Answer:
A-1/P=n
Step-by-step explanation:
step 1. look at the parentheses and use inverse operations on both sides
A=P(1+n)
-1 -1
step 2. divide both sides by P
A-1=P(n)
/P /P
n= A-1/P
The value of n on solving the equation A = P (1 + n) is A / P - 1.
What is equation?An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
A = P (1 + n),
Here we can solve the parentheses by using the distributive property as shown below,
A = P × 1 + P × n
A = P + nP
Transform as shown below,
nP = A - P
n = (A - P) / P
n = A / P - 1
Thus, the value of n is A / P - 1.
To know more about equation:
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Which expression is equivalent to 3V64a^6b^7c^9?
Answer:
24a³b³c⁴[tex]\sqrt{bc}[/tex]Step-by-step explanation:
Given
3[tex]\sqrt{64a^6b^7c^9}[/tex]Equivalent expression is
3[tex]\sqrt{64a^6b^7c^9}[/tex] =3[tex]\sqrt{8^2(a^3)^2b(b^3)^2c(c^4)^2}[/tex] =3*8a³b³c⁴[tex]\sqrt{bc}[/tex]=24a³b³c⁴[tex]\sqrt{bc}[/tex]marie wants to know the most popular car for parents. She plans to survey the people shopping at the used car lot from 10:00 a.m. to 11:00 p.m. Which statement below best reflects Marie's plan?
A. Marie's sample is valid.
B. Marie should also survey people entering the grocery stores.
C. Marie's sample is biased.
D. Marie should make sure she surveys both men and women.
Answer:
C Marie's sample is biased.
Step-by-step explanation:
It is biased because she doesn't know. It is just 1 hour so like there could be like a lot of people at 4-5 and not a lot at 10-11
Hope this helps!
Merry Christmas
Answer:
Give the other person brainliest.
Step-by-step explanation:
The other person is correct.
An airplane on autopilot took 9 hours to travel 6399 kilometers. What is the unit rate for kilometers per hour?
Answer:
6399/9=711 The answer to this question is 711.
(17-6 ➗ 2)+4 x 3
help a homie:(
Michael can mow 5 lawns in 36 minutes. At this rate, how long will it take him to mow 15 lawns?
Answer:
It would take him 108 minutes to mow the lawn.
Step-by-step explanation:
We can do proportion.
[tex] \frac{5 \: lawns}{36 \: minutes} = \: \frac{15 \: lawns}{x} [/tex]
[tex]36 \times 15 = 540 \\ 5 \times x = 5x[/tex]
[tex] \frac{540}{5} = \frac{5x}{5} [/tex]
[tex]108 = x[/tex]
It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to school. How long does it take Andre to walk to school?
6th grade math
(20 points)
what is the maximum value of the function? explain what the maximum value of this represents in this situation. make sure to include information about the x-value and y-value in your explanation
wowwwww he just roasted youuuuuuuuuu!!!!!
3 1/9+2 1/4=
what is the answer
Step-by-step explanation:
Hellpppp pls!!!!!!!!!!!!
Answer:
2a+6b
Step-by-step explanation:
Answer:
6b + 2a
a + (a + 6b)
(a + 3b)2
whats the average rate of change from x = - 3 to x = 5
Answer:
0
Step-by-step explanation:
Average rate of change from x = -3 to x = 5.
When x = -3, y = -1. That is f(-3) = -1
When x = 5, y = -1, That is f(5) = -1
Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]
Where,
[tex] a = -3, f(a) = -1 [/tex]
[tex] b = 5, f(b) = -1 [/tex]
Plug in the values into the equation:
[tex] = \frac{-1 - (-1)}{6 -(-3)} [/tex]
[tex] = \frac{0}{8} [/tex]
[tex] = 0 [/tex]
Average rate of change = 0
which following equal to forty and two hundred seventy four thousandsths?
A. 40.274
B.40.074
C.40.274
D.40.0274
Answer:
The answer to this question is C. 40.274.
I would really appreciate it if someone could answer this It’s due in 20 mins please help :(
Answer:
19. 13 20. 9 21. 12 22. 21
Step-by-step explanation:
Find a Point-Slope equation for a line containing the given point and having the given slope.
(5, -1), m =1/5
Answer:
The point-slope equation for a line is:
[tex]y-\left(-1\right)=\frac{1}{5}\left(x-5\right)[/tex]
Step-by-step explanation:
Given
The point = (5, -1)m = 1/5We know that the point-slope form is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line
substituting the values m = 1/5 and the point (5, -1)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-1\right)=\frac{1}{5}\left(x-5\right)[/tex]
Thus, the point-slope equation for a line is:
[tex]y-\left(-1\right)=\frac{1}{5}\left(x-5\right)[/tex]
Find the area........................
Answer:
42
Step-by-step explanation:
1/2(4 x 5) + (8 x 4) = 42
9 cm. 12 cm. 15 cm
Is this a right triangle or not a right triangle
Answer:
It is a right triangle.
Step-by-step explanation:
bro isnt that a scalene triangle
If m is a multiple of 20 then m is also a multiple of 10 true or false
A parabola can be drawn given a focus of (-4, -5) and a directrix of y=3. Write the equation of the parabola in any form.
Answer:
The equation of the parabola is (x + 4)² = -16(y + 1)
Step-by-step explanation:
The standard form of the equation of the parabola is (x - h)² = 4p(y - k), where
The vertex of the parabola is (h, k)The focus is (h, k + p)The directrix is at y = k - p∵ The focus at (-4, -5)
∴ h = -4
∴ k + p = -5 ⇒ (1)
∵ The directrix at y = 3
∴ k - p = 3 ⇒ (2)
→ Add equations (1) and (2) to find k
∴ 2k = -2
→ Divide both sides by 2 to find k
∴ k = -1
→ Substitute it in equation (1) to find p
∵ -1 + p = -5
→ Add both sides by 1
∴ -1 + 1 + p = -5 + 1
∴ p = -4
→ Substitute the values of h, k, and p in the formula above
∵ (x - -4)² = 4(-4)(y - -1)
∴ (x + 4)² = -16(y + 1)
∴ The equation of the parabola is (x + 4)² = -16(y + 1)
Henry is using a total of 16 ft. of lumber to make a bookcase. The left and right sides of the bookcase are each
4 ft. high. The top, bottom, and two shelves are all the same length, labeled S. How long is each shelf?
Answer: Each shelf is 2ft
Step-by-step explanation:
16 = (2 x 4) + 4s
16 = 8 + 4s
8 = 4s (subtract 8 from both sides)
8/4 = 4s/4 (divide both sides by 4)
2 = s
log16^*+log4^*+log2^*=7
Answer:
[tex]x = 16[/tex]
Step-by-step explanation:
Given
[tex]log_{16}(x) + log_4(x) + log_2(x) = 7[/tex]
Required
Solve for x
[tex]log_{16}(x) + log_4(x) + log_2(x) = 7[/tex]
Change base of 16 and base of 4 to base 2
[tex]\frac{log_2(x)}{log_2(16)} + \frac{log_2(x)}{log_2(4)} + log_2(x) = 7[/tex]
Express 16 and 4 as 2^4 and 2^2 respectively
[tex]\frac{log_2(x)}{log_2(2^4)} + \frac{log_2(x)}{log_2(2^2)} + log_2(x) = 7[/tex]
The above can be rewritten as:
[tex]\frac{log_2(x)}{4log_22} + \frac{log_2(x)}{2log_22} + log_2(x) = 7[/tex]
[tex]log_22 = 1[/tex]
So, we have:
[tex]\frac{log_2(x)}{4*1} + \frac{log_2(x)}{2*1} + log_2(x) = 7[/tex]
[tex]\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x) = 7[/tex]
Multiply through by 4
[tex]4(\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x)) = 7 * 4[/tex]
[tex]log_2(x) + 2}log_2(x) + 4log_2(x) = 28[/tex]
[tex]7log_2(x) = 28[/tex]
Divide through by 7
[tex]\frac{7log_2(x)}{7} = \frac{28}{7}[/tex]
[tex]log_2(x) = 4[/tex]
Apply the following law of logarithm:
If [tex]log_ab = c[/tex] Then [tex]b = a^c[/tex]
So, we have:
[tex]x = 2^4[/tex]
[tex]x = 16[/tex]
the solution of 3x+5=x+9 is ____
Answer:
x=2
Step-by-step explanation:
move x to the 3x side and move 5 to 9 side.
you get 2x=4
then you divide 2 from both sides and get 2
Answer:
x=2
Step-by-step explanation:
•Original Expression;
3x+5=x+9
•Group like terms;
3x-x=9-5
•Simplify
3x-x
=2x
Then
9-5
=4
Which is going to be;
2x=4
•Divide both sides by 2 to find x
4 can be divided by 2 two times so;
x=2
En una tienda se anuncia la rebaja de 20% en todos sus artículos. Rafael elije una camisa y al llegar a la caja le informan que esa camisa, por traer etiqueta roja, cuenta con un descuento adicional del 15%. Si Rafael pago $510.00, ¿cual era él precio de la camisa sin los descuentos?
9514 1404 393
Answer:
$750
Step-by-step explanation:
The 20% discount multiplies the price by (1 - 20%) = 0.80.
The 15% discount multiplies the price by (1 - 15%) = 0.85.
After applying the discounts to the initial price P, we have ...
P(0.80)(0.85) = $510
P = $510/(0.80·0.85) = $750
The price before discounts was $750.
A stadium has direct staffing costs of $108,000. Overhead costs (social security, medicare, worker's compensation, etc.) cost the stadium an additional 15%. What is the total staffing cost?
9514 1404 393
Answer:
$124,200
Step-by-step explanation:
We have ...
staffing cost = (direct cost) + 0.15·(direct cost)
staffing cost = (direct cost) · 1.15 = ($108,000)(1.15)
staffing cost = $124,200
I'm not understanding
Answer:
D. x = 3
Step-by-step explanation:
We would like to find out for what value of x does f(x) = g(x). This is essentially the same as asking us to find the x-value for which f(x) = k, where k is some number, and g(x) = k, as well.
Looking at the two tables provided, we notice that when x = 3, both f(x) and g(x) equal -2. So, the answer is D.
In the sixth grade, 54% of the students are boys. There are 189 boys in the sixth grade. What is the total number of students in sixth grade? A. 54 B. 161 C. 189 D. 350. (explain what did u do to get you're answer )
Answer:
D
Step-by-step explanation:
189 boys is 54%
x is 46%(100-54)
Cross multiply:
189*46%=54%*x
86.94=0.54x
x=161
189 boys 161 girls
350 altogether
So D
Hope this helps plz hit the crown :D
Mr. Harris has 54.8 acres of land. Mr. Fitz has 0.35 times as many acres as Mr. Harris has. How many acres of land does Mr. Fitz have?
Answer: 19.8 acres
Step-by-step explanation:
multiply 54.8 by .35 to get 19.18
Which of the following
Answer:
A
Step-by-step explanation:
please help with question. The answer choices are:
14
8
5
22
Answer:
14
Step-by-step explanation:
If AC = 24, you just have to subtract AB = 10 from AC to find BC.
24 - 10 = 14
For what value of k will the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent?
Answer:
After solve the equations we get value of k=3
Step-by-step explanation:
We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.
If the lines are concurrent, they pass through same point.
Let:
[tex]x+2y=0--eq(1)\\ 3x-4y-10=0--eq(2)\\ 5x+ky-7=0--eq(3)[/tex]
First solving equation 1 and 2 to find values of x and y
From eq(1) we find value of x and put it in eq(2)
[tex]From \ eq(1) x+2y=0\\x=-2y\\Put x=-2y \ in \ eq(2)\\3x-4y-10=0\\3(-2y)-4y-10=0 \\-6y-4y=10\\-10y=10\\y=\frac{10}{-10}\\y=-1[/tex]
After solving we get value of y=-1
Now putting in eq(1) to get value of x
[tex]x+2y=0\\x+2(-1)=0\\x-2=0\\x=2[/tex]
So, Value of x= 2
Now put value of x=2 and y=-1 into eq(3) to find value of k
[tex]5x+ky-7=0\\5(2)+k(-1)-7=0\\10-k-7=0\\-k+3=0\\-k=-3\\k=3[/tex]
So, After solve the equations we get value of k=3
True or False, repeated decimals are all Rational Numbers!
A. True
B. False
Answer:
The answer is A: True
Step-by-step explanation:
Repeating decimals are rational numbers because there is only one number that's repeating over and over again.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Please answer this ASAP
9514 1404 393
Explanation:
1. ∠BAC ≅ ∠BCA, BD ≅ BE, ∆BDA and ∆BEC are right triangles . . . . given
2. ∆ABC is isosceles . . . . definition of isosceles triangle
3. BA ≅ BC . . . . definition of isosceles triangle
4. ∆BDA ≅ ∆BEC . . . . HL theorem
5. AC ≅ CE . . . . CPCTC
