If an investment has a 5% annual interest rate and it is compounded
monthly, how many years will it take to double in value?
Answer:
2 years
Step-by-step explanation:
If it is annunal I think it would be 2 years
5 x annual year (year) =2
Kate has a coin collection. She keeps 7 in a box, which is only 5% of her entire collection. What is the total number of coins in Kate’s coin collection?
Answer:
140
Step-by-step explanation:
5%/100 = 7/?
7 times 100 = 700
700 divided by 5 = 140 coins
Find the 9th partial sum of the geometric sequence an=43n–1.
Answer:
39364.
Step-by-step explanation:
I guess its an = 4*(3)^(n-1)
r = 3, a1 = 4 and n = 9
Sum of n terms = a1 * (r^n - 1) / (r - 1)
so S9 = 4 *(3^9 - 1) / (3 - 1)
= 4 * (19683 - 1) / 2
= 78728/2
= 39364.
Please help me with this!
Answer: Solve this problem using the angle bisector theorem. This theorem states that when given a triangle with an angle bisector (line that cuts one of the angles in half, into two of the same angles), that angle bisector divides the opposite side into two segment proportional to the sides of the triangle
expand and simplify (x+1)(x+9)
Expansion : [tex](x+1)(x+9) = x(x+9) + 1(x+9) = x^{2} +9x + x + 9[/tex]
Simplify : [tex]x^{2} +10x + 9[/tex]
Answer:
[tex]\huge\boxed{ \bf\:x^{2} + 10x + 9}[/tex]
Step-by-step explanation:
[tex](x + 1)(x+9)[/tex]
Let's expand it at first.
[tex](x + 1)(x + 9)\\= x (x + 9) + 1 (x + 9)\\= x^{2} + 9x + x + 9[/tex]
Now, simplify it.
[tex]x^{2} + x + x + 9\\= \boxed{ x^{2} + 10x + 9}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Calculate the constant difference
1,2,3
1
Step-by-step explanation:
Seeing its an arithmetic sequence
T1=1......T2=2.....T3=3
To get your constant difference
T2=T1 is also equals to T3=T2
so 3-2=1 and 2-1=1
therefore the constant difference is 1
solve for x
sin(2x)=sin(x)
Explain steps please
There are multiple possible solutions for x, two examples are x = 0° and x = 360°.
How to find the value of x?We need to solve the equation:
sin(2x) = sin(x)
Then we need to find a value x such that the sine of 2x is equal to the sine of x.
Now, because of the periodicity of the sine equation, there are a lot of possible values of x.
One example, trivial, is x = 0, this is because 2*0 = 0, then we would have:
sin(2*0) = sin(0)
sin(0) = sin(0).
Another case is if we take x = 360° (remember that 360° is the period of the sine function), then we can have:
sin(2*360°) = sin(360°)
sin(720°) = sin(360°) = 0
Then x = 360° is another solution.
If you want to learn more about the sine function, you can read:
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You are given the following system of equations: y:
- 13x + 85 and y = 15 + 4x . It is
known that this system of equations has two solutions. If the variable k represents the product of the two
×-values that satisfy the system, what is the value of k?
Answer:
70.
Step-by-step explanation:
1) to calculate the values of the 'x':
4x+15=x²-13x+85; ⇔ x²-17x+70=0; ⇔
x₁=7; x₂=10;
2) to calculate the required k:
k=x₁*x₂; k=7*10=70.
Tell whether the triangle with the given side lengths is a right triangle.
24 m, 45 m, 51 m
Yes or No
GIVING TONS OF BRAINLIEST IF YOUR ANSWER IS CORRECT!!
[tex]x-5=y, xy+4=0,[/tex] then what is [tex]4x^{2} +4y^{2}[/tex]
Answer:
68
Given:
x - 5 = y ........ eq 1xy + 4 = 0 ...... eq 2Substitute equation 1 into 2
x(x - 5) + 4 = 0x² - 5x + 4 = 0x² - 4x - x + 4 = 0x(x-4) -1(x-4) = 0(x-4)(x-1) = 0x = 1, 4Find y:
y = x - 5
y = 1 - 5 (when x is 1)
y = -4
========
y = x - 5
y = 4 - 5 (when x is 4)
y = -1
Then 4x² + 4y²:
4(1)² + 4(-4)²4 + 6468Answer:
68
Step-by-step explanation:
[tex]\textsf{Equation 1}:\:x-5=y[/tex]
[tex]\textsf{Equation 2}:\:xy+4=0[/tex]
Substitute Equation 1 into Equation 2:
[tex]\implies x(x-5)+4=0[/tex]
[tex]\implies x^2-5x+4=0[/tex]
Factorize:
[tex]\implies (x-1)(x-4)=0[/tex]
Therefore:
[tex]x=1, x=4[/tex]
Substitute found values of [tex]x[/tex] into Equation 1 and solve for [tex]y[/tex]:
[tex]x=1\implies 1-5=-4[/tex]
[tex]x=4\implies 4-5=-1[/tex]
Substitute found values into [tex]4x^2+4y^2[/tex] and solve:
[tex]\textsf{For}\:(1,-4)\implies 4(1)^2+4(-4)^2=68[/tex]
[tex]\textsf{For}\:(4,-1)\implies 4(4)^2+4(-1)^2=68[/tex]
Note: As [tex]4x^2+4y^2[/tex], the values of x and y can be interchanged, so no need to input both sets of ordered pairs into the equation to solve.
four friends each took different path walking from the lunchroom to the gymnasium
finish the question..............
Answer:
Part 1- Lydia
Step-by-step explanation:
The full question should be
Four friends each took a different path walking from the lunchroom to the gymnasium. The table shows the distance that each of them walked. Who walked the farthest?
Easy geometry need help tho.......25pts
Answer:
22 in.
Step-by-step explanation:
total volume= big thingy + long thingy
=>x=2.2.3+5.2=12+10=22
A glass jug can hold (p + 6) quarts less water than a plastic container, 2 glass jugs and
2 plastic containers contain 6p quarts of water in all
how much water can the plastic container hold? give your answer is terms of p.
Answer:
12
Step-by-step explanation:
collect the like terms and divide
(p+6)2×2=64p+24=6p1) Water in a plastic container, p'= 10 - 3 p
2) Water in a glass container = 27 quarts
Water in a plastic container = 1 quarts
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A glass jug can hold (p + 6) quarts less water than a plastic container, 2 glass jugs and 2 plastic containers contain 6p quarts of water in all.
Now,
Let j represents water in one glass jag while p' represents the water in one plastic container,
Hence, According to the question,
⇒ j - p' = 6p+8 --------(1)
And, 2j+2p'=56p --------(2)
2 × equation (1)
⇒ 2 j - 2 p' = 12p + 16 ---------(3)
Equation (2) + equation (3)
We get, 4 j = 12 p + 72
⇒ j = 3 p + 18
Putting this value in equation (1),
We get, 3p+18-p'=6p+8
p' = -3p + 10 = 10 - 3p
Thus, water in a plastic container, p'= 10 - 3 p
b) If p=3
Water in a glass container = 3 × 3 + 18 = 27 quarts
Water in a plastic container = 10 - 3 × 3 = 1 quarts
Learn more about the mathematical expression visit:
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#SPJ2
–2} -(-5) = 0
-
Can someone please help me
(-2)-(-5)=0
bit 2 minuses= + so:
-2+5=0
3=0
A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player has is 24, and the total number of points that the player has is 42, which system of equations can be used to determine the number of goals and assists the player has? Assume g represents the number of goals and a represents the number of assists.
g + a = 24. g + 2 a = 42.
g + a = 24. 2 g + a = 42.
g + a = 42. g + 2 a = 24.
g + a = 42. 2 g + a = 24.
Answer:
g + a = 24. 2 g + a = 42.
Step-by-step explanation:
Each goal gets 2 points and each assist gets 1 point
If # of goals = g , and you get 2 points for each goal, then points acquired by goals can be represented by 2g
If # of assists = a, and you get 1 point for each assist, then points acquired by assists can be represented by a
The total # of points the player had was 42. This means that 2g + a = 42 (this is the first equation)
We are also told the player scored a total of 24 goals and assists. If g = # of goals and a = of assists, then g + a = 24 (this is the second equations)
So the two equations are g + a = 24. 2 g + a = 42.
Answer:
g + a = 24. 2 g + a = 42.
Step-by-step explanation
trust
If a circle has a circumference of 36pie cm, what is the area?
Answer:324pie cm^2
Step-by-step explanation:
Find the perimeter of the cabin below.
the image is formed of a rectangle and a square
perimeter of the cabin = perimeter of rectangle + perimeter of square
= 2(l+b) + 4×side
= 2(7+5) + 4×5
= 24 + 20
perimeter of the cabin = 44 cm
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 500 grams and mass was decreasing by 8% per day. Determine the mass of the radioactive sample at the beginning of the 13th day of the experiment. Round to the nearest tenth (if necessary).
Using an exponential function, it is found that the mass of the radioactive sample at the beginning of the 13th day of the experiment was of 169.1 mg.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.At the beginning of the first day of the experiment the mass of the substance was 500 grams and mass was decreasing by 8% per day, hence A(0) = 500, r = 0.08, and the equation is given by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 500(1 - 0.08)^t[/tex]
[tex]A(t) = 500(0.92)^t[/tex]
At the 13th day, the mass is given by:
[tex]A(13) = 500(0.92)^{13} = 169.1[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
Fill in the table using this function rule
y=4x-12
Steve drove 130 miles from Portland to Tacoma in 2 hours. If he continues to drive at the same speed, how long will it take him to drive 390? IS IT PROPORTIONAL
1. The mode is the number you see
1. most
2. least
3. first
4. don't see
Mode is the number that is shown the most.
Answer: 1. Most
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
6.3 :)
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Now lets solve!!!
3^2 + b^2 = 7^2
9 + b^2 = 49
Now we subtract!!
49 - 9 = b^2
40 = b^2
Now we need to find the square root!!
[tex]\sqrt{40}[/tex] = 6.3
Have an amazing day!!
Please rate and mark brainliest!!!
(6.1D; 6.1F)
-
1. Which expression is equivalent to 32?
A 23 + (4) – 4 x 2
B 3x3 + (42) - 4
C 42 – 7x0
+
-
D 4x 5 + 2 – 4 + 2
Hey there!
Option A.
23 + (4) - 4 * 2
= 23 + 4 - 4 * 2
= 27 - 4(2)
= 27 - 8
= 19
19 ≠ 32
Option B.
3 * 3 + (42) - 4
= 3 * 3 + 42 - 4
= 9 + 42 - 4
= 51 - 4
= 47
47 ≠ 32
Option C.
42 - 7 * 0
= 42 - 0
= 42
42 ≠ 32
Option D.
4 * 5 + 2 - 4 + 2
= 20 + 2 - 4 + 2
= 22 - 4 + 2
= 18 + 2
= 20
20 ≠ 32
None of them are equivalent to 32
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A child runs 200 meters in 40 seconds. Calculate the average speed of the child in m/s
The relationship between women's whole
number shoe sizes and foot length forms an
arithmetic sequence, where is the foot
length in inches that corresponds to a shoe
size of n. A women's size 3 lits a foot 8 inches
long and women's size 7 lits a fool
9
inches long
What is the common difference of the arithmetic
sequence?
Using arithmetic sequence concepts, it is found that the common difference is of 0.25.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem, we have that:
[tex]a_3 = 8, a_7 = 9[/tex]
Hence:
[tex]a_7 = a_3 + (7 - 3)d[/tex]
9 = 8 + 4d
4d = 1.
d = 0.25.
The common difference is of 0.25.
More can be learned about arithmetic sequence concepts at https://brainly.com/question/6561461
Which object will have more inertia? Object A that has a mass of 250 grams, Object B, that has a mass of 25,000 grams, or Object C that has a mass of 1,250,000 grams.
1.object a
2.b
3.c
4.all have the same
Answer:
3. Object C.
Step-by-step explanation:
The inertia of an object is the measure of the force required to set it in motion. For two objects to have the same motion, the one with the greater mass will require a proportionately greater force to achieve the same motion.
Object C, with a mass of 1,250,000 grams (1,250 kg) will have the greatest inertia.
To solve the equation x ^2 - 2x = 3 by the technique of completing the square, you would add 4 to each side of the equation as one of the steps to reaching the solution.
Answer:
x = -1
x = 3
Step-by-step explanation:
[tex]\sf x^2 - 2x = 3[/tex]
Add 1 to both sides:
[tex]\sf \implies x^2 - 2x+1 = 3+1[/tex]
Factor the left side:
[tex]\sf \implies (x-1)^2 = 4[/tex]
Square root both sides:
[tex]\sf \implies x-1 = \pm2[/tex]
Therefore:
[tex]\sf \implies x-1=-2 \implies x=-1[/tex]
[tex]\sf \implies x-1=2 \implies x=3[/tex]
Does the scenario describe an observational study or an experiment?
Which of the following measurements results in the largest circle?
A.
radius = 8 in.
B.
diameter = 8 in.
C.
area = 30 sq. in.
D.
circumference = 30 in.
Answer:
A
Step-by-step explanation:
A) r = 8
B) r = 4
C) r = [tex]\sqrt{\frac{30}{\pi } }[/tex] ~ 3.09
D) r = [tex]\frac{30}{2\pi} = \frac{15}{\pi } ~ 4.77[/tex]
Circle A has the largest radius, and thus is the largest circle
is f=9/5c+32 a linear function
Answer:
"a linear function has the form y = mx + b. "