The deposited amount in the bank is $100
The simple interest per year on the account is 5%
Every year the account holder will earn 5% of the deposit
In this case, the account holder will earn 5% of 100$ every year
So in the first year interest earned would be= 100× 5/100
= $5
Interest earned in first year= $5
Since the deposit amount is constant and interest is 5%
Interest earned in 8 years= 5×8
= $40
Interest earned after 8 years = $40
Balance after 8 years would be= Initial balance + Interest earned
= 100+ 40
=140
The balance in the account after 8 years is $140
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Cell phone company A charges $40 a month, with 500 free minutes and $0.10 a minute after that. Cell phone company B charges $25 a month and all minutes cost $0.05.
this is my 6th grade math reveiw
Answer:
answer is 189.43
Step-by-step explanation:
Answer: 180.6 cm2
Step-by-step explanation:
B = base = 7 cm
S = slant height = 9.4 cm
Formula: Surface area = b(*powered) + 2bs
Step by step:
7(7) + 2(7)(9.4) =
49 + 2(65.8) =
49 + 131.6 =
180.6 cm2
Steve just started a new job where he is paid weekly. Which of the following equations could be used to determine the amount of Steve's first paycheck if 18% is deducted for taxes? (Let x represent the amount he earns the first week and y represent the amount of his first paycheck after taxes.) A. y = 0.82x B. y = 1.18x C. y = x - 0.18 D. y = x + 0.18
Answer:A
Step-by-step explanation:100-18=82 in percentages convert that to fractions and you have 0.82 x whatever he earned at first (x) becauss we are dealing with percentages here
Find the horizontal distance between points Y(1,−3/4) and Z(−1,−3/4) .
Answer:
C.Subtract x- vlaues 8-3=5 units
Step-by-step explanation:
Solve for u. -9–4u=-u
Answer:
u = -3
Step-by-step explanation:
-9 - 4u = -u
+4 = +4
Add 4u to both sides.
-9 = 3u
Divide both sides by 3
-9/3 = 3/3
-3 = u
Answer: The variable u is equal to -3 for this equation.
Step-by-step explanation:
To solve this variable equation, you will need to follow these steps:
Rewrite the equation, moving 9 to the other side, adding it on both sides, and simplify
-4u = -u + 9
After that, move u to the other side of the equation, also adding it on both sides and simplify
-3u = 9
Then divide both sides by -3, simplify it one last time and you will get your answer!
-3
Therefore, the answer to this equation would be equal to negative three or -3. Hope this helps!
Makayla bought stock in a company two years ago that was worth x dollars. During the first year that she owned the stock, it increased by 12%. During the second year, the value of the stock decreased by 7%. Write an expression in terms of x that represent the value of the stock after the two years have passed.
Makayla bought stock in a company two years ago that was worth x dollars. During the first year that she owned the stock, it increased by 12%. During the second year, the value of the stock decreased by 7%. The value of the stock in terms of x after two years have passed is 1.0416x dollars.
Value of stock = x dollars
During 1st year, increase in stock = 12%
Therefore, the value of stock becomes = [tex]\frac{12}{100}[/tex] × (x) + x
= 0.12x + x = 1.12x
During 2nd year, decrease in stock = 7%
Therefore, the value of stock becomes = 1.12x - [tex]\frac{7}{100}[/tex] ×1.12x
= 1.12x - 0.0784x = 1.0416x
So, the value of the stock in terms of x after two years have passed is 1.0416x dollars.
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help im timed is it a b c d
Answer:
Since ABC and DEF are congruent, they have the same measures so DE and AB are equal. This gives you the answer of A) 16 cm.
I hope this helps, have a great day! :)
PART A AND PART B QUESTION PLEASE ANSWER GOOD WORTH LOTS OF BRAINLY POINTS (7TH GRADE MATH)
Answer:
c and a
Step-by-step explanation:
A theater company has raised $810.75 by selling 15 floor seat tickets. Each ticket costs the same.
Part A: Write an equation with a variable that can be solved to correctly find the price of each ticket. Explain how you created this equation. (5 points)
Part B: Solve your equation in Part A to find the price of each floor seat ticket. How do you know your solution is correct? (5 points)
Part A: 15x= $810.75. Part B: x= $54.05
The total money earned from 15 tickets is $810.75.
Assume, the money earned from selling 1 ticket is $x.
Therefore, the money earned from selling 15 tickets= 15*x= 15x= $810.75
Here, the variable, i.e. the changing value, is x which is the price of each ticket. The equation hence derived is 15x= $810.75.
Using the equation above,
15x= $810.75.
Dividing both sides by 15,
We get,
x= $54.05
Hence, $54.05 is the price of each ticket.
To learn more about linear equations with single variable:
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Write each expression without the absolute value symbol.
Answer:
Step-by-step explanation:
The expression without the absolute value symbol is:
|x - 8| = x - 8, if x > 8
|x - 8| = 0, if x = 8
|x - 8| = 8 - x, if x < 8
How to solveFrom the given parameters
We have,
|(x - 19) + 11|
This can be written as,
= |x - 19 + 11|
= |x - 8|
Now,
|x - 8| = x - 8, if x > 8
|x - 8| = 0, if x = 8
|x - 8| = 8 - x, if x < 8
Thus,
The expression without the absolute value symbol is:
|x - 8| = x - 8, if x > 8
|x - 8| = 0, if x = 8
|x - 8| = 8 - x, if x < 8
Read more about absolute value here:
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Find the area of the figure below
Answer: x∛⇄t¬∝∠∧
Step-by-step explanation:
Answer:
Step-by-step explanation:
17 times 9= 153 and 15 times 3=45 so the awnset is 198
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I’m timed!!!!!!!!!!!!! Literally!!!!!!!!!!!!!! Please help!!!!!!!!!!!!!!!!! (The thing wont let me do it in caps, that’s why so many ‘!’ Are there.) 16 Points!!!!!!
Which graph shows the result of dilating this figure by a factor of One-third about the origin?
A. On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6).
B. On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2).
C. On a coordinate plane, triangle A prime B prime C prime has points (negative 3, 3), (3, 3), (3, negative 3).
D. On a coordinate plane, triangle A prime B prime C prime has points (Negative 18, 18), (18, 18), (18, negative 18).
E. On a coordinate plane, triangle A prime B prime C prime has points (negative 12, 12), (12, 12), (12, negative 12).
Answer is A!
Hope this helps :)
Find the area of the shaded region.
Answer:
are means to multiply and perimeter means to add so you multiply the numbers outs the polygon
Step-by-step explanation:
please explain with the answer
Answer:
First box (Top left): y + x = 4
Second box (Top right): y = x + 4
Third box (Bottom): y = (1/4)x
Step-by-step explanation: For the first box on the top left, the line is shown going down which means as x increases, y decreases resulting in a negative slope. Since the equation of a line has the form y = mx + b where m represents the slope, m would be a negative number for a negative slope. By rearranging the equations above, we can write y + x = 4 as y = -x + 4 after subtracting both sides by -x to make it look like the form y = mx + b. Since this is the only equation with a negative slope and the y-intercept (where the line intercepts the y-axis) represented as b is 4 as shown in the graph and the equation, the equation for this line is y + x = 4.
For the second box on the top right, the line is shown going up which means as x increases, y increases resulting in a positive slope. Since the slope is now positive, the m, in the same form, y = mx + b, would be a positive number. The y-intercept or b is also still 4 as shown in the graph as the line intersects the y-axis so by looking at the options above, the equation for this line is y = x + 4.
For the third box on the bottom, the line is shown with a less steep slope going up meaning as x increases, y increases with a lower slope. Since the slope will still be positive but lower than the previous line with a y-intercept of 0 as shown in the graph, the equation for this line is y = (1/4)x.
Please help with this its a part A and part B question worth all my points
Function related btw
Answer:
Part A is c
Step-by-step explanation:
A function is a graph thag passes the vertical line test ,meaning it touches the vertical line only once so in order for that happen a point must have one x value (input) and one y value (output)
whice model represent cutting 40% of the ribbion
Answer: Model B
Step-by-step explanation: Model B, shows the cutting of 40% of the ribbon since, if you divide it into 10 parts, with each piece representing 10%, if you take away 4 of those parts, which is equal to 40%. So it is Model B.
need help this is my last attempt on my assignment before it gets auto re-assigned.
Answer:
median is 25, max value is 24, but check IQR and range
Answer:
Option 1
Option 2
Option 4
Only incorrect answer is that of Option 3
Step-by-step explanation:
This is slightly tricky because the value of the first quartile and that of the third quartile have to be estimated roughly since more accurate units on the scale are not provided. One can only say that Q1 lies between 10 and 15, Q3 lies between 35 and 40
I estimate Q3 as 38 and Q1 as 12(I could be off base here) which gives the Inter Quartile Range IQR = Q3 - Q! = 38 - 12 =26
If your previous attempts have indicated this answer as incorrect you should not choose it. However IQR is close to 26 so that is my best estimate and I would state Option 1 as correct
Option 2 is correct - you can see that the last vertical line which is the end of the right whisker is at 44
Option 3 is wrong - The maximum value is 44, minimum value is positive at about 2 (tail of left whisker so range cannot be 50. Estimate is 44- 2 = 42
Option 4 is correct:
The median marks the mid-point of the data and is shown by the line that divides the box into two parts (sometimes known as the second quartile). Half the scores are greater than or equal to this value, and half are less.
This line is at 25 so the median is 25
I hope that was useful and you get it correct.
Three softball players discussed their batting averages after a game.
Probability
Player 1 seven elevenths
Player 2 six ninths
Player 3 five sevenths
Compare the probabilities and interpret the likelihood. Which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3)
Player 1 is more likely to hit the ball than Player 3 because P(Player 1) > P(Player 3)
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)
To compare the probabilities of hitting the ball, we need to find the decimal equivalent of each fraction.
Player 1: 7/11 = 0.636
Player 2: 6/9 = 0.667
Player 3: 5/7 = 0.714
Comparing the probabilities, we can see that Player 3 has the highest probability of hitting the ball, followed by Player 2 and then Player 1. So the correct statement is:
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2), and Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1).
It's important to note that the probabilities don't guarantee that a player will hit the ball every time they're at bat. They simply indicate the likelihood of hitting the ball based on their past performance.
Please help i'm so confused
Answer:1/8
Step-by-step explanation:
Please help! -Screenshot-
Answer:
c
Step-by-step explanation:
so you add 12-12-43 and get 120 so ya
Answer: It's D!!
Step-by-step explanation: 1 is more than -2:)
Solve the congruence 5x ≡ 6 (mod7).
______, m is any integer
Answer:
Step-by-step explanation:
To solve the congruence 5x ≡ 6 (mod 7), we need to find a value for x that satisfies the equation.
First, we'll find the multiplicative inverse of 5 modulo 7. The multiplicative inverse of a modulo m is a number x such that ax ≡ 1 (mod m). In this case, we need to find a number x such that 5x ≡ 1 (mod 7).
To find the multiplicative inverse, we can try different values of x and compute the result until we find one that satisfies the equation. Alternatively, we can use a more efficient method like the Extended Euclidean Algorithm.
Using the Extended Euclidean Algorithm, we find that the multiplicative inverse of 5 modulo 7 is 3, as 5 * 3 ≡ 1 (mod 7).
Now, we can multiply both sides of the congruence by the multiplicative inverse (3) to isolate x:
5x ≡ 6 (mod 7)
3 * 5x ≡ 3 * 6 (mod 7)
15x ≡ 18 (mod 7)
Reducing the coefficients:
1 * x ≡ 4 (mod 7)
Since x ≡ 4 (mod 7), the solution to the congruence 5x ≡ 6 (mod 7) is x ≡ 4 (mod 7). This means that x can be written as x = 4 + 7k, where k is any integer.
PART A AND PART B QUESTION (7TH GRADE MATH)
Answer:
D
D
Step-by-step explanation:
i might be wrong tho
I don't know why kathy is like this
A rectangular building has an area of 1,110 square meters and a perimeter of 134 meters. What are the dimensions of the building?
Answer:
The dimensions of the rectangular building are 30 meters by 37 meters.
Answer:
30 by 37 meters
Step-by-step explanation:
Refer to the attached image to understand where the following formulas came from.
[tex]\text{Area,} \ A=1110 \ m^2\\\\\text{Perimeter,} \ P=134 \ m[/tex]
We have a system of equations
[tex]\Longrightarrow \left \{ {{xy=1110} \atop {2x+2y=134}} \right.\\\\\text{Taking equation 2} \rightarrow 2x+2y=134\\\\\Longrightarrow 2x=134-2y\\\\\Longrightarrow x=67-y \\\\\text{Now taking equation 1} \rightarrow xy=1110\\\\ \Longrightarrow (67-y)y=1110\\\\ \Longrightarrow 67y-y^2=1110\\\\ \Longrightarrow y^2-67y+1110=0\\\\\Longrightarrow (y-37)(x-30)=0\\\\\Longrightarrow \boxed{y=37 \ m \ or \ 30 \ m }[/tex]
When y=37:
[tex]x(37)=1110\\\\\Longrightarrow \boxed{x=30}[/tex]
When y=30:
[tex]x(30)=1110\\\\\Longrightarrow \boxed{x=37}[/tex]
So, the dimensions of the building are 30 by 37 meters.
