Answer:
an exponential growth function to represent this situation is:
[tex]x\left(t\right)=100,000\times \left(1.09\right)^t\:[/tex]
Step-by-step explanation:
We know that the exponential growth function is of the form
[tex]x\left(t\right)\:=\:x_0\:\times \:\left(1\:+\:r\right)^t[/tex]
where
x(t) represents the value at time tx₀ represents the initial value at time t = 0. In other words, it is the initial value (the amount before measuring growth or decay)r represents the growth factor when r > 0 and decay factor when r < 0t represents the of time intervals that have passedIn our case,
Given that
A social media website had 100,000 followers its first year. Thus,
x₀ = 100,000The number of followers increased by 9% each year. Thus,
r = 9% = 0.09Thus, substituting r = 0.09 and x₀ = 100,000 in the growth function
[tex]x\left(t\right)\:=\:x_0\:\times \:\left(1\:+\:r\right)^t[/tex]
[tex]x\left(t\right)=100,000\times \left(1+0.09\right)^t\:[/tex]
[tex]x\left(t\right)=100,000\times \left(1.09\right)^t\:[/tex]
Therefore, an exponential growth function to represent this situation is:
[tex]x\left(t\right)=100,000\times \left(1.09\right)^t\:[/tex]
What is the circumference of the field? *
a circular field has a area of 14400 sq ft
Answer:
425.39
Step-by-step explanation:
Manuels dog eats 3/4 bag of dog food in 1 month how many bags of dog food does Manuel's dog eat in 6 months
Answer:
3/4 X 6/1 = 18/4 = 4 1/2
6% sales tax was added
onto a $205 purchase from
a sporting good store. How
much was paid in tax?
Answer:
$12.30
Step-by-step explanation:
6% of $205 =
= 0.06 * $205
= $12.30
Answer: $12.30
Suzy bought five pairs of socks for $12.50 how much would 18 pairs cost?
Answer:
45$? i did this on a calculator so maybe?
I'm not sure how to find the unknown angle
Answer:
x=82
Step-by-step explanation:
All triangles have interior angles that add up to 180 Degrees.
We already know one of the angles, and the other two are the same.
180-16=164
164/2=82
Answer:
x=82
Step-by-step explanation:
well it's an isosceles triangle(two sides of the same lenght) which means that the angles between these 2 sides and the 3rd one are also equal. 2x=180-16 x=82
When Monica went hiking, she saw 6 elm trees. She saw 25 trees in total. What percent of trees that Monica saw were elm trees
Answer:
24% i did the math
Answer:
24% were elm
6÷25 = 24%
7 times the difference of y and 4 I need a algebraic expression
Answer:
7(y-4)
Step-by-step explanation:
Hope this helped, have a nice day! :)
PLEASE HELP!!!!
solve for x.
5 x =5x because 2 turns to 3 so 3 turns to 5
I need help on this..
Answer:
x^3 + 3 (the third option)
Step-by-step explanation:
In this question, we are asked to find the missing value inside the parenthesis.
x^8 +3x^5 = x^5(____)
We see that x^5 is factored out of the original expression, so we can obtain the answer by dividing both terms by x^5.
x^8 / x^5 = x^3
3x^5/ x^5 = 3
So we have: x^3 + 3.
Let me know if this helps!
? What is the basic unit of weight in the metric system of measurement?
A. gram C. milligram
B. kilogram D. ton
Answer:
A. Gram
Step-by-step explanation:
Hope this helps :D brainliest pleaseeee
Tania has a roll of cloth that is 52.5 feet long. She uses the cloth to make scarves that are 3.75 feet long. How many scarves can Tania
Make?
Please solve for me
Answer:
14
Step-by-step explanation:
Divide 52.5 feet by 3.75 feet to find the number of 3.75-foot scarves that can be made:
(52.5 ft)/(3.75 ft/scarf) = 14 scarves
Rate of Commission" refers to the amount sold. True or false
Answer:
False
mind giving me brainliest im on my way to ace, thanks!
Step-by-step explanation:
Ruby iced the top of a mini cake and large cake for an order. How many more square inches was the top of the large cake compared to the mini cake?
A. 51 in.
B. 76.16 in
C. 63.6
Answer:
wheres the given??
Step-by-step explanation:
I NEED THE GIVEN!!!
Donovan took a math test and got 35 correct out of a total of 45 questions. What was the percentage of correct answers? Round your answer to the nearest hundredth.
The original value of an investment is 45000and the value increases by 12% each year.Write and use an exponential growth function to find the value of the investment after 20 years.Round to the nearest whole number
Answer:
434083
Step-by-step explanation:
[tex](1.12)^{20} * 45000 = 434083[/tex]
HELP ASAP PLEASEEEE
Solve.
16 = w/-2
A.-32
B.-22
C.18
D.32.
Answer:
the answer is -32............
Answer:
-32
Step-by-step explanation:
as a review recall the difference between perimeter, area and volume
Answer:
perimeter are the adding up of all side in a figure. Area is length times width and volume is length x width x height
Step-by-step explanation:
plz mark the brainliest
Answer:
Volume: The amount a container can hold.
Area: The space a flat shape covers.
Perimeter: The length around an object.
Step-by-step explanation:
Work out the values of x for which
x2 + 5x – 14 < 0
Give your answer as an inequality.
Answer:
Step-by-step explanation:
x is 9
Answer:
Hi! The correct answer is -7<x<2!
Step-by-step explanation:
~Solve the inequality by finding the roots and creating test intervals~
2cm
5cm
10cm
Which equation can be used to find the volume of the right rectangular prisms?
A)
V = (10)(5)
B)
V = (10)(2)
C)
V = (10)(5)(2)
D)
V = 10(5 + 2)2
Pls help ASAP
Answer:
C
Step-by-step explanation:
Retangular prisms volume= lengthxwidthxheight
therefor you have to include all three number making you answer C
Max started a trip with of a tank of gas. At the end of his trip, Max had of a tank left. How much gas did Max use on the trip?
Answer:
None or all of it and he the refilled but it's probably none
Step-by-step explanation:
Because his final product is the same as his starting point
Please help almost due!!!!!!!!!!
Step-by-step explanation:
Let's finish strong! Maybe we'll have some time for some fun activities!
Let's start with angle B.
Remember that the internal angle of a triangle will always equal 180.
We have a rignt angle (90), a known angle (54), and unknown B.
We can establish a simple equation to solve for B. [tex]B = 180 - 90 - 54[/tex]
33% done!
To solve for the other sides of the triangle, we'll need to use our trig functions! Boo! I know, but they are super handy! Let's see them in action.
Remember that ol' saying - some old hippy caught another hippy tripping on acid. SOH, CAH, TOA.
sin = opposite over hypotenuse, cos = adjacent over hypotenuse, tan = opposite over adjacent. [tex]tan(54) = a/23[/tex]
A little fancy calculator work and we're 66% done! whew!
If we know a and the third side as being 23, we can just use the Pythagorean theorem
[tex]c^2 = a^2 + b^2[/tex]
Done! Wow! That's feels good. Great job!
how to find the perimeter of the triangle ?
Answer:
5.448
5.450 (simplified)
Step-by-step explanation:
since it is a right triangle one of the angle is 90 degrees
first angle = 31
second angle = 90
first side = 5
use sines
perimeter = 5 + [5 / sin(31 + 30)] * [sin(31) + sin(90)] = 5.448
3m-6n + 2m +4n
PLZZZZ HELPP
Answer:
5
−
2
Step-by-step explanation:
3
−
6
+
2
+
4
5
−
6
+
4
The music teacher receives 9 boxes of recorders there are six recorders in each box she hands them out to third graders and has 5recorders left how many third graders received a recorder
Answer:
49 third graders
Step-by-step explanation:
From the question:
The music teacher receives 9 boxes of recorders and there are six recorders in each box
The total number of recorders the teacher received =
1 box = 6 recorders
9 boxes = x
Cross Multiply
x = 9 × 6 recorders
x = 54 recorders.
She hands them out to third graders and has 5recorders left .
How many third graders received a recorder?
The amount of recorders shared =
54 recorders - 5 recorders
= 49 recorders
If 1 recorders was given to a third grader,
Therefore, the amount of third graders that received a recorder is 49 third graders
What is the area of this figure?
Enter your answer in the box.
Answer:
there is no answer may you show it please so we can help you please thank you very much
Step-by-step explanation:
-3=x/-9 please tell me how to solve this I’m way behind and trying to learn thank you :)
-3 = x/-9
To make this easier, I'll put it in normal numbers
(-3 = x/-9) -1
3 = x/9
Multiply both sides by nine to take out the division.
27 = x
Hope that this helped!
If h(x) = 6 – x, what is the value of (h circle h) (10)?
–4
–2
10
16
Answer:
10
Step-by-step explanation:
To get this, we get h circle h (10)
we start by getting h circle h
That simply means placing h in h
we have this as:
6-(6-x)
= 6-6 + x = x
Next here is to find h circle h (10)
We simply replace x by 10 here so we have 10 as the answer
Answer:
Its C
Step-by-step explanation:
There are 32 male performers in a dance recital. The ratio of men to women is 4:5. How many women are in the recital
Answer:
40
Step-by-step explanation:
if the ratio from men to woman is 4:5 and men are 32 that means w need to find a way to get to 32 using 4 and 8 x 4 is 32. so if we use 8 to get to 32 we need to use 8 on 5 aswell for it to be an equal ratio.
Gina and Glen share a 24-ounce bucket of clay. By the end of the week, Gina has used
5/8
of the bucket, and Glen has used
1/4
of the bucket of clay. How many ounces are left in the bucket?
Answer: 3 ounces
Step-by-step explanation:
1/4=2/8
5/8 + 2/8 = 7/8
7/8 = x/24
8x3= 24
7x3=21
24-21=3
Answer:
3 ounces remain
Step-by-step explanation:
5/8 + 1/4 = ?
5/8 + 2/8 = ? (find common denominators)
= 7/8 of the bucket
7/8 = ?/24 (trying to find how many ounces is 7/8 of the bucket)
7/8 = 21/24 (multiple 7 with 3)
24 - 21 = ? (trying to find how many ounces are left)
= 3 ounces
Students surveyed boys and girls separately to determine which sport was enjoyed the most.
• After completing the boy survey, it was determined that for every 3 boys who enjoyed
soccer, 7 boys enjoyed basketball.
• The girl survey had a ratio of the number of girls who enjoyed soccer to the number of girls
who enjoyed basketball of 5:3.
If the same number of boys and girls were surveyed, and 45 girls enjoy soccer, how many boys
enjoy each sport?
Answer:
15
Step-by-step explanation:
