The function f(x) = 800(1.09)3x shows the growth due to interest that Jim earns on an investment. The steps to calculate an equivalent function are shown below: [Step 1] f(x) = 800(1.09)3x
[Step 2] f(x) = 800(1.093)x
[Step 3] f(x) = 800(1.09 ⋅ 3)x
[Step 4] f(x) = 800(3.27)x Which of the following is the first incorrect step?
A. There is no mistake in the work.
B. Step 1
C. Step 2
D. Step 3
E. Step 4
Answer:
the answer is Step 3
Step-by-step explanation:
i took the test
What is the value of x?
the sum of the interior angles equal 720
112 + 133 +128 +100 + 120 = 593
720 - 593 = 127
x = 127 degrees
35 points in a game if the team scored 21 points the first half the fraction of the total scored in the second half was
35 -21 = 14
14/35 reduces to 2/5
Use a calculator to round the nearest hundredth
Find a cubic function with the given zeros. Square root of five., - Square root of five., -7
At the movie theatre, child admission is $5.50 and adult admission is $9.40 . On Monday, four times as many adult tickets as child tickets were sold, for a total sales of $1379.20 . How many child tickets were sold that day?
Find the simple interest on a $2,219 principal, deposited for six years at a rate of 5.11%
While in europe, if you drive 113 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per liter and your car's gas mileage is 41.0 mi/gal ? assume that 1euro=1.26dollars?
Answer:
[tex]\$63.04[/tex]
Step-by-step explanation:
Distance traveled in [tex]1[/tex] day = [tex]113 km[/tex]
Distance traveled in [tex]1[/tex] week = [tex]113*7 = 791 km[/tex]
Mileage of car = [tex]41.0 mi/gal = \frac{41*1.60}{3.78} = 17.35 km/liter[/tex]
Total gas consumed = [tex]\frac{791}{17.35} = 45.49liter[/tex]
Cost of [tex]1liter[/tex] gas = [tex]1.10 euros = 1.10*1.26 = \$1.386[/tex]
Money spent on gas in a week = [tex]45.49*1.386 = \$63.04[/tex]
Janice deposited $750 in a savings account that earns 3.5% simple interest. How much interest has Janice earned by the end of the first year?
A.$776.25
B.$214.29
C.$2,625.00
D.$26.25
Can someone please help me with this problem?
Let f(x)=(x-2)^3+8.
Show that this function is one-to-one algebraically.
I've been stuck on this problem for quite some time now. I'm not asking for answers just a little explanation on what I need to do to solve it.
Need help with problem number 10
Whats The Number name for 43,080,700
a machine manufactures wheels with a diameter of 70cm.It is acceptable for the diameter of a wheel to be withen 0.02 cm of this value .write and sopve an absolute value equation to find the minimum acceptable diameters
When invested at an annual rate of 5%, an amount earned Php 15,000.00 of simple interest in 2 years. How much money was initially invested?
Identify the property that is demonstrated below:
ab = ba
a. commutative property of addition
b.commutative property of multiplication
c. identity property of multiplication
d.associative property of multiplication
Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.
Can any of the roots have multiplicity?
How can you find a function that has these roots?
Answer:
The roots cannot have multiplicity because the function is specified as cubic and 3 roots are given.
To find the function, write f(x) = (x – 2)(x – 3)(x – 5), and simplify the right side.
Best buy shoes had a back to school special. The total bill for four pairs of shoes came to $69.24 ( before tax ) What was the average price for each pair of shoes?
QUESTION 2 If you only purchased 1 pair of shoes at Best Buy Shoes instead of the four described in problem 20, how much would you have paid, based on the average price?
Answer: a) $17.31, b) $17.31.
Step-by-step explanation:
Since we have given that
Total bill for four pairs of shoes = $69.24
Number of pairs of shoes = 4
We need to find the average price for each pair of shoes .
So, Average price would be
[tex]\dfrac{\text{Total amount}}{\text{Number of pairs of shoes}}\\\\=\dfrac{69.24}{4}\\\\=\$17.31[/tex]
If he purchased only 1 pair of shoes, the amount he has to pay based on average price would be $17.31.
Hence, a) $17.31, b) $17.31.
Final answer:
The average price for each pair of shoes from the total bill of $69.24 is $17.31. If only one pair of shoes was purchased, it would also cost $17.31.
Explanation:
To find the average price for each pair of shoes in the first question, you divide the total bill by the number of pairs of shoes. In this case, the total bill is $69.24 for four pairs of shoes.
Step-by-step calculation:
Divide the total cost ($69.24) by the number of pairs (4).
The calculation will be $69.24 / 4 = $17.31.
The average price for each pair of shoes is $17.31.
For the second question, if you were to purchase only one pair of shoes, the cost would be equal to this average price, which is $17.31.
For about 10 years after the french revolution, the french government attempted to base measures of time on multiples of ten: one week consisted of 10 days, one day consisted of 10 hours, one hour consisted of 100 minutes, and one minute consisted of 100 seconds. what are the ratios of (a) the french decimal week to the standard week and (b) the french decimal second to the standard second? assume that the definition of a "day" remains the same.
Explanation of the ratios of French decimal time to standard time after the French Revolution.
Explanation:Ratio of French Decimal Week to Standard Week:
1 French decimal week = 10 days, whereas 1 standard week = 7 days. So, the ratio is 10/7.
Ratio of French Decimal Second to Standard Second:
1 French decimal second = 0.01 standard second since 1 hour = 100 French decimal minutes = 100 x 0.01 = 1 standard hour.
(a) The ratio of the French decimal week to the standard week is [tex]\( \frac{10}{7} \)[/tex].
(b) The ratio of the French decimal second to the standard second is [tex]\( \frac{5}{3} \)[/tex].
To find the ratios of the French decimal week to the standard week and the French decimal second to the standard second, we'll compare the durations of these units in the French decimal system to those in the standard system.
(a) Ratio of the French decimal week to the standard week:
In the French decimal system:
- One French decimal week consists of 10 days.
In the standard system:
- One standard week consists of 7 days.
So, the ratio of the French decimal week to the standard week is:
[tex]\[ \text{Ratio} = \frac{\text{French decimal week}}{\text{Standard week}} = \frac{10 \text{ days}}{7 \text{ days}} \][/tex]
(b) Ratio of the French decimal second to the standard second:
In the French decimal system:
- One minute consists of 100 seconds.
In the standard system:
- One minute consists of 60 seconds.
So, the ratio of the French decimal second to the standard second is:
[tex]\[ \text{Ratio} = \frac{\text{French decimal second}}{\text{Standard second}} = \frac{100 \text{ seconds}}{60 \text{ seconds}} \][/tex]
Now, let's simplify these ratios:
(a) Ratio of the French decimal week to the standard week:
[tex]\[ \frac{10}{7} \][/tex]
(b) Ratio of the French decimal second to the standard second:
[tex]\[ \frac{100}{60} = \frac{5}{3} \][/tex]
So, the ratios are:
(a) for the French decimal week to the standard week.
(b) [tex]\( \frac{5}{3} \)[/tex] for the French decimal second to the standard second.
A cheetah ran 300 feet in 2.92 seconds. What was the cheetah’s average speed in miles per hour? Show your work.
60 seconds per minute, 60 minutes per hour
60*60 = 3600 seconds per hour
5280 feet per mile
300/5280 = 0.0568 of a mile
2.92/3600 = 0.000811 of an hour
0.0568 / 0.000811 = 70.028 miles per hour
round to 70 miles per hour
Which of the following phrases would represent this expression?
the quotient of x and 3
the quotient of 3 and x
the product of 3 and x
the difference of x and 3
Answer:
The quotient of x and 3 is the answer i hope it works
What is the value of x ?
Idk how to do this please help me
What is the measure of angle S?
132 + 56 + 79 = 267
360 - 267 = 93
answer is 93 degrees
What is the intersection of the sets A = {2, 3, 5, 7, 11} and B = {5, 11, 13, 15, 17}?
The intersection of sets is composed of the common elements.
The given sets have two common elements: 2 and 5.
{2;3;5;7}∩{2;5;11;13}={2;5}
Answer:
A ∩ B = {5, 11}
Step-by-step explanation:
Hello, the intersection of two sets A and B (A B), is the set that contains all elements of A that also belong to B , I mean , the common elements
Step 1
Let
A = {2, 3, 5, 7, 11}
B = {5, 11, 13, 15, 17}
you have to verify the common elements, first order the data from least to greatest to make it easier, here they are already sorted
A ∩ B = {5, 11}
Have a great day
What is the sum of the polynomials
Answer:
B its 100% this one i promise
Step-by-step explanation:
The sum of the polynomials (17m - 12n - 1) and (4 - 13m - 12n) will be
⇒ 4m - 24n + 3
Option B is true.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The polynomials are,
⇒ (17m - 12n - 1) and (4 - 13m - 12n)
Now, Sum of the polynomial is find as;
The polynomials are,
⇒ (17m - 12n - 1) and (4 - 13m - 12n)
It can be written as;
The polynomials are,
⇒ 17m - 12n - 1
- 13m - 12n + 4
---------------------------
4m - 24n + 3
---------------------------
Thus, (17m - 12n - 1) + (4 - 13m - 12n) = 4m - 24n + 3
Therefore, The sum of the polynomials (17m - 12n - 1) and (4 - 13m - 12n) will be
⇒ 4m - 24n + 3
Option B is true.
Learn more about the polynomial visit:
https://brainly.com/question/26147255
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I need help please I’m lost
please answer both questions thank you.
This is what I've done so far but does anyone know what I do next or did I make a mistake
Jason's age is 1/2 of his brother's age. His brother's age can be represented by the expression 12a - 9. Write an expression that can be used to represent the sum of their ages.
A) 12a - 5.5
B) 18a - 13.5
C) 18a + 21
D) (12a-9)/2
Answer:
the answer is B)18a-13.5
Step-by-step explanation:
What is the common term for the set of all points with x- coordinate zero?
A. X axis
B. Y axis
C. Coordinate plane
D. Origin
Answer:
Option B is the correct answer.
Step-by-step explanation:
We have X axis, Y axis and origin in coordinate plane.
Origin is the point for which both x and y coordinate is zero.
X axis is the set of all points with y- coordinate zero.
Y axis is the set of all points with x- coordinate zero.
Here we are asked to find the common term for the set of all points with x- coordinate zero.
That is Y axis
Option B is the correct answer.