Compound interest formula:
Amount = starting value x ( 1+ interest rate/compounds per year)^(compound per year x number of years)
Amount = 12,000,000 x (1+ 0.10/1)^(1x5)
Amount = 19,326,120.00
Subtract 5x+10 from 2x-6 please answer
Answer:
-3x-16
Step-by-step explanation:
(2x-6)-(5x+10)
2x-6-5x-10
2x-5x-6-10
-3x-6-10
-3x-16
why 2+2=4 and not 2+2=22 ?
2 + 2 = 4 because 4 is a sum of 1-digit numbers
2 + 2 ≠ 22 because 22 is the sum of 1-digit and 2-digit numbers
Step-by-step explanation:
Lets explain some important notes:
The 1-digit number consists of one digit, 4 is a one-digit numberThe 2-digit number consists of two digits, ones digit and tens digit, 23 is a 2-digit number, the ones digit is 3 and the tens digit is 2, so its value is 20 + 3The 3-digit number consists of ones digit, tens digit and the hundreds digit, 123 is a 3-digit number, the ones digit is 3, the tens digit is 2 and the hundreds digit is 1, so its value is 100 + 20 + 3∵ 2 + 2 is the addition problem of two 1-digit numbers
∴ There sum will be 4 which is also 1-digit number
∴ 2 + 2 must be 4
∵ 22 is a two digit number
∴ Its value is 20 + 2 ⇒ not 2 + 2
∴ 2 + 2 can not be 22
2 + 2 = 4 because 4 is a sum of 1-digit numbers
2 + 2 ≠ 22 because 22 is the sum of 1-digit and 2-digit numbers
Learn more:
You can learn more about the place value of numbers in brainly.com/question/13174282
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what is one half of 9
Answer:
Step-by-step explanation:
1/2 of 9
" of " in math means multiply
1/2 * 9 = 9/2 or 4 1/2 or 4.5
Write the inequality for the graph.
Answer:
[tex]p\leq 4[/tex]
Step-by-step explanation:
we know that
The solution of the graph shows the interval (-∞,4]
All real numbers less than or equal to 4
In a number line the shaded area is at left of x=4 (closed circle)
The number 4 is included in the solution
therefore
the inequality that represent the graph is
[tex]p\leq 4[/tex]
For what values of x and y must ABCD be a parallelogram?
The values of x and y needs to be 39 degrees and 21 degrees respectively to show that ABCD is a parallelogram.
We know that opposite angles of a parallelogram are equal and we are asked to find the value of x and y.
We are given that angle A = 3y angle B = 3x , angle C = y + 78 and angle D = 4x - 21
Now as we know that the opposite angles are going to be equal.So,
angle A = angle C
3y = y + 78
2y = 78
y = 39
So, the value of y is going to be 39 degrees.
Similarly, we can also find the value of x.
angle B = angle D
3x = 4x - 21
-x = -21
x = 21
So, the value of x is going to be 21 degrees.
Hence, the values of x and y needs to be 39 degrees and 21 degrees respectively to show that ABCD is a parallelogram.
What is 7x-4y-8-3x-8y+12
Answer: total comes to 4X - 12Y + 4
Step-by-step explanation:
Answer:
7x - 4y - 8 -3x - 8y + 12
Step-by-step explanation:
7x - 3x = 4x
-4y - 8y = 12y
-8 + 12 = 4
4x - 12y + 4
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Explicit equation for the nth term of the geometric sequence 3584,896,224,
The explicit equation for the nth term of the geometric sequence 3584, 896, 224 is:
[tex]a_n=3584(0.25)^{n-1}\\\\\text{Where } n\geq 1 \text{ ,n = 1, 2, 3, 4, .........}[/tex]
Solution:
Given that we have to find the explicit equation for nth term of geometric sequence
Given sequence is:
3584, 896, 224
A geometric sequence has a common ratio
Let us find the common ratio. Divide each term by the previous term.
[tex]r=\frac{896}{3584} = 0.25\\\\r = \frac{224}{896} = 0.25[/tex]
Thus the common ratio is 0.25
The formula for nth term of geometric sequence is given as:
[tex]a_n=ar^{n-1}[/tex]
Where,
[tex]a_n[/tex] is the nth term of sequence
a is the first term of sequence
r is the common ratio
Here in given sequence 3584, 896, 224
first term = a = 3584
common ratio = r = 0.25
Therefore,
[tex]a_n=3584(0.25)^{n-1}[/tex]
[tex]\text{Where } n\geq 1 \text{ ,n = 1, 2, 3, 4, .........}[/tex]
"n" is a natural positive number greater than or equal to 1
Thus the explicit equation to find nth term is found
the 2619 women students on a campus constitute 54% of the entire student body. what is the total enrollment of the college?
Answer:
4850 students
Step-by-step explanation:
if 2619 women make up 54% of the entire student body, then we know that 0.54x=2619, since 54%=0.54 and we can call x the entire student body. solve:
0.54x=2619
÷0.54 ÷0.54
x=4850
henceforth, the total enrollment is 4850 students.
hope this is helpful!
Answer:
4850 students
Step-by-step explanation:
Let b = total enrollment.
Then 54% of b = 2619. Find b by dividing both sides of
0.54b = 2619 by 0.54:
b = 4850
The total enrollment is 4850.
I’d your percent discount is 25% and your sales price is $40, how do you find the original price
Answer:
40
Step-by-step explanation:
The ellipse with x-intercepts (2, 0) and (-2, 0); y-intercepts (0, 4) and (0, -4).
Answer:
[tex]\dfrac{x^2}{4}+\dfrac{y^2}{16}=1[/tex]
Step-by-step explanation:
If the ellipse has its x-intercepts at points (2, 0) and (-2, 0) and y-intercepts at points (0, 4) and (0, -4), then its symmetric across the y-axis and across the x-axis.
Moreover,
[tex]a=2\\ \\b=4[/tex]
The equation of such ellipse is
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]
Hence, the equation of the ellipse is
[tex]\dfrac{x^2}{2^2}+\dfrac{y^2}{4^2}=1\\ \\ \\\dfrac{x^2}{4}+\dfrac{y^2}{16}=1[/tex]
Please help!!! Need ASAP
Answer:
1=R, 2=O, 3=A, 4=D
Step-by-step explanation:
What is the easiest was to do algebra
Answer:
Step-by-step explanation:
Provide problems and we're here to help.
Answer:
write the problem, decide whether you use add or sub.,add or sub. the constant on both sides, eliminate the coefficients of the variable, last solve for the variable.
Step-by-step explanation:
k(2) = 6x + 100
k(-5) =
Answer:
70
Step-by-step explanation:
To evaluate k( -5), substitute x = - 5 into k(x)
k(−5)=(6×-5)+100=−30+100=70
10=z+6
How to get answer for integers
Answer:
Step-by-step explanation:
10=z+6
subtract 6 from both sides
4=z
z=4
Answer:
The answer is 4
Step-by-step explanation:
To get the answer for this equation, take 6 and subtract from both sides.. meaning 6-6 and they will cancel and then subtract 6 from 10 and that will give you your answer of 4.
Urgent please help me!!!!
1) Left 2, down 5
2) Right 2, down 9
3) left, up 9
4) left 2 , down 5
Answer:
right 2, down 9
Step-by-step explanation:
move point A' two places to the right, and down nine to get to point A
A 20-pound bag of dog food costs $16. What is the unit price per pound?
Answer:
0.8
Step-by-step explanation:
To calculate the cost of any item per pound, divide the cost of the item by its weight in pounds: cost ÷ pounds = cost per pound.
Hope This Helped!!
Answer:
0.8 is the unit price per pound
Step-by-step explanation:
If you divide the price ($16) by the amount (20 pounds) then you will get the unit price per pound (0.8)
So, 16 ÷ 20 = 0.8
X 1 2 3 4 5 Y 1 3 5 7 9
Given the table, write an expression for the function, and describe what it does.
A) y= 2x. Y is double x.
B) y= 3x. Y is triple x.
C) y= 2x + 1. Y is twice x plus 1.
D) y= 2x -1. Y is twice x minus 1.
The function that correctly represents the pattern in the given table is y = 2x + 1, which means that, for each input X, you multiply by 2 and then add 1 to obtain output Y.
Explanation:The table of values given indicates a linear relationship between X and Y. If we look closely, we can see that for every unit increase in X, Y increases by 2 units. This pattern indicates that the function is characterized by the equation y = 2x + 1.
So, the correct answer is C) y = 2x + 1. This means that Y is twice the value of X plus 1. In simpler terms, we multiply the input variable (X) by 2 and then add 1 to determine the output (Y).
None of the other given function expressions correctly describe the pattern observed in the table.
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The expression for the function is y=2x. Y is double x.
Explanation:The function that relates the values of X and Y in the given table is y = 2x. This means that the value of Y is twice the value of X. For example, when X=3, Y=6 because 2*3=6. This pattern holds true for all the other values in the table.
Option A) y= 2x is the correct expression for this function as it shows that Y is double X. Therefore, the answer to this question is A) y= 2x. Y is double x.
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What is the cube root of 27x18?
Final answer:
The cube root of 27x18 is 3x6, determined by taking the cube root of each term, with 27 yielding 3 and the x18 exponent reduced by a factor of 3 to x6.
Explanation:
The question posed is, "What is the cube root of 27x18?" To solve this, we need to break down the expression and compute the cube root of both terms separately. The cube root of 27 is 3 because 33 = 27. For the variable x raised to the 18th power, taking the cube root means we divide the exponent by 3, which gives us x6. Therefore, the cube root of 27x18 is 3x6.
What is the least number of years until the year rounded to the nearest ten is 2060
Answer:
35
Step-by-step explanation:
Final answer:
To determine the least number of years from 2023 until the year rounds to 2060, subtract 2023 from 2055, the first year that rounds to 2060, resulting in 32 years.
Explanation:
The question is asking for the least number of years it will take for the current year to be rounded to nearest ten to become 2060. To answer this, we consider the year closest to 2060 that when rounded will result in exactly 2060. We are considering that the current year is 2023, optimizing the rounding rule of being closer to or equal to the next multiple of ten (2055-2064 would round to 2060). Following this logic, the first year that rounds to 2060 is 2055, therefore the least number of years from 2023 until we reach a year that rounds to 2060 is 2055 minus 2023, which is 32 years.
twice the quantity x plus 2 is equal to 3 less than x
the perimeter of a equilateral triangle is 63 inches. If the length of each side is (4x+3),find the value of x
Answer:
Step-by-step explanation:
each side is 21 inches long.
4x+3=21
subtract 3 from both sides
4x=18
x=4.5
Answer:
4.5
Step-by-step explanation:
Since its an equilateral triangle, all the sides are equal.
SO, you can set up the equation:
3 ( 4x + 3 ) = 63
Start by disributing
12x + 9 =63
Subtract 9 from each side to isolate the variable
12x = 54
Divide both sides by 12
x = 4.5
theirs a picture at the top.
17. simplify
18. simplify
Answer:
C, B
Step-by-step explanation:
4x * 1 = 4x
4x * y = 4xy
4x + 4xy
Next
5 * x = 5x
5 * 3 = 15
5x + 15
Answer:
17(c)
18(b)
Step-by-step explanation:
17) (4x*1)+(4x*y)
4x+4xy
18) (x+3)5
(5*x)+(3*5)
5x+15
80Points!
will give brainliest, ratings, etc
and after you answer this
if you could be so kind as to aswer my last question that would mean the world!
its has 30points on it!
The information given represents lengths of sides of a right triangle with c the hypotenuse.
Find the correct missing length to the nearest hundredth.
a = ?, b = 11, c = 17
can you please help me find the length of A?
Using Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \sf\longmapsto P^2=17^2-11^2[/tex]
[tex]\\ \sf\longmapsto P^2=289-121[/tex]
[tex]\\ \sf\longmapsto P^2=168[/tex]
[tex]\\ \sf\longmapsto P\approx 13[/tex]
Answer:
H=17B=11P=?Using Pythagorean theorem
Step-by-step explanation:
You put $400 in an account. The account earns $18.00 simple interest in 9 months. What is the annual interest rate
Answer:$18.00
Step-by-step explanation:
How to solve 8(3p-1)+9=3(p+2)-1 ?
Answer:
4/21
Step-by-step explanation:
1. distribute
24p-8+9=3p+6-1
2. combine like terms on each side
24p+1=3p+5
3. solve for p
21p=4
p=4/21
What is 7,014,999,999 rounded to the nearest hundred thousand?
I need the help in fast
Answer:
Step-by-step explanation:
7,014,999,999 rounded to the nearest hundred thousand
7,015,000,000 <===
What is mZS?
Enter your answer in the box
Next
m∠S = 45°
Solution:
Given ∠R = 3x°, ∠S = 2x°, ∠T = 3x°.
Sum of the angles of a triangle = 180°
⇒ m∠R + m∠T + m∠S = 180°
⇒ 3x° + 3x° + 2x° = 180°
Adding all the angles.
⇒ 8x° = 180°
Divide both sides of the equation by 8, we get
⇒ x° = 22.5°
Substitute x = 22.5° in m∠S.
⇒ m∠S = 2 × 22.5°
⇒ m∠S = 45°
Hence, m∠S = 45°.
8(5s-13)-16(2s+6)=0
Answer:
s=25
Step-by-step explanation:
8(5s-13)-16(2s+6)=0
40s-104-32s-96=0
40s-32s-104-96=0
8s-104-96=0
8s-200=0
8s=0+200
8s=200
s=200/8
s=25
Answer: s=25
Step-by-step explanation:
Martell wants to use is calculator to find the value of X when Y equals 22 in the equation Y equals 100 - 3X. Explain how he can use each table or graph to find the value Of X when 100 -3X equals 22.
Describe the relationship between the 5 in 11.205 and the 5 in 5.32. Write 2 different statements using "times the value.
Final answer:
The 5 in 11.205 is in the thousandths place and represents 0.005, while the 5 in 5.32 is in the units place, representing 5. The 5 in 5.32 is one thousand times the value of the 5 in 11.205, and vice versa.
Explanation:
The relationship between the 5 in 11.205 and the 5 in 5.32 can be described in terms of their place values. In the number 11.205, the 5 is in the thousandths place, which means it represents 5 thousandths or 0.005. In the number 5.32, the 5 is in the units place, which means it represents 5 ones or simply 5.
To compare their values, we can say that the 5 in 5.32 is one thousand times the value of the 5 in 11.205 because 5 divided by 0.005 equals 1000. Alternatively, we could say the 5 in 11.205 is one thousandth the value of the 5 in 5.32.
These comparisons are based on the understanding of place value in decimal numbers, where each position to the left or right of the decimal point represents a power of 10. Therefore, the value of a digit is determined by its position relative to the decimal point.