Answer:
Amount deposit each month = $365.26
Step-by-step explanation:
Given:
Amount deposit = $15,000
Rate = 6% = 6% / 12 = 0.005
Number of time = 3 x 12 = 36
Find:
Amount deposit each month
Computation:
Amount deposit each month = [(15,000) x 0.005]/[(1.005){(1.005)³⁶-1}]
Amount deposit each month = $365.26
The amount needed to be deposited each month is;
P ≈ $393.23
We are given;
APR = 6% = 0.06
Total accumulated amount; A = $15000
number of years; n = 3 years
To calculate the amount needed to be deposited each month, we will use the formula;
A = [P(1 + APR/12)¹²ⁿ - 1)] ÷ (APR/12)
Plugging in the relevant values gives;
15000 = [P(1 + (0.06/12))⁽¹²*³⁾ - 1] ÷ (0.06/12)
Rearrange to get;
[P(1 + (0.06/12))³⁶ - 1] = 15000 × 0.06/12
⇒ [P(1 + 0.005)³⁶ - 1] = 75
⇒ P(0.19073) = 75
⇒ P = 75/0.19073
⇒ P ≈ $393.23
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Irina predicted that she would sell 75 books, but she actually sold 95 books. Which expression would find the percent error?
Irene makes 4⅔ cups of pancake batter. She splits the batter into 2 bowls.She mixes blueberries into 2¼ cups of batter and walnuts into the rest of the batter.
Answer:
You have to find the most simple estimation by finding the nearest whole number, but the actual answer in 2 5/12
Input in standard form the equation of the given line that passes through (-1,-3) and (2, 1)
Answer:
y=4/3x-5/3
Step-by-step explanation:
We can use the slope formula, m=(y2-y1)/(x2-1), to find the slope.
1-(-3)/2-(-1)=4/3
We can subsitute now that we have the slope.
y=4/3x+b
-3=4/3(-1)+b
-3+4/3=b
b=-5/3
y=4/3x-5/3
A Cepheid variable star is a star whose brightness alternately increases and decreases. Suppose that Cephei Joe is a star for which the interval between times of maximum brightness is 5.3 days. Its average brightness is 2.9 and the brightness changes by /- 0.35. Using this data, we can construct a mathematical model for the brightness of Cephei Joe at time t, where t is measured in days:______.B(t)=4.2 +0.45sin(2pit/4.4)
(a) Find the rate of change of the brightness after t days.
(b) Find the rate of increase after one day.
Answer:
[tex]\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})[/tex]
0.16
Step-by-step explanation:
According to the question the mathematical model should be
[tex]B(t)=2.9+0.35\sin(\dfrac{2\pi t}{5.3})[/tex]
Differentiating with respect to time we get
[tex]B'(t)=0.35\cos(\dfrac{2\pi t}{5.3})\times(\dfrac{2\pi}{5.3})\\\Rightarrow B'(t)=\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})[/tex]
So, the rate of change of brightness after t days is [tex]\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})[/tex]
After 1 day means [tex]t=1[/tex]
[tex]B'(1)=\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi\times 1}{5.3})\\\Rightarrow B'(1)=0.16[/tex]
The rate of increase after one day is 0.16.
zen throws a bad upward with an initial upward velocity of 64ft/s. the ball is 5 ft when it leaves her hand in how many second will the ball reach its maximum height? What is the balls maximim height?
Answer:
12.8 seconds
Step-by-step explanation:
[[[click on the image to make bigger]]]
I really need questions 2 and 4 for this!! please
Answer:
It equals pizza 3’5.42 inch
Step-by-step explanation:
PLEASE ANSWER THIS IN 30 MINUTES ILL GIVE YOU 30
Answer:
can you not just divide by 2 because you want to serve half the people?
Step-by-step explanation:
chen is baking muffins and banana bread for brunch buffet. he needs 3 1/5 cups of flour to make the muffins and 3 2/3 cups of flour to make the banana bread. which is the best estimate of the number of cups of flour needed
Answer:
I think 7 would be the estimate if im wrong this is the specific number 6 13/15
Step-by-step explanation:
Answer:
She will need aproximately 7 cups
Step-by-step explanation:
First, you add 3 1/5 and 3 2/3 which is 6.86666666667
Just round that answer up and that'll give you seven
Compare. Select <, >, or=.
6.61? 6.610
The awnser is 6.610
Answer:
6.61=6.610
Step-by-step explanation:
6.61=6.610
After point we can increase no. Of zero.
A plane begins its takeoff at 2:00 P.M. on a 2200-mile flight. After 12.5 hours, the plane arrives at its destination. Explain why there are at least two times during the flight when the speed of the plane is 100 miles per hour.A) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 303 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 303 mi/hr and decelerating from 303 mi/hr.B) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 152 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 152 mi/hr and decelerating from 152 mi/hr.C) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 88 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 88 mi/hr and decelerating from 88 mi/hr.D) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 117 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 117 mi/hr and decelerating from 117 mi/hr.E) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 176 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 176 mi/hr and decelerating from 176 mi/hr.
Answer:
E) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 176 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 176 mi/hr and decelerating from 176 mi/hr.
Step-by-step explanation:
In this question we have the average velocity v = 2200/12.5
= 176miles/hr
The function Which describes the velocity of a plane is continuous. At point t, f(t) is equal to 176. So by the mean value theorem we arrive at a conclusion that the velocity is going to attain the speed of 100 miles per hour twice. The first time is during acceleration, and the second time is during deceleration. So by this, the answer to this question is option E.
determine the intersepts of the lines
Answer:
Y-intercept is (0, 100) and the X-intercept is (-250, 0)
Step-by-step explanation:
For the y-intercept the line from the origin does not move left or right and stays at 0 but it goes up by 100.
For the x-intercept the line does not go up and down but it goes to the left -250.
3x^2-x=4
please help
Answer:
x=1 4/3
Step-by-step explanation:
What is the sum or difference?
2x^4 +8x^4
Answer:
10x^4
Step-by-step explanation:
The solution to the given expression is 10x⁴ which represents its sum.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression.
The expression is given in the question, as follows:
2x⁴ + 8x⁴
We have to determine the sum or difference of the given expression.
As per the question, we have
2x⁴ + 8x⁴
Combine the likewise terms in the above expression, and we get
10x⁴
Thus, the solution to the given expression is 10x⁴.
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What is the LMC of 10 and 8
Answer:
The LCM of 10 and 8 is 40.
Hope I helped :)
Least common multiple would be (LCM) of 8 and 10 is 40.
A die is rolled twice. Find the chance that the ace (single dot) comes up on one of the two rolls, but not both. Record your answer as a percentage rounded to the nearest tenth of a percent.
Answer:
13.9%
Step-by-step explanation:
In order to calculate the probability of this happening, we would need to multiply the probability of one of the rolles being an ace with the probability of one of the roles NOT being an ace. Since the probability of rolling an ace is 1/6 (since there is only one ace in a six-sided die) then the probability of NOT rolling an ace is 5/6
[tex]\frac{1}{6} * \frac{5}{6} = \frac{5}{36}[/tex] or 0.1388 multiply by 100 to get percentage value
0.1388 * 100 = 13.9%
Therefore, the probability of getting one ace and one non-ace roll is 13.9%
Find the equation of the line.
6
The line is parallel to y =--x + 1 and passes through the point (-7, -3).
7
The equation of the line is
Answer:
y = - x - 10
Step-by-step explanation:
y - (- 3) = - (x + 7)
y = - x - 10
Express into slope form
Answer: y= 3/2x+1
Step-by-step explanation:
What are the roots of the equation 3x^2-4x+4=0?
Answer:
[tex]x=\frac{2(1\pm i\sqrt{2} )}{3}[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]√-1 is imaginary number iStep-by-step explanation:
Step 1: Define
3x² - 4x + 4 = 0
a = 3
b = -4
c = 4
Step 2: Find roots
Substitute: [tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4(3)(4)} }{2(3)}[/tex]Simplify: [tex]x=\frac{4\pm\sqrt{(-4)^2-4(3)(4)} }{2(3)}[/tex]Evaluate: [tex]x=\frac{4\pm\sqrt{16-4(3)(4)} }{2(3)}[/tex]Multiply: [tex]x=\frac{4\pm\sqrt{16-48} }{6}[/tex]Subtract: [tex]x=\frac{4\pm\sqrt{-32} }{6}[/tex]Factor: [tex]x=\frac{4\pm\sqrt{-1} \sqrt{32} }{6}[/tex]Simplify: [tex]x=\frac{4\pm4i\sqrt{2} }{6}[/tex]Factor: [tex]x=\frac{4(1\pm i\sqrt{2} )}{6}[/tex]Simplify: [tex]x=\frac{2(1\pm i\sqrt{2} )}{3}[/tex]Figure ABCD is a parallelogram.
Parallelogram A B C D is shown. The length of A B is 3 y minus 2, the length of B C is x + 12, the length of D C is y + 6, and the length of A D is 2 x minus 4.
What are the lengths of line segments AB and BC?
AB = 4; BC = 16
AB = 4; BC = 8
AB = 10; BC = 20
AB = 10; BC = 28
The lengths of line segments AB and BC are AB = 10; BC = 28
What are parallelograms?Parallelograms are shapes with parallel and equal opposite sides
The given parameters are:
AB = 3y - 2
BC = x + 12
DC = y + 6
AD = 2x - 4
The above means that:
AB = DC
BC = AD
So, we have:
AB = DC
3y -2 = y + 6
Collect like terms
3y - y = 2 + 6
2y = 8
Divide by 2
y = 4
Also, we have:
BC = AD
x + 12 = 2x - 4
Collect like terms
2x - x = 4 + 12
x = 16
The lengths AB and BC are given as:
AB = 3y - 2
BC = x + 12
So, we have:
AB = 3*4 - 2
AB = 10
BC = x + 12
BC =16 + 12
BC = 28
Hence, the lengths of line segments AB and BC are AB = 10; BC = 28
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Answer:
D
Step-by-step explanation:
Please help me solve for all the numbers
Answer: 10,8,5 are all right angles (90 degrees) 7,6,9,2 are all acute angles and are 42 degrees
1 and 3 are obtuse angles and they are 117 degrees.
Step-by-step explanation:
What is the distance between (-3,-5) and (-3, 2)?
Answer: 7 units
Step-by-step explanation:
Just plot the numbers, then count the distance between them
Which number is NOT a common multiple of 4 and 6?
Answer:
8
Step-by-step explanation:
you can multiply 4 by another number to get 8
but you can’t multiply 6 by any whole number to get 8
Answer:
The answer is 8
Step-by-step explanation:
You can multiply 4 by two and get 8, but you can't multiply 6 by any whole number and get 8.
4 times 6= 24
6 times 4=24
4 times 3=12
6 times 2=12
4 times 15=60
6 times 10=60
If his truck pulls forward with a force of 2,750 newtons and the weight of the trailer pulls backward with a force of 2,790 newtons, which of the following statement is true?
A.
The truck will experience a net force of 2,750 newtons forward.
B.
The forces acting on the truck and trailer are balanced.
C.
The truck and trailer will experience a net force of 40 newtons backward.
D.
The truck and trailer will experience a net force of 40 newtons forward.
Answer:
The answer is c
Step-by-step explanation:
A $250 suede jacket is on sale for 20%off how much should you pay for the jacket
Answer: $ 200
Step-by-step explanation:250 * 0.20 = $50 sale
250 - 50 = $200
Allyn's room is located at (3, -3). Use words to describe the location on a
coordinate plane.
Will name brainest for the first great answer with a explanation
Her room's location is 3 right from the origin, or (0,0) , and 3 down from the origin. She is in the 4th quadrant.
(I'm not quite sure how I'm supposed to describe it...)
On his most recent math test, Jeremy answered 48 questions correct out of 80 total questions. Which statement can be made about Jeremy's math test?
Answer:
Jeremy has gotten more than half of the test's questions correctly.
Step-by-step explanation:
To get half of the questions correctly, Jeremy needed at least 40, and Jeremy got more than 40, meaning he got more than half.
You have a ribbon that is 7 1/2 inches long you use 1/2 of it on a project how many inches of ribbon are left
whats the answer for this pre algebra equation
1-c+4c-29
you invest $4500 into an interest earning account that compounds daily at 5%.How much will you have in 6 years.How much interest will you earn
Answer:
4500*1.05^(365*6) = 1.1422929e+50
Two-thirds of the fruit in a basket are apples. One-fourth of the apples are green apples. What fraction of the fruit in the basket are green apples?
Answer:
1/6
Step-by-step explanation:
2/3*1/4
=2/12
=1/6
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