This is formula of compound interest , where n = time .
What is the simple definition of compound interest?
When you earn interest on your interest earnings as well as the money you have saved, this is known as compound interest.As an illustration, if you put $1,000 in an account that offers 1% yearly interest, you will receive $10 in interest after a year. Compound interest allows you to earn 1 percent on $1,010 (principal plus interest), or $10.10 in interest payments for the year, in Year Two.the n stand for in this formula is time
the full formula is
A = P(1 + r/100)ⁿ
where A = Annual amount
P = initial amount
R= rate
n = time
this is formula of compound interest
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Please help! write the answer in slope-intercept form:
-4x + 2y = 20
Answer: y= 2x+10
Step-by-step explanation:
Slope Intercept form: y=mx+b
You want to find the equation in terms of y. So, therefore, isolate 2y
2y=20+4x
Divide both sides by 2
y=10+2x
|
|
|
v
y=2x+10
In Canadian coins, 16 quarters is equal in value to 2 toonies. 2. What does the value next to 1 mean in this situation? Type your response in the space below.
Regarding the Canadian coins, 1 toonies will be equal to 8 quarters.
How to illustrate the information?From the information given, it was stated that 16 Canadian coins, 16 quarters is equal in value to 2 toonies.
Therefore, it's important to find the constant of proportionality. This will be:
y = kx
where y = quarter
k = constant
x = toonies
16 = 2k
k = 16/2
k = 8
The value next to 1 quarter will be:
y = kx
y = 1 × 8
y = 8
Therefore, the toonies will be equal to right quarters.
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if 4/7 pound of fertilizer covers 87 square feet of ground, how much fertilizer in pounds is needed to cover 1 square foot of ground?
[tex]\begin{array}{ccll} \stackrel{lbs}{fertilizer}&\stackrel{feet^2}{ground}\\ \cline{1-2} \frac{4}{7}&87\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{4 }{7 } ~~}{x}~~ = ~~\cfrac{87}{1}\implies \cfrac{~~ \frac{4 }{7 } ~~}{\frac{x}{1}}=87 \\\\\\ \cfrac{4}{7x}=87\implies \cfrac{4}{87}=7x\implies \cfrac{4}{609}=x[/tex]
0.7/0.21 PLEASE HRURY 1 MIn
Answer: If you are asking what 0.7/0.21 is, that is 3.3 repeating.
Answer:
3.33333333
or 3.33
Помогите, пожалуйста, очень надо. даю 40 баллов
1. Lucy monitors the position of a large fish in the ocean with a depth finder. The device records the depth of the fish. Initially, the fish swims at a depth of 14 feet below sea level. Suddenly the fish rises l8 feet.
a.(2pts) What numerical expression represents the position of the fish relative to sea level after it rises 8 feet?
b.(2pts) What is the position of the fish after it rises 8 feet relative to sea level?
PLEASE HELP!!!!!!!!
(a) The numerical expression that represents the position of the fish relative to sea level after it rises 8 feet is (14 - 8) feet.
(b) The position of the fish after it rises 8 feet relative to sea level is 6 feet below the sea level.
Lucy monitors the position of a large fish in the ocean with a depth finder. The device records the depth of the fish.Initially, the fish swims at a depth of 14 feet below sea level.The fish rises by 8 feet.(a) The new depth of the fish below the sea level is 14-8 feet.The numerical expression that represents the position of the fish relative to sea level after it rises 8 feet is (14 - 8) feet.(b) The new depth of the fish below sea level is 14-8 feet.The new depth of the fish below sea level is 6 feet.The position of the fish after it rises 8 feet relative to sea level is 6 feet below sea level.To learn more about depth, visit :
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An alligator's tail length, T, varies directly as its body length, B. An alligator with a body length of 2.8 feet has a tail length of 2 feet. What is the tail length of an alligator whose body length is 4 2 feet?
Body length, B
-Tail length, 7-
The tail length is
feet
(Type an integer or decimal rounded to the nearest tenth as needed)
The tail length of an alligator whose body length is 4.2 feet will be 3 feet.
What is direct proportionality?
Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. Mathematically, direct proportionality is represented by a straight line and it equation is of the form -
y = kx
k = y/x
where [k] is the constant
Given is an alligator's tail length [T] varies directly as its body length [B]. An alligator with a body length of 2.8 feet has a tail length of 2 feet.
We can write as -
tail length [T] [tex]\alpha[/tex] body length [B].
Therefore -
T/B = K [Constant]
We can write -
T₁/B₁ = T₂/B₂
2/2.8 = T₂/4.2
T₂ = (2 x 4.2)/2.8
T₂ = 3 ft
Therefore, the tail length of an alligator whose body length is 4.2 feet will be 3 feet.
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Is it possible for f(x)=5•2^x
To equal to 200? If yes why and if not why?
Answer: It is not possible for f(x) = 5(2^x) to equal to 200.
Step-by-step explanation: I put it in a calculator. When x = 5.321, the output is approximately 199.871380105. But when x = 5.322, the output is about 200.009968414. This means that the output of exactly 200 is impossible.
Use unit rates to determine the better buy and provide the unit price for your answer. Round your answer to the nearest hundredth, if necessary.
$4.05 for 150 index cards
$1.17 for 30 index cards
The unit rate of the given parts are :
1) 37.037 index cards
2) 25.64 index cards
What is unit rate?An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.
The denominator of a unit rate is always 1. Therefore, divide the denominator by the numerator so that the denominator equals one in order to determine the unit rate. The unit rate is 50km/5.5 hours = 9.09 km/hour, for instance, if 50km are traveled in 5.5 hours.
1 ) $4.05 for 150 index cards
Thus for $1 we will get = 37.037 index cards
2) $1.17 for 30 index cards
Thus for $1 we will get = 25.64 index cards
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HELP FAST PLEASE! I NEED THE ANSWER, THIS IS SO DIFFICULT
5y+10-x=4y+3x solve for y
By isolating the variable y in the left side of the linear equation, we will get:
y = 4x - 10
How to solve the linear equation for y?
Here we have a linear equation and we want to solve this for y, to do this, we need to isolate the variable y in one of the sides of the equation.
The linear equation is:
5y + 10 - x = 4y + 3x
Moving all the terms with y to the left side and the others to the right side, we get:
5y - 4y = 3x - 10 + x
If we simplify this we get:
y = 4x - 10
This is the linear equation solved for y.
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Abdul brought 16 packs of cola to a party, and each pack had 8 cans. Diane brought 9 cans of juice. How many cans did they bring in all?
Answer:
Abdul and Diane brought 137 cans in all.
Step-by-step explanation:
Abdul brought 16 packs that had eight cans each so to find how many cans he brought in total you do:
16 × 8 = 128
Diane brought 9 cans.
To find what they brought in all add the two amounts together:
128 + 9 = 137
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which are the graphs of sine functions (more than 1 answer)
For the very first graph of the sinx function,
[tex]\sin \frac{\Pi}{2}=1[/tex][tex]\sin \Pi=0.[/tex]According to the coordinates obtained ,
The graph from the options which satisfied the sinx function are,
The graph of option A,C are satisfied the sin function .
Therefore the correct option is A , C.
2)
105°
22x-5
Solve for x! Remember that alternate
exterior angles are congruent
(equal).
Evaluate the expression when a=4 and b=9. 8b-a
What is the relationship between remote interior angles and the associated exterior angle
The measure of the exterior angle equals the sum of the two remote interior angles
Explanation:
The measure of the exterior angle equals the sum of the two remote interior angles
then
[tex]\begin{gathered} \\ \text{exterior angles= 2}\cdot interior\text{ angles} \end{gathered}[/tex]I hope this helps you
Enter the coefficients of the regression equation: _______x^2+________x+_______ Using this equation, find the profit, to the nearest dollar, for a selling price of 16.75 dollars.
Answer:
I think it is the first ones
Answer:
[tex]y=\boxed{-14.380}\;x^2+\boxed{299.970}\;x+\boxed{-950.851}[/tex]
$39
Step-by-step explanation:
Create 5 additional columns on the given table for x², x³, x⁴, xy, and x²y.
Calculate the values and add the sum of each column.
(See attachment 1).
Use the matrix equation for determining the parabolic curve, entering the sums from attachment 1:
[tex]\displaystyle a \sum x{_i}^4+b \sum x{_i}^3+c \sum x{_i}^2=\sum x{_i}^2y_i[/tex]
[tex]\implies 74446.015625a+6046.90625b+520.25c=248662.875[/tex]
[tex]\displaystyle a \sum x{_i}^3+b \sum x{_i}^2+c \sum x{_i}=\sum x{_i}y_i[/tex]
[tex]\implies 6046.90625a+520.25b+48.5c=22987.5[/tex]
[tex]\displaystyle a \sum x{_i}^2+b \sum x{_i}+c n_i=\sum y_i[/tex]
[tex]\implies 520.25a+48.5b+5c=2313[/tex]
Solve for a, b and c using a calculator:
a = -14.38019324...b = 299.9701548...c = -950.8513949...Insert these values (rounding to 3 decimal places) into the quadratic formula [tex]y=ax^2+bx+c[/tex] :
[tex]\large\boxed{y=-14.380x^2+299.970x-950.851}[/tex]
To find the profit (y) for a selling price of 16.75, substitute x = 16.75 into the found quadratic equation:
[tex]\implies y=-14.380(16.75)^2+299.970(16.75)-950.851[/tex]
[tex]\implies y=39.157...[/tex]
Therefore, the profit is $39 to the nearest dollar.
Note: Attachment 2 is the two-variable regression analysis as calculated by an online graphing calculator, proving that the y-value is 39 (nearest whole number) when x=16.75.
Given that w =(x + y)/z
x = 2.5 ± 0.5, y = 1.5 ± 0.5 and z = 1.1 ± 0.1,
find the lower and upper bounds of w.
The lower and upper bounds of w is 3 and 4.16
What is Upper bound and Lower bound?
An element of K that is bigger than or equal to every element of S is referred to as an upper bound or majorant of S in mathematics, specifically in order theory. In contrast, a lower bound or minorant of S is defined as an element of K that is smaller than or equal to every element of S. A set that has an upper (or lower) bound is said to be majorized[1] (or minorized, respectively) from above (or below) by that constraint.
Given that,
w =(x + y)/z
x = 2.5 ± 0.5,
y = 1.5 ± 0.5
and, z = 1.1 ± 0.1
Substituting the values in the equation to find upper bound
x = 3.0
y = 2.0
z = 1.2
Then,
w = (3 + 2)/1.2
w = 5/1.2
w = 4.16
Substituting the values in the equation to find lower bound
x = 2.0
y = 1.0
z = 1.0
Then,
w = (2 + 1)/1
w = 3/1
w = 3
Hence, The upper bound of w is 4.16
The lower bound of w is 3
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twice a number, increased by three, is between negative one and nine. Find all the numbers.
The solution set for the obtained inequality is {.......-5, -4, -3, -2, -1, 0, 1, 2}.
Given that, twice a number, increased by three, is between negative one and nine.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Let the unknown number be x.
Now, twice a number, increased by three = 2x+3
The given expression is between negative one and nine
-1 < 2x+3 < 9
-1 < 2x+3
Subtract 3 to both the side of the inequality
-1-3<2x+3-3
⇒ -4 < 2x
Divide 2 to both the side of the inequality
-2 < x
Now, 2x+3 < 9
Subtract 3 to both the side of the inequality
2x+3-3<9-3
⇒ 2x<6
Divide 2 to both the side of the inequality
x < 3
So, -2<x<3
Solution set = {.......-5, -4, -3, -2, -1, 0, 1, 2}
Therefore, the solution set for the obtained inequality is {.......-5, -4, -3, -2, -1, 0, 1, 2}.
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There are some regular and diet soft drinks in the refrigerator. if 1/4 of the soft drinks are diet, what percent of the soft drinks are diet drinks?
Answer: 25%
Step-by-step explanation:
1/4 make the denominator 100
100/4 =25
times 25 by 1/4 = 25/100
Answer = 25%
THE CASE OF THE MIXED UP PAWN SHOP!
100 POINTS!!!!!!!!!!
Answers 1: = ⅔ y + 4
2. x - y = 8
3. numb.
4. x = ⅓ y + 1
5. x = 2y - 2
Which equation is equivalent to the equation 5x+30=45
Answer:
x=3
Step-by-step explanation:
how much larger 38x38 then 37x37
Answer:
38 × 38 is larger than 37 × 37 by 75!
-. What's the first step in this multi step problem?
Note: For each step, the same thing is done to both sides of the equation.
x/3 - 15 = -5
O 3× x/3 -15 = -5×3
O x/3 - 15 + 15 = -5 + 15
The equation that represents the first step is (b) x/3 - 15 + 15 = -5 + 15
How to determine the first step of the equation?The equation is given as
x/3 - 15 = -5
In the above equation, we have:
Variable term = x/3Constant terms = -15 and -5The first step is to eliminate the constant terms from the variable terms
This is done by adding 15 to both sides of the equation
So, we have
x/3 - 15 + 15 = -5 + 15
Hence, the first step is (b) x/3 - 15 + 15 = -5 + 15
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cube root of 0.000729
Answer: 0.09
Step-by-step explanation:
For which inequality would x = 5.8 not be a solution?
Ox-9<0
05x-14>3
Ox+6 ≤ 10
06-x≤1
Answer:
x+6 ≤ 10
For this inequality 5.8 will not be a solution
Step-by-step explanation:
Plug in x = 5.8 into each inequality. All inequalities except x + 6 ≤ 10 are satisfied
x + 6 = 5.8 + 6 = 11.8 and this is greater than 10 so the inequality x + 6 ≤ 10 is not satisfied
Isabella is raising goats for her town's agricultural fair. She fences a rectangular area in her yard to use as a pasture. The width of the pasture is 124.5 feet, and the length is 180.2 feet. What is the area of the pasture?
The area of the rectangular pasture will be;
⇒ 22,434.9 feet²
What is mean by Multiplication?
To multiply means to add a number to itself a particular number of
times. Multiplication can be viewed as a process of repeated addition.
Given that;
Isabella is raising goats for her town's agricultural fair.
She fences a rectangular area in her yard to use as a pasture.
The width of the rectangular pasture = 124.5 feet
The length of the rectangular pasture = 180.2 feet
Since, we know that;
Area of the rectangle = Length x Width
Substitute all the values, we get;
Area of the rectangular pasture = 180.2 x 124.5
Area of the rectangular pasture = 22,434.9 feet²
Therefore,
The area of the rectangular pasture will be;
⇒ 22,434.9 feet²
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0
37 The value of b is 75°. What is the value of 4x in the triangle?
A 15°
B 30°
C 45°
60°
OE 120°
O
b
3x
4.x
The value of angle 4x of the triangle is found as 60 degrees.
Describe the triangle?A triangle is a 2-dimensional closed shape with three sides, three angles, and three vertices. A triangle is a type of polygon.Triangle CharacteristicsThe sum of a triangle's three interior angles is always 180.The sum of any two triangle sides is always higher than the length of the third side.A triangle's area is equal to half the product of its base as well as height.For the given question,
The angle of the triangle are given as;
b = 753x and 4xWe know that the sum of the angles of the triangle is 180 degrees.
thus,
75 + 3x + 4x = 180
7x = 180 - 75
7x = 105
x = 15
the, 4x = 4×15 = 60
Thus, the value of angle 4x of the triangle is found as 60 degrees.
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find a. angle measure Ab. mC^Ec. angle measure Cd. angle measure De. angle measure ABE
Part A: Solving for angle measure A
Part B: Finding Arc CE
[tex]\begin{gathered} m\angle B=\frac{1}{2}\text{Arc }CE \\ 24\degree=\frac{1}{2}\text{Arc }CE \\ \text{Arc }CE=2\cdot24\degree \\ \\ \text{Therefore, Arc }CE=48° \end{gathered}[/tex]Part C: Finding ang measure C
[tex]\begin{gathered} m\angle C=\frac{1}{2}\text{Arc }BD \\ m\angle C=\frac{1}{2}(82\degree) \\ \\ \text{Therefore, }m\angle C=41° \end{gathered}[/tex]Part D: angle measure D
[tex]\begin{gathered} m\angle D=\frac{1}{2}\text{Arc }AC \\ m\angle D=\frac{1}{2}(74\degree) \\ m\angle D=\frac{1}{2}(74\degree) \\ \\ \text{Therefore, }m\angle D=37° \end{gathered}[/tex]Part E: angle measure ABE
[tex]\begin{gathered} m\angle ABE=\frac{1}{2}\text{Arc AE} \\ m\angle ABE=\frac{1}{2}(\text{Arc AC}+\text{Arc CE}) \\ m\angle ABE=\frac{1}{2}(74\degree+48\degree) \\ m\angle ABE=\frac{1}{2}(122°) \\ \\ \text{Therefore, }m\angle ABE=61° \end{gathered}[/tex]Use < or > to write a true sentence. show Your work in lining up decimals and adding Zeroes.7.123 7.213
To compare 7.123 and 7.213 you have to look at tenths place in each number. Given that 1 is less than 2, then 7.123 is less than 7.213, that is,
7.123 < 7.213