9514 1404 393
Answer:
f(x) = 4·3^x
Step-by-step explanation:
We assume the function will be of the form ...
f(x) = a·b^x
Substituting the given values, we can find 'a' and 'b'.
4/9 = a·b^(-2)
108 = a·b^3
Dividing the second equation by the first gives ...
108/(4/9) = b^(3 -(-2))
243 = b^5
b = 3 . . . . . . 5th root
Using the second equation, we can find 'a':
108 = a·3^3 = 27a
a = 108/27 = 4
The formula for the exponential function is ...
f(x) = 4·3^x
The pumps will turn off when the volume in the tank hits 10,000 gallons. To the nearest minutes after how long does this happen
Answer:
150 minutes
Step-by-step explanation:
A hose fills a hot tub at a rate of 4.86 gallons per minute. How many hours will it take to fill a 267 gallon hot tub?
Find the differential of the function.
u = 3x4 + 4
Answer:
U(x)= 3+4
Step-by-step explanation:
I simplified this equation into function notation form, then simplified the 12 and 4 with the common factor of 4.
Hope this helped and have a great day,
Ginny
Answer:
14
Step-by-step explanation:
you could solve this three different ways
1. 4*3 is 12 so add 4 = 16
2. 4 squared because 4*4 = 16
3. draw 4 groups of four to get 16
What is 2(5-3x)+(x-10)
Answer:
-5x
Step-by-step explanation:
-5x
step to step explaination:
2(5-3x)+(x-10)
=10-6x+x-10
=10-10-6x+x
= -5x
PLEASE MARK MY ANSWER AS BRAINLIEST.
If the function f (x) is defined by f(x) =x over 2 minus 6
Depending on how it is written, it could be either of these following solutions:
f(x) = x/2 - 6 or f(x) = x/(2-6)
For the first, we solve for x by replacing f(x) with 0
x/2 - 6 = 0
x/2 = 6
x = 3
For the second, do the same
x/(2-6) = 0
x/-4 = 0
x = 0
If 49600 dollars is invested at an interest rate of 8 percent per year, find the value of the investment at the end of 5 years for the following compounding methods.
Monthly:
Daily:
Answer:
Monthly = 31000 Daily = 10950000
Step-by-step explanation:
49,600/6=31000
1825 days in 5 years
1825 x 6000
Hope that helps :)
Application 1-a
PROBLEM 1- Completing the cycle.
Requirements:
a. Provide journal entries.
b. Post the entries to the ledger.
c. Prepare the unadjusted trial balance.
d. Provide the adjusting entries.
e. Complete the worksheet up to post-closing trial balance.
f. Prepare the closing entries.
g. Prepare the balance sheet and income statement.
Entity Backspace started operations in 20x1. The following were the transactions for the year ended
December 31, 20x1:
1. The owner invested P 300, 000 cash in the business.
2. The business obtained a 12%, one-year, bank loan of P200, 000 on October 1, 20x1. Principal and
interest are due at maturity date.
3. Purchased office supplies worth P80, 000 for cash (Entity Backspace uses the Asset method).
4. Purchased equipment on November 1, 20x1 for P360, 000 cash. (5 years useful life)
5. Rendered services worth P180, 000 for cash.
6. Rendered services worth P420, 000 on account.
7. Collected P370, 000 accounts receivable.
8. Paid utilities expense of P16, 000.
9. Paid salaries expense of P140, 000.
10. The owner withdrew P100, 000 cash from the business.
Application b
Instruction: For each of the sales terms, determine the following:
1. the amount recorded as a sale.
2. the amount of cash received.
On July 1, 2019, Savery Lace & Boxes sold merchandise with a P 150, 000 list price.
•Trade Discount •Credit Terms •Date Paid
a. 30% 2/10, n/30 July 8
b. 40% 1/10, n/30. July 15
c. - 2/10, n/30. July 11
d. 20% 1/15,n/30 July 14
e. 40% n/30. July 28
Application C
1. On January 1, 20x1, Mr. A and Ms. B formed a partnership. Mr. A contributed cash of ₱500,000
while Ms. B contributed a building with carrying amount of ₱400,000 and fair value of ₱800,000. The
building has an unpaid mortgage of ₱200,000 which is not assumed by the partnership.
Requirement: Provide the journal entry to record the contributions of the partners.
Edward run 1/3 of a mile in 5 minutes. If he runs 3/4 of an hour, how far does he go?
Answer:
He goes 4 miles
Step-by-step explanation:
Dante runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
Step-by-step:
We can write it in the proportion [tex]\frac{7}{60} = \frac{x}{24}[/tex]
where x is our number of miles trying to find
We now cross multiply or use the butterfly method which I will demonstrate both
Cross MultiplyWe multiply the numerator with the dominator
so [tex]7 multiplied by 24[/tex]
and [tex]60 multiplied by x[/tex]
[tex]7*24=60x[/tex]
[tex]168=60x[/tex]
[tex]\frac{168}{60} =\frac{60x}{60}[/tex]
[tex]2.8=x[/tex] or [tex]x=2.8[/tex]
Now for the
Butterfly MethodYou would do 7 times 24 divided by 60 or [tex]\frac{7*24}{60}[/tex]
Then[tex]\frac{168}{60}[/tex] simplify
[tex]2.8[/tex] so 2.8 miles in either method
what is f(x) =|x – 4| + 1 graphed.?
Answer:
Step-by-step explanation:
Table of value
x y
2 3
3 2
4 1
5 2
6 3
Please help me with this
Answer:
13, 25, 37
Step-by-step explanation:
We can take the last two, they are 12 numbers apart. 25-12=13. That’s one of the numbers given. And voila! This is a arithmetic Progression with the rule add 12:
13, 25, 37
Hope this helps! :)
x + ( -22 ) = 31
x = ?
x + ( -22 ) = 31
x = ?
Answer :x = 31 - ( -22 )
x = 31 + 22 =
x = 53
x = 53 ✔️
Answer:
52
Step-by-step explanation:
x + (-21)=31
x-21=31
x=31+21
x=52
g(x)=x^2-6/3x+10 g(4)=?
Answer:
g(4) = [tex]\frac{5}{11}[/tex]
Step-by-step explanation:
Substitute x = 4 into g(x) , that is
g(4) = [tex]\frac{4^2-6}{3(4)+10}[/tex] = [tex]\frac{16-6}{12+10}[/tex] = [tex]\frac{10}{22}[/tex] = [tex]\frac{5}{11}[/tex]
_______
[tex] \: [/tex]
[tex] \sf{g(x) = \frac{ {x}^{2} - 6 }{3x + 10} }[/tex]
[tex] \sf{g(4) = \frac{ {4}^{2} - 6 }{3(4) + 10}} [/tex]
[tex] \sf{g(4) = \frac{16 - 6}{12 + 10}} [/tex]
[tex] \sf{g(4) = \frac{10}{22}} [/tex]
[tex] \sf{g(4) = \bold{\frac{5}{11}} }[/tex]
The mean of 4 numbers is 40, what is the sum of the 4 numbers
Answer:
the sum of 4 numbers is 160
Step-by-step explanation:
Let 4 numbers be a, b, c, d
Mean of those 4 numbers is: (a+b+c+d) : 4 = 40
So the sum of 4 numbers is: (a+b+c+d) = 40 x 4 = 160
=> 160 is the sum of 4 numbers
How to find out the least common denominator of 3/4 and 7/10
Answer:
20
Step-by-step explanation:
you use prime factor method to find the least common divider of denominator 10 and 5
Anybody know the answer?
Answer:
Step-by-step explanation:
Lindsey went to best buy and bought an MP3 Player. If the MP3 Player costs $78.99 and the sales tax was 6.5%, what was her total bill?
Answer:
$84.12
Step-by-step explanation:
78.99 x 0.065 = 5.13
78.99 + 5.13 = 84.12
find the the sulotion set/roots of the following equation
1. x(x + 3) = 28
2.3s(s-2) = 12s
3.( t + 1)²+(t - 8) ² = 45
4.(x + 2)² (x - 2)² 16
_______ + __ = _
5 3 3
5. 4 r
______ + ____ = -2
t - 3 2
The sum of 3 times a number and 14 is equal to 41
Answer: The number is 9.
Step-by-step explanation:
The words of the question are in essence 3x + 14 = 41.
Subtract
3x = 27
Divide
x = 9
Hope it helps :) and let me know if you want me to elaborate.
This table represents a relationship Is this relationship proportional or not proportional?
Hours Worked 2 3 4 5 6
Total Income $20.50 $30.75 $41.00 $51.25 $61.50
Select from the drop down menus to correctly complete the statement
The relationship represented by this table is ______ because the unit rates _____
Answer:
Proportional and they are all equal to 10.25
Step-by-step explanation:
20.50/2=10.25
30.75/3=10.25
41/4=10.25
51.25/5=10.25
61.5/6=10.25
They all match. they are proportional.
La función de costos para una compañía es C=125q + 13500 y su punto de equilibrio es q=270. Plantear la función de Utilidad
Based on the information given, the total cost incurred based on the equation given as C= 125q + 13500 will be 47250.
From the information given, the cost function is given as C=125q + 13500 while the value of q is given as 270. Therefore, on order to find the cost, we'll slot in the value of q into the equation given. This will be:
C=125q + 13500
C = 125(270) + 13500
C = 33750 + 13500
C = 47250
In conclusion, the cost is 47250.
Read related link on:
https://brainly.com/question/25441033
which two ratios represent quantities that are proportional? A. 18/15 and 24/20 B. 33/18 and 66/26 C. 4/6 and 9/12 D. 9/14 and 45/56
Answer:
Option A is correct.
Step-by-step explanation:
which is the equation of a line that has a slope of -2/3 and passes through point (-3, -1)?
Answer: y = (-2/3)x - 3
Step-by-step explanation:
We'll be using y = mx + b
m = slope
b = y-intercept
Because we know this line will pass through -3, -1, we can input that.
y = mx + b
-1 = (-2/3)(-3) + b
-1 = 2 + b
b = -3
We can input that now to get the equation
y = (-2/3)x - 3
Jasmine travels 732 miles at an average speed of 65 mi/hr. How long will it take her to reach her destination? Round your answer to
the hundredths place.
Answer:
11.26 hrStep-by-step explanation:
Use the following equation:
Time = distance / speedt = 732 / 65 = 11.26 (rounded)Answer:11.26 hours
Step-by-step explanation:
Luna is competing in a 200 m race.
She runs at a constant speed of 5.4 m/s for the first 50 m, then 4.4 m/s for 10 seconds.
The remainder of the race takes her 29 seconds to complete.
What is Luna's average speed for the entire race to 1 dp?
Answer:
24
Step-by-step explanation:
Answer:
24 in the answer
Step-by-step explanation:
solve for x, −3x + 8 < 15
Answer:
x>-7/3
Step-by-step explanation:
Subtract 8 on both sides:
-3x<7
Divide by -3 on both sides
(You will need to switch the signs when you divide or multiply by a negative)
x>-7/3
Thus, x>-7/3
Hope this helps!
Answer:
7/3
Step-by-step explanation:
-3x+8; Greater than 15:-3x; greater than 15-8=7:_xGreaterthan;7÷3;x Greater than 7/3
What is the quotient of 8×10 to the 20/4÷2×10 to the 18th in scientific notation
Step-by-step explanation:
[tex] = \frac{8 \times {10}^{24} }{ 2\times {10}^{18} } [/tex]
[tex] = \frac{8}{2} \times {10}^{24 - 18} [/tex]
[tex] = 4 \times {10}^{6} [/tex]
[tex] \: [/tex]
[tex] \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = 4 \times {10}^{6} [/tex]
Answer:
[tex] \sf \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = ... \times {10}^{?} [/tex]
[tex] \sf (8 \div 2) \times {10}^{(24 - 18)} =... \times {10}^{?} [/tex]
[tex] \sf4 \times {10}^{6} = ... \times {10}^{?} [/tex]
[tex]↪4 \times {10}^{6} [/tex]
What is the distance between the points(-3, 5) and (-3, – 6)?
O 1 unit
O 5 units
O 6 units
b
0 11 units
Answer:
11 units
Step-by-step explanation:
[tex]\sqrt{(x_{2} - x_{1})^2 + (y_{2}- y_{1})^2 }[/tex]
= [tex]\sqrt{[-3-(-3)]^2 + (-6 -5)^2}[/tex]
= [tex]\sqrt{0^2 + (-11)^2}[/tex]
= [tex]\sqrt{0 + 121}[/tex]
= [tex]\sqrt{121}[/tex]
= 11
Aaliyah has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at $39, before discount and tax. After the discount, and before tax, the price is $33.54. Find the percent discount.
Answer:
16.13
Step-by-step explanation:
What's the sum of 14,12,8,and 6
Answer:
40
Step-by-step explanation:
14 + 12 + 8 + 6 = ?
20 + 20 = ?
20 + 20 = 40
