Answer:
Step-by-step explanation:
If the initial amount of nickel is doubling in value each day, it means that the amount of nickel is increasing in geometric progression. The formula for determining the nth term of a geometric sequence is expressed as
Tn = ar^(n - 1)
Where
n represents the common ratio
a represents the first term of the sequence (initial amount)
n represents number of terms in the sequence (days)
r represents common ratio between consecutive terms(days)
From the information given,
r = 2
n = 10
a = 0.05
Therefore, for 10days, T10
T10 = 0.05 × 2^(10 - 1)
T10 = 0.05 × 2^9
T10 = 25.6
Answer:
Having a nickel doubled for 10 days gives 512 nickels, or 2560 cents.
Step-by-step explanation:
Having a nickel doubled in value each day for 10 days, we first write the amount of nickels we have in the first few days, inspect what pattern these numbers take, write a general formula for the sequence formed, and use the formula to find the 10th number easily.
For the first five days we have:
Day1: 1
Day2: 1 + 1 = 2
Day 3: 2 + 2 = 4
Day 4: 4 + 4 = 8
Day 5: = 8 + 8 = 16
...
This is a geometric progression, where the first term is 1, and the common ratio is 2.
The nth term is given as
Tn = ar^(n - 1)
Tn = 1 × 2^(n - 1)
= 2^(n - 1)
That is
Day n = 2^(n - 1)
Day 10 = 2^(10 - 1) = 2^9 = 512 nickels.
But because 1 nickels = 5 cents
512 nickels = 5 × 512 = 2560 cents.
Which expressions are equivalent to x + 2y + x + 2x+2y+x+2x, plus, 2, y, plus, x, plus, 2 ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 2(x+y+1)2(x+y+1)2, left parenthesis, x, plus, y, plus, 1, right parenthesis (Choice B) B 2x + 4y +42x+4y+42, x, plus, 4, y, plus, 4 (Choice C) C None of the above
Answer:
A. 2(x+y+1)
Step-by-step explanation:
The expression is
x+2y+x+2
Collect like terms
x+x+2y+2
Add like terms
2x+2y+2
Factorise the expression
2(x+y+1)
Answer:
(A) - 2(x+y+1)
Step-by-step explanation:
you're welcome
(this will be right if ur on kahn:)
I don’t need you to explain I just need the answer.
Answer:
Yes Yes No Yes
The temperature of a city at sunset was -2°F. Overnight, the temperature decreased by 13°F. What was the lowest temperature overnight in that city?
Answer:
the answer is -15°F
1st: draw a number line
2nd: start at -2
3rd: go back 13 spaces toward the negitive
4th: u get your answer= -15°F
Two numbers are in the ratio 3:5 . If their sum is 64 , then the numbers are-
24 and 40
20 and 44
30 and 34
14 and 50
Answer:
The two numbers are 24 and 40
-98 + -5 - 89 + 5 + 7
Answer:
-180 is your answer.
Step-by-step explanation:
Answer: -180
Step-by-step explanation: I uh, used the calculator app on my phone.
The fraction models below represent two fractions of the same whole. How much of the Fraction 3 over 8 is in the Fraction 1 over 4?
Answer:
2/3
Step-by-step explanation:
Your model may show you that 1/4 = 2/8. Of course that will be 2 out of 3 of the 3/8 making up the other fraction of the same whole.
1/4 = 2/3 of the fraction 3/8
Miguel’s savings account balance changed by -$48 over a year because a banking fee was withdrawn every month. He wants to find the monthly change to his account.
Answer:
-48 ÷ 12
Step-by-step explanation:
account balance changed over a year = -$48
In a year, there are 12 months. Above statement can also be written as
account balance changed in 12 months = -$48
we have to find monthly change, so we divide LHS and RHS by 12
account balance changed in 12 /12 months = -$48/12
Thus, account balance changed in 1 months = -$48/12
which is represented option 4 i.e -48 ÷ 12
A chef cooks 4 pounds of pasta. She serves 1/8 pound of pasta on each plate. What is the total numbers of plates the chef serves with 4 pounds of pasta
Answer:
4 ÷ [tex]\frac{1}{8}[/tex] = 4 x 8 = 32
Step-by-step explanation:
a bus travels at a speed of 80km per hour . what is the distance it travels by 15 mins.
Answer:
The bus will travel 20km within 15 minutes
Step-by-step explanation:
Answer: 20 km
Step-by-step explanation:
Distance = speed / time
Round 100.9052 to the nearest 10th
Answer:
100.9
Step-by-step explanation:
The 10th place is the one one right after the decimal, in this case 9. Since there's a 0 next to the nine you don't have to change anything. Thus you get 100.9
Describe the solutions of 6+y<10 in words.
The value of y is a number less than 4.
The value of y is a number equal to 3.
The value of y is a number less than or equal to 3.
The value of y is a number greater than 4.
PLEASE SOLVE THE FOLLOWING PROBLEM! IT'S SUPER EASY! |2x−3| =5
Answer:
We can split this into 2 "cases": 2x - 3 = 5 and 2x - 3 = -5 because you can find the absolute value of negative numbers as well. Solving the two cases we get x = 4, -1.
Answer:
4, -1
Step-by-step explanation:
2x-3=5
x=4
2x-3=-5
x=-1
Find the inverse of the equation y=2/3x-6
Answer:
2/3x−6
Step-by-step explanation:
Which ordered pair is the solution to the system of equations? {x+2y=−8y=12x−2
Answer:
[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]
Step-by-step explanation:
[tex]x+2y=-8 \\\\y=12x-2[/tex]
Substitute:
[tex]x+2(12x-2)=-8[/tex]
Expand:
[tex]x+24x-4=-8[/tex]
Simplify:
[tex]25x=-4[/tex]
Divide both sides by 25:
[tex]x=-\dfrac{4}{25}[/tex]
Plug this back into one of the original equations to find y:
[tex]-\dfrac{4}{25}+2y=-8 \\\\\\2y=-7 \dfrac{21}{25}=-\dfrac{196}{25} \\\\\\y=-\dfrac{98}{25}[/tex]
The ordered pair that represents this solution is therefore:
[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]
Hope this helps!
please come in clutch and help me please and thank you!
Answer:
3/20
Step-by-step explanation:
its 3/20 because its really the only possible answer that has 20 has its denominator
f(x)=x g(x)=1
What is the domain of (f/g)(x)?
Answer:
on edge
the first one is x=0 or a
and
all real numbers or C
Step-by-step explanation:
(f/g)(x) ⇒ f(x)/g(x) ⇒ x/1
Therefore, we look at the domain of the function x/1. There will almost always only be a gap if the denominator = 0. However, 1 ≠ 0, so therefore, there are no gaps or endpoints. Therefore, the domain is all real numbers
Answer:
First answer is A
Second answer C
Step-by-step explanation:
Edge 2020
Will give brainliest to whoever solves Calculate
Answer:
1. 2
2. 1
Step-by-step explanation:
All work is attached!
please mark brainliest!
Determine the value of y. answers : A) 46° B) 226° C) 180° D) 134°
Answer:
a) 46
Step-by-step explanation:
The total degrees of a straight line is 180, so if the angle on the other side of y is 134, then you subtract 180-134, to know the y value
180-134=46
The football club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $6.00
, and bags of cookies cost $4
, and sales equaled $40
in total. There were 3 more bags of cookies than candy sold.
Find the number of bags of candy and cookies sold by the football club.
Answer:
Candy=x=2.8 bags
Cookies=3+2.8=5.8 bags
Step-by-step explanation:
Price
Bag of candy=$6.00
Bag of cookies=$4
Total sales=$40
Quantity
Let cookies=y=3+x
Let candy=x
There are 3 more bag of cookies than candy sold
Total sales=price*quantity of x + price*quantity of y
40=$4*(3+x) + 6*x
40=12+4x+6x
40=12+10x
40-12=10x
28=10x
X=28/10
x=2.8 bags
EMERGENCY REALLY NEED HELP only answer this one queastion and i will give brainly and 30 points PLEASE HELP ME JESUS
Answer:
boundary lines are parallel
Step-by-step explanation:
When there are no solutions to a system of equations which consists of two lines, it means the lines are parallel, but have different y intercepts. This happens when the boundary lines are parallel
Answer:
The boundary lines are parallel
Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years?
Answer:
[tex]15516.3163[/tex]
Step-by-step explanation:
[tex]8500\cdot(1.034)^{18}=15516.3163[/tex]
If Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years will be $15,516
Using this formula
Amount=P(1+r)n
Where:
p represent principal=$8,500
r represent rate=3.4% or 0.034
n represent number of years=18 years
Let plug in the formula
Amount=$8,500(1+0.034)∧18
Amount=$8,500(1.034)∧18
Amount=$8,500(1.82544)
Amount=$15,516
Inconclusion if Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years will be $15,516
Learn more here:
https://brainly.com/question/19143786
James has 12.x coconuts. His father asks if he can take 2/3 of all the coconuts. He just received an income of 31 more coconuts. How many coconuts will be eaten?
A. 7.90
B. 69
C. 23
D. 5.98x
Answer:
Option D: 5.98x Coconuts
Which expression is equivalent to the given expression?
(6n-5)(3n-3)?
A.36n11
B.54n30
C. 36n30
D.54n11
Answer:
The answer is C = 36n30
Step-by-step explanation:
What is the approximate circumference of the circle shown below
If we’re doing the same homework, I’d say 129 cm? But I don’t know what the question is without a picture. Sorry!
The function f(x) is shown in this graph please help because I can’t understand this concept
Answer:
d) the slope of f(x) is greater than the slope of g(x)
Step-by-step explanation:
to find the slope of an equation, you look at its rise/run. for f(x), you can see that from one point (0, 3) to another (1, 1) it goes down 2 values (3 - 1) and over 1 value (0 + 1). because it goes down 2 values, the rise is -2, and because it moves to the side 1 value positively, the run is +1.
-2/+1 = -2. this means the slope of f(x) = -2.
finally, it says the slope of g(x) = -6, and -2 > -6. i hope this helps! :)
UGH HELP :(
Use the distributive property to write the expression without parentheses. Then simplify the result, if possible.
5(4x+3)
Answer:
5(4x+3)
5×4x + 5×3
20x+15
What is the product?
(x+3)(2x - 1)
2x²-3
2x²+66
O 2x²+5x-3
2x²+6x-3
A large cheese pizza costs 18 dollars.. Each topping you add on costs $1.50
How much would it cost to get a large cheese pizza with c toppings added?
Write your answer as an expression.
Answer:
1.50c +18
Step-by-step explanation:
The constant price is 18 dollars, which never changes and for every topping you get, it costs $ 1.50. Since we don't know how many extra toppings are added we write 1.50c. This shows that the price will be determined by the number of extra toppings added. If you got no toppings, sub in 0 for c to get $ 18 .
Answer:
1.50c+18
Step-by-step explanation:
The base price of the large cheese pizza is $18. Since we don't know how many extra toppings are added we write 1.50c. This shows that the price will be determined by the number of extra toppings added. Since the question asked for an expression and not an equation, there is no equals sign.
Which situation below would represent a negative rate of change:
John's parents put $40 on his school account for lunch. Each day he pays $3 for
lunch. Let y represent the amount of money John has after x days in his school
account.
Judy is babysitting after school and charges $20 a day. Each day she gets paid, she
puts half of what she earns in a savings account. Let y represent the amount of
money Judy has in her bank account after x days.
Answer: John's situation
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each situation.
John’s situation:
The amount of money that John has (y) is equal to his school account (40) minus the product of the number of days (x) and the amount he spends per day( 3)
y =40-3x
As days pass by, John has less money (negative rate of change)
Judy's situation
The amount of money that Judy has in her savings account (y) is equal to the product of the number of days (x) and the amount he saves per day (20/2)
y = x (20/2)
Which statements are true about exponential decay functions? Check all that apply.
The domain is all real numbers.
As the input increases, the output increases.
The graph is the same as that of an exponential growth function
The base must be less than 1 and greater than 0.
The function has a constant multiplicative rate of change.
Answer: the domain is all real numbers.
The base must be less than 1 and greater than 0.
The function has a consumer multiplicative rate of change.
Step-by-step explanation:
Answer:
A, D, E
Step-by-step explanation:
100% on edg
