Answer:
x = 250,000
Step-by-step explanation:
A = P(1 + rt)
550,000 = x (1 +2% x 60)
550,000/(1 +2% x 60) = 250,000
x = 250,000
Check your answer
A = 250,000 (1+2%x60)
A = 550,000
pls mark brainliest
Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two over three the distance from point P to point R
Answer:
7/3
Step-by-step explanation:
The distances have the ratio ...
(Q -P) = (2/3)(R -P)
Q = P +(2/3)R -(2/3)P = (2R +P)/3
Qy = (2Ry +Py)/3 = (2·0 +7)/3 = 7/3
Which of the following correctly uses exponents to write "6 factors of 2"? A.62 B.26 C.6 ∙ 2 D.12
2m ∙ 2n would be the same as _____.
A.2m + n B.2m - n C.2mn D.4mn
23^0 is equal to _____.
A.0 B.1 C.23 D.1/23
Step-by-step explanation:
1. 6 factors of 2 means, 2 multiplied by itself 6 times. It can be written in the form of exponents as 2⁶.
2. [tex]2^m{\cdot} 2^n[/tex]
The law of exponent is : [tex]x^a{\cdot} x^b=x^{a+b}[/tex]
So,
[tex]2^m{\cdot} 2^n=2^{m+n}[/tex]
The correct option is (A).
3. If the power of any number is 0, then the value of that number is equal to 1.
So,
[tex]23^0=1[/tex]
Hence, this is the required solution.
a chemist is in 357 mL of a solution of acid and water. if 16.9% of the solution is acid, how many milliliters of acid are there? round your answer to the nearest tenth.
Answer:
The quantity of acid in the solution is 47.1 ml.
Step-by-step explanation:
Which of the following functions describes the sequence 4, –2, 1, –12, 14, . . .? A. f(1) = 4, f(n + 1) = –2f(n) for n ≥ 1 B. f(1) = 4, f(n + 1) = f(n) – 2 for n ≥ 1 C. f(1) = 4, f(n) = 12f(n + 1) for n > 1 D. f(1) = 4, f(n) = –12f(n – 1) for n > 1
Answer: D. [tex] f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n) [/tex]
Step-by-step explanation:
The given sequence: [tex]4, -2,1,\dfrac{-1}{2},\dfrac14,....[/tex]
Here, first term: [tex]f(1)=4[/tex]
Second term: [tex]f(2)=-2[/tex]
Third term : [tex]f(3)=\dfrac{-1}{2}[/tex]
It can be observed that it is neither increasing nor decreasing sequence but having the common ratio.
Common ratio: [tex]r=\dfrac{f(2)}{f(1)}=\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]
So, [tex]f(n+1)=\dfrac{-1}{2}f(n)[/tex] [as in G.P. nth term= [tex]a_{n+1}=ar^n[/tex]]
Hence, correct option is D. [tex] f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n) [/tex]
«
-7 1/3 written as a fraction is
Answer:
-22/3
Step-by-step explanation:
-22/3 is the answer as a improper fraction.
Step 1
Multiply the denominator by the whole number
3 × 7 = 21
Step 2
Add the answer from Step 1 to the numerator
21 + 1 = 22
Step 3.
Write answer from Step 2 over the denominator
22/3
Answer:
-22/3
Step-by-step explanation:
7x3= 21
Which Natural Numbers are not Integers?
Answer:
Step-by-step explanation:
fraction are not integers
3/2x+1 = 13
find x.
What is x?
Answer:
8
Step-by-step explanation:
Please write this as (3/2)x + 1 = 13.
Start the process of solving for x by subtracting 1 from both sides:
(3/2)x = 12
Eliminate the fractional coefficient by multiplying both sides by 2/3:
(2/3)(3/2)x = (2/3)(12), or
x = 8
In a city, the record monthly high temperature for March is 56 degrees Fahrenheit. The record monthly low temperature is -4 degrees Fahrenheit. What Is the range of temperature for March?
Answer:
60 degrees.
Step-by-step explanation:
In mathematics, a "range" is described as the difference between the lowest and highest numbers in a data set. To find the range, we must subtract. (This is what the word "difference" indicates in math)
56 - (-4) =
56 + 4 = 60 (the negative signs cancel out)
Thus, the range of temperature for March is 60 degrees :) Hope this helped!
God bless and stay safe.
QS bisects PQR. If PQS = 5x and RQS = 2x + 6, then what is PQR?
m PQR is____
HELP PLEASE
Answer:
20°
Step-by-step explanation:
i just did it. got it correct
Someone help me solve this expression please
Step-by-step explanation:
To solve, we have to remember PEMDAS (Parenthesis, Exponent, Multiply / Divide, Add or Subtract).
Here, the curly brackets act as parenthesis, so we solve that first.
• 3 + 7 = 10
Then, we multiply by 4.
• 10 • 4 = 40
Finally, we add 6 to 40.
• 40 + 6 = 46.
Our final answer: 46
Answer:
46
Step-by-step explanation:
We are asked to evaluate the expression. Remember to solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
[tex]6+4 * (3+7)[/tex]
Solve inside the parentheses. Add 3 and 7.
⇒3+7=10
[tex]6+4*(10)[/tex]
Multiply 4 and 10.
⇒4*10=40
[tex]6+40[/tex]
Add 6 and 40.
⇒6+40=46
[tex]46[/tex]
When the expression 6+4*(3+7) is evaluated, the result is 46.
Find the product. √3(5+√2) A)5√3+√5 B)5√3+√6 C)5√9 D)√15+√6
Answer:
B. [tex] 5 \sqrt{3} + \sqrt{6} [/tex]
Step-by-step explanation:
[tex] \huge\sqrt{3} (5 + \sqrt{2} ) = 5 \sqrt{3} + \sqrt{6} [/tex]
X-32>32+9x Thx help ASAP
Answer:
Step-by-step explanation:
hello :
x-32>32+9x
means : x-9x>32+32
-8x >64
dvid by :8 -x >8 .......continu
Which of the following is an irrational number? (1 point)
OO
O 0.100100010000...
14
O
O 1,483,292
Answer:
0.100100010000...
Step-by-step explanation:
becoz in irrational numbers decimal goes on forever
If you had 6 million dollar and you divided that by 1 billion what would you get. Then once you find that multiply your answer by 10. What do you get.
Answer: You get 0.06 which is 6 cents in terms of money.
Step-by-step explanation:
6 millions could be written as 6,000,000 and 1 billion could also be written as 1,000,000,000 so using this set up a fraction to divide it.
[tex]\frac{6000000}{1,000,000,000}[/tex] = 0.006
0.006 * 10 = 0.06
whats 20 x 213 =? REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
4260
Step-by-step explanation:
Answer:
4260
Step-by-step explanation:
For altitudes up to 36,000 feet, the relationship between ground temperature and atmospheric
temperature can be described by the formula t = -0.0035a +g, in which t is the atmospheric
temperature in degrees Fahrenheit, a is the altitude, in feet, at which the atmospheric temperature is
measured, and g is the ground temperature in degrees Fahrenheit. Solve the equation for a. If the
atmospheric temperature is -17.4°F and the ground temperature is 40 °F, what is the altitude?
The equation for a is a =
If the atmospheric temperature is -17.4 °F and the ground temperature is 40 °F, then
a= feet.
Answer:
a=16400 feet
Step-by-step explanation:
t = -0.0035 a +g
-17.40 = -0.0035 a+40
-17.40-40=-0.0035a+40-40
-57.40=-0.0035a
a = -57.40/-0.0035
a=16400 feet
Six times the square of a number.
Answer:
6(x^2)
Step-by-step explanation:
The square of a number is x^2 and then you multiply that by six so it has to have parenthesis
Stronomers estimate the internal temperature of the sun is 15,000,000 K. What is 15,000,000 written in scientific notation? 1.5 x 10^8 1.5 x 10^8 1.5 x 1^7 1.5 x 1^7 1.5 x 1^6 1.5 x 1^6 1.5 x 1^ 5
Answer:
Scientific notation for 15,000,000
[tex] = 1.5 \times {10}^{7} [/tex]
If the marked price of an article is Rs. x, discount amount is
Rs. y and the VAT amount is Rs. 2, Calculate the selling
price of the article including VAT.
Answer:
Rs. (x - y + 2)
Step-by-step explanation:
The marked price is the price that a product is to be sold. The product can be sold at a discount which is below the marked price of the product.
The marked price of the article is Rs. X. The discount is Rs. y, therefore the article price = marked price - discount = x - y.
But since the article is sold with a VAT of Rs. 2, the VAT is added to the price, therefore the selling price of the article including VAT is Rs. (x - y + 2)
What is the domain and range of..... please help
Answer:
For domain,
9-x2>=0
or,(x+3)(x-3)<=0
using wavy curve method,we get
Domain=[-3,3]
As domain matches only in first option,so the correct option is option first
The San Andreas fault separates the pacific plates from the North America plate. The pacific plate moved northward relative to the North American plate at a rate of 5.7 cm/year. Currently LA and San Francisco are about 470km away from each other, how long will it take for LA and SF to be next to each other? Answer in years
Answer:
8.2 million years
Step-by-step explanation:
The time can be found from ...
time = distance/speed
time = (47.0×10^4 m)/(5.7×10^-2 m/yr) = 8.2×10^6 yr
It will take about 8.2 million years for LA to have the same latitude as SF.
__
The given numbers each have 2 significant digits, so the answer is appropriately rounded to 2 significant digits.
Solve the equation. 1/4 + w = 6 1/3
Answer:
6.08333....
Step-by-step explanation:
.25 +w = 19/3
19/3=6.3333
6.3333-.25=6.08333....
Check:
.25+6.08333....=6.3333...
I need help to solve this please help me...
Your question has been heard loud and clear/
we know,
4cos³x = 3cosx + cos3x
put here, x = 20°
then, 4cos³20° = 3cos20° + cos3 × 20°
= 3cos20° + cos60°
cos³20° = (3cos20° + cos60°)/4 -------(1)
similarly ,
4sin³x = 3sinx - sin3x
put here, x = 10°
4sin³10° = 3sin10° - sin30°
sin³10° = (3sin10° - sin30°)/4 -----------(2)
now,
LHS = cos³20° + sin³10°
put equations (1) and (2)
= 1/4(3cos20° + cos60°) + 1/4 ( 3sin10° - sin30°)
= 1/4( 3cos20° + cos60° + 3sin10° - sin30°)
we know,
cos60° = sin30° = 1/2
= 1/4 ( 3cos20° + 3sin10°)
= 3/4(cos20° + sin10°) = RHS
hence proved
Thank you
Answer: see proof below
Step-by-step explanation:
Use the following identities & Unit Circle calculations:
4cos³x = 3cos x + cos 3x
--> cos³x = (1/4)[3cos x + cos 3x]
4sin³x = 3sin x - sin 3x
--> sin³x = (1/4)[3sin x - sin 3x]
cos 60° = sin 30° = (1/2)
Proof: LHS → RHS
Given: cos³ 20° + sin³ 10°
Triple Angle Identity: (1/4)[3cos 20° + cos 3·20°] + (1/4)[3sin 10° - sin 3·10°]
Simplify: (1/4)[3cos 20° + cos 60° + 3sin 10° - sin 30°]
(1/4)[3cos 20° + (1/2) + 3sin 10° - (1/2)]
(1/4)[3cos 20° + 3sin 10°]
Factor: (3/4)[cos 20° + sin 10°]
Proven: (3/4)[cos 20° + sin 10°] = (3/4)[cos 20° + sin 10°] [tex]\checkmark[/tex]
please help :) Which expression is equal to 6+4×5 ? A 10 times 5 B 6 plus 20 C 6 plus 9
Answer:
B)
Step-by-step explanation:
6 + 4*5 = 6 + 20
= 26
According to BODMAS, multiplication should be done and then addition
Answer:
B
Step-by-step explanation:
By pemdas - multiplication first
6+4x5
6+(20)
so, b - 6 + 20 is the answer
The line $x = 4$ is an axis of symmetry of the graph of $y = ax^2 + bx + c.$ Find $\frac{b}{a}$.
Answer: b/a = -8
Step-by-step explanation:
When we have a quadratic equation:
y = a*x^2 + b*x + c.
The vertex of this function (and the axis of symetry) is located at:
x = -b/2a
Now, we know that the axis of symmetry is at x = 4.
then we have:
4 = -b/2a
And we want to find b/a.
Then we start with:
-b/2a = 4.
first we multiply by 2 in each side:
2*(-b/2a) = -b/a = 2*4 = 8.
now we multiply by -1 in each side:
-1*(-b/a) = b/a = -1*8.
Then we have: b/a = -8
The gas tank of Tyrell's truck holds 19.8. Gallons. When the tank is empty, Tyrell fills it with gas that costs $3.65 per gallon. About how much will it cost to fill the tank?
Solve for x:
5x – 1 = x+ 27
Hey mate!
Question:
5x – 1 = x+ 27
Answer:
x=7
Step-by-step explanation:
Step 1:
5x-x=27+1
Step 2:
4x=28
step 3:
x=28÷4
step 4:
x=7
hope it helped you:)
Lisa flips 2 fair coins.
What is the probability of obtaining two tails?
Give your answer in its simplest form.
When Lisa flips 2 fair coins, the probability of obtaining two tails is 1/4.
What is probability ?Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.
Given that,
Number of coins flips by Lisa = 2,
To find the probability of obtaining two tales,
The sample pace of flipping two coins = {(H, H), (H, T), (T, H), (T, T)}
The tale on both coins can come one time.
So the probability = number of favorable outcome / total observation
= 1 / 4
The required probability of obtaining two tails is 1 /4.
To know more about Probability on:
https://brainly.com/question/12478394
#SPJ3
How can you rewrite 12
−
− (-5) as an addition problem?
Answer:
12+5
Step-by-step explanation:
negative times negative is postive
10. While at the beach, Daniel buys lunch for
his family from a food stand. He purchases
one hot dog for $2.50 and 3 hamburgers. If he
spent $ 13 total, write and solve an equation to
find h, the amount each hamburger cost.
Answer: Each hamburger cost $3.50
Step-by-step explanation:
He spent $13 in total and bought one hot dog for $2.50 and 3 hamburgers but we don't know the price of one hamburger so we could represent it by the equation,
2.50 + 3h = 13 Now solve for x
-2.50 2.50
3h = 10.50
h = 3.50
Check:
2.50 + 3(3.50) = 13
2.50 + 10.50 = 13
13= 13