Answer:
Luis's balance = $25,283.33
Step-by-step explanation:
Given the following data;
Principal = $25,000Interest rate, R = 1.7 %Time = 8 monthsTo find how much money Luis will have;
First of all, we would have to convert the value of time in months to a year.
Conversion:
12 months = 1 year
8 months = X year
Cross-multiplying, we have;
12 * X = 8
X = 8/12
X = 2/3 years
To find the simple interest, we would use the formula;
[tex] S.I = \frac {PRT}{100} [/tex]
Where;
S.I is the simple interest.P is the principal.R is the interest rate.T is the time measured in years.Substituting the values into the formula, we have;
[tex] S.I = \frac {25,000 * 1.7 * \frac {2}{3}}{100} [/tex]
[tex] S.I = \frac {28333.33}{100} [/tex]
S.I = $283.33
Luis's balance = S.I + Principal
Luis's balance = 283.33 + 25000
Luis's balance = $25,283.33
Help me with number 32 please
Answer:
cant give you a answer but theres this app called gauth math try that its really helpful
Step-by-step explanation:
The volume of a room is 640 cubic feet. If the length is 10 feet and the width is 4 feet, find the height
Answer:
16
Step-by-step explanation:
Divide 640 by 40.
[tex]640 = x \times 10 \times 4[/tex]
[tex]640 = 40x[/tex]
Divide both sides by 40
[tex] \frac{640}{40} = \frac{40x}{40} \\ [/tex]
[tex]x = 16[/tex]
Thus the height would be 16 feet .
Divide the fractions and reduce to lowest terms: 2/5÷3/12
Answer:
8/5
Step-by-step explanation:
You can rewrite the equation to 2/5 * 12/3
Which is equal to 2/5*4
So 2 times 4 is 8
So the answer is 8/5
Hope this helps!
Which ordered pairs make both inequalities true? Select two options.
y < 5x + 2
y ≥ 1/2x + 1
A. (-1,3)
B. (0,2)
C. (1,2)
D. (2,-1)
E. (2,2)
B. (0,2) and E (2,2) are the ordered pairings that allow both inequalities to hold.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
We can check which ordered pairs satisfy both inequalities by substituting the x and y values into each inequality and checking if they are both true.
Let's check each option:
A. (-1,3)
The first inequality gives us 3 < 5(-1) + 2, which simplifies to 3 < -3. This is false, so (-1,3) does not satisfy the first inequality.
The second inequality gives us 3 ≥ 1/2(-1) + 1, which simplifies to 3 ≥ 1/2. This is true, so (-1,3) satisfies the second inequality.
B. (0,2)
The first inequality gives us 2 < 5(0) + 2, which simplifies to 2 < 2. This is false, so (0,2) does not satisfy the first inequality.
The second inequality gives us 2 ≥ 1/2(0) + 1, which simplifies to 2 ≥ 1. This is true, so (0,2) satisfies the second inequality.
C. (1,2)
The first inequality gives us 2 < 5(1) + 2, which simplifies to 2 < 7. This is true, so (1,2) satisfies the first inequality.
The second inequality gives us 2 ≥ 1/2(1) + 1, which simplifies to 2 ≥ 3/2. This is true, so (1,2) satisfies the second inequality.
D. (2,-1)
The first inequality gives us -1 < 5(2) + 2, which simplifies to -1 < 12. This is true, so (2,-1) satisfies the first inequality.
The second inequality gives us -1 ≥ 1/2(2) + 1, which simplifies to -1 ≥ 2. This is false, so (2,-1) does not satisfy the second inequality.
E. (2,2)
The first inequality gives us 2 < 5(2) + 2, which simplifies to 2 < 12. This is true, so (2,2) satisfies the first inequality.
The second inequality gives us 2 ≥ 1/2(2) + 1, which simplifies to 2 ≥ 2. This is true, so (2,2) satisfies the second inequality.
Therefore, the ordered pairs that make both inequalities true are B. (0,2) and E. (2,2).
Learn more about inequalities here:
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What has a slope of -1/2 and an x intercept of -8
Answer:
y=(-1/2)(x)-8
Step-by-step explanation:
Since they give the slope and y intercept, you can literally plug it into the equation:
y=mx+b
where m is slope and b is y interecept.
Therefore, we get
y=(-1/2)(x)-8
a) Complete the table of values for x + y = 6
Х
-2
-1
0
1
2
3
y
Answer:
8 , 7 , 6 , 5 , 4 , 3
Step-by-step explanation:
Insert your x into the equation, then simplify for y.
Evaluate the expression
-11^3
The value of the expression is
Answer: - 1331
Step-by-step explanation:
(-11)(-11)(-11)
(121)(-11)
- 1331
The ratio of shoes sold to sandals sold was 9:5. If there were 72 shoes sold, how many
sandals were sold?
Answer:
40
Step-by-step explanation:
9x8 = 72
5x8 = 40
72:40 = 9:5
Hope that helps
Describe the correlation of the following data:
strong, positive
strong, negative
weak, positive
weak, negative
Answer:
Weak and positive
Step-by-step explanation:
I just said it
The correlation of the data provided is Weak and the positive option (C) is correct.
What is a regression line?A regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.
We have a scatter plot shown in the picture.
As we can see in the dot plot the dots are scattered so much so there will be a very weak correlation between the variables.
As we know, the correlation is the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
The formula for the regression coefficient:
[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]
Drawing a line of best fit, we will see the correlation is Weak and positive.
Thus, the correlation of the data provided is Weak and the positive option (C) is correct.
Learn more about the regression line here:
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Please help meee urgent
Step-by-step explanation:1
Answer:
6
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 3, 4 ]
f(b) = f(4) = 9 ← value of f(x) when x = 4 , from table
f(a) = f(3) = 3 ← value of f(x) when x = 3 , from table
average rate of change = [tex]\frac{9-3}{4-3}[/tex] = [tex]\frac{6}{1}[/tex] = 6
What function equation is represented by the graph?
Answer:
f(x) = (2/3)x-2
Step-by-step explanation:
Pick any two points and calculate the slope. I chose: (-3,-4) and (3,0). The Rise/Run, or slope, is (0-(-4))/(3-(-3) or 4/6: 2/3
The y-intercept of the graph is -2 ( the value of y when x=0).
Given y = mx + b
we have
y = (2/3)x - 2
Option 3
9. Which of the following is an example of the Commutative Property of Addition? (1 point)
O 12 + 4 = 4 + 12
O 12 + (3 + 2) = (12 + 3) + 2
O 2 + 7 + 0 = 2 +7
O 17+ (-17) = 0
V
10. If p = 8, evaluate 42+p:3. (1 point)
02.
03
06
08
Finish
Cancel
Answer:
9. the first one ( 12 + 4 = 4 + 12 )
Step-by-step explanation:
the commutative property of addition means that you can change the order of the numbers you add and the sum will still be the same. this is shown in the 12 + 4 = 4 + 12 because the order is switched, but they are still equal.
The example of the commutative property of addition is 12 + 4 = 4 + 12, the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The four options
Now,
The commutative property of addition states that changing the order of the addends does not change the sum.
This is the only option that shows the same sum with different orders of addends.
Therefore, by algebra the answer will be 12 + 4 = 4 + 12.
More about the Algebra link is given below.
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5. What are the slope and y-intercept of the graph of y= 30 + 5?
Help me pleas asap and pleas show your work
Answer:
9/10
Step-by-step explanation:
Convert: 3/5 * 6/5=18/25
Simplify and Round it towards 9/10
HELP ME PLEASE GUYS! :)
Remember that a system of equations (two lines) only has solutions if the lines cross. In this case, the lines are parallel, which means that they will never cross. Therefore, there are no solutions.
Hope this helps! :)
Look at the translation of the shape. Describe the translation that moves EFGH to E'F'G'H'.
3 boxes left 4 boxes up
4 boxes right 3 boxes up
4 boxes left 3 boxes up
Answer:
4 boxes left 3 boxes up.
Step-by-step explanation:
Plzzzzz help meeee plzzzzzzz plzzz
Answer:
try 20%
Step-by-step explanation:
Question Find the difference of (t−8)−(t+15)
Answer:
-23
Step-by-step explanation:
(t-8) - (t + 15)
t - 8 - t - 15
-8 - 15
-23
solve this
(below, in picture)
simplify the following 2 √5 *5 √5
Answer: 50!!!
Step-by-step explanation:
In this task, you will use the linear data from Task 1 to compare the linear functions.
Answer: Part A. Olivia- y=x+4 Camille- idr.k but it increases by 1/2 ever time
Part B. The slope represents the rate of change and the y-intercept indicates the value of y when x is 0.
Part C. Olivia's puppy weighed the most. It weighed 5 pounds.
Part D. Camille's puppy only gained 1/2 a pound each week.
Step-by-step explanation:
Write 25 and 13 as equivalent fractions using a common denominator.
Answer:
25/50 + 13/26
Step-by-step explanation:?????Not sure, please have someone else answer i dont want to be the cause of your incorrect answer:(
5/6 x 9/5...............................................................help asap
Step-by-step explanation:
5/6 ×9/5
Multiply the denominators and the numerators separately; that is:
5×9 and 6×5
45 and 30
=45/30
=3/2(simplified)
Answer:
1.5
Step-by-step explanation:
Please help!! markup and markdown word problems.
1. Timmy wants to buy a scooter and the price was $50. When he goes to the store a second time, he found that price was marked down by 20%. What is the new price?
2. A football is selling for 35% off the original price. The original price was $60. What is the sale price of the football?
The new price of the scooter will be:
= $50 - (20% × $50)
= $50 - $10
= $40
The sale price of the football will be:
= 35% × $60
= $21
write the equation of the line in fully simplified slope-intercept form
y= -4x-5 you can find this by seeing how far it goes up/down and where it starts:)
4d-6=-14+5d
i neeed help the last person didn’t even help me
3
5
y = mx + c
Find the value of y when m= -2, r = -7 and c= -3.
Answer:
This assume the equation is 35y = mx + c, and that r is meant to be x.
Step-by-step explanation:
35y = mx + c
35y = -2(-7) - 3
35y = 14 - 3
35y = 11
y = (11/35)
Please check the formatting of your question.
Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match. Which of these represents the money left in his wallet? in rupees
a)1600-x.
(b)2000-x
(c) x-1600
(d)x-2000
pls answer asap!!!
Answer:
Hi, the answer is a.
Step-by-step explanation:
1. 1800-200=1600
2. As 1800 is total x will be smaller amount. so....
3. when we write a subtraction statement bigger number - smaller number..
4. So answer will be 1600-x
The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match.
Then the expression is given as,
⇒ 1800 - x - 200
Simplify the expression, then we have
⇒ 1800 - x - 200
⇒ 1600 - x
The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.
More about the equivalent link is given below.
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Find the inverse of f(x) = 1/2x + 3
It’s a khan academy problem I have trouble with
