Do not round intermediate computations, and round your answer to the nearest hunderdth
Answers
Given:
Principal = $2500
Rate = 7.5% per annum (compounded monthly)
Amount needed to constitute: $3000
To find:
Number of years
Step by step solution:
[tex]\begin{gathered} \text{ }A=p(1+\frac{r}{(100)(12)})^{12n} \\ \\ 3000=2500(1+\frac{7.5}{(100)(12)})^{12n} \\ \\ 1.2=(1.00625)^{12n} \\ \\ 1.2=(1.00625)^{12n} \\ \end{gathered}[/tex]
We will use logarithm to solve the question furtherly:
[tex]\begin{gathered} ln(1.2)=12n[ln(1.00625)] \\ \\ n=\frac{ln(1.2)}{12ln[1.00625]} \\ \\ n=\text{ 2.439 years} \end{gathered}[/tex]We can take it's value to approx 2 years 5 months.
Related Questions
Convert from square yards to square feet 40 yd2 = ft2
Answers
Given:
[tex]40yd^2[/tex]Required:
To convert the given square yards to square feet.
Explanation:
To convert square yards to square feet, multiply the length value by 9.
[tex]\begin{gathered} =40\times9 \\ =360ft^2 \end{gathered}[/tex]Final Answer:
[tex]40yd^2=360ft^2[/tex]Find the area of the polygon in square units. 2 8 6 12 4 6 8 The area is square units.
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The polygon you have is a regular trapezoid. To find the area of a trapezoid you use the next formula:
[tex]A=\frac{1}{2}(b_1+b_2)\cdot h[/tex]b1 is the base 1
b2 is the base 2
h is the height
For the given rapezoid:
b1: Distance between x=-1 and x=-5. b1=4 units
b2: Distance between x=-2 and x=-4. b2= 2units
h: Distance between y=-1 and y=-6. h=5 units
[tex]\begin{gathered} A=\frac{1}{2}(4u+2u)\cdot5u \\ \\ A=\frac{1}{2}(6u)\cdot5u \\ \\ A=\frac{30u^2}{2} \\ \\ A=15u^2 \end{gathered}[/tex]The area is 15 square units30 decreased by the product of a number m and 4
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To solve the exercise first in parts the given verbal expression:
*30 decreased by x, where x is any number it is written in an algebraic language like this
[tex]30-x[/tex]*the product of a number q and t, where q and t are any two numbers is written in an algebraic language like this
[tex]\begin{gathered} qt \\ \text{ or} \\ tq \end{gathered}[/tex]Therefore, the given verbal expression written as an algebraic expression is
[tex]30-4m[/tex]Solve for x:2x + 27 - 4x < - 15
Answers
2x+27-4x< -15
Combine like terms
2x-4x+27 < -15
-2x+27 <-15
Subtract 27 from both sides
-2x+27-27 <-15-27
-2x < -42
Divide both sides by -2
-2x/-2 > -42/-2
x > 21
I just signed up and my app is not helping me
Answers
Okay, here we have this:
We need to solve the following operation:
223
x 5
--------
15
10
+10
--------
1115
Finally we obtain that 223x5 is equal to 1,115.
darin wrote 1 1/2 as the sum of three fractions. none of the fractions had a denominator of 2 what fractions might darin have used A 1/8+2/8+2/4 B2/8+3/8+5/8 C2/4+2/4+2/4 D3/4+2/4+2/4
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Step 1: To find the expression wherein the above can be a sum of three fractions, lets first convert to improper fraction
[tex]\begin{gathered} 1\frac{1}{2}\text{ =}1+\frac{1}{2} \\ =\frac{1}{1}+\frac{1}{2}=\frac{2+1}{2} \\ =\frac{3}{2} \end{gathered}[/tex]Step 2: Check the options given
Then, let's check option A
[tex]\frac{1}{8}\text{ + }\frac{2}{8}\text{ +}\frac{2}{4}\text{ = }\frac{1}{8}\text{ + }\frac{2}{8}\text{ +}\frac{4}{8}\text{ =}\frac{7}{8}[/tex]Option A is wrong
Let's try option B
[tex]\frac{2}{8}\text{ +}\frac{3}{8}\text{ + }\frac{5}{8}\text{ = }\frac{10}{8}\text{ =}\frac{5}{4}[/tex]Option B is wrong
Let's try option C
[tex]\frac{2}{4}\text{ +}\frac{2}{4}+\frac{2}{4}\text{ =}\frac{6}{4}\text{ =}\frac{3}{2}[/tex]Option C is correct
lets also check for option D
[tex]\frac{3}{4}\text{ +}\frac{2}{4}+\frac{2}{4}=\frac{7}{4}[/tex]Option D is wrong
The answer is option C
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(10, 4) (-7 , 1)
slope = (1 - 4) / (-7 - 10)
slope = -3 / -17
slope = 3/17
show that 2/4-x= 10/4+x is equivalent to 12x=22 for all values of x not equal to 4 or -4
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Step 1:
Write out the expression
[tex]\frac{2}{4-x}=\frac{10}{4+x},x\ne4,x\ne-4[/tex]Step 2:
We cross-multiply, to get
[tex]2(4+x)=10(4-x)[/tex]Step 3:
we expand the expression
[tex]8+2x=40-10x[/tex]Step 4
We collect like terms
[tex]\begin{gathered} 2x+10x=40-8 \\ \text{ Hence, we have} \\ 12x=32 \end{gathered}[/tex][tex]undefined[/tex]Which of the following statements is true?0.8 <0.2 < 0.9 <0.8010.2 <0.8 <0.9 <0.8010.2 0.8 0.801 0.90.2 0.9 0.8 0.801
Answers
Let us compare the given numbers in each answer to find the correct answer
0.2 - 0.8 = -0.6
That means the first number is greater than the 2nd number, then
0.8 can not be smaller than 0.2
0.8 - 0.2 = 0.6
0.9 - 0.8 = 0.1
0.801
Determine the slope of the line represented by the equation: y= 1/5x+25
Answers
ANSWER
STEP-BY-STEP EXPLANATION
What to find? The slope of the line of the equation
The equation of a straight line is represented below
[tex]y\text{ = }\frac{1}{5}x\text{ + 25}[/tex]The general form of the slope-intercept equation is written below as
y = mx + b
where,
• m, = ,slope of the line
,• b, = ,intercept of the y-axis
Relating the two equations together, we will see that,
[tex]\begin{gathered} m\text{ = }\frac{1}{5} \\ b\text{ = 25} \end{gathered}[/tex]Therefore, the slope of the equation of the straight line is 1/5
State the coordinates of a point in the solution set (what’s in the darker area)
Answers
we have the following:
[tex]\begin{gathered} y\ge\frac{3}{2}x-5 \\ y\leq-x+5 \end{gathered}[/tex]solving:
The point (0,0)
The O! Natural Company sells a juice in 1 gallon bottles. The current retail price of the juice is $3.50 for 1 gallon. In order to remain competitive, the company will decrease the price to $3.20. 1. What percent of the original price are consumers going to pay? % 2. Suppose the company's cost per 1 gallon is $2.70. What is the markup if they sell each gallon at $3.20? What is the markup if they sell each gallon at $3.50? Round your answer to the nearest tenth, if necessary. The markup if they sell the juice at $3.20 is %. %. The markup if they sell the juice at $3.50 is 3:40 PM 10/28/2020 1 gi
Answers
original Juice price: $3.50
New price: $3.20
1.
Multiply the original price by the percentage in decimal form ( x) . That expression must be equal to the new price:
3.50 x = 3.20
Solve for x
x = 3.20/3.50
x= 0.91
Multiply by 100
0.91 x 100 = 91%
2.
Cost per gallon $2.70
MArkup if they sell each gallon at $3.20
3.20-2.70 = $0.5
Markup if they sell each gallon at $3.50:
3.50-2.70 = $0.8
graph the line with the equation
Answers
y =- 1/3 x - 2
WQe need to find the points by finding the x and y -intercept
Put x = 0
y = -2
(0, -2)
put y = 0
0 = -1/3 x - 2
1/3 x = -2
mutiply bothside by 3
x = -2(3) = -6
(-6, 0)
The points are;
(0, -2) and (-6, 0)
Below is the graph
two factory plants are making tv panels. yesterday, plan A produced 12,000 panels. two percents of the panels from plant A and 6% of the panels form plant B were defective. how many panels did plant B produce, if overall percentage of defective panels from the two plants was 3%.
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
total plant A = 12000
0.02 * total plant A = defective panels A
0.06 * total plant B = defective panels B
0.03 = rate of total defective panel
total plant B = ?
Step 02:
We must analyze the problem and write the equation.
0.02 * total plant A + 0.06 * total plant B = 0.03 ( total plant A + total plant B)
0.02 * 12000 + 0.06 * B = 0.03 ( 12000 + B)
240 + 0.06 B = 360 + 0.03 B
0.06 B - 0.03 B = 360 - 240
0.03 B = 120
B = 120 / 0.03
B = 4000
The answer is :
The total number of panels produced by plant b was 4000
15. In 2008, approximately 131 million people voted in the U.S. general election, compared to about 139 million people in 2016. The total population of the U.S. was 304 million in 2008 and 323 million in 2016. Assume that both values are growing exponentially. Find the growth rate r for both populations. State your answers as percentages, rounded to the nearest tenth of a percent.For the number of voters: r = %For the total population: r = %
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7. Christa's friend Edrei takes the bus to school. She starts at a distance of 8 miles from the school. After 10 minutes on the bus, she is 4 miles from the school. After 20 minutes, she is O miles from the school. Use the steps to find the equation that describes Edrei's distance from school as she rides the bus.1. find the slope of the line using the points 10, 4 and 20, 02. identify the starting value b3. write the equation that represents this situation in the form y = mx + b
Answers
She start at a dirtance of 8 miles from the school, and after 10 minutes she is 4 miles from the school. so that means that in 10 minutes she advance halve of the way so we can find the ratio that will be:
[tex]\frac{10}{4}=\frac{5}{2}[/tex]Now we can multiply the ratio for a number that give you the 20 minutes so in this case us 4
[tex]\frac{5\cdot4}{2\cdot4}=\frac{20}{8}[/tex]So after 20 minutes she arrive to the school, now let's find the slope:
we know that the equation is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]and we replace the coordinates so:
[tex]m=\frac{0-4}{20-10}=-\frac{4}{10}=-\frac{2}{5}[/tex]now the starting point or the intercection with the y coordinate will be (0,8) because he start at 0 miles and the time is 0 so the final equation will be:
[tex]y=-\frac{2}{5}x+8[/tex]Which equation represents a line that is parallel to y=2/3x-4?
Answers
Remember that
If two lines are parallel, then, their slopes are equal
The slope of the given line is m=2/3
therefore
The answer is option Ca turtle is traveling at a speed of 2.5 mph. a hungry vulture is been chasing the turtle and the turtles speed increases at a constant rate of 1 mile per hour every second
Answers
If variable y represents the speed of the turtle, and x the time, then, for the given situation you can write the following equation:
y = 2.5 + 1x
which means that from a speed of 2.5mph the turtle has increased 1x miles per hour its speed after x seconds.
A plot of the graph is shown below:
27–34: Describing Distributions. Consider the following distributions.-How many peaks would you expect the distribution to have? Explain.-Make a sketch of the distribution.-Would you expect the distribution to be symmetric, left-skewed, or right-skewed? Explain.-Would you expect the variation of the distribution to be small, moderate, or large? Explain.28. The weights of all people who use an ice rink that is open to figure skaters in the morning and to hockey players in the afternoon
Answers
First, we have to think that the weights of the people with these characteristics will be people with certain athletic conditions and some few maybe do not have that condition. Then, in both cases, the people going to the ice rink to figure skaters in the morning, and the hockey players in the afternoon:
• The distributions will have one peak. There will not be a remarkable variation among people to have two peaks ( the central tendency measures will be one: one mode, one mean, and one median).
,• Since the central tendency measures will be similar, the distribution must be symmetric. The difference among the mode, mean, and median must be small.
,• The variation of the distribution measured by the range, standard deviation, or variance will be from small to moderate, or better, small, since both populations must be similar in their weights.
Find the equation of the line that has the given properties. Write the equation in slope-intercept form, if possible. 23) Contains (-2, -5); parallel to y=-1/2x-10
Answers
Answer:
y=-1/2x-6.
Explanation:
Comparing the given line with the slope-intercept form (y=mx+b):
[tex]y=-\frac{1}{2}x-10\implies\text{Slope,m}=-\frac{1}{2}[/tex]Two lines are parallel if they have the same slope.
Thus, the new line is required to have a slope of -1/2 and pass through the point (-2,-5).
Using the point-slope form:
[tex]\begin{gathered} y-y_1=m(x-x_1)\text{ where:} \\ Slope,m=-\frac{1}{2} \\ Point,(x_1,y_1)=(-2,-5) \end{gathered}[/tex]Substitute the points:
[tex]\begin{gathered} y-(-5)=-\frac{1}{2}\lbrack x-(-2)\rbrack \\ y+5=-\frac{1}{2}(x+2)_{} \end{gathered}[/tex]Finally, we express it in the slope-intercept form:
[tex]\begin{gathered} y+5=-\frac{1}{2}x-1 \\ y=-\frac{1}{2}x-1-5 \\ \implies y=-\frac{1}{2}x-6 \end{gathered}[/tex]The equation of the line that has the given properties is y=-1/2x-6.
Convert percent to fraction and simplify if possible 25% =
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We need to convert 25% to fraction.
First step is to put the number (without the percent sign) over 100. So, we have:
[tex]\frac{25}{100}[/tex]Then we have to reduce this fraction to get the final form.
25 goes into 25 one time.
25 goes into 100, four times.
Thus, the fraction reduction is:
[tex]\frac{25}{100}=\frac{1}{4}[/tex]So, the answer is:
[tex]25\%=\frac{1}{4}[/tex]Help me I have to put how each one is named
Answers
• a = 2b, then a - c = 2b - c: ,Subtraction property of equality
• x = x: ,Reflexive property
• 3(p - 7) = 3p - 21: ,Distributive property
• If -7k = -42, then k = 6: ,Division property of equality
• If m + n = 15 and n = 2, then m + 2 = 15: ,Substitution property
• If x/4 = -5, x = -20: ,Multiplication property of equality
• If w² = 2x and 2x = y, then w²=y: ,Transitive Property
• If c - 9 = -1, then c = 8: ,Addition Property of equality
• If n = -3, then -3 = n: ,Symmetric property
The movement or the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. The drawing below shows that the two triangles are similar. Write the corresponding sides as equal ratios. 0 Zx = sq = A A2 = $ o 4 = B = 40 0 = * = AS Pass
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We will have that the relationships are:
[tex]\frac{AB}{ZY}=\frac{BC}{YX}=\frac{ZC}{ZX}[/tex]So, the solution is option C.
Which of the following is not a polynomial function? 1 А B f(x) = -2x* - 3x + 8x2 + 7 f(x) - 2x + 5x - 7x +11 f(x)= *** -5x + 8 f(x) - 0.83x + 3x - 2x + 5x4 - 12 C Ꭰ .
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The answer is A. because there is a part that has a exponent which is not a natural number
Question 4a-bThe price of a stock is modeled by the polynomial g(0);where t is time and g() is the price of the stock. Thispolynomial has a leading coefficient of 3 and thefollowing roots: -1, 1, and 2. (3 points)a. Write g(1) in factored form., (x) (-1) (x + 1) (x + 2)
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The price of a stock is modeled by the polynomial g(0);
where t is time and g() is the price of the stock. This
polynomial has a leading coefficient of 3 and the
following roots: -1, 1, and 2. (3 points)
a. Write g(1) in factored form.
we have that
the polynomial is equal to
g(t)=3(t+1)(t-1)(t-2)g(1)=0 ------> because t=1 is a rootThe temperature of a refrigerator should be 38 degrees Fahrenheit give or take 3 degrees write and absolute value equation to model the situación and solve to find the minimum and maximum temperature
Answers
We know that
The temperature is 38°F.
The range of change is +-3°F.
we need to graph inequalities on a number line and it's like reading Chinese to us. z ≤ 7 - 9
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To graph the given inequality, here are the steps:
1. Simplify the numerical part of the inequality. In this case, it is 7 - 9.
[tex]7-9=-2\Rightarrow z\leq-2[/tex]2. Draw a solid dot on top of -2. If the inequality has an equal sign in it, our dot should be solid. Otherwise, it will be hollow. Since the given inequality is less than or equal to, our dot will be solid.
3. Since the inequality symbol is less than or equal to, the direction of the graph is to the left of the dot. Draw a line in this direction. Hence, the graph of the inequality is:
Graph the line that contains the point P and has slope m. Find the equation of the line.
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Given the point P ( 1 , 1 ) , with the slope undefined, write out the general equation of a line in point slope form
[tex]y-y_1=m(x-x_1)^{}[/tex]Write out the values of the parameters provided in the question and substitute in the above formular
[tex]\begin{gathered} y_1=1,x_1=1,m=\frac{1}{0} \\ y-1=\frac{1}{0}(x-1) \\ 0(y-1)=1(x-1) \\ 0=x-1 \\ x=1 \end{gathered}[/tex]The graph of the equation x=1 is given below
HELP ! With a deck of playing cards,make up a question with given probability 1. 13/52 • 13/51 • 4/50 • 4/492. 13/52 • 12/51 • 4/50 • 3/49
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13/52 : probability of all spades
4/50: probability of all aces
1. What is the probability of drawing a spade, a clover, a heart ace, and a diamond ace?
2. What is the possibility of drawing a spade, a spade king, a heart ace, and a spade ace?
Which interval would not be used for the stems of a stem-and-leaf plot?1010015
Answers
Solution:
In a stem-and-leaf plot, the interval which will not be used for the stems is
[tex]100[/tex]The correct option is