It will take 29 years to reach $725 to $2000 compounded twice in a month.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest is,
A = P(1 + r/100)ⁿ.
Where, A = amount, P = principle, r = rate, and n = time in years.
The formula for compound interest compounded twice each month is,
A = P(1 +(r/24)/100)²⁴ⁿ.
Given, A = 2000, P = 725, r = 3.5.
∴ 2000 = 725(1 + (3.5/24)/100)²⁴ⁿ.
(1 + (3.5/24)/100)²⁴ⁿ = 2.76.
(1.00146)²⁴ⁿ = 2.76.
24n = [tex]log_{1.00146}2.76[/tex].
24n = 695.87.
n = 29 years.
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can somebody help solve 75 - 6x = 4x - 15
Answer:
x = 9
Step-by-step explanation:
75 - 6x = 4x - 15
We want to arrive at an answer that looks like
x = a number,
so we want x on the left side and numbers on the right side.
Remember that whichever operation we do to one side of the equation, we must do to both sides.
Since there is a 75 on the left side, and it is being added to -6x, subtract 75 from both sides.
75 - 75 - 6x = 4x - 15 - 75
Simplify both sides.
-6x = 4x - 90
Since there is a 4x on the right side, and it is being added to -90, subtract 4x from both sides.
-6x - 4x = 4x - 4x - 90
Simplify both sides.
-10x = -90
We want x, but x is being multiplied by -10, so we divide both sides by -10.
[tex] \dfrac{-10x}{-10} = \dfrac{-90}{-10} [/tex]
Simplify both sides.
x = 9
help me please i'll mark as brainliest asap
Answer:
a. A(x) = 3x² - 8x + 5
b. x = ⁸/₃
Step-by-step explanation:
a.
A(x) = shaded area
A(x) = (2x - 3)² - (x - 2)²
= 4x² - 12x + 9 - (x² - 4x + 4)
= 4x² - x² - 12x + 4x + 9 - 4
= 3x² - 8x + 5
b.
ΔABF area = ⁵/₄ cm²
A(x) = 4(⁵/₄)
= 5
Substitution:
3x² - 8x + 5 = A(x) = 5
3x² - 8x + 5 = 5
3x² - 8x = 0
x(3x - 8) = 0
3x - 8 = 0
x = ⁸/₃
x = 0
Since x > 2, x = 0 is not valid;
So, x = ⁸/₃
Please hurry and answer!
This graph gives growth of a plant overtime what is the slope of the line, and what does the slope mean in situation
select from the drop down menus to correctly complete the statement
The slope is blank which means that the plant blank by blank everyday
Using the slope of the linear function, it is found that:
The slope is of 0.5, which means that the plant grows by 0.5 inches each day.A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is by how much the output y changes when the input x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem:
x is the time in days.y is the height in inches.Two of the points are: (0,0) and (2,1).
The slope is given by change in y divided by change in x, hence:[tex]m = \frac{1 - 0}{2 - 0} = \frac{1}{2} = 0.5[/tex]
Then, applying the interpretation:
The slope is of 0.5, which means that the plant grows by 0.5 inches each day.To learn more about slopes and linear functions, you can take a look at https://brainly.com/question/16302622
Answer:
hes correct. the slope is 0.5 and it grows 0.5 inches everyday
Step-by-step explanation:
Select the correct answer. This table represents the boiling point of water at different altitudes.Which equation represents water's boiling point (y) based on the change in altitude (x)? Altitude (thousands of feet) Boiling Point of Water (Fahrenheit) (sea level) 0 212 0.5 211.1 1.0 210 2.0 208.4 2.5 207.5 3.0 206.6 4.0 204.8 4.5 203.9
Answer:
Step-by-step explanation:
The net income reported on the income statement for the current year was $135,500 depreciation recorded on store equipment for the year amounted to $22,400 balances of the current asset and current libaility accounts at the beginning and end of the year are as follows
Plz solve this its urgent
Options are 6cm
3cm
1.5cm
ΔPQR has: PM is a median
So: MR = QM = 3 cm
ANSWER: MR = 3 cm
Ok done. Thank to me :>
Find the value of .
X
100°
Y
130°
x
66°
w
Z
The measure for angle W is 80 degree.
What is Trapezium?A unrestricted polygon or figure with four sides, four corners, and four angles is called a trapezium. Each brace of a trapezium's opposing sides is resemblant to the other.
Similar to other quadrilaterals, the trapezium's four angles add up to 360°. Two of the sides of a trapezium are parallel, and the other two are not. Regular trapezium diagonals cut each other in half.
Given:
We have angles <X= 100, <Y = 130 and <Z= 66.
As, we know that in Trapezium the sum of adjacent angle is 180.
So, <X + <W = 180
100 + <W =180
<W= 180- 100
<W = 80 degree.
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Which variable would you eliminate first to solve this system using the elimination method? 3x+7y=2 -3x-y=10
Answer:
x
Step-by-step explanation:
Since the x- terms are opposites , that is 3x and - 3x , then when the 2 equations are added the x- term will be eliminated.
Find the first five terms of the sequence defined below:
Answer:
d. 7, -14, 28, -56, 112
Step-by-step explanation:
f(2) = -2(7) = -14
f(3) = -2(-14) = 28
f(4) = -2(28) = -56
f(5) = -2(-56) = 112
Help help help help math math math math help
Answer:
14
Step-by-step explanation:
because both sides need to be equal so if u plug in the 14 in x it gives you the same number for both sides 107.
please help me on this one would be great help.
Answer:
60
Step-by-step explanation:
someone help please i don’t want to fail math
Answer:
Image below!
Step-by-step explanation:
Plotting [tex]\underline{y=2x+3}[/tex]
Step 1: determine the y-intercept
[tex](0,3)[/tex]
plot the point as the first point on the graphStep 2: Move 2 units up, and 1 unit left (keep repeating this process until you have reached the limit of the graph)
Step 3: Go to the other side of the graph of the first point (y-intercept)
move 2 units down, and 1 unit right keep repeating this process until you have reached the limit of the graph)When you've completed this process, it should look like this:
Mariana's office recycled a total of 9 kilograms of paper over 3 weeks. After 4 weeks,
how many kilograms of paper will Mariana's office have recycled? Solve using unit rates.
Answer:
9 kg per 3 weeks = 3 kg per week
Therefore, after 4 weeks it is (4 * 3) kilograms or 12 kilograms
Step-by-step explanation:
Who are you favorite male country singers?
Answer:
kanye west
Step-by-step explanation:
I need help on this math question
Answer:
84
Step-by-step explanation:
7 Sizes * 3 Lengths * 4 Colors = 84
3. Find the total tax using the expanded expression. Did you get the same answer as
you did by evaluating the original expression? (3 points)
Answer:
To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations
Answer:
To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations
Step-by-step explanation: Hope it Helpss :D
Part A: James bought a cake that weighs pounds. How many ounces does the cake weigh? Show your work. (5 points)
[16 ounces = 1 pound]
Part B: A running tap dispenses 0.15 gallons of water every second. How many pints of water is dispensed after 20 seconds? Show your work. (5 points)
[1 gallon = 4 quarts, 1 quart = 2 pints]
Question 4 options:
Answer:
For part a multiply the pound amount by 16. Your work would look something like this... (not actual answer) 10 pounds x 16= 160 ounces. So 10 pounds= 160 ounces!
For part B
0.15 gallons=1.2 pints
Example: .15 x 4= .6
.6 x 2= 1.2 pints
1.2 x 20 seconds= 24 pints!
Hope this helps
Step-by-step explanation:
:)
Answer:
Part A: 52 oz
Part B: 24 pints
Step-by-step explanation:
Part A:
Since 1 pound = 16 ounces, the number of ounces is 16 times the number of pounds. To convert pounds to ounces, multiply the pounds by 16.
3 1/4 lb × 16 oz/lb =
= 13/4 × 16 oz
= 13 × 4 oz
= 52 oz
Answer: 52 oz
Part B:
We need to convert from gallons to pints.
1 gallon = 4 quarts
1 quart = 2 pints
That means that 1 gallon = 8 pints.
0.15 gallon/second × 8 pints/gallon =
= 1.2 pints/second
The tap dispenses 1.2 pints/second.
Now we calculate the number of pints dispensed in 20 seconds.
1.2 pints/second × 20 seconds = 24 pints
Answer: 24 pints
your friend claims that the average maximum amount of time people can hold their breath is less than 60 seconds. to check whether your friend's claim is true, you take a random sample of the maximum amount of time 10 people can hold their breath. 42 45 47 50 58 60 61 63 64 68 assume the population is approximately normal. perform a hypothesis test to determine whether the average maximum amount of time people can hold their breath is less than 60 seconds. use the alpha =0.05 level of significance.
a. state the null and alternate hypothesis
b. compute the value of the test statistic. round your intermediate calculations and final answer to at least three decimal places.
c. give the p-value
d. determine whether to reject the null hypothesis
e. state a conclusion in the context of the question (in the story of the problem)
Using the t-distribution, it is found that:
a)
The null hypothesis is: [tex]H_0: \mu \geq 60[/tex]
The alternative hypothesis is: [tex]H_1: \mu < 60[/tex]
b) t = -1.47
c) 0.0878.
d) Do not reject the null hypothesis.
e) Not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.
Item a:
At the null hypothesis, it is tested if the mean is not less than 60 seconds, that is:
[tex]H_0: \mu \geq 60[/tex]
At the alternative hypothesis, it is tested if the mean is less than 60 seconds, that is:
[tex]H_1: \mu < 60[/tex]
Item b:
We can find the standard deviation for the sample, hence, the t-distribution is used to solve this question.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.With the help of a calculator to find the sample mean and the standard deviation, the values of the parameters are:
[tex]\overline{x} = 55.8, \mu = 60, s = 9.04, n = 10[/tex]
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{55.8 - 60}{\frac{9.04}{\sqrt{10}}}[/tex]
[tex]t = -1.47[/tex]
Item c:
The p-value is found using a left-tailed test, as we are testing if the mean is less than a value, with 10 - 1 = 9 df and t = -1.47.
Using a t-distribution calculator, this p-value is of 0.0878.Item d:
The p-value is of 0.0878 > 0.05, hence, we do not reject the null hypothesis.
Item e:
Since the null hypothesis is not rejected, there is not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.
A similar problem is given at brainly.com/question/24826023
Can anyone help thanks
Answer:
First Option, log 3x is equivalent to the expression shown
Read in equality quality for the graph shown below use ask for your beard
Answer:
x<-3
Step-by-step explanation:
A jet plane can carry up to 200,000 liters of fuel. It used 130,000 liters of fuel during a flight. What percentage of the fuel capacity did it use on this flight?
Answer:
Step-by-step explanation:
65%
Step-by-step explanation:
Given: Full capacity= 200000 litres
Amount of fuel used during flight= 130000 litres
Now, finding percentage of fuel used on the flight.
∴ Percentage of fuel used=
Solving it, we will get
∴ 65% of fuel capacity been used in this flight.
Answer:
65%.
Step-by-step explanation:
(130,000/200.000) * 100
= 0.65 * 100
= 65%.
A 67-kilogram cannon fires a 1 kilogram cannonball at 45 m/sec. If the cannon is on wheels, at what speed does it move backward?
Answer:
-1.4 m/sec [backwards]
Step-by-step explanation:
The energy of the cannon moving should be equal to the energy contained in the cannonball. Kinetic energy for each is calculated using KE = (1/2)m[tex]v^{2}[/tex]
Let x be the speed of the cannon.
Cannonball:
KE = (1/2)m[tex]v^{2}[/tex]
KE = (1/2)(1kg)(45 m/sec)^2
KE = 22.5 kg*m/sec^2
Cannon: [The cannon will have the reverse energy]
KE = - (1/2)m[tex]v^{2}[/tex]
22.5 kg*m/sec^2 = -(1/2)(67 kg)x^2
22.5 kg*m/sec^2 = -(33.5 kg)x^2
x^2 = (33.5 kg)/(22.5 kg*m/sec^2)
x^2 = -1.4 m/sec [backwards]
What is (3*7) divided by 5
Answer:
The answer is 4.2,
Hope that helped. x
Step-by-step explanation:
3 x 7 (3*7) = 21
21 divided by 5 = 4.2.
Answer:
4.2
Step-by-step explanation:
Using PEMDAS,
ParenthesisExponentsMultiplicationDivisionAdditionSubtractionWe know that to solve (3*7) divided by 5, we will need to solve what is in the parenthesis.
So, we need to figure out what is 7*3, which is 21.
This is what we have right now:
21 divided by 5
The next step is dividing,
We divide 21 by 5 to get 4Multiply the quotient digit (4) by the divisor 5Subtract 20 from 21Add a decimal place and a zero to the dividend, bring down the zero from the dividendDivided 10 by 5 to get 2Multiply the quotient digit (2) by the divisor 5Subtract 10 from 10The solution for the division is 4.2In the end, the answer is 4.2, hope this helped!
help me plssssss
ssssssssss
Answer:
The answer is going to be A
Step-by-step explanation:
There are 5 boxes of chocolates. If taking 200g out of each box, the remaining chocolates in the 5 boxes are exactly the same weight as the original 4 boxes. How many grams of chocolate is in each box?
Answer:
1000
Step-by-step explanation:
So the taken chocolate weight equals to the original 1 box of chocolate.
Thus there are 200 x 5 = 1000g.
The orginal chocolate has 1000g each.
PLS HELP BEST ANSWER=BRAINLIEST
3a² - ac + 2c - 6a/ 3a - c = a - 2
i have been looking everywhere but i cannot find the steps on how to simplify/solve this
PLS SHOW STEPS
Answer:
a-2=a-2
Step-by-step explanation:
Here it is, you just have to notice that the numerator has common factors alternated. You will then collect the same parentheses and simplify with the denominator.
Answer:
Step-by-step explanation:
Parentheses are missing in your problem statement if you intend to simplify ...
[tex]\dfrac{3a^2-ac+2c-6a}{3a-c}\\\\=\dfrac{a(3a-c) -2(3a-c)}{3a-c}\qquad\text{factor pairs of terms}\\\\=\dfrac{(a-2)(3a-c)}{(3a-c)}\\\\=\boxed{a-2}\qquad\text{cancel common factors}[/tex]
The "steps" are ...
factor numerator (and denominator, if necessary)cancel common factors[F r e e] [p o i n t s]
:0
Answer:
Ayo
Step-by-step explanation:
Thanks bro
Which of the following is most likely the next step in the series?
A?
B?
C?
D?
Answer:
c
Step-by-step explanation:
each shape has one more side than the other
the last shape in the pattern so far has 5
the shape at letter c has 6
therefore it is c
A local band sells out for their concert. They sell all 1,175 tickets for a total purse of $28,112.50. The tickets were priced at $20 for student tickets, $22.50 for children, and $29 for adult tickets. If the band sold twice as many adult as children tickets, how many of each type was sold
Answer:
225 children tickets, 450 adult tickets and 500 student tickets were sold
Explain how the ratios 5 tacos for every 2 guest and 2 tacos for every 5 guests are different. Include a model in your explanation.
Answer:
5 tacos for 2 guests would mean more for each person, while 2 tacos for 5 guests would mean less for each person
Suppose theta is an angle in the standard position whose terminal side is in Quadrant II and tan0= -sqrt3 Find the exact values of the remaining five trigonometric functions of theta
The exact values of the remaining five trigonometric functions of theta are
sinθ = √3/2cosecθ = 2/√3cosθ = -1/2secθ = -2 cotθ = -1/√3Since tanθ = -√3.
The remaining five trigonometric functions of theta are sinθ, cosecθ, cosθ, secθ and cotθ.
The next trigonometric function of θ is cotθ.
cotθ = 1/tanθ
= 1/-√3
= -1/√3.
Also, tan²θ + 1 = sec²θ
Substituting tanθ = -√3 into the equation, we have
(-√3)² + 1 = sec²θ
3 + 1 = sec²θ
sec²θ = 4
secθ = ±√4
secθ = ±2
Since θ is in the quadrant II,
secθ = -2
Also, cosθ = 1/secθ
= 1/-2
= -1/2
Also, cot²θ + 1 = cosec²θ
Substituting cotθ = -1/√3 into the equation, we have
(-1/√3)² + 1 = cosec²θ
1/3 + 1 = cosec²θ
cosec²θ = 4/3
cosecθ = ±√(4/3)
cosecθ = ±2/√3
Since θ is in the quadrant II,
cosecθ = +2/√3
Also, sinθ = 1/cosecθ
= 1/2/√3
= √3/2
So, the exact values of the remaining five trigonometric functions of theta are
sinθ = √3/2cosecθ = 2/√3 cosθ = -1/2secθ = -2cotθ = -1/√3.Learn more about trigonometric functions here:
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