The balance owed on your credit card triples from $800 to $2400 in 9 months. If the balance is growing linearly then it would take 34.9 months to reach $7000. If, on the other hand, the balance is growing exponentially, f(x)=800(1+0.13)x where x represents the number of months, what would the balance be after 34.9 months? Round your answer to the nearest cent.
If, on the other hand, the balance is growing exponentially, f(x)=800(1+0.13)x where x represents the number of months, what would the balance be after 34.9 months is: $56,954.45.
ExponentialUsing the given exponential to determine what would the balance be after 34.9 months.
f(x)=800(1+0.13)x
Where:
x=number of months
Hence:
f(x)=800(1+0.13)x
f(x)=800(1+0.13)^34.9
f(x)=800(1.13)^34.9
f(x)=800(71.19306287)
f(x)= $56,954.45
Therefore if, on the other hand, the balance is growing exponentially, f(x)=800(1+0.13)x where x represents the number of months, what would the balance be after 34.9 months is: $56,954.45.
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Use a unit rate to find the unknown value to 10/?=6/3
Answer:
?=5
Step-by-step explanation:
6/3=2
10/2=5
Find the GCF of 9 and 6.
Answer:3
Step-by-step explanation GCF of 6 and 9 is 3.
need help please!!!!!
Answer:
chance of wanted outcome/all possible outcomes
Step-by-step explanation:
Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?
A)[(6 × 1.50) – 2] ÷ 2
B) 6 × 1.50 – 2 ÷ 2
C) 6 × [1.50 – (2 ÷ 2)]
D) 6 × 1.50 – (2 ÷ 2)
Answer:
Answer: (A) [(6 x 1.5) - 2] ÷ 2
Step-by-step explanation:
Find the cost of 6 pounds of apples:
1 pound = $1.50
6 pounds = 6 x 1.5
Price after discount:
Discount = $2
Price after discount = (6 x 1.5) - 2
The cost is shared with her friend:
One person = [(6 x 1.5) - 2] ÷ 2
Answer: (A) [(6 x 1.5) - 2] ÷ 2
Find the next three numbers 1, 0.6, 0.36, 0.216
Answer: The answer is everytime you mutiply in by 0.6
Step-by-step explanation:
In a sample of 14 CEOs, they spent an average of 12.9 hours each week looking into new product opportunities with a standard deviation of 4.9 hours. Find the 95% confidence interval.a. (10.3, 15.5)b. (8.0, 17.8)c. (10.1, 15.7)d. (9.9, 15.9)
Answer:
c. (10.1, 15.7)
Step-by-step explanation:
The calculation of the 95% confidence interval is shown below:
Given that
n = sample = 14
average = [tex]\bar x[/tex] = 12.9
Standard deviation = s = 4.9
Based on the above information
[tex]\alpha = 1 -0.95 = 0.05[/tex]
n - 1 = 14 - 1 = 13
[tex]t_{\alpha}\ value = 2.16[/tex]
Now the 95% confidence interval is
[tex]= \bar x + \pm\ t \times \frac{s}{\sqrt{n} } \\\\= 12.9 \pm 2.16 \times \frac{4.9}{\sqrt{14} } \\\\= 12.9 \pm 2.8287[/tex]
= (10.1, 15.7)
hence, the correct option is c.
The width of a brick is half the length, which is 1 inch less than 4 times the height. If the sum of the three dimensions is 14.25 inches, find the volume of the brick.
Answer:
6inch
Step-by-step explanation:
Read the excerpt from The Crisis, Number I by Thomas Paine.
“I once felt all that kind of anger, which a man ought to feel, against the mean principles that are held by the Tories: a noted one, who kept a tavern at Amboy, was standing at his door, with as pretty a child in his hand, about eight or nine years old, as I ever saw, and after speaking his mind as freely as he thought was prudent, finished with this unfatherly expression, ‘Well! give me peace in my day.’ Not a man lives on the continent but fully believes that a separation must some time or other finally take place, and a generous parent should have said, ‘If there must be trouble, let it be in my day, that my child may have peace;’ and this single reflection, well applied, is sufficient to awaken every man to duty.”
Which is a central idea of this excerpt?
Paine feels that everyone should be able to speak freely, which is why he supports independence.
Paine believes that colonists should fight for independence so their children can live in peace.
Paine believes that some people are selfish and place their needs above others.
Paine felt anger for the first time when he saw an interaction between a Tory and a child.
-12+5x-x=x-7+7
solve linear equation
[tex] \Large{\boxed{\sf x = 4}} [/tex]
[tex] \\ [/tex]
Explanation:Solving this equation means finding the value of 'x' that makes the equality true.
[tex] \\ [/tex]
Given equation:
[tex] \sf -12 + 5x - x = x - 7 + 7 [/tex]
[tex] \\ [/tex]
Combine like terms:
[tex] \sf -12 + (5x - x) = x + (-7 + 7) \\ \\ \sf -12 + 4x = x [/tex]
[tex] \\ [/tex]
Now, we move the variables to the right side of the equation by subtracting 4x from both sides:
[tex] \sf -12 + 4x - 4x = x - 4x \\ \\ \sf -12 = -3x [/tex]
[tex] \\ [/tex]
Finally, divide both sides of the equation by the coefficient of the variable, -3:
[tex] \sf \dfrac{-12}{-3} = \dfrac{-3x}{-3} \\ \\ \\ \boxed{\boxed{\sf x = 4}} [/tex]
[tex] \\ \\ [/tex]
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Last year there were 40 members in the drama club .This year the club has 32 members.By what percentage has the number of members decreased?
F.25%
G.16%
H.20%
J.80%
Answer: 20%
Step-by-step explanation:
32/40
Divide both by 2
16/20
Multiply by 5
80/100
Subtract 80 by 100
Answer: 20
Factor the expression 12-8t
Answer:
factor 4 out of 12-8t
4(3-2t)
Slove each system by graphing
16-+4y+5x=0
-48-12y=-9x
The system of equations 16 + 4 y + 5 x = 0 and - 48 - 12 y = - 9 x will have the solution as x = 0 and y = - 4.
We are given a system of equations as:
16 + 4 y + 5 x = 0 … (1)
- 48 - 12 y = - 9 x
- 16 - 4 y = - 9 x
9 x - 16 = 4 y … (2)
Substitute the equation (2) in the equation (1), we get that:
16 + 9 x - 16 + 5 x = 0
14 x = 0
x = 0
4 y = 9 ( 0 ) - 16
4 y = - 16
y = - 16 / 4
y = - 4
Therefore, we get that, the system of equations 16 + 4 y + 5 x = 0 and - 48 - 12 y = - 9 x will have the solution as x = 0 and y = - 4.
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plz help me with this??!
Step-by-step explanation:
–5/6 + 7/5 = –25/30 + 42/30
= 17/30
No work needed to show just answer
Answer:
1.62 × 10⁸
hope it helps!
The total amount of money (in cents) in x dimes, (x+2) nickels, and 2x quarters. The total amount of money is ____ cents. (Hint: value of a dime is 10 cents, nickel is 5 cents, and a quarter is 25 cents.)
The total amount of money is 65x + 10 cents.
Sum of coinsGiven the following coins value
x dimes, (x+2) nickels, and 2x quarters
If value of a dime is 10 cents, nickel is 5 cents, and a quarter is 25 cent, the the total coin is cent is expressed as 10x + 5(x + 2) + 25(2x)
Total in cents. = 10x + 5(x + 2) + 25(2x)
Total in cents = 10x + 5x + 10 + 50x
Simplify
Total in cents = 65x + 10
Hence the total amount of money is 65x + 10 cents.
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Evaluate: 2/3 + 5/8 + 1/4
Answer: 1.54166666667 Hope that helped
PLS HURRY!!!
Solve the equation. What is the value of x
1/3 (x + 1) + 2x=2
Answer:
Decimal: -0.5
Fraction: - 1/2
Step-by-step explanation:
What are the coordinates of the origin?
(1,1)
(0,0)
(-1,1)
(1,-1)
Answer:
(0,0)
Step-by-step explanation:
Answer:
0,0 because that’s were it starts at
Step-by-step explanation:
Can i get brainiest think
Tell whether z = 64 is a solution of z: 8=8.
Yes Or no
Answer:
Yes
Step-by-step explanation:
I think so...idk
8×8=64 thats why I said yes
0/12
Correct
Mark is investing his money. He thinks that he should make $11 for every $100 he invests. How much does he expect to make on an investment of $3300?
Money Mark makes for $3300, he invested = $363
The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
It's given that Mark is investing his money. He thinks that he should make $11 for every $100 he invests.
Now by using the basic unitary method we can solve the problem as :
Money Mark makes for every $100 he makes = $11
Money Mark makes for every $1 he invested = $ 11 / 100 = $0.11
Money Mark makes for $3300 he invested = 0.11 x 3300 = $363
Therefore, money Mark makes for $3300, he invested = $363
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Simplify: -6x - x please
Answer:
-7x
Step-by-step explanation:
-6x - x =
-7x
ILL GIVE BRAINLIST HELP ASPA
the 3 D'E=3DE i think that is the correct answer
655.4+?
= 65.54
I need help with this equation can you help me understand this?
Answer:−589.86
Step-by-step explanation:
let unknown number be x
Solve for x
655.4+x=65.54
Subtract 655.4 from both sides.
x=65.54−655.4
Subtract 655.4 from 65.54 to get −589.86.
x=−589.86
A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let ^ p denote the proportion in the sample who say they support the increase. Suppose that 13% of all adults in Ohio support the increase. The standard deviation of the sampling distribution is
Answer:
The standard deviation of the sampling distribution is [tex]\sigma =0.0087[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 1500
The population proportion is [tex]p = 0.013[/tex]
Generally the standard deviation of this sampling distribution is mathematically represented as
[tex]\sigma = \sqrt{ \frac{p (1- p)}{ n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.13(1-0.13)}{1500} }[/tex]
=> [tex]\sigma =0.0087[/tex]
The standard deviation of the considered sampling distribution of the proportion supporting the increase is 0.0027 approx.
How to find the sample standard deviation for distribution of a sample proportion?Suppose the sample proportion be denoted by [tex]\hat{p}[/tex], then, its distribution is normally distributed with mean [tex]p[/tex] and the standard deviation of distribution of [tex]\hat{p}[/tex] is given by
[tex]\sigma = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
where n is the sample size. It is true until [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]
For the given case, we're given that:
Sample size= n = 10Proportion average value = p = 13% = 0.13 Standard deviation = [tex]\sigma = \sqrt{\dfrac{0.13(1-0.13)}{1500}} = \sqrt{\dfrac{0.13 \times 0.87}{1500}} \approx 0.0027[/tex]Thus, standard deviation of the sampling distribution is approximately 0.0027
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answer quick please I dont really get this
Answer:
f(9) = 24
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 4(x - 3)
f(9) is x = 9
Step 2: Evaluate
Substitute in x: f(9) = 4(9 - 3)Subtract: f(9) = 4(6)Multiply: f(9) = 24Help! Giving brainliest please show your work
Answer:
1) 13/20
2) 100
3) 2^6
A flagpole casts a shadow that is 30 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 60 inches long. How tall is the flagpole to the nearest foot?
Answer:
5 feet and 60 inch
Step-by-step explanation:
5 feet and 60 inches
Step-by-step explanation:
Which of the following is a universal quantifier?
A)At least one
B)few
C)some
D)all
Answer:
c
Step-by-step explanation:
the answer is c) somae
Based on the mortality table below, what is the probability that a 23-year-old
will be alive in 1 year?
Answer:
99.897%
Step-by-step explanation:
Answer: 99.87%
Step-by-step explanation:
Can somebody answer this?
Answer:
-4x/-2y
Step-by-step explanation:
16x - y - 4x + 1
---------------------
16x - y - 2y - 1
= - 4x/- 2y
Hope this helped!