The time taken is 5.3 years.
What is Compound Interest?Compound interest simply refers to the fact that an investment, loan, or bank account's interest accrues exponentially over time as opposed to linearly over time. The word "compound" is crucial here.
Compound interest is when you receive interest on both your interest income and your savings.
Given:
P = 50, 000
W= 5000
r= 1.8%= 0.018
n= 2
Using, P = W (1- [tex](1+ r/n)^{-nt}[/tex]) / (r/n)
Putting all the values we get
P = W (1- [tex](1+ r/n)^{-nt}[/tex]) / (r/n)
50000 = 5000 (1- [tex](1+0.018/2)^{-2t}[/tex]) / (0.018/2)
10 = (1- [tex](1+0.009)^{-2t}[/tex]) / (0.009)
0.09 = 1 - [tex](1.009)^{-2t[/tex]
[tex](1.009)^{-2t[/tex] = 0.91
Taking log on both side
-2t log 1.009 = log 0.91
t= log 0.91/ (log 0.091) / (-20
t= 5.3
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Amanda is sure she got the high score on a video game but she’s not sure what the number is
Answer:
Step-by-step explanation:
bro what...
2x-5y=8
5y=-2x+8
What Is the best way to describe the solution of this system of equations?
Answer: The solution of this system of equations is the ordered pair (x, y) that satisfies both equations. This can be found by solving for one variable in one equation and substituting that value into the other equation, or by using elimination or substitution methods. The solution can also be represented graphically as the point of intersection of the two lines represented by the equations.
Step-by-step explanation:
how do i turn x+y>1 into y=mx+b?
Put our equation back in the proper order after rearranging it to account for y.
How do I represent a slope-intercept form of an equation?The slope-intercept version of the equation x+y=2 should be created. All we need to do to change our equation from standard form to slope-intercept form is rearrange our terms to solve for y, and then double-check that they are in the right order. We must therefore deduct x from both sides of this equation in order to solve it. In the slope-intercept form, y=mx+b y = m x + b denotes the slope and the y-intercept, respectively.Put our equation back in the proper order after rearranging it to account for y.The slope-intercept version of the equation x+y=2 should be created. All we need to do to change our equation from standard form to slope-intercept form is rearrange our terms to solve for y, and then double-check that they are in the right order.To learn more about slope-intercept form refer to:
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Find the area and the circumference of a circle with diameter 9m.
Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.
The Area of the circle whose diameter is 9m is; 63.6255m²
The circumference of a circle whose diameter is 9m is; 28.278m.
What is the Area of the circle?As evident in the task content; the diameter of the circle is 9m.
Since the Area of a circle is given by;
A = πd² / 4
A = 3.142 × 9² / 4
A = 63.6255m²
The circumference of a circle is given by;
C = πd
C = 3.142 × 9
C = 28.278m.
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Solve the equation and enter the value of y below.
6y+ 3 = 45
Answer here
[B]
Therefore , the solution of the given problem of linear equation comes out to be y = 7.
The definition of a linear equation.A model of linear regression is one that applies the formula y=mx+b. B is the slope, and m is the y-intercept. Despite the fact because both y and x are distinct components, the previous sentence is frequently referred as a "mathematical formula with two variables." Bivariate linear equations only have two variables. The application domains of linear equations have zero solutions in all cases. The equation for a simple linear equation is Y=mx+b, where m stands for the slope and b for the y-intercept. Y=mx+b, where m stands for slopes and b for the y-intercept, is how the equation is expressed.
Here,
Given :
=> 6y + 3 = 45
=> 6y = 45-3
=> 6y = 42
=> y = 42/6
=> y = 7
Therefore , the solution of the given problem of linear equation comes out to be y = 7.
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[tex]6y+3=45[/tex]
Subtract 3 from both sides:
[tex]6y+3-3=45-3[/tex]
[tex]6y=42[/tex]
Divide both sides by 7:
[tex]\dfrac{6y}{6} =\dfrac{42}{6}[/tex]
[tex]\fbox{y = 7}[/tex]
IInvestments in debt securities classified as trading are reported on the balance sheet at
Investments in debt securities classified as trading are reported on the balance sheet at fair value and held to maturity securities.
What do you mean by the investments?
An asset or object acquired with the intention of creating income or recognition is referred to as an investment.
A purchase of products that are not consumed right away but will be utilized to create wealth down the road is referred to as an investment in an economic outlook.
Equity and debt investments that are recorded using the cost method are divided into three categories: trading securities, available-for-sale securities, and held-to-maturity securities for debt investments.
Unrealized gains and losses are reflected in net income each period for debt securities that are classed as trading and reported at fair value.
Therefore, Investments in debt securities classified as trading are reported on the balance sheet at fair value and held to maturity securities.
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what percentage is 1,580 of 1,738?
Answer:
100/1738*1580 = 90.9090909091
Step-by-step explanation:
A survey was conducted to find the possible relationship between age groups and the most favored of three book genres. The data is represented in the frequency table.
Answer: 176
Step-by-step explanation:
What can we do to create more energy?
A: Nothing, energy cannot be created or destroyed
B: destroy old energy and create new energy with power plants
C: Whenever energy changes from one form to another, more energy is created
To produce more energy, we do energy cannot be generated or destroyed but can only alter its forms.
Energy production and destruction are both possible.Energy can only be changed from one type of energy to another, according to the rule of conservation of energy, and cannot be created or destroyed. Accordingly, until additional energy is added from outside, a system always possesses the same amount of energy.Energy cannot be generated or destroyed but can only alter its forms. It is possible to transfer energy from one system to another, but it is not possible to create energy from scratch. The same holds true for energy; it cannot be destroyed by a system but can be transferred to another.To produce more energy, we do energy cannot be generated or destroyed but can only alter its forms.To learn more about energy refer to:
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Ill give brainliest for the answer
Answer:
m<3 is 95 degrees.
Step-by-step explanation:
m<2 is 55*, the other angle is 30* because 180-150 is 30, and so by process of elimination it is 95*
Hope this helps!
Answer:
m<3=95°
Step-by-step explanation:
m<2 is vertically opposite an angle of 55°, and since vertically opposite angles are equal, we can say m<2=55°.
The unmarked angle in the triangle containing m<2 and m<3 is on a straight line with an angle of 150°. Since the angles along a straight line add to 180°, this unmarked angle=180-150°=30°.
The angles in a triangle always add to 180°, so the sum of m<3, m<2 and the unmarked angle should be 180°:
m<3+55°+30°=180°
m<3+85°=180°
m<3=95°
Your business requests a 3-month loan for
$550,000. What will be the interest paid at the
end of the term if the business risk percentage is
assessed at 2.0% and LIBOR is at 2.8%?
interest paid = $ [?]
Round to the nearest hundredth.
Enter
PH
Skip
The interest paid on a loan can be calculated using the formula:
What does money interest mean?
You pay interest on any loans or borrowings of money. the portion of the loan's value that lenders use to calculate interest. Consumers can earn interest by lending money (via a bond or certificate of deposit, for example), or by putting money into an interest-bearing bank account.
Interest = Principal x Risk Percentage x Term (in months) x LIBOR
In this case, the principal is $550,000, the risk percentage is 2.0%, the term is 3 months, and LIBOR is 2.8%. So the interest paid at the end of the term is:
Interest = $550,000 x 2.0% x 3 x 2.8% = $15,660
Therefore, the interest paid at the end of the term is $15,660.
Note: I have used the risk percentage and LIBOR to calculate the interest rate which is (2.0%+2.8%) and then multiplied it with the principal and term to get the interest paid.
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Solve for the approximate solutions in the interval [0, 2m). List your answers separated by a comma, round to
two decimal places. If it has no real solutions, enter DNE.
As you probably know, trinomials of the form y=ax²+bx+c,a≠1 can be solved by finding two numbers that multiply to a×c and that add to b.
∴ Two numbers that multiply to −2 and that add to −1 are −2 and +1.
(2cos²θ−2cosθ)+(cosθ−1)=0
(2cosθ+1)(cosθ−1)=0
cosθ=−1/2andcosθ=1
By special angles:
θ=120˚,240˚and0˚,or3π/2+2nπ,4π/ 3+2nπ and 2nπ, n being an integer.
What is trinomals?A trinomial is an algebraic expression that has three terms. An algebraic expression consists of variables and constants of one or more terms. These expressions use symbols or operations as separators such as +, –, ×, and ÷. A trinomial along with monomial, binomial, and polynomial are categorized under this algebraic expression. Let us learn more about trinomials, factoring trinomials, the formula for factoring trinomials along solving a few examples.A trinomial is an algebraic expression that has three non-zero terms and has more than one variable in the expression. A trinomial is a type of polynomial but with three terms. A polynomial is an algebraic expression that has one or more terms and is written as a0xn + a1xn-1 + a2xn-2 + ... + anx0 in the standard form.To learn more about polynomial refer to:
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Given f(x)=3x^3+kx-13f(x)=3x^3 +kx−13, and x−1 is a factor of f(x), then what is the value of k?
The requried value of k in the equation is given as k = 10.
What is the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
f(x)=3x³+kx-13
x−1 is a factor of f(x)
So,
x - 1 = 0
x = 1 at x = 1, f(1) = 0
Put x = 1 in the given equation,
f(1)=3× 1³+k×1-13
0 = 3 + k - 13
k = 10
Thus, the requried value of k in the equation is given as k = 10.
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Dwight offers one-hour piano lessons
and one-hour guitar lessons. He works
10 hours a week in all. How many
different ways can he divide his time
giving lessons in both instruments?
He can split the 120 minutes he spends teaching both instruments into various ways.
what is unitary method ?The unit strategy is an approach to problem-solving that involves first figuring out the value of a single unit, then multiplying that value to figure out the required value. Simply described, the unit method is used to extract a single unit value from a specified multiple. For instance, 40 pens would cost 400 rupees, which is equal to the cost of one pen. This procedure might be standardized. one nation. anything has a distinctive element. Its adjoint and reciprocal are equal in terms of mathematics (algebra), linear algebra, mathematical analysis, or mathematics of matrices or operators.
given
Dwight gives hour-long piano and hour-long guitar classes, so he can divide his time in a variety of ways.
There are 60 minutes in an hour.
To convert from minutes to hours, divide the amount of minutes by 60. If 120/60=2, for instance, it signifies that 120 minutes are equivalent to 2 hours.
He can split the 120 minutes he spends teaching both instruments into various ways.
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In the solid below, all of the cross sections that are parallel to the base are squares. The PLSSSS HELPPPP. base measures 7 units X 7 units. The perpendicular height of the solid is 5 units. Use the dropdowns to complete the sentence below.
-Can or cannot
-all crosses sections or not all cross sections
v=? units³
The volume of the given diagram is 245 cubic units.
What is the volume of the cuboid?
A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. A cuboid is short for "like a cube." A cuboid is similar to a cube in that a cuboid can become a cube by varying the lengths of the edges or the angles between the faces.
Here, we have
Given: Base measures 7 units X 7 units. The perpendicular height of the solid is 5 units.
If we fix the base and plane.
Parallel to the base and make the inclined side parallel to the base then we will get a cuboid of dimension 7×7×5.
Volume = 7×7×5 = 245cubic units.
Hence, the volume of the given diagram is 245 cubic units.
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Answer:
490 units squared to the 3 power
Step-by-step explanation:
The sum of the measures of the interior angles of a 47-gon is ___ degrees.
Answer:
172.3 to 1 decimal place
Step-by-step explanation:
So first you do 360÷47=7.659574468… we then round it to 4 decimal places which is 7.6596. Then you do 180-7.6596=172.3404. So the answer is 172.3404 but to 1 decimal place it is 172.3.
In a random sample of 7 college students, the mean number of hours per week they exercise was 5.2. Suppose an additional student is added to the sample with exercising time of 2 hours. Find the sample mean for all 8 students.
The sample mean for all 8 students is 4.8 hours per week.
What is arithmetic mean?The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.
To find the new sample mean, we need to add the new student's exercising time to the total time for the previous 7 students, and then divide by the total number of students.
The total exercising time for the previous 7 students is 7 x 5.2 = 36.4 hours.
The total exercising time for all 8 students is 36.4 + 2 = 38.4 hours.
So the sample mean for all 8 students is 38.4 / 8 = 4.8 hours per week.
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Ms. Dawson's call did a science experiment. The class started out with 635 bacteria cells. The growth rate
predicted was 5.15%. Sketch the graph that represents the situation. Label the y-intercept and the point that
represents the projected bacteria population 23 h from the start of the experiment. Be sure to show your work
on how you obtained your second value. Round to the nearest whole number.
The exponential function obtained from the table is represented by the formula y is 650(1.045)x.
Exponential operation?A function with the exponential shape is:
y = abˣ
where an is y's initial value, b are multipliers, and y and x are variables.
The bacterial population at x hours should be represented by y.
With 650 bacteria cells at the beginning, the group.
a = 650
4.5% is the growth rate.
b = 100% + 4.5% = 104.5% = 1.045
The exponential function obtained from the table is represented by the formula y = 650(1.045)x.
The exponential function obtained from the table is represented by the formula y is 650(1.045)x.
Thirty hours later:
y = 650(1.045)³⁰ = 2434.
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We can only add or subtract radicals if and only if the radicands and index are the same.
A)True
B)False
Answer:
True
Step-by-step explanation:
this is what i found.
When adding or subtracting radicals you must have the same?
The first thing to note is that radicals can only be added and subtracted if they have the same root number. If the radicals in a question are unlike, you won't be able to combine them together.
help! Plot the image of triangle
△
�
�
�
△ABCtriangle, A, B, C under a reflection across line
ℓ
ℓell.
Check the picture below.
the question is 4 1/5 x 5/14
Answer:
3/2
Step-by-step explanation:
Simplify the following:
((4 + 1/5)×5)/14
((4 + 1/5)×5)/14 = ((4 + 1/5)×5)/14:
((4 + 1/5)×5)/14
Put 4 + 1/5 over the common denominator 5. 4 + 1/5 = (5×4)/5 + 1/5:
(((5×4)/5 + 1/5) 5)/14
5×4 = 20:
((20/5 + 1/5)×5)/14
20/5 + 1/5 = (20 + 1)/5:
(((20 + 1)/5)×5)/14
20 + 1 = 21:
(21/5×5)/14
21/5×5 = (21×5)/5:
((21×5)/5)/14
((21×5)/5)/14 = (21×5)/(5×14):
(21×5)/(5×14)
(21×5)/(5×14) = 5/5×21/14 = 21/14:
21/14
The gcd of 21 and 14 is 7, so 21/14 = (7×3)/(7×2) = 7/7×3/2 = 3/2:
Answer: 3/2
Last week, Kerry read 32 pages of her book. She needs to read 50% more pages this week so that she will be able to return her book on time. How many pages does she need to read this week?
Daryl has a pyramid with a square base. He slices the pyramid with a plane that is
either parallel or perpendicular to the base.
Which shapes are possible cross-sections for Daryl's slice?
Choose all that apply.
A circle
B square
C triangle
The cross-section of an item would be a circle if it were cut through by a plane parallel to its base. The object has made touch in this manner.
What is meant by cross-section triangle?A straight cut through an object yields a shape known as a cross section. Having a triangle as its cross section, this object. It resembles a window produced by cutting through something to see inside.
When you slice or cut through an object, you form a cross section of that object. They enable us to view an object's interior. Conic sections are some of the most well-known cross sections. Conic sections are made by cutting a right cone in several ways.
When a solid (such a cone, cylinder, or sphere) is cut by a plane, a cross-section. For instance, if a plane parallel to an object's base were to cut through it, the cross-section that resulted would be a circle. In this way, the object has come into contact.
Therefore, the correct answer is option C. triangle.
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Solve for x in the following equation: 6x + 35 = -2x + 11
Answer: X= -3
Step-by-step explanation:
6x +35 = 2x +11
Add 2x to both sides
6x+35+2x=11
Combine 6x and 2x
8x+35=11
Subtract 35
8x=11-35
Subtract 35 from 11
8x=-24
Divide both
X= -24/4
Divide -24 by 8
X=-3
I think
1/4=_=_
Plsssssss helppppp
Answer:
0.25
Step-by-step explanation:
Elly and Julie are 18 miles apart on a path when they start moving toward each other. Elly runs at a constant speed of 4 miles per hour, and Julie walks at a constant speed of 6 miles per hour. How long does it take until Elly and Julie meet?
Elly and Julie meet 12km long distance.
How is the distance rate formula calculated?The relationship between distance, rate, and time is shown by the equation: distance=ratetimed=rt. You will have travelled 180 miles if, for instance, your speed is 60 mph and you drive for three hours.
Use the formula d = st, which says that distance is equal to speed times time, to calculate speed, distance, or time.
Speed is calculated as distance divided by time. You can also calculate the time by dividing the distance travelled by the speed. The third input can be calculated if you know two of the inputs. Using the formula 120 x 2 = 60 mph, we can calculate the speed of a car that travels 120 miles in two hours.
18*4 = 60
72-60 = 12 km.
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It would take Elly and Julie 1.8 hours to meet from their respective distance.
How is the distance rate formula calculated?The relationship between distance, rate, and time is shown by the equation: distance=ratetimed=rt. You will have travelled 180 miles if, for instance, your speed is 60 mph and you drive for three hours.
Use the formula d = st, which says that distance is equal to speed times time, to calculate speed, distance, or time.
Let's call the time (in hours) that it takes for Elly and Julie to meet as "t".
We know that Elly runs 4 miles per hour, so in "t" hours, she would have run 4 * t miles.
Similarly, Julie walks 6 miles per hour, so in "t" hours, she would have walked 6 * t miles.
Since they started 18 miles apart, they would meet when the sum of the distances that each of them has covered is equal to 18 miles:
4 * t + 6 * t = 18
Solving for "t":
10 * t = 18
t = 18 / 10
t = 1.8 hours
So, it would take Elly and Julie 1.8 hours to meet.
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sally and remy are each reading the same book. Sally read 1/4 of the book on monday and 2/4 of the book on tuesday. remy read 2/8 of the book on monday and 4/16 of the book on tuesday. Sally says that altogether she read more on monday and tuesday then remy. is sally correct, how do you know?
Answer: sally is correct, sally read 3/4 (0.75) of the book and rely read 0.5 (1/2) of the book
Step-by-step explanation:
Answer: She is correct
Step-by-step explanation: 1/4+2/4=3/4 of the book while 2/8=1/4 and 4/16=1/4 and 1/4+1/4=2/4 and 3/4>2/4 so Sally is correct. She read 1/4 more of the book Remy. By the way, if you are asking questions, please Capitalize names. Thank you.
The equation y = 24.3x represents the number of miles, y, that Daniel can drive his
car for every a gallons of gas. Find the rate of change.
The equation y=24.3x rate of change is 24.3 .
What is rate of change?
The rate of change, which contrasts the values of the y and x variables, is expressed as a ratio. If a line is linear, constant, etc., its slope will indicate the rate of change. It is conceivable for lines to have slopes that are positive, negative, zero, or undefinable.
Here the given equation is y=24.3x.
We know that slope intercept form of the equation is y= mx+c .
Where m is slope and m is also the rate of change. Then the given equation,
=> y= 24.3x+0.
Here m= 24.3.
Hence the rate of change is 24.3 .
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Mara has 4 garden plots. Each is 0.7 acre in area. What is the total area of the garden plots? Use objects or the grids to show your work.
The total area of the garden plots is 2.8 acres.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Mara has 4 garden plots. Each is 0.7 acre in area.
Here, the total area is
4×0.7 acre
= 2.8 acres
Therefore, the total area of the garden plots is 2.8 acres.
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the length of a rectangle is 2 inches more than 3 times the width find the area when the width is 2.5 inches
Step-by-step explanation:
Let's call the width of the rectangle "w".
The length of the rectangle is given as 2 inches more than 3 times the width:
l = 3w + 2
When the width is 2.5 inches, the length can be found:
l = 3 * 2.5 + 2 = 7.5 + 2 = 9.5 inches
The area of the rectangle can be found by multiplying the length and width:
A = l * w = 9.5 * 2.5 = 23.75 square inches.