Answer:
10,665.64
Step-by-step explanation:
Exponential Functions:
y=ab^x
A= starting value = 19900
r=rate = 7.5%=0.075
Exponential Decay:
b=1-r=1-0.075=0.925
Write Exponential Function:
y=19900(0.925)^x
Plug in time for x:
y=19900(0.925)^8
y= 10665.6404317
Evaluate
y≈10665.64
solve for y in terms of x (rewrite each equation so that it starts with "y=")
a. 6x + 5y = 20
b. 4x - 8y = 16
thanks!
answers:
a. y = -6/5x + 4
b. y = 1/2x - 2
Step-by-step explanation:
a.
5y = 20 - 6x
y = 20/5 - 6/5x
y = -6/5x + 4
b.
-8y = -4x + 16
y = -4/-8x + 16/-8
y = 1/2x -2
Find the common difference of the arithmetic sequence 14, 8, 2,.
Answer:
-6
Step-by-step explanation:
Which equation illustrates the Associative Property of Multiplication? WILL MARK BRAINLEIST IF ANSWERED
3(x + 2) = 3x + 6
2xy = yx3
3x = 0
(3x)y = 3(xy)
Answer:
3(x+2)=3x+6
Step-by-step explanation:
i hope it helps
if its wrong let me know so i can change it or something or just remove my comment
Find the magnitude and direction of the
vectors:-
A) which displaces A(√3,1)to B(2√3,2)
Magnitude is distance between points
[tex]\\ \rm{:}\dashrightarrow AB=\sqrt{(2\sqrt{3}-\sqrt{3})^2+(2-1)^2}=\sqrt{3+1}=2units [/tex]
Direction is slope
[tex]\\ \rm{:}\dashrightarrow \alpha=tan^{-1}(\dfrac{2-1}{\sqrt{3}})[/tex]
[tex]\\ \rm{:}\dashrightarrow \alpha=tan^{-1}(\dfrac{1}{\sqrt{3}})[/tex]
[tex]\\ \rm{:}\dashrightarrow \alpha=\dfrac{\pi}{6}[/tex]
75% of 120 is what number
Step-by-step explanation:
75% of 120
[tex] \frac{75}{100} \times 120 [/tex]
[tex] = 15 \times 6[/tex]
[tex] = 90[/tex]
HOPE IT HELPS YOU
Solution:
Let the unknown number be x.
We know that:
The word "of" means multiplication.This means that:
=> 75% × 120 = xStep-by step calculations:
=> 75/100 × 120 = x [75% = 75/100]=> 75/5 × 6 = x=> 15 × 6 = x=> 90 = xThus, the number is 90.
What is -8 +-2 ? Please help
Answer:
-10
Step-by-step explanation:
-8 + -2
-8 -2
-10
Answer:
-10
Step-by-step explanation:
Line A passes through the points (-3, -1) and (4, 13).
Line B passes through the points (6, -1) and (-4, 19).
Find the point where line A intersects line B
Answer: (1.5, 8)
Step-by-step explanation:
A university has 29,370 students. In a random sample of 210 students, 14 speak three or more languages. Predict the number of students at the university who speak three or more languages.
Answer:
ok so out of 210 14 speak 3 or more so that is a ratio of
210:14
so lets find out how many times 210 goes into the whole populaiton
29370/210=139.857142857
then lets multiply the 14 by that amount
14*139.857142857=1958(exact)
so out of the 29370 1958 speak 3 or more launges
Hope This Helps!!!
Solve for b 6b + 16 = 94
Answer:
b=13
Step-by-step explanation:
First, subtract 16 from 94. 94-16=78
Then divide 6 into 78. 78/6=13
Therefore, b=13
Answer:
b=13
Step-by-step explanation:
6b+16=94
subtract 16 from both sides
6b=78
divide both sides by 6
b=13
A grocery store sells a bag of 4 oranges for $3. 64. How much would it cost for 6 oranges?
Answer:
$5.46
Step-by-step explanation:
4 / 3.64 = 6 / x
What is the domain of the function y- +4?
-00
O 45x<00
O 0SX <0
O 45x<00
Answer:
I think its A. I might be wrong tho so sorry if i am
Step-by-step explanation:
Lmk if its correct :)
i need to show the work by the way.
Answer:
A) 61º
Step-by-step explanation:
since the line is straight that means that it is a 180º angle.
7 10
180
-119
061
The ice cream truck has a jar containing a slip of paper for each of the flavors . Shaun chooses three slips of paper without looking . What is the probability that Shaun's triple scoop cone contains two of his five favorite flavors ?
Answer: 5/31
explanation: there are 31 flavors in all. 5 are his favorite. Therefore, the answer is 5/31
Please help me
Several points appear on the number line, which shows numbers from 0 through 1. On the number line, point M represents 0.25. What fraction does point M also represent on the number line?
Answers
A= 1/5
B= 1/3
C= 1/4
D= 1/25
Answer:
1/4
Step-by-step explanation?
Keep in mind that fractions are technically division problems.
Divide 1 by 4 and you will end up with 0.25
Next time try to answer the problem on your own :)
9 8/12 - 4 9/12
Simplest form please
Answer:
1/3
Step-by-step explanation:
were going to subtract the wholes so what is 9-9=? it =02. Now we know we have 0 wholes. Next what is 8 -4=? 8 -4=4
3. Now our fraction is 4/12 now since 4 x 3 =12 then that means it's the first number besides 3 so what I mean about that is it is 1/3 but if the fraction were 8/12 then it would be 2/3 but it is 4/12 so it is 1/3.
4. That is our answer and were finished the final answer is 1/3 or 33.333
5.Hope this helps have a awesome day:)
BRAINLIEST (will mark) Given that the point $(4,7)$ is on the graph of $y=f(x)$, there is one point that must be on the graph of $2y=3f(4x)+5$. What is the sum of the coordinates of that point?
Answer: mark me brainliest!!
2y = 3f(4x) + 5 divide through by 2 y = (3/2) f(4x) + 5/2
The "4x" part compresses the graph horizontally by a factor of 4The "3/2" part vertically stretches the graph by a factor of 3/2The "5/2" part shifts the resulting point up by 5/2 units Applting the first two to (4,7) we get (4*(1/4) , 7* (3/2) ) = ( 1, 21/2)
Applying the last one, we arrive at ( 1, 21/2 + 5/2) = (1, 26/2) = ( 1,13)
The sum of the coordinates is 1 + 13 = 14
Step-by-step explanation:
Review the graph of
Which point lies outside of the solution set? (y+4)^2/9-(x+1)^2/9>1
The point outside the solution set are the false values of the inequality
The point outside the solution set of (y+4)^2/9-(x+1)^2/9>1 is (-1,-1)
How to determine the point outside the solution setThe inequality of the graph is given as:
[tex]\frac{(y+4)^2}{9}-\frac{(x+1)^2}{9} > 1[/tex]
Next, we test the options
Option A. (-2,4)This gives
[tex]\frac{(4+4)^2}{9}-\frac{(-2+1)^2}{9} > 1[/tex]
[tex]\frac{64}{9}-\frac{1}{9} > 1[/tex]
Evaluate the difference
[tex]7 > 1[/tex] -- this is true
Option B. (2,-12)This gives
[tex]\frac{(-12+4)^2}{9}-\frac{(2+1)^2}{9} > 1[/tex]
[tex]6.1 > 1[/tex] -- this is true
Option C. (-1,-1)This gives
[tex]\frac{(-1+4)^2}{9}-\frac{(-1+1)^2}{9} > 1[/tex]
[tex]1 > 1[/tex] -- this is false
Hence, the point outside the solution set of (y+4)^2/9-(x+1)^2/9>1 is (-1,-1)
Read more about solution sets at:
https://brainly.com/question/13729904
Answer: it is C (-1, -1)
Step-by-step explanation:
Larry has a bowl of raspberries and blackberries. There are 2 more raspberries than blackberries, and there are 34 berries in all. How many raspberries does Larry have?
Find the value of x.
The answer would be 2
Write the ratio of 2 oranges to 3 apples in three different ways
Answer:
2:3
3:2
2/3
Step-by-step explanation:
Answer:
2:3
2 to 3
2/3
If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B. For example, if A is five and B is 10, your ratio will be 5/10. Solve the equation.
If the Lenght of Rectangle is 10 cm and its Breadth is 15 cm . Then find the Area of Rectangle ?
Answer:
Given ,
Length of rectangle = 10cm
Breadth of rectangle = 15cm
Now ,
Area of rectangle = length × breadth
= ( 10 × 15 ) cm²
= 150 cm²
[tex]\\[/tex]
hope helpful ~
Question :-
If the Lenght of Rectangle is 10 cm and its Breadth is 15 cm . Then find the Area of Rectangle ?Answer :-
Area of Rectangle is 150² cm .[tex] \rule {210pt} {2pt} [/tex]
Given :-
Lenght of Rectangle = 10 cmBreadth of Rectangle = 15 cmTo Find :-
Area of Rectangle = ?Solution :-
As per the provided information in the given question, we have been given that the Lenght of Rectangle is 10 cm . Breadth of Rectangle is given 15 cm . And, we have been aksed to calculate the Area of Rectangle .
For calculating the Area , we will use Area of Rectangle Formula :-
[tex] \sf {Area \: of \: Rectangle = Lenght \times Breadth} [/tex]Therefore , by Substituting the given values in the above Formula :-
⇒ Area of Rectangle = Lenght × Breadth
⇒ Area of Rectangle = 10 × 15
⇒ Area of Rectangle = 150
Hence :-
Area of Rectangle = 150² cm[tex] \underline {\rule {210pt} {4pt}} [/tex]
Additional Information :-
[tex] \begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \textbf {\textsf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Square} = Side \times Side} \\ \\ \\ \footnotesize\bigstar \: \bf{Area \: _{Rectangle} = Lenght \times Breadth} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Triangle} = \frac{1}{2} \times Base \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Parallelogram} = Base \times Height} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Trapezium} = \frac{1}{2} \times [ \: A + B \: ] \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf {Area \: _{Rhombus} = \frac{1}{2} \times Diagonal \: 1 \times Diagonal \: 2}\end{array}}\end{gathered}\end{gathered} [/tex]
Find the error in this And then solve it correctly
Answer:
m<DCB=34
Step-by-step explanation:
90-56=34
The m<DCA would be 56, not the m<DCB
What mixed number is the arrow pointing to?'
1. 12 4/5
2. 12
3. 12 1/2
4. 12 2/3
Answer:
4. 12 2/3
Step-by-step explanation:
You count the number of intervals between it takes to get from 12 to 13.
It takes 6 times.
We see that the arrow is at the 4th interval.
So out of 6 intervals, the arrow is at the 4th interval
So 4th interval / 6th interval = 4/6
We reduce 4/6 to 2/3 because dividing both top and bottom by 2 gets us 2/3.
4/6 = 2/3
We have
12 2/3
Homework 4: Trigonometric Ratios &
Finding Missing Sides
solve for x
Answer:
[tex]\displaystyle 13,834311042... = x[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{13} = csc\:70 \hookrightarrow 13csc\:70 = x \\ \\ 13,834311042... = x[/tex]
OR
[tex]\displaystyle \frac{13}{x} = sin\:70 \hookrightarrow xsin\:70 = 13 \hookrightarrow \frac{13}{sin\:70} = x \\ \\ 13,834311042... = x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
tate whether the following ratios are proportional.
1) 2:3 and 4:6
2) 1:4 and 6:18
3) 3:5 and 1:3
4) 2:5 and 8:20
5) 4:9 and 12:27
6) 6:15 and 2:5
Answer:
4÷2=2
6÷2 =3
2:3 this is 4:6 in its simplest form
they are proportional or equal
Step-by-step explanation:
multiple are numbers a divide with and not get
a remainder
example 8÷4=2
8÷3=2 remainder 1 meaning that 3 in not a multiple
2) they are not proportional
6÷2=3
18÷2=9
3:9
6÷3=2
18÷3=4=6
6÷6=1
18÷6=3
1:3
this ratios are all not equal or proportional to1:4
Find the surface area of the prism.round to the nearest whole number
And working out
I'm not entirely sure if this is what you're looking for, but I'm going to try to help anyways.
A rectangle’s width is one-fourth of its length. Its area is 9 square units. The equation l(l) = 9 can be used to find l, the length of the rectangle. What is the length of the rectangle? 0. 75 units 1. 5 units 3 units 6 units.
By using the given condition, the length of the rectangle is 6 units.
It is given that
Area of the rectangle = 9 square units
Width of the rectangle = 1/4 of length
What is the area of a rectangle?The area of a rectangle is the multiplication of its length to width.
Let us take the length of the rectangle as l
So, the width of the rectangle will be l/4
Area of the rectangle,
[tex]l*\frac{l}{4} = 9(given)[/tex]
[tex]l^{2} = 36\\l = 6[/tex]
Therefore, the length of the given rectangle is 6 units,
To get more about rectangles, visit:
https://brainly.com/question/25292087
Answer: 6 units or D.
Step-by-step explanation:
Find the area of the composite figure.
Answer:
42cm
Step-by-step explanation:
I'm sry if I'm wrong
Answer:
42 square centimeters
Step-by-step explanation:
We know all the sides of the square is 6 cm.
The side of a square and the triangle on the bottom add to 8 cm.
The bottom part of the triangle must be 2 cm.
The area of the square is 36 square centimeters as we use the formula Area = side x side for a square.
The height of the triangle is 6cm as it is as tall as the square.
The formula of a triangle is 1/2 * base * height.
1/2*(6)*(2) = 6 square centimetes.
Adding the two together,
36 + 6 = 42
What is the most reasonable answer for the following question? There are 1300 students at Eric B. Smith Middle School. Approximately 700 of the students take the bus home. 25% of the rest of the students that do not take the bus get a ride home. Approximately how many students get a ride home?
Answer:
150 students
Step-by-step explanation:
1300 - 700 = 600
600 x .25 = 150 (25% = 0.25)
A local craft store is selling different kinds of craft paint for $2, $3,
$2, $15, and $2. When placing an ad in the local paper, which
measure of central tendency should it use to advertise?
The measure of the central tendency of the local paper can be mean, median or mode
The local paper should use the median as the measure of the central tendency
How to determine the measure of central tendency
The dataset is given as:
$2, $3, $2, $15, and $2
Rearrange the dataset
$2, $2, $2, $3, $15
In the above dataset, $15 is relatively larger than the other dataset
This means that:
$15 is an outlier of the dataset
Median is not affected by outlier, while mean is affected by outliers
Hence, the local paper should use the median as the measure of the central tendency
Read more about central tendency at:
https://brainly.com/question/17726154