Answer:
the answer is
Step-by-step explanation:
The simple interest is calculated only on the principal amount of a loan so it is relatively easier to calculate than the compound interest. The compound interest is calculated on the principle amount plus the interest that the amount gets per compounding period up to the period of the loan.
What is 11 divided by 1/4
Which is an x-intercept of the graph of the
Answer:
(5π/8, 0)
Step-by-step explanation:
x intercept occurs when y = 0
0 = tan(x - 5π/8)
as tan0 = 0
x - 5π/8 = 0
x = 5π/8
The low temperature on a certain day is 56°F. The low temperature is 14°F lower than the high temperature, h. Which equation can be used to find the high temperature for that day? o 56 = h – 14 Oh + 56 = 14 O 56 = 14h 0 56 = h + 14 WHOEVER ANSWER GETS BRAINLESS NEED HELP
Answer: 1.09
Step-by-step explanation:
5) Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With dimension as in Figure 5:
(a) Find a formula for the speed of the wagon in terms of q and the variable x in the figure.
(b) Find the speed of the wagon when x=0.6 if q=0.5 m/s.
The formula for the speed of the wagon can be found by using Pythagoras theorem, and chain rule of differentiation.
[tex](a) \ \mathrm{The \ speed \ of \ the \ wagon} , \ \dfrac{dx}{dt} = q -\dfrac{x}{\sqrt{x^2+ 5.76}}[/tex]
(b) When x = 0.6 and q = 0.5 m/s, the speed of the wagon is approximately 0.243 m/s.
Reasons:
(a) The distance from the cart to the pulley, r is given by Pythagoras's
theorem as follows;
r = √((3 - 0.6)² + x²) = √(2.4² + x²)
The speed of the wagon = [tex]\mathbf{\dfrac{dx}{dt}}[/tex]
The speed of the rope, q = [tex]\mathbf{\dfrac{dr}{dt}}[/tex]
By chain rule, we have;
[tex]\dfrac{dr}{dt} = \mathbf{\dfrac{dr}{dx} + \dfrac{dx}{dt}}[/tex]
[tex]\dfrac{dr}{dx} = \dfrac{x}{\sqrt{x^2+ 5.76}}[/tex]
Therefore;
[tex]\dfrac{dr}{dt} = q =\dfrac{x}{\sqrt{x^2+ 5.76}}+ \dfrac{dx}{dt}[/tex]
[tex]\mathrm{The \ speed \ of \ the \ wagon} , \ \dfrac{dx}{dt} = \underline{ q -\dfrac{x}{\sqrt{x^2+ 5.76}}}[/tex]
(b) The speed of the wagon when x = 0.6 if q = 0.5 m/s is given as follows;
[tex]\dfrac{dx}{dt} = 0.5 -\dfrac{0.6}{\sqrt{0.6^2+ 5.76}} =\sqrt{\dfrac{1}{17} } \approx 0.243[/tex]
The speed of the wagon when x = 0.6 and q = 0.5 m/s, [tex]\dfrac{dx}{dt}[/tex] ≈ 0.243 m/s
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Alexander Litvinenko was poisoned with 10 micrograms of the radioactive substance Polonium-210. Since radioactive decay follows a compounded continuously model, we can determine the amount of substance left in Alexander Litvinenko's body at any given time. If Polonium-210 has a decay rate of .502%, then determine the amount of Polonium-210 left in his body after 40 days. Provide 3 decimal places and units in your answer.
Compounded continuously model are evaluated using exponential functions
There are 8.177 bacteria left after 40 days
The given parameters are:
[tex]\mathbf{a = 10}[/tex] --- the initial number of bacteria
[tex]\mathbf{r = 0.502\%}[/tex] --- the decay rate
[tex]\mathbf{n = 40}[/tex] --- the number of days
The amount of bacteria left each day is calculated using:
[tex]\mathbf{T_n = a \times (1 - r)^n}[/tex]
So, we have:
[tex]\mathbf{T_{40} = 10 \times (1 - 0.502\%)^{40}}[/tex]
Express percentage as decimal
[tex]\mathbf{T_{40} = 10 \times (1 - 0.00502)^{40}}[/tex]
Simplify the expression in bracket
[tex]\mathbf{T_{40} = 10 \times 0.99498^{40}}[/tex]
Evaluate
[tex]\mathbf{T_{40} = 8.1766}[/tex]
Approximate
[tex]\mathbf{T_{40} = 8.177}[/tex]
Hence, there are 8.177 bacteria left after 40 days
Read more about compounded continuously model at:
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What is the perimeter of a rectangle with a length of 11.25 inches and a
width of 8 inches?
Answer:
38.5 in
Step-by-step explanation:
11.25 in + 11.25 in + 8 in + 8 in
= 38.5 in
$200 is shared between Bill and Ann. Ann’s share is $50 more than Bill’s share. Calculate the size of each of their shares.
First subtract the difference between the two:
200 - 50 = 150
Now divide that by 2:
150/2 = 75
Bills share is $75
Now add the $50 to 75 to get Ann's share:
75 + 50 = $125
Ann's share is $125
Bill's share is $75
Which distance formula or formulas show(s) a joint variation?
Answer:
II and III only
Step-by-step explanation:
One variable quantity is said to vary jointly as a number of other variable quantities, when it varies directly as their product.
A hummingbird lives in a nest that is 12 meters high in a tree. The hummingbird flies 15
meters to get from its nest to a flower on the ground. How far is the flower from the base of
the tree?
Answer:
The flower is 9 meters from the base of the tree.
Step-by-step explanation:
Use the Pythagorean theorem to solve. We are given the length of one leg and the length of the hypotenuse of a right triangle.
[tex]a^{2} +b^{2} =c^{2}[/tex]
where a and b are the legs, and c is the hypotenuse.
Plug in the given values and solve:
[tex]x^{2} +12^{2} =15^{2} \\x^{2} +144=255\\x^{2} =81\\x=9[/tex]
The flower is 9 meters from the base of the tree.
Tom is reviewing his cell phone bill. When he gets to the text message part he notices that he send 1 text message in October,7 text messages in November, 49 messages in December,and 343 text messages in January. what kind of sequence is this?
a. arithmetic b. geometric c. both d. neither
Answer:
it is c. both i guess anyways thanks
i hope you passed and sorry for taking your points
Step-by-step explanation:
Two numbers have a sum of 18. Their product is 72. Find the numbers
Answer:
Step-by-step explanation:
x + y = 18
y = 18 - x
xy = 72
x(18 - x) = 72
-x² + 18x = 72
0 = 72 - 18x + x²
x = (18 ± √(18² - 4(1)(72))) / (2(1))
x = (18 ± 6)/2
x = 12
x = 6
Find the additive inverse and the multiplicative inverse, if it exists, of the given number. 5 in modulo 8 arithmetic
The additive inverse of 5 modulo 8 is the number a such that
5 + a ≡ 0 (mod 8)
Then
a ≡ -5 ≡ -5 + 8 ≡ 3 (mod 8)
The multiplicative inverse is m such that
5m ≡ 1 (mod 8)
Use the Euclidean algorithm:
8 = 1•5 + 3
5 = 1•3 + 2
3 = 1•2 + 1
Then
1 = 3 - 1•2
1 = 3 - 1•(5 - 1•3) = 2•3 - 1•5
1 = 2•(8 - 1•5) - 1•5 = 2•8 - 3•5
and so
1 ≡ 2•8 - 3•5 ≡ (-3)•5 (mod 8)
which means the inverse of 5 is
-3 ≡ 8 - 3 ≡ 5 (mod 8)
2x+3-3=-6
x=3 ? Solve
[tex]2(x)+3-3=-6\\2(3)+3-3=-6\\6+3-3=-6\\6=-6\\[/tex]
[tex]x\neq 3[/tex]
As we can see, x cannot be equal to 3 as 6 cannot equal -6.
I hope I've helped! :)
Which choice is equivalent to the expression below?
5 SQR7-4x SQR7-xSQR7
A. 0
B.-2xSQR7
C.-X^2
D. 5 SQR 7 -5xSQR7
I think is the B, tell me if it's correct OK i'm trying to help
Answer:
5√7-5x√7
Step-by-step explanation:
Find the slope of the line that passes through:
(6,7) and (4,2)
Answer:
5/2
Step-by-step explanation:
Slope = Change in y/Change in x
Slope = 2 - 7/4 - 6
Slope = -5/-2
Slope = 5/2
-Chetan K
For the two numbers listed, find two factors of the first number such that their product is the first number and their sum is the second number -12,-1
A bag of sugar weighs 6²/⁵. What is the weight of 6¹/⁴ of such bag?
How many two thirds are there in 4¹/³?
Answer:
6 and a half 2 thirds are in 4 1/3
Step-by-step explanation:
2/3x=13/3
2x=13
x=6.5
find measurement 1 and 4
Answer:
the info they gave us is to suppose that angle 6 is = 126°
step 1:
We know that angle 8 = angle 6 = 126°
Why? — when a circle (360°) is split by 2 lines that intersect, there will be 2 equal pairs of angles formed
step 2:
angle 2 = angle 8 = 126°
Why? — they’re alternate angles
step 3:
angle 4 = angle 2
Why? — when a circle (360°) is split by 2 lines that intersect, there will be 2 equal pairs of angles formed
step 4:
angle 1 = 180-126 (angle 4) = 54°
Why? — total angles in a straight line = 180°
Key Term:
Alternate angles:
Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Alternate angles are equal: We can often spot interior alternate angles by drawing a Z shape: There are two different types of alternate angles, alternate interior angles and alternate exterior angles.
HELP i need what is 4 divided by 120000 telll me plz in tried the calculator but my parents blocked the calculator on me so plz help me
what is the equation of the line that is perpendicular to y=-1/4x-2 and goes through the point (-2,-3)
Step-by-step explanation:
y=-1/4x-2
1/4x+y+2=0.........1
line perpendicular to eqn 1 is
x-1/4y+k=0
as the line passes through the (-2,-3)
-2-1/4×-3+k=0
-1+4k=0
K=1/4
the eqn is 4x-y+1=0
The side of an equilateral triangle is 12. Its area is
Select one:
a. 72
b. 48
c. 144
d. 36 square root 3
A≈62.35
..................
Can someone tel me if the answers are correct ? Please
Answer:
huuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuh
simplify
21m^2−122m+112/9m^2−196
Answer:
3m-8/7m+14
Step-by-step explanation:
PLEASE HELP GIVING BRAINLIEST
Answer:
A.10,4
B.5,10
C.5,5
D4,4
Step-by-step explanation:
KERE ON LERNER?
What is the value of y in y = 2x - 5, when x = 3.9?
Answer:
Y = -3 and with x as 3.9 y equals 2.8
Step-by-step explanation:
Can some please help me I will mark u brilliant
Question 2: -4/3
Question 3: -7/20
If $2,940.00 is invested for 4 months at 3.8% simple interest:
What is the amount of interest earned?
Answer:
I = $372.40
Step-by-step explanation:
Given the principal amount of $2,940, which is invested for 4 months at 3.8% interest rate:
Use the following simple interest formula to solve for the interest earned:
I = P × r × t
where:
I = interest earned
P = principal amount invested = $2,940
r = interest rate = 3.8% or 0.380
t = time = 4/12 months = ⅓ or 0.3333
Substitute to given values into the simple interest formula:
I = P × r × t
I = $2,940 × 0.380 × 0.3333
I = $372.40
Therefore, the simple interest earned in 4 months is $372.40.
I need help with this math problem
Answer: The drill will reach -915 feet after 18 days.
Find the exact value of the expression below
Sec 30degrees Cos 30degrees - tan 60degrees cot 60degrees
Answer:
0
Step-by-step explanation:
1×2÷√(3)×√(3)÷2 - √(3)×1÷√(3)
1-1
0
for more refer to the image
At a sale this week, a desk is being sold for $285.60. This is 34% of the original price.
What is the original price?
well, let's say the original price is "x", which namely 100% of the price of the product, we also know that 285.60 is 34% of that.
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 285.60&34 \end{array}\implies \cfrac{x}{285.60}=\cfrac{100}{34}\implies \cfrac{x}{285.60}=\cfrac{50}{17} \\\\\\ 17x=14280\implies x = \cfrac{14280}{17}\implies x = 840[/tex]