to pi multiplied by diameter, you will not get the circumference with the radius times pi. in order to get the diameter, you multiply the radius by 2, because the diameter is the length across the circle. So the diameter of this circle is equal to 12. so simply multiply that number by pi (3.14) and there is your answer. Hope i helped.
PLEASE I NEED HELP READ ALL Lisa made a chocolate milkshake in the blender for her daughter. The milkshake occupies just a little more than 75 cubic inches of space in the blender pitcher. When serving the milkshake to her daughter, she has three glasses to choose from. Determine whether or not each of the three classes is large enough to contain all of the chocolate milkshake that Lisa made for her daughter. Use 3.14 to approximate .
Glass A with a height of 2.1 inches and a diameter of 5 inches is _____
to contain the entire chocolate milkshake.
Glass B with a height of 2.7 inches and a radius of 4.6 inches is_____
to contain the entire chocolate milkshake.
Glass C with a height of 3.1 inches and a radius of 2.7 inches is ____
to contain the entire chocolate milkshake.
choices are too small and too large
What type of angle is this
Answer:
they're both obtuse angles, the ones highlighted in red.
Use the Multiplication Law of Exponents to solve the expression below. 91/2.91/2=
Answer: 15.64
Step-by-step explanation:
kahn
is anyone have the answer to 9,576,984.9874 x 98.84
Answer:
946589196.155
Step-by-step explanation:
Hope that helps
The bar graph shown here can be misleading. Choose the statement that might WRONGLY be made on the basis of the graph.
A)
Drivers older than 65 had no DUIS.
B)
Over 1000 drivers aged 16-20 had DUIS.
C
More than half of all the Duls were for drivers aged 16-29.
D)
Drivers aged 46-65 had fewer than half the Duls of the drivers aged 16-20.
Answer: A . Drivers older than 65 had no DUIS I just did it on USA test prep.
Step-by-step explanation:
This is so hard help
Answer:
Ik it
Step-by-step explanation:
A point in the figure is selected at random. Find the probability that the point will be in the shaded region
Answer:
60%
Step-by-step explanation
Answer:
60
Step-by-step explanation:
A triangular prism has length 20 cm.
The sides of the shaded cross-section are 4 cm, 11 cm and x cm.
The angle between the sides of length 4 cm and 11 cm is 125º.
calculate x
Fatima is saving up to buy a $300 bike. She saves $25 each week from her babysitting money. Which linear equation represents the amount Fatima still has to save after x weeks?
y = 25x + 300
y = 25x – 300
y = –25x – 300
y = –25x + 300
one of those
Answer:
y=−25x+300
Step-by-step explanation:
have a good day/night
may i please have a branlliest
Can someone pleaseeee help and if you’re correct i’ll give brainliest
What type of angle is this pls hurry!
Answer:
Its an Obtuse angles
Step-by-step explanation:
x+79=2x-37
(x+79)+(-79)=(2x-37)+(-79)
x+79-79=(2x-37)-79
x=2x-37-79
x=116
An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.
7 more than number p is equal to 30 please how working
p=23
Is that what you needed?
Answer:
p+7 = 30
p = 23
Step-by-step explanation:
23+7 = 30
A tree casts a shadow that is 12 meters long. The distance from the top of the tree to the end of the shadow is 13 meters. What is the height of the tree? A.5m B.About 18m C.25m D.About 30m
Answer:
5M
Step-by-step explanation:
PLEASE HELP
I WILL BRAINLIEST !
Answer:
10 1/12
Step-by-step explanation:
In order to subtract fractions, you have to give them a common denominator.
18 1/2 can be rewritten as 18 6/12, as they are the same thing and 6/12 simplifies to 1/2. We make it 6/12 because we have to subtract it by 8 5/12, and the denominators are both 12.
So now we have 18 6/12 - 8 5/12, which gives us 10 1/12.
Simplify:
[tex]\sqrt[3]{\frac{x^2}{8y^{-1}} }[/tex]
Thank you!
Answer:
hope this will help you more
good luck...
Answer:
[tex] \frac{ {x}^{ \frac{2}{3} } {y}^{ \frac{1}{3} } }{2} [/tex]
Answer C is correct
Step-by-step explanation:
[tex] \sqrt[3]{ \frac{ {x}^{2} }{8 {y}^{ - 1} } } \\ \frac{ {x}^{2 \times \frac{1}{3} } \times {y}^{1 \times \frac{1}{3} } }{ \sqrt[3]{8} } \\ = \frac{ {x}^{ \frac{2}{3} } {y}^{ \frac{1}{3} } }{2} [/tex]
Simplify the following expression log(x^2)-log(x)
Answer:log a - log b = log (a/b) than use this formula will get
log x^2 -log x = log (x^2 /x) = log x
so answer is log x
Step-by-step explanation:
A.) Kokochi walks 4 and 1 twelfth miles in one day. He walks the same distance for one week. How many miles does Kokochi walk?
B.) The next week, Kokochi walks 8 and 1 fourth miles in one day for a week. How many miles does Kokochi walk?
C.) What is the distance Kokochi walked if the answers to part A and B were combined?
Answer:
A) 28 7/12, or 343/12, or 28.583
B) 57.75
C) 86.3 or 86 1/3
Step-by-step explanation:
The coordinates of A are (1/4,3). The coordinates of B are (1/2,4.5). If the x-coordinate of C is 7/4, what is its y-coordinate
Answer:
10.5
Step-by-step explanation:
Given
A = (1/4, 3)
B = (1/2, 4.5)
To get the coordinate of C as 7/4, what was done was to first take the difference in the x coordinates and then dilate the result by 7
To get the y coordinate;
Take the difference in the coordinateDifference = 3 - 4.5
Difference = -1.5
Dilate the result by factor of 7This is done y multiplying the result by 7;
y coordinate = 1.5 * 7
y coordinate = 10.5
Hence its y-coordinate is 10.5
50 PTS!!!
Please look at the screenshot and answer:
Look for a pattern in the data set to determine which kind of model best describes the data.
Answer:
the data of the cubic
as it the distance between the two integers closed under addition
PLEASE HELP WITH THISSS
Answer:
See the attached
Step-by-step explanation:
I left last bits to you as it is about checking your understanding
There are 6 people who want to share 17 ride tickets for the carnival. Each person will get an equal number of tickets. How many tickets will each person get? How many tickets will be left over?
Answer:
5 people will get 3 tickets and one person will get 2.
Step-by-step explanation:
5x3= 15 , 2 tickets left.
Karen and Max tracked the number of emails that they received each day over the last month. Which statement is supported by the data?
A. Max and Karen’s IQR values are the same.
B. Max’s median is greater than Karen’s median.
C. Max’s maximum is greater than Karen’s maximum.
D. Max’s data is more symmetrical than Karen’s data.
Answer:
Step-by-step explanation:
Select all ratios equivalent to 5:2
A) 25:10
B) 10:4
C) 4:1
Answer:
A and B
Step-by-step explanation
Martha's salary is $52,000 this year, and increases by 8% each year. She pays 17.5% of her salary in taxes. What will be Martha's net pay NEXT year?
Answer:
Martha's net pay next year is $46,332.
Step-by-step explanation:
First, you have to calculate the increase by multiplying the salary for 8% and adding the result to the salary:
$52,000*8%= $4,160
$52,000+$4,160= $56,160
Now, in order to find the net pay next year, you have to calculate the tax by multiplying the salary for the tax percentage and subtracting that from the salary:
$56,160*17.5%= $9,828
$56,160-$9,828= $46,332
According to this, the answer is that Martha's net pay next year is $46,332.
Which function is the inverse of F(x) = b^x?
HELP FAST
Answer:I also think answer is 3
Step-by-step explanation:
What is the domain of the relation?
A. {-4, -2, 1.4)
B. {-2, 1, 4)
C. {-2, 1, 4,4}
D. (-4.-2).(-2, 1), (1.4). (4.4)
Answer:
A{-4,-2,1,4} is the domain of function.
stay safe healthy and happy.Find the measure of the indicated angle to the nearest degree
Answer:
39
Step-by-step explanation: