Answer: she has 15 dimes and 45 pennies.
Step-by-step explanation:
01p+1d=1.95
p=3d
01(3d)+.1d=1.95
p=3.15
03d+.1d=1.95
p=45
.13d=1.95
d=15
PLEASE HELP, Will give brainliest if u help and 38 points.
You are deciding between two laptops to purchase. The first laptop has an initial value
of $2000 but loses 14% of its value every year. The second laptop has an initial value
of $1200 but loses 11% of its value every year.
a. Write functions that represent the values (in dollars) of the laptops after t years.
Then graph the functions in the same coordinate plane.
b. Find the approximate monthly percent decrease in value for each laptop.
C. Which laptop should you buy if you plan on selling the laptop in 5 years? Explain
your reasoning
Step-by-step explanation:
a)
The first laptop
Initial value- $2000Value loss - 14% every yearFunction for value- V(t) = 2000*0.86^tThe second laptop
Initial value- $1200Value loss - 11% every yearFunction- V(t) = 1200*0.89^tb)
Monthly percent decrease
The first laptop:
14%/12 = 1.16%The second laptop:
11%/12 = 0.92%c)
The second laptop will lose less value in 5 years hence is better choice
See the graph attached
A petri dish has 10, 000 bacteria in it. After 4 hours the bacteria’s population increased to 20,000. If the number of colonies grows exponentially, write a formula for the number of bacteria in the dish at any time t, where t is in hours
Answer:
[tex]P(t) = 10000e^{0.1733t}[/tex]
Step-by-step explanation:
The population of bacteria grows exponentially, which means that it can be represented by a function in the following format:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate.
A petri dish has 10, 000 bacteria in it.
This means that [tex]P(0) = 10000[/tex]. So
[tex]P(t) = 10000e^{rt}[/tex]
After 4 hours the bacteria’s population increased to 20,000.
This means that [tex]P(4) = 20000[/tex], and we use this to find the growth rate. So
[tex]P(t) = 10000e^{rt}[/tex]
[tex]20000 = 10000e^{4r}[/tex]
[tex]e^{4r} = \frac{20000}{10000}[/tex]
[tex]e^{4r} = 2[/tex]
[tex]\ln{e^{4r}} = \ln{2}[/tex]
[tex]4r = \ln{2}[/tex]
[tex]r = \frac{\ln{2}}{4}[/tex]
[tex]r = 0.1733[/tex]
So, the formula is given by:
[tex]P(t) = 10000e^{0.1733t}[/tex]
Arthur has a box which contains 6 black balls and n (n ≥ 2) white balls, then at random, he takes 3 balls from the box. If the probability of taking any ball is the same and Pₙ is the probability of taking 1 black ball and 2 white balls, what is the largest possible value for Pₙ?
Answer:
11/68 or 0.1618Step-by-step explanation:
Balls
Black - 6White - nOptions of getting 3 balls
1. White, black, black2. Black, white, black3. Black, black, whiteProbability P(n) in each option
1. WBB
P(w) = 6/(n + 6)P(b1) = n/(n + 6 - 1) = n/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 1)P(n) =
P(w)P(b1)(P(b2) = 6/(n+6) × n/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)2. BWB
P(b1) = n/(n + 6)P(w) = 6/(n + 6 - 1) = 6/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 4)P(n) =
P(b1)P(w)(P(b2) = n/(n+6) × 6/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)3. BBW
P(b1) = n/(n + 6)P(b2) = (n - 1)/(n + 6 - 1) = (n - 1)/(n + 5)P(w) = 6/(n + 5 - 1) = 6/(n + 4)P(n) =
P(b1)P(b2)(P(w) = n/(n+6) × (n - 1)/(n + 5) × 6/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)Final equation is same for each case:
P(n) = 6n(n - 1) / (n + 6)(n + 5)(n + 4)The easy way to find the maximum is to try the numbers or graph.
Both of the methods give the maximum integer n = 11 or n = 12
See attached graph
At both values n we get P(n):
P(11) = 6*11*10 / 15*16*17 = 11/68 = 0.1618 (rounded)P(12) = 6*12*11 / 16*17*18 = 11/68 = 0.1618 (rounded)What is the decimal Expansion of the following fraction?
Answer:
B
Step-by-step explanation:
1/25 = 0.04 only. this is surely the anwer
Use the fractions 36in./1yd and 2.54 cm/1 in convert 3yd to cm
A new car is purchased for 20000 dollars.The value of the cat depreciates at 12.5% per year.What will the value of the car be, to the nearest cent, after 11 years?
Answer:
$460.38
Step-by-step explanation:
Use the exponential decay formula, y = C(1 - r)^t
Plug in the original price, depreciation rate, and amount of time:
y = 20000(0.875)^11
y = 460.38
So, the car's value after 11 years will be $460.38
You spin the spinner twice.
5
4
What is the probability of landing on an odd number and then landing on a 5?
Simplify your answer and write it as a fraction or whole number.
Submit
Answer:
5 by 2
because the number is 5 .
And the spinner is spin two time
so 5 by 2
Step-by-step explanation:
hope it helps you
Please help me I’ll give you brainliest
which number from the set {9, 10, 13, 15} is the solution to this equation
3(x - 7) = 9
A) 9
B) 10
C) 13
D) 15
Please help I’ll mark you as brainliest if correct!!!
Answer:
First is correct
Second is perimeter
Why? Because perimeter is the surounding part
Answer:
The first one is correct the second one is Perimeter
Step-by-step explanation:
Hope this Helps! :)
How many pounds are in 24 ounces?
A. 1/2
B. 1
C. 1 1 /2
D. 2
Answer:
C is the answer
Step-by-step explanation:
Answer:
1.5 pounds so option c
Step-by-step explanation:
I hope this helps with your problem :)
You start a bank account with $50. Each week after that, you deposit $12. How many weeks will it take to have
$230 in the account?
A. 15
B. 8
C. 24.3
D. 10
Answer:
15 (A)
A is the legit answer.
If a pound of turkey costs $0.82, how much will n pounds cost?
What interval notation represents the data graphed below?
A. [1, 4]
B. [1, 4)
C. (1, 4)
D. (1, 4]
Can someone please answer 1 for me? Whoever can answer gets brainliest
need help asap please !!
Answer:
17
Step-by-step explanation:
As we know that when diagonals bisect each other it gets divided into two equal parts so
CG = CE
6z - 85 = z
6z - z = 85
5z = 85
z = 85 / 5
Therefore z = 17
Hope it will help :)
Answer:
[tex]\displaystyle 17[/tex]
Step-by-step explanation:
[tex]\displaystyle 6z - 85 = z → 85 = 5z; 17 = z[/tex]
I am joyous to assist you at any time.
Help here is an easy one
Answer:
x = 30°
Step-by-step explanation:
Given that,
∠A = x°
∠B = 2x°
∠C = 90°
We need to find the value of x.
We know that the sum of angles of a triangle is equal to 180°.
ATQ,
x° + 2x° + 90° = 180°
3x° = 180°-90°
3x° = 90°
x° = 30°
So, the value of x is 30°.
Answer:
3x+90=180
3x=90
x=30
Step-by-step explanation:
3 3/5 x (-8 1/3) =
Please help and quick
Answer:
3 3/5 x (-8 1/3) = -30/1
= -30
Step-by-step explanation:
Answer:
The chosen topic is not meant for use with this type of problem. Try the examples below.
(
x
−
1
)
(
x
+
2
)
(
2
x
+
3
)
(
x
2
−
x
−
1
)
(
0
)
(
x
+
3
)
Step-by-step explanation:
What is 50 x 79 x 27 + 69
106,719
Answer:
[tex]50 \times 79 \times 27 + 69 \\ \\ = 106,650 + 69 \\ \\ = 106,719[/tex]
Answer:
173790.07374
Step-by-step explanation:
if u apply DMAS rule it will give u same answer if u simply do this it will again give u same answer for sure!
first multiply each then add 60
pls mark this brainliest
n thanks
37 people showed up to the party. There were 9 less men than women present. How many women were there?
Answer:
23
Step-by-step explanation:
tbh, i just guessed around the numbers until i got the right one xD
The number of women present in the party will be 23.
What is expression ?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
Total persons in party = 37
Let,
Number of men = m
Number of women = w
So,
Total number of persons in party ,
m + w = 37 .....(i)
Now,
According to the question,
m = w - 9
Now
Substituting m = w - 9 in equation (i),
i.e.
w - 9 + w = 37
We get,
2w = 37 + 9
2w = 46
We get,
w = 23
So, number of women are 23.
Hence, we can say that the number of women present in the party were 23.
To know more about expression click here
https://brainly.com/question/14083225
#SPJ2
Help me out to get this math problem solve
Answer:
1. 1900 children.
2. 600 adults.
Step-by-step explanation:
Let c represent the number children.
Let a represent the number of adult.
From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:
2500 = c + a ..... (1)
From the question given above, we were told that:
Cost per child = $ 2
Cost per adult = $ 4
Total amount collected = $ 6200
Thus, we can write the above as:
6200 = 2c + 4a .....(2)
Summary:
2500 = c + a ..... (1)
6200 = 2c + 4a .....(2)
1. Determination of the number of children that attended the fair.
From equation 1
2500 = c + a
Make a the subject by rearranging
a = 2500 – c ....... (3)
Substitute the value of 'a' in equation 3 into equation 2
6200 = 2c + 4a
a = 2500 – c
6200 = 2c + 4(2500 – c)
Clear bracket
6200 = 2c + 10000 – 4c
Collect like terms
6200 – 10000 = 2c – 4c
–3800 = –2c
Divide both side by –2
c = –3800 / –2
c = 1900
Thus, 1900 children attended the fair
2. Determination of the number of adults that attended the fair.
Substitute the value of c into equation 3.
a = 2500 – c
c = 1900
a = 2500 – 1900
a = 600
Thus, 600 adults attended the fair.
Each bill at a restaurant includes an 18% tip. Which of the following bill amounts and tips could be from this restaurant? Select Yes or No.
Answer:
1. Yes
2. No
3. No
4. Yes
Luis solves the following system of equations by elimination.
5s+ 3t = 30
2s+3t=-3
What is the value of s in the solution of the system?
Ryan has two jobs. He earns $9 per hour for x hours babysitting his cousins and he earns $18 per hour for y hours working at the coffee shop. Ryan will work both jobs. He is able to work no more than 10 hours a week, due to school commitments. Ryan wants to earn at least $72 a week, working a combination of both jobs.
Answer:
Umm I don't think you wrote out the whole question...
Step-by-step explanation:
$18 nine hours, $9 one hour = $177
$18 eight hours, $9 two hours = $162
$18 seven hours, $9 three hours = $153
$18 six hours, $9 four hours = $144
$18 five hours, $9 five hours = $135
$18 four hours, $9 six hours = $126
$18 three hours, $9 seven hours = $117
$18 two hours, $9 eight hours = $108
$18 one hour, $9 nine hours = $99
Guys i actually need help
Answer:
Rotation
Step-by-step explanation:
Answer:
That is just rotation.
Step-by-step explanation:
It is rotation because if you were to spin it to the right on a 57 degree it will be that angle.
It also not the others because if you were to put reflection that would it would the opposite.
An initial population of 800 endangered birds doubles each year. How many birds will there be in 18 months
Choose the equation that represents the graph below:
A) Y= -2x-6
B) Y= 2/3x+6
C) Y= -2/3x+6
D) Y= 2x+6
Answer: C
Step-by-step explanation:
The slope is
[tex]\frac{2-6}{6-0}=-\frac{2}{3}[/tex]
This eliminates all the options except for C.
Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes _________ the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more _________, which could potentially __________ the number of car accidents.
a. decrease; carefully; increase
b. decrease; recklessly; increase
c. increase; recklessly; increase
d. decrease; carefully; decrease
Answer:
a. decrease
b. recklessly
c. increase
Step-by-step explanation:
Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes decrease the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more recklessly which could potentially increase the number of car accidents.
Because the new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collision easily, drivers may become confident and drive recklessly which could potentially increase the number of car accidents
Which rule describes the translation?
y
5
B
С
O(x, y) - (x -8, y - 3)
O(x, y) = (x - 3, y + 8)
(x, y) + (x + 8, Y-3)
O (x, y) = (x + 3y + 8)
B'
C'
A
-5
D
A'
D'
Answer:
(x,y) -> (x + 8, y - 3)
Step-by-step explanation:
Move any point to the right 8 units, and down 3 units. You are just translating the shape, not dilating, reflecting, or rotating it.
Evaluate x divided by y if x = 3 1/2 and y = 3/4
Answer:
4 2/3
Step-by-step explanation:
hope this helps