Answer:
[tex]n = \frac{r}{\sqrt[nt]{\frac{a}{p}} -1 }[/tex]
Step-by-step explanation:
[tex]a=p(1+\frac{r}{n} )^{nt}[/tex]
[tex]\frac{a}{p} =(1+\frac{r}{n} )^{nt}[/tex]
[tex]\sqrt[nt]{\frac{a}{p}} =(1+\frac{r}{n} )[/tex]
[tex]\sqrt[nt]{\frac{a}{p}} -1 =(\frac{r}{n} )[/tex]
[tex]n = \frac{r}{\sqrt[nt]{\frac{a}{p}} -1 }[/tex]
[ Do not confuse, as there are 2 n's, one in subject and another as power. We can never make the power or in a root, the subject. In order to solve for n, we have to make the character "n", the subject. ]
What is 5/6 - 3/8 ?
? Choose the answer in the most simplified form.
A. 1 / 3
B. 9/16
C. 1/12
D. 11/24
Answer:
D. 11/24
Step-by-step explanation:
→ [tex]\frac{5}{6} -\frac{3}{8}[/tex]
→ [tex]\frac{40-18}{48}[/tex]
→ [tex]\frac{22}{48}[/tex]
→ [tex]\frac{11}{24}[/tex]
Answer:
D is the answer
Step-by-step explanation:
[tex]\frac{5}{6} - \frac{3}{8} \\[/tex]
find a common factor between 6 and 8, thats 24.
(multiply the first fraction by 4, second by 3, both numerator and denominator)
Becomes:
[tex]\frac{20}{24} - \frac{9}{24}[/tex]
Then subtract the numerators, keeping the denominators the same:
20 - 9 = 11;
So the answer is:
[tex]\frac{11}{24}[/tex]
Radically reduce square root of 243
Answer: 9sqrt(3)
Step-by-step explanation:
First, we can prime factorize 243.
243 = 3^5
Therefore we are computing the square root of 3^5
3^5 = 3^4 * 3^1; 3^4 = (3^2)^2
Therefore, sqrt(3^5) = sqrt((3^2)^2))*3^1)
= 3^2*sqrt(3)
= 9sqrt(3)
help i give 5 stars and a crown
Answer:
false
Step-by-step explanation:
it cannot possibly be 180 because when you add up the other two together and then add 180 it is over 360 degrees
1 yd² of soil containing 30% clay was mixed into 2 yd of soil containing 45% clay. What is the clay content of the mixture?
Answer:
105% ?
Step-by-step explanation:
I'm not entirely sure if the 1 yard 'squared' is considered in the 30% but assuming it's not ... 1yd =30% 1yd^2=60% and 2yd=45% so 60%+45%=100%
given that (x-2) is a factor of (x³-8) ,what is the other factor?
Answer:
[tex]x^2+2x+4[/tex]
Step-by-step explanation:
This expression can also be written as a difference of cubes:
[tex]x^3-2^3[/tex]
A important formula to remember is:
[tex]a^3-b^3=(a-b)(a^2+ab+b^2)[/tex]
We can use this to factor this expression:
[tex]x^3-2^3=(x-2)(x^2+2x+4)[/tex]
Therefore the other factor is:
[tex]x^2+2x+4[/tex]
Directions: Determine the axiom that justifies each of the following statements.
1. 2( -a + 5) = (2)(-a) + (2)(5)
2. 2/5 ⋅ 1 = 2/5
3. (x + 5) + 2 = x + (5 + 2)
Answer:
distributive propertymultiplicative identity elementassociative property of additionStep-by-step explanation:
1.The distributive property of multiplication over addition tells you a factor outside parentheses will multiply each term inside parentheses. That fact is used to expand the given expression. In general, ...
a(b +c) = ab +ac
2(-a +5) = 2(-a) +2(5)
__
2.The multiplicative identity element is the value that can multiply any expression and leave it unchanged. It is 1. That is, multiplying anything by 1 leaves it unchanged.
This fact is generally used to cancel factors common to a numerator and denominator: (2x)/2 = x(2/2) = x(1) = x, for example. It is also used extensively in units conversion.
__
3.The associative property of addition lets you group the terms of a sum any way you like. It lets you move parentheses at will. (Beware subtraction.)
Here, the parentheses are moved from grouping the first two terms to instead grouping the last two terms.
_____
Additional comment
These are part of the vocabulary of math. Even if you don't remember the specific definitions, it is essential to remember what these properties allow. Making use of them is the way that expressions are simplified and equations are solved.
Answer:
Distributive Property of MultiplicationIdentity Property of MultiplicationAssociative Property of AdditionStep-by-step explanation:
Distributive Property of Multiplication
The distributive property of multiplication is to distribute or multiply one term by all terms.
2(-a + 5) Distrbute 2 to -a and 52(-a) + 2(5)-2a + 10Identity Property of Multiplication
Identity property is to multiply by 1. This doesn't change the value, so it keeps the value, identity, the same.
2/5 * 1 = 2/5Associative Property of Addition
The associative property is to group terms differently, preferably like terms. 2 and 5 are like terms, because they are integers.
(x + 5) + 2x + (5 + 2)x + 10-Chetan K
If line m bisects AB at point P, and if AP= 1/2 y and PB= y-2, then find AB
Answer:
the answer is twenty four
thx for your help on the other one now i need help on this one
A) For a meal that cost nothing, starving people would line up for hours, even in the middle of Times Square.
A may be the answer.
B) All across the nation, starving people who couldn't buy food stood in breadlines for hours.
B is not the answer.
C) Millions of men and women were out of work and hungry during the Great Depression.
C is not the answer.
D) Breadlines in the Times Square provided free meals for hungry men and women.
D is not the answer.
The answer is A) For a meal that cost nothing, starving people would line up for hours, even in the middle of Times Square.Let me know if this is the correct answer. :)
Please answer this right if you do I’ll give brainly please please please
Answer:
$2.25
Step-by-step explanation:
last year price = $3.00
this year price = $3.00 - (25% × $3.00)
= $3.00 - $0.75
= $2.25
A base is labeled on the triangle below. B. C 7 * base Which line segment shows the height that corresponds to the given base of the triangle?
Answer: A
Step-by-step explanation:
Looks like A, since it's the altitude.
Grandma baked 1.5 times as many pancakes as waffles. After she baked 45 more waffles, and her grandchildren ate 12 pancakes, there were 17 more waffles than pancakes. How many waffles were there initially?
pls help fast
Answer:
80
Step-by-step explanation:
(x + 45) - (1.5x - 12) = 17
x + 45 - 1.5x + 12 = 17
-0.5x+57=17
-0.5x=-40
-40/-0.5=80
The distance from O to A is 3 and the distance from A to A prime is 3. The diagram shows a dilation. Which dilation does it represent? What is the scale factor?.
The dilation which represented by the line is enlargement and the scale factor of dilation is 2.
What is the dilation of the figure?Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.
The distance from O to A is 3. Therefore,
[tex]OA=3[/tex]
The distance from A to A prime is 3. Therefore,
[tex]AA'=3[/tex]
Here, the new length of the line segment is,
[tex]OA'=OA+AA'\\OA'=3+3\\OA'=6[/tex]
The scale factor of dilation is,
[tex]r=\dfrac{OA'}{OA}\\r=\dfrac{6}{3}\\r=2[/tex]
The scale factor is 2 and the image is enlarged.
Hence, the dilation which represented by the line is enlargement and the scale factor of dilation is 2.
Learn more about the dilation of the figure here;
https://brainly.com/question/3457976
Answer:
enlargement
2
Step-by-step explanation:
find the constant term of -8x-5x^4-1-x^5/9+8x^3
PLS HELP THXS
(PLEASE HELP!) (IM GIVING GOOD POINTS!) Michaela buys 2 cartons of eggs at $1.58 a carton, 415 pounds of ground turkey at $6.99 a pound, and a jar of strawberry jam for $4.38. She gives the cashier four $10 bills.
How much change will Michaela receive?
Enter your answer as a decimal rounded to the nearest hundredths place, if necessary, like this: 4.25
Answer:
Michaela gets 3.45$ back.
Step-by-step explanation:
1 carton of eggs = 1.58$
she buys 2, so 2 times 1.58= 3.16$
1 pound of turkey = 6.99$
she buys 4.15 pounds, so 4.15 times 6.99= 29.01$
she buys a jar of jam for 4.38$
4.38 + 3.16 + 29.01 = 36.55$
4 times 10= 40
40 - 36.55 = 3.45$
Answer:
$3.10
Step-by-step explanation:
The cost of the goods Michaela buys is ...
2 cartons eggs at $1.58 per carton = $3.16
4 1/5 pounds turkey at $6.99 per pound = $29.36
1 jar of jam at $4.38 per jar = $4.38
The total is then ...
$3.16 +29.36 +4.38 = $36.90
Four $10 bills will be $40, so the change is ...
$40 -36.90 = $3.10
Michaela will receive $3.10 in change.
_____
Additional comment
We know that Brainly often mangles mixed numbers, so we have assumed that "415" is intended to be 4 1/5. If it is intended to be 4.15 pounds, then the price of the turkey, and the change, will be different by about $0.35. Michaela's change will increase by that amount.
Choose the polynomial that is written in standard form. 2x2 3x4 10x6 4x4 6x3 10x4 −3x8 9x2 10x −7x6 x3 10x8.
The polynomial [tex]\rm -3x^8 +9x^2+ 10x[/tex] is written in standard form. The correct option is C.
What is polynomial?Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
The standard form of the polynomial is given as
[tex]\rm a_o x^{n} + a_1 x^{n-1} + a_2 x^{n-2} + ...... + a_n x^{n-n}[/tex]
1. [tex]\rm 2x^2 +3x^4 +10x^6[/tex] is not written in standard form.
2. [tex]\rm 4x^4 +6x^3 + 10x^4[/tex] is not written in standard form.
3. [tex]\rm -3x^8 +9x^2+ 10x[/tex] is written in standard form.
4. [tex]\rm -7x^6 + x^3 + 10x^8[/tex] is not written in standard form.
More about the polynomial link is given below.
https://brainly.com/question/17822016
Zachary invests $400 into an account that earns 3.5% simple interest for 5 years. He does not make any other deposits or withdrawals.
At the end of 5 years, Zachary invests the entire account balance into a different account that earns 5% simple interest. He leaves the money in the account for 2 years without making any additional deposits or withdrawals.
What is the new account balance at the end of 2 years?
Drag and drop values into the boxes to correctly complete the statements.
Zachary invests $Response area into the account that earns 5% simple interest. At the end of 2 years, the account balance is $Response area.
Answer:
Zachary invests $470 into the account that earns 5% simple interest. At the end of 2 years, the account balance is $517
Step-by-step explanation:
I took the test
The new account balance at the end of 2 years is $517.
Simple interest5 years
Using this formula
I= (P+r×t)
Where:
I=Interest=?
P=Principal=$400
r=Interest rate=3.5%
t=Time=5 years
Hence:
I= ($400×0.035 x 5)
I= $70
2 years
I=Interest=?
P=Principal=$470
r=Interest rate=5%
t=Time=2 years
I=($470+0.05×2)
I=$47
New balance:
New balance=$400+$70+$47
New balance=$517
Inconclusion the new account balance at the end of 2 years is $517.
Learn more about simple interest here:https://brainly.com/question/2294792
What is the solution set for this inequality?
-8x + 40
-16
Can anyone please help me out with this??? PLEASE AND THANK YOU
Answer:
(-2/3, 4)
Step-by-step explanation:
3x+2y=10
-12x-2y=-4
-9x=6
x=-6/9=-2/3
-2+2y=10
y=4
x^2(x+2)(x+6)=0
What are the solutions to the equation?
Answer:
3 solutions
Step-by-step explanation:
x = 0; x = 2; x = -6
As we are given with an equation as follows :
[tex]{:\implies \quad \sf x^{2}(x+2)(x+6)=0}[/tex]
As product of these three factors is equal . So , any of these factor can be 0 as product is 0 only when one of the expressions which are multiplied is 0. So , 3 cases arises as follows ;
Case I :-[tex]{:\implies \quad \sf x^{2}=0}[/tex]
On raising ½ power to both sides we have ;
[tex]{:\implies \quad \sf x=\pm \: 0}[/tex]
Now , as +0 and -0 have no difference in them . So , it's simply 0
[tex]{:\implies \quad \sf So\quad x=0}[/tex]
Case II :-[tex]{:\implies \quad \sf x+2=0}[/tex]
[tex]{:\implies \quad \sf So\quad x=-2}[/tex]
Case III :-[tex]{:\implies \quad \sf x+6=0}[/tex]
[tex]{:\implies \quad \sf So\quad x=-6}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Hence \:\: x\in \{0,\: -6,\: -2\}}}}[/tex]
Pythagorean theorem Words Problems
Answer:
22.2 ft
Step-by-step explanation:
=) B² = H² - P²
=) B² = 32² - 23²
=) B² = 1024 - 529
=) B = 495 root sq.
=) B = 22.2 ft
help with angle sum theorem please
Dave buys a coat for £20, a hat for £15 and a pair of gloves for £5.
Later, he sells the coat at 50% profit. He sells the hat for £18 but has to sell the gloves at a 20% loss.
What is his overall percentage profit?
Answer:
30%
Step-by-step explanation:
Purchases:
Coat £20
Hat £15
Gloves for £5
Total amount of purchases: £20 + £15 + £5 = £40
Sales:
Coat at 50% profit: 150% × £20 = 1.5 × £20 = £30
Hat: £18
Gloves at a 20% loss: 80% of £5 = £4
Total amount of sales: £30 + £18 + £4 = £52
Amount of profit: £52 - £40 = £12
Percent of profit: £12 / £40 × 100% = 30%
HELPPPPPPPPPPPPPPPPP Solve for w x and y
Step-by-step explanation:
opp angles are equal in kite
so x = 48°
bigger diagonal bisects smaller diagonal
w=1.6cm
take ∆rey
r= 90°
angle rye = 48°
90+48+y = 180
y= 90-48=42°
what is the Area of the parallelogram
Answer:
55
Step-by-step explanation:
The Distance between (-2, -5) and (-2, 6) is 11 and the distance between (-2, 5) and (3, 5) [the altitiude] is 5. 11 x 5 is 55 so therefore the area is 55 :)
A shirt is on sale for 30% off the regular price. The regular price is $27.00.
What is the sale price?
$8.10
$18.20
$18.90
$18.80
Answer:
18.90
Step-by-step explanation:
This circle is centered at the origin, and the length of its radius is 4. What is
the circle's equation?
Solve ABC where ∠C = 90°, a = 15 cm, and b = 7 cm.
Answer:
c ≈ 16.55cm ; ∠A = 65 degrees ; ∠B = 25 degrees
Step-by-step explanation:
Because of the Pythagorean theorem, we can solve for c.
This theorem states: a^2 + b^2 = c^2
Since there can only be 180 degrees in a triangle, angle C must be our largest angle. This means that side c is our hypotenuse (the longest side).
Using all of this information, we can say that 15^2 + 7^2 = c^2.
Simplifying that equation, we get that 274 = c^2.
In order to find c, we must square root both sides, and we find that c is about 16.55 cm long.
Using SOHCAHTOA, we know that the tan(∠B)=[tex]\frac{7}{15}[/tex]. Therefore, the arctan ([tex]\frac{7}{15}[/tex]) = ∠B.
Once you find that ∠B is about 25 degrees, you can add ∠B and ∠C together and subtract that from 180 to find ∠A.
∠A = 65 degrees.
The points (-5, r) and (2, 3) lie on a line with slope 2. Find the missing coordinate r.
Answer:
Step-by-step explanation:
I will use the formula for finding the slope of a line.
rise/run = y2 - y1/x2 - x1
3 - r/2 - -5
We will subtract 2 from -5. 2 - -5 = 7
Since the slope is 2, and 2 - -5 = 7, then 3 - r = 7x2 = 14.
3 - 14 = -11
r = -11
Please give me right answer fast need it by tonight
a + c = 30
12a + 8c = 280
Answer:
a=10 and c=20
Step-by-step explanation:
This is a system of equations. I will solve using the substitution method.
a+c=30
12a+8c=280
Solving for a:
a+c-c=30-c
a=30-c
Substituting a into the second equation:
12(30-c)+8c=280
360-12c+8c=280
360-4c=280
-4c=-80
c=20
Substituting into the original equation:
a+20=30
a+20-20=30-20
a=10
To prove this answer is correct, I will plug the solutions back in to the original equation.
a+c=30
10+20=30
30=30, True
12a+8c=280
12*10+8*20=280
120+160=280
280=280, True
Therefore, a=10 and c=20.