[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4570\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=4570\left(1+\frac{0.045}{1}\right)^{1\cdot 5}\implies A=4570(1.045)^5\implies A\approx 5695.05[/tex]
Answer:
The correct answer is D.
Step-by-step explanation:
$5695.05
Which of the following decimal
comparisons is true?
A. 64.699 > 64.999
B. 20.45 = 27.45
C. 36.63 < 36.631
D. 247.008 < 247.006
Answer:
C
Step-by-step explanation:
because you it is greater
five chickes eat 10 bags of scratch in 20days. How long does it take 18 chickens to eat100 bags of scratch
Answer:
You can use logic and proportion here
Step-by-step explanation:
10 bags ---> 20 days
∴ 100 bags ---> 20 days x [tex]\frac{100 bags}{10bags}[/tex]
---> 20 days x 10
----> 200 days
Adam needs four new tires for his car. He has a choice of high performance tires that cost $189 each or economy tires that cost $92 each. How much will he save by buying four economy tires rather than four high performance tires?
$368
$756
$97
$388
$460
Answer:
388
Step-by-step explanation:
You will multiply both 189x4=756 and 92x4=368 and subtract it and you will get 388
.
What is the solution set of an inequality? Use the inequality x > 10 as an example.
Answer:
x can be any number greater than 10, there are infinite solutions.
>, meaning x is greater than 10
The solution set to the inequality equation x > 10 has infinite number of solutions as x can have any value greater than 10
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
x > 10 be equation (1)
So , the value of x is given by set P = { 11 , 12 , 13 , 14 ... }
Therefore , the value of x is any number greater than 10 and the inequality relation has infinite number of solutions
Hence , the inequality equation is x > 10
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The difference of a number k and 10. is greater than 12
Answer:
k-10>12
Step-by-step explanation:
the word difference means subtraction and since k comes first that means you have to subtract 10 from k and greater than means that the greater than or less than sign will face k-10,so you would have the equation k-10>12
A store has fifteen 2 liter bottles of soda on the shelf. How many milliliters of soda does the store have?
Answer:
30,000 milliliters
Step-by-step explanation:
There are 15 2-liter bottles, so you must get the total number of liters by multiplying 15 and 2 to get 30. Then, because there are 1,000 milliliters per liter, you multiply 30 by 1,000 to get 30,000 milliliters total.
At Zach's auto shop each mechanic can change the oil 3 cars per hour. Zach can have up to 4 mechanics working at a time. In a relationship between number of oil changes per hour and number of mechanics working identify the independent variable dependent variable domain and range
Answer:
We know that:
Each mechanic can change the oil of 3 cars per hour.
The number of mechanics can change between 0 and a maximum of 4.
Then we can write the variable:
Y = number of oil changes per hour.
Y = 3*X
Where X is the number of mechanics working.
The independent variable is X (number of mechanics), because is the one that Zach can change, and the dependent is Y (number of oil changes) because this depends on the value of X.
Now, the domain will be: {0, 1, 2, 3, 4}
The possible numbers of mechanics working at the same time.
And for the range we must replace those values in our equation, and see the possible values of Y.
Y(0) = 3*0 = 0
Y(1) = 3*1 = 3
Y(2) = 3*2 = 6
Y(3) = 3*3 = 9
Y(4) = 3*4 = 12
Then the range is: {0, 3, 6, 9, 12}
What is 2 and 3 mix together?
Answer:
if you mean by addition its 5 and if its multiplication then its 6
Step-by-step explanation:
Find the slope between (2, -1) and (2,5) by graphing or solving..
Answer:
Step-by-step explanation:
I think the easiest way would be to plot the points onto a graph. See the attached graph.
If you want to solve it, you can use the slope formula:
[tex]m = \frac{y2-y1}{x2-x1}[/tex]
Where m = slope
From the two points we are given:
(2, -1) -----> x1 = 2 , y1 = -1
(2,5) -----> x2 = 2 , y2 = 5
Plug these values into the slope formula and you get:
[tex]m = \frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{5 - (-1)}{2 - 2}[/tex] = [tex]\frac{5 + 1}{0} = \frac{6}{0}[/tex] = ∞
This means that the slope m = ∞. In other words, there is no slope or gradient because the line is vertical.
I need help with number 9 through 16 The instructions are on the blanks label the difference of two squares as D in the perfect square trinominals as P factor each expression 20 POINTS CORRECT ANSWER GETS BRAINLIEST!!!!!!!!!!!!!!
Answer: Need better instructions Sorry
Step-by-step explanation:
Write this percentage as a fraction in its simplest form.
56
%
Answer:
9/25
Step-by-step explanation:
56% = 56/100
56/100= 18/50
18/50 = 9/25
Answer:
[tex]\frac{14}{25}[/tex]
Step-by-step explanation:
56%
= [tex]\frac{56}{100}[/tex] ← as a fraction ( divide numerator/ denominator by 4 )
= [tex]\frac{14}{25}[/tex] ← in simplest form
Can anyone tell me a step by step of this or how u got the answer
Answer:
Translation Followed by Rotation
Step-by-step explanation:
Figure 1 is Translated to the right, becoming figure 2. Figure 2 is then rotated to become figure 3.
Hope it helped :)
A group of 65 baseball players were surveyed about which hand they favor for batting. The data from the survey are shown in the Venn diagram. Determine the value for each variable in the two-way table. A = b = c = d = e =.
The value of A is 7, the value of B is 31, the value of C is 28, the value of D is 13, and the value of E is 65.
What are Sets?Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as curly bracket {..}. Venn diagrams are a representation of the sets by the diagram.
A group of 65 baseball players was surveyed about which hand they favor for batting. The data from the survey are shown in the Venn diagram.
The table is shown below.
More about the sets link is given below.
https://brainly.com/question/8053622
Answer:
Step-by-step explanation:
A=7 B=31 C=28 D=13 E=65
The cost of laying wood floors consists of a base price of $250, plus $3.50 for each square foot installed. Define the variable
Let s = the base price of laying wood floors
Let s = the cost of each square foot
Let S = each square foot of wood installed
Let s = $250
Answer:
Let s = each square foot of wood installed
Step-by-step explanation:
Total cost of laying wood = base price + price for each square foot installed
Base price = $250
Price for each square foot installed = $3.50
Let
s = number of each square foot installed
Total cost of laying wood = $250 + $3.50s
The correct answer is
Let s = each square foot of wood installed
Shawna has been saving and now has exactly enough money to pay for the pink carpet that she wants in her room. She has $219.70. Each wall in her room has a length of 13 feet. a) How many square feet of carpet will she need? b) What is the cost for each square foot of carpet?
Answer:
169 feet²
$1.30
Step-by-step explanation:
Given that :
Amount Shawna has = exact cost of carpet = $219.70
Length per wall = 13 feets
a) How many square feet of carpet will she need?
Number of square feet of carpet :
13 feets * 13 feets = 169 feet²
B.) Cost of each square foot :
Total cost / number of square feet
$219.70 / 169 feet²
= $1.30
Which relation is a function?
Convert x - 3y = -15 to slope intercept form.
Answer:
y=1/3x+5
Step-by-step explanation:
x-3y=-15
-3y=-x-15
y=(-x)/(-3)-(15)/(-3)
y=1/3x+5
!Choose the correct word for the following definitions:)!
An amount that is part of a whole ?
)A,proportion B,unit rate C,Ratio D,Rate
Answer:A- Proportion
Step-by-step explanation:
There are 5 cakes in a box.
The box and cakes weigh 300 grams altogether.
The box weighs 25 grams.
Each cake weighs the same.
What does each cake weigh? |
grams.
Help!!!
Answer:
35g
Step-by-step explanation:
given,altogether 300g
box weight is 25 gram
know we know that
1 cake weight and box =300/5
1 cake weight =60 gram -25gram
cake weight =35g
Does the input value x = 1 have a real output in the function
f(x) = -√ x - 10 + 11?
Answer:
y = 0
Step-by-step explanation:
-√ x - 10 + 11
-√ 1 - 10 + 11
-1 - 10 + 11
-11 + 11
If x = 1 then y(output) = 0
sorry if it's wrong.
Zack is creating a 5 digit password for his computer. For the first three digits, he chooses different letters of the alphabet.
For the last two digits, he chooses a different number
between 0-9. How many passwords are possible?
Answer:
460
Step-by-step explanation:
The total number of passwords possible is given by the permutation equation A = 26 x 25 x 24 x 10 x 9
What are Permutations?A permutation is an ordered arrangement.
The number of ordered arrangements of r objects taken from n unlike objects is:
Permutation nPr = ( n )! / ( n - r )!
Given data ,
Let the total number of passwords be represented as A
Now , the equation will be
The number of digits in the password = 5 digits
For the first three digits, he chooses different letters of the alphabet
So , total number of digits that are alphabets out of the 26 alphabets = 3
For the last two digits, he chooses a different number
between 0-9
The total number of digits that are numbers out of the 10 numbers = 2
So , the permutation will be
A = 26P3 x 10P2
Substituting the values in the equation , we get
The total number of passwords A = ( 26 )! / ( 26 - 3 )! x ( 10 )! / ( 10 - 2 )!
On simplifying the equation , we get
The total number of passwords A = ( 26 )! / ( 23 )! x ( 10 )! / ( 8 )!
And ,
The total number of passwords A = 26 x 25 x 24 x 10 x 9
Therefore , the value of A is 14,04,000
Hence , the permutation is 26P3 x 10P2
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EASY MATH QUESTION PLEASE HELP:
Step-by-step explanation:
a, b, c are real number
Then,
Always True statements are -
abc = cbaa(b + c) = ab + ac(b - c)a = ab - acAnswer:
ABC are real numbers
Step-by-step explanation:
Module 20 lesson 1 Algebra 1 volume 2
Answer:
7 CA I don't know what you think of the year
How many fluid ounces are in 5 cups
Answer:
40 fluid ounces
Step-by-step explanation:
This year, Ryan watched 55 movies. He thought that 33 of them were very good. Of the movies he watched, what percentage did he think were very good?
PLEASE HELP ASAP!!!! NO LINKS PLEASE!
Answer:
55 MOVIES???!! ok here's the answer: 33 is 60 percent of 55 = 60
Step-by-step explanation:
Graph the line.
x = 3
Explanation: I would do this problem by setting up a chart.
For the equation x = 3, if we set up a chart for x and y,
since x must be equal to 3, the random values we
choose in this problem are not for x, they are for y.
If we had an equation like y = 2x + 3, then we would pick values for x
and plug them into the equation to get y, but here, x is our only value.
So let's choose the values 1, 0, and -1 for y.
For each of these values, x must be equal to 3.
So we have the points (3, 1), (3,0), and (3, -1).
Notice that our graph is a vertical line, as I showed this below.
WILL MARK BRANIEST FOR GOOD ANSWER AND FOR ANSWERING IT RIGHT
Marcus studies two plant cells in biology class. One cell measures 8.0 x 10^-4 centimeter across. The other cell measures 2.0 x 10^-3 centimeter across. Help Marcus find out how many times greater the size of the larger cell is.
His answer and process are both incorrect because he needs to divide 10^-4 by 10^-3 to get 4*10^-1 and the answer is .025 times larger.
Answer:
i hope this helps
cell 1 is 0.0008 and cell 2 is 0.002
Step-by-step explanation:
20 Points and Brainliest for the person who will get it correct which table represents the equation y=9x
Answer:
[C]
Step-by-step explanation:
Since y = 9x
So x need to be a number that will multiply and y = 9
Going through all answer choices
since it y = 9
We can see that [A} and [B] is wrong
Now [C] and [D]
We can see that [D] is wrong because it shows that x = 9 when y = 9
that left us with [C]
[C] shows x = 1 and y = 9
Which is True
1 * 9 = 9
2 * 9 = 18
3 * 9 = 27
Hence, [C] is the correct Answer
~Learn with Lenvy~
Answer:
Chocie A: beacause x does'nt equal y
Need help on these questions ASAP please and thank you ! (:
Help !!!! Its A Math Question . . A regular polygon with n sides has ____ lines of symmetry.
Question options:
10
100
n
0
Answer:
The number of line symmetry in a regular polygon of n sides is 'n'. For example a regular pentagon has 5 line symmetry,Hexagon has 6 line symmetry etc.
Step-by-step explanation: hope this help =)
Answer:
n
Step-by-step explanation:
A regular polygon with n sides has ____ lines of symmetry.
A square has 4 lines of symmetry
A pentagon has 5 lines of symmetry
A n-agon will have n lines of symmetry