Answer:
t=4.3
Step-by-step explanation:
y=a(2)^{\frac{t}{d}}
y=a(2)
d
t
y=6800\hspace{40px}a=5500\hspace{40px}d=14
y=6800a=5500d=14
d is the doubling time
\text{Plug in:}
Plug in:
6800=
6800=
\,\,5500(2)^{\frac{t}{14}}
5500(2)
14
t
\text{Solve for }t\text{:}
Solve for t:
\frac{6800}{5500}=
5500
6800
=
\,\,\frac{5500(2)^{\frac{t}{14}}}{5500}
5500
5500(2)
14
t
Divide by 5500
1.23636364=
1.23636364=
\,\,2^{\frac{t}{14}}
2
14
t
\log(1.23636364)=
log(1.23636364)=
\,\,\log\left(2^{\color{green}{\frac{t}{14}}}\right)
log(2
14
t
)
Take the log of both sides
\log(1.23636364)=
log(1.23636364)=
\,\,\color{green}{\frac{t}{14}}\log(2)
14
t
log(2)
Bring exponent to the front
\frac{\log(1.23636364)}{\log(2)}=
log(2)
log(1.23636364)
=
\,\,\frac{t}{14}
14
t
Divide by log(2)
0.30610313=
0.30610313=
\,\,\frac{t}{14}
14
t
Divide in calculator
14(0.30610313)=
14(0.30610313)=
Multiply by 14
4.285443788=
4.285443788=
\,\,t
t
On a flight,
3/10
of the passengers were children. There were
60 children on the flight. How many passengers were on
the plane?
Answer:
There were 200 passengers on the plane.
Step-by-step explanation:
1. 3/10 of the passengers were children -> 30% of the passengers were children
2. 60 children on the flight 30% of passengers = 60 people
divide by 3 -> 10% of passengers = 20 people
multiply by 10 -> 100% of passengers = 200 people.
PLEASE HELP
Lou deposited $1500 in a savings account. The
interest rate was 6.75% annually. How much
interest will he earn in 5 years?
And please add how you did it
Answer:
$506.25
Explanation:
assuming it is simple interest,
$1500 × 6.75% = $101.25 (interest earned each year)
$101.25 × 5 = $506.25 (interest earned in 5 years)
i hope this helps, feel free to comment if you need to clarify anything!
Amir can run 15 kilometers in one hour. How many kilometers can Amir run per minute? There are 60 minutes in 1 hour.
The answer is .25 kilometers a minute.
This is because [tex]speed = \frac{distance}{time}[/tex] so you need substitute then divide to find the answer
You can check this answer by doing 15÷60 which comes out to .25 km a minute.
Answer:0.25m per minute
Step-by-step explanation:
You divided the 15 by the 60 since 15 is the km and 60 minutes and you want to know how far can she run in minutes
Hope this helped :)
Tell me if it’s wrong :]
can someone help me please.
don't send any link
or ill report you!!!
Answer: 25 square units
You can divide the shape off into manageable chunks then multiply to find the answer!
Five-digit locker combinations are assigned using the digits 1–9. In how many ways can the combinations be formed if no digit can be repeated
Answer:
15, 120
Step-by-step explanation:
9P4
.............................................................................................
PLEASE HELP ASAP ✌️
Answer:
what is the question give it to us then we will answer
To the nearest dollar, how much did the business initially invest in 1991
A. $4,637
B. $4,631
C. $3,450
D. $3,455
Answer:
I think the answer is B
Step-by-step explanation:
6C + 47M=893.50
25C + 22M=527.86
Answer:
C = 4.94 M = 18.38
Step-by-step explanation:
the easiest way is to graph both equaitons and see where they intersect,
see the image
or solve by substitution
6C + 47M=893.50 C = (893.50 - 47M)/6
25C + 22M=527.86
25((893.50 - 47M)/6) + 22M = 527.86
25/6 [(893.50) - 47M] + 22M = 527.86
25/6 [ - 47M] + 22M = 527.86 - 25/6 [(893.50)
22M - 25(47M)/6 = -3195.06
22M - 195.83M = -3195.06
-173.83M = -3195.06
M = 18.38
C = (893.50 - 47(18.38)/6
C = 4.94
Please help .. would be appreciated
Answer:
x = 30
Step-by-step explanation:
[tex] \triangle JLK\sim\triangle PQR[/tex] (given)
[tex] \therefore \frac{JL}{PQ}=\frac{LK}{QR} [/tex]
(corresponding sides of similar triangles)
[tex] \therefore \frac{20}{x}=\frac{22}{33} [/tex]
[tex] \therefore \frac{20}{x}=\frac{2}{3} [/tex]
[tex] \therefore x=\frac{20\times 3}{2} [/tex]
[tex] \therefore x=\frac{60}{2} [/tex]
[tex] \therefore x=30 [/tex]
Or using scale factor:
Scale factor = 33/22 = 3/2
x = 20*3/2
x = 10*3
x = 30
Identify the coordinates for point C Type your answer in the form (#.#), without spaces.
Answer:
(0,2) :)
Step-by-step explanation:
Need to show work.
y + 12 = 41
Answer:
y=29
Step-by-step explanation:
y+12 - 12 = 41 -12
y=29
Answer:
y = 29
Step-by-step explanation:
subtract 12 on both sides to isolate & solve for y:
y + 12 = 41
- 12 -12
=> y = 41 - 12
=> y = 29
One day last summer, Tommy decided to take a drive into the countryside.
After a few hours' drive he arrived at a farm stand. Tommy was so excited by the sight of all those fresh fruits and veggies, that he tripped getting out of his MG and knocked over a huge basket of eggs. And of course they all broke!
He asked the farmer how many eggs were in the basket because he obviously wanted to compensate her for them. She said she didn't know exactly.
"But I do know,' she said, "that this morning I decided the eggs would be easier to sell if they weren't in a big basket but if they were in little paper bags.
"So when I took all my eggs and placed two in each bag I had one left over. I didn't like that so I took the eggs and I put three in each bag. And when I did that, I also had one left over.
"When I put four in each bag, I had one left over. When I put five in a bag or six in a bag, I had one left over. And when I put seven in a bag, I had none left over."
So here's the question: what's the smallest number of eggs that Tommy should have to pay for?
9514 1404 393
Answer:
301
Step-by-step explanation:
In order for the remainder to be 1 when the number is divided by 2, 3, 4, 5, or 6, it must be 1 more than a common multiple of those numbers. The least common multiple is ...
3·4·5 = 60
So, we want a number that is 1 more than a multiple of 60 and is divisible by 7. This gives us the Diophantine equation ...
7m -60n = 1 . . . . . where m and n are integers
Perhaps the easiest way to solve this is to try values of n between 0 and 6. We find that n=5 and m=43 will be the smallest positive value of m that satisfies this equation. This makes the number of eggs be 7×43 = 301.
Tommy should have to pay for 301 eggs.
Find the value of x in the triangle shown below 6 2
Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.Please use the Pythagorean Theorem formula which is a^2 + b^2 =c^2.
Answer:
The answer would be C
Step-by-step explanation:
To find the answer square the 12 yds and subtract that from 30 yds squared. That will leave you with 27.49, and you would just round that decimal up to 27.5 for youir answer.
what is 4649+3383473
Answer:
3388122
Step-by-step explanation:
Answer:
3388122
Step-by-step explanation:
just add them together or use a calculator
If you can buy 48 plaintains for $24 then how many can you buy with $4 ?
Answer:
8 plantains
Step-by-step explanation:
48=$24
x=. $4
192=24x , x= 192÷24= 8
Answer:
8 plantains
Step-by-step explanation:
Cost and number of plantains are in proportion
Number of plantains that can be bought for $ 4 be 'x'
48 : 24 :: x : 4
Product of means = product of extremes
24 * x = 48*4
[tex]x = \frac{48*4}{24}[/tex]
x = 2 * 4
x = 8
Triangle ABC is similar to triangle DEF. how long is EF?
A) 4
B) 10
C) 14
D) 12
Answer:
The answer is D) 12
Step-by-step explanation:
Multiple 4 by 3
Solve the system of equations by graphing. Look at the picture. Will Mark Brainliest
Answer:
See below
Step-by-step explanation:
Graphing:we are given two functions
[tex] \displaystyle \begin{cases}f(x) = - x + 5 \\ g(x) = {x}^{2} - 3x + 2\end{cases}[/tex]
where f(x) is a linear function and g(x) is a quadratic function
we want to figure out the solutions of the function
let's graph f(x):
the Black-table is attached
let's graph g(x):
the picture is attached
hence, the graph should be
the graph is attached
solutions stating:so we need solution(s) which satisfy(ies) the both functions
in this case the solution (s) the x coordinate(s) where both functions intercept we get from the graph that both functions intercept at (-1,6) and (3,2)
hence,
x={-1,3}
Find the value of x
Answer:
6
Step-by-step explanation:
Since all the angles are the same value, we can equal them to each other: x+2 = 8, which will give us x = 6.
Answer:
d
Step-by-step explanation:
find the least number of sweets that can be packed into polythene bags which contain either 9or 15 or 20 or 24 sweets with none left over
Answer:
i think 15
Step-by-step explanation:
15
graph the circle which is centered at (-1 -3) and which has the point (-7 -3) on it
Answer and Step-by-step explanation:
The answer is in the attached photo.
The center is at (-1, -3), and it will have a point on (-7, -3)
#teamtrees #PAW (Plant And Water)
1. What is the solution of n^2-49=0?
a. -7
b.7
c.≠7
d. no solution
2. What is the solution of x^2+64=0?
a.-5
b.8
c.≠8
d.no solution
3. What is the length of a square with an area of 144x^2
a.12
b.12x
c.≠4in
d.no solution
4. What is the value of b in the triangle?
a.-4in
b.4in
c.≠4in
d.no solution
5. What is the value of z so that -9 and 9 are both solutions of x^2+z=103
Answer:
1. a2. b3. b4. b5. 22Explanation:
1.
n²-49=0
n=√49
n=7
2.
x²+64=0
x=√64
x=8
3.
if A=144x²
l = √A
l = √(144x²)
l = 12x
4.
b = (24×2)/3b
b = 48/3b
b = 16/b
b² = 16
b = √16
b = 4 in (-4 is correct in algebra but there's no negative lengths in geometric shapes)
5.
x²+z = 103
x² = 103-z
x = √(103-z)
for x = -9 and 9 (103-z) must equal 81
z = 103 - 81 = 22
x = √(103-22)
x = √81
x = -9 , 9
This net could be folded to form a This figure will have v faces vertices. edges, and a
Answer: The figure is a rectangular pyramid. It has 5 faces, 4 edges, & 5 vertices.
Hope it helps.
The net can be folded into a rectangular pyramid with 4 edges, 5 faces, and 5 vertices.
What are rectangular pyramids?Pyramids are three-dimensional structures having triangle faces and have an encompassing polygon shape at its base. If the base of a pyramid is rectangular, then it is called a rectangular pyramid.
If we join the open ends of the triangles on top, we will get a rectangular pyramid.
To learn more about rectangular pyramids: https://brainly.com/question/21334693
#SPJ2
What is the value (Shown in the picture) of f(81)?
What is the sum of 50.249 + 21.3
Answer:
71.549
Step-by-step explanation:
Answer:
The sum of 50.249 + 21.3 is 71.549.
Step-by-step explanation:
50.249 + 21.3 can be written as (50 + 20) + (0 + 1) + (0.2 + 0.3) + 0.049, which makes calculating the sum easier. 50 + 20 = 70, 0 + 1 = 1, 0.2 + 0.3 = 0.5, and you still have a 0.049. Add the numbers all together and you'll get that the sum of 50.249 and 21.3 is 70 + 1 + 0.5 + 0.049 or 71.549.
i get a 25% discount (means decrease) at macys store. if i find a dress i like for $80, how much will i have to pay for it?
Answer:
you will pay $60
Step-by-step explanation:
25% (1/4) of 80 is 20
subtract 20 from the total (80)
80 - 20 = 60
$60
Answer:
60
Step-by-step explanation:
So if you get 25% off, you're basically paying 75%.
So first, convert the percentage to a decimal:
75% = 75/100 = 0.75
Now just multiply the decimal by the total cost:
80$ (0.75) = $60
if a number × is increased by 11,the result is 35.What is the number?
Answer:
24
Step-by-step explanation:
Equation: x + 11 = 35
1. Subtract 11 from both sides
x + 11 = 35
-11 -11
x = 24
Answer:
x is 24
Step-by-step explanation:
Let's write it down as an equation
If number x is increased by 11, we'll write is as x+11 and the result of that is 35, so x + 11 = 35
x + 11 = 35 implies that
x = 35 - 11
35 - 11 = 24
x = 24
How many solutions does this system of equations have? Explain how you know.
Answer:
No solution
Step-by-step explanation:
The given equations are :
9x-3y=-6
3x-y=2.....(1)
5y=15x+10
5y-15x=10
or
y-3x=2 .....(2)
Equations (1) and (2) shows that the lines are parallel. We know that for parallel lines, there is no solution.
Emma's dad and her Uncle Pete are trying to recreate their dad's famous dipping sauce for an upcoming family reunion. They remember thinking the sauce was too spicy when they were kids, but they can't remember exactly how much spicy chipotle sauce and tangy mayonnaise to mix now. Emma's dad uses 8 tablespoons of chipotle sauce and 12 tablespoons of mayonnaise. Uncle Pete uses 6 tablespoons of chipotle sauce and 10 tablespoons of mayonnaise. Who makes a spicier sauce?
NO LINKS PLEASE!!!!!!!
Step-by-step explanation:
the ratio is a comparison of two numbers that have the same unit so...
the answer is Emma's dad makes a spicy sauce
Answer:
Step-by-step explanation:
emmas dad becuase if it was the same pete would have to add 6.667 tsp to make it eqeal so emmas dad makes the spicer one
Write 186% as a mixed number in simplest form
Answer:
Step-by-step explanation:
Kwowvskdjshsns