Answer:
$26934.56
Step-by-step explanation:
The present value of an annuity is the current value of payments gotten from an annuity in the future, given a rate of return, or discount rate. The present value of an annuity (PVOA) is given by the formula:
[tex]PVOA=payment*\frac{[1-(1+r)^{-n}]/r}{(1+r)^{t-1}}[/tex]
n = 20 years, t = 10 years, r =12% = 0.12, payment = $10000
[tex]PVOA=10000*\frac{[1-(1+0.12)^{-20}]/ 0.12}{(1+0.12)^{10-1}}[/tex] = $26934.56
Find the common ratio for the following sequence. 0.1, 0.01, 0.001, ... 0.01 0.1 0.001
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
[tex]a_1 = 0.1\\a_2 = 0.01\\a_3 = 0.001[/tex]
[tex]r = \frac{a_2}{a_1}[/tex]
[tex]r = \frac{0.01}{0.1}[/tex]
[tex]r=0.1[/tex]
Solve for n.
2/3 (1 + n ) = -1/2n
Answer: -4/7
Step-by-step explanation:
2/3 (1 + n ) = -1/2n
2/3 + 2/3n = -1/2n
Multiply both sides by 6
4 + 4n = -3n
4n + 3n = -4
7n = -4
Divide both sides by 7
n = -4/7
Answer:
Answer above its explained fully
Based on an architectural drawing, a roof slopes to a drain
along the function represented in the table that defines the
edge of slope, where x is the horizontal distance in feet and
f(x) is the vertical distance in feet.
If the drain is at the minimum point, how far is it from the wall
defined by the y-axis?
A. O feet
B. 8 feet
C. 80 feet
D. 160 feet
Answer:
80 feet
Step-by-step explanation:
Given that x is the horizontal distance in feet and f(x) is the vertical distance in feet. The minimum point of a function is its lowest point. For a quadratic equation, at its minimum or maximum point, the slope of the graph is equal to zero.
For the table of the function given below, it can be seen that the lowest point occurs when x = 80 feet, at this point, the value of f(x) is at its lowest which is 0.
Therefore at the minimum point, it is 80 feet far from the wall .
Answer:
The answer is C!
Step-by-step explanation:
Your welcome
Which could be the side length of a 30°-60°-90° triangle?
*
A. 2,3, V2
B. V3, 2V3,3
C. 3,3,3V2
D. 3, 3V3 ,6V3
Help me for 5 points
Answer:
12
Step-by-step explanation:
[tex]-3\sqrt{16(4)}+2\sqrt{4(9)^2}=\\\\-3\sqrt{64}+2\sqrt{324}=\\\\-3(8)+2(18)=\\\\-24+36=\\\\12[/tex]
Hope this helps!
Graph the line y = -5/4x-3
Answer:
Well I can't exactly graph for you but I will tell you the y intercept is at (0,-3) and the slope is -5/4
Step-by-step explanation:
Make a graph and plot a point on (0,-3)
Then go down 5 and go right 4 to represent the slope of -5/4
Hope this helps!
The graph of line y= -5/4x -3 is attached below.
We have the equation
y= -5/4x - 3.
To graph the line y = -5/4x - 3, you can use the slope-intercept form of a linear equation, which is y = mx + b.
In this equation, "m" represents the slope, and "b" represents the y-intercept.
From the given equation, we can determine that the
slope (m) is -5/4, and the y-intercept (b) is -3.
The graph of the line y = -5/4x - 3 should look like a downward-sloping line that passes through the points (0, -3), (4, -8), and (-4, -2).
Learn more about Graph here:
https://brainly.com/question/29041646
#SPJ6
In February, Alec had 1,544 visitors to his website. In March, he had 1,386 visitors to his website. What is the percentage decrease of the number of visitors to Alec's website from February to March? If necessary, round to the nearest tenth of a percent.
a. 11.4%
b. 12%
c. 10.2%
d. 89.9%
Answer:
option c. 10.2%
Step-by-step explanation:
Number of visitors to Alec's website in February = 1,544
Number of visitors to website in March = 1,386
Number of decreasing members = 1544 - 1386 = 158 visitors
decrease percentage = [tex]\frac{\text{number of decreasing members}}{\text{number of previous members}}\times 100[/tex]
= [tex]\frac{158}{1544}\times 100[/tex]
= 10.233 ≈ 10.2%
percentage decrease of the number of visitors is 10.2%.
Option c. is the answer.
The square of a number I see equal to two less than three times the number. What are two possible values of the number? A. 1,2 B. -1,2 C. 1,-2 D. -1,-2 E. 2,3
Answer:
Option A
Step-by-step explanation:
Let us take this number as x, translating this description of the equation into mathematical language;
[tex]x^2 = 3x - 2[/tex]
Now let us solve for x;
[tex]x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A[/tex]
* Note that for the the previous problem I solved, I set up a similar equation that had two values for the width, one negative and the other positive. Now the width could only be a positive number, so there was only one solution out of the two.
What is 2x^2-13x+15?
Answer:
(2x−3)(x−5)
Step-by-step explanation:
Factor 2x^2−13x+15
2x^2−13x+15
=(2x−3)(x−5)
hope this helps
-lvr
Answer:
Factored: (2x-3)(x-5)
Solving with quadratic formula: X= 5, 3/2
Step-by-step explanation:
Solve the equation.
-3x-5=16
What does 'x' equal?
Answer:
-7
Step-by-step explanation:
-3x-5=16
-3x=21
x=-7
Answer:
x=-7
Step-by-step explanation:
-3x-5=16 Addition property of Equality
-3x=21 Multiplication Property of Equality
x=-7
Figure WXYZ is transformed using the rule. Point W of the pre-image is at (1, 6)
Answer:
d. (3, 8)
Step-by-step explanation:
the coordinates of point W " on the final image is (3 8) Solution-means first the point is translated left by 4 units and translated up by 2 units then it is reflected across y axis. (the rules follow right to left approach) The co-ordinate of point W is ( 1 6 ). After 4 units translation to left and 2 units translation to up the co-ordinates
The discriminant of 2x² + √32 x - 2 is
Answer:
The answer is 48.
Step-by-step explanation:
The formula for discriminant, D = b² - 4ac. Then you have to substitute the following values into the formula :
[tex]D = {b}^{2} - 4ac[/tex]
[tex]let \: a = 2 \\ let \: b = \sqrt{32} \\ let \: c = - 2[/tex]
[tex]D = {( \sqrt{32} )}^{2} - 4(2)( - 2)[/tex]
[tex]D = 32 + 16[/tex]
[tex]D = 48[/tex]
A
If the radius of the smallest circle is 3, find its area
Answer: [tex]9\pi[/tex]
Step-by-step explanation:
Area of a circle is [tex]\pi r^2[/tex], they give the radius 3. 3^2 is equal to 9
The diaper service where you work bills customers once a week. Each week, it charges 0.30 each for the first 75 diapers used, and .025 each for any additional diapers. How much should you bill a family that used 100 diapers last week?
Answer: The correct answer for this question is $6.55
Step-by-step explanation:
Hope this helps
Answer:
28.75
Step-by-step explanation:
Please help me with my question!!
Answer:
B
Step-by-step explanation:
When you add two fractions with an equal denominator, you can simply add together the numerators. If it is a mixed fraction, you leave the integer alone unless the sum of the numerators is greater than the denominator, in which case you rewrite the fraction appropriately.
6/19 + 1 2/19= 1+ (6+2)/19 = 1 8/19, not 1 9/19. Therefore, the correct answer is choice B. Hope this helps!
the value of 2(cos square 45 + tan square 60) is
Answer:
7
Step-by-step explanation:
Using the exact values for
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] and tan60° = [tex]\sqrt{3}[/tex] , then
2(cos²45° + tan²60°)
= 2( ([tex]\frac{1}{\sqrt{2} }[/tex] )² + ([tex]\sqrt{3}[/tex] )² )
= 2( [tex]\frac{1}{2}[/tex] + 3 ) ← distribute
= 1 + 6
= 7
Over winter break, Raymond worked 12.5 hours at the library and 20.5 hours at a café. The library paid him $13 per hour. If he earned a total of $459.75 from both jobs, how much did the café pay Raymond per hour?
Answer: the correct answers is $14.50
Step-by-step explanation:
The amount that the cafe pays per hour will be $14.50 per hour.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
As per the given,
The rate of the library = $13 per hour.
For 12.5 hours.
Earning from library = 13 x 12.5 = $162.5
Cafe pay per hour = x
For 20.5 hours.
Earning from cafe = 20.5x
Total earning = 162.5 + 20.5x
20.5x = 459.75 - 162.5
x = 14.5
Hence "The amount that the cafe pays per hour will be $14.50 per hour".
For more about the linear function,
brainly.com/question/21107621
#SPJ2
help me now asap please
Answer:
C
Step-by-step explanation:
Let's first convert both Brooke's time and Lamont's time into the same unit so that we can more easily compare them. To make it simpler, we'll convert both times into minutes.
Brooke: 1 hr 45 min
We know that there are 60 minutes in 1 hour, so we essentially have:
60 min and 45 min ⇒ 60 + 45 = 105 min
Lamont: 115 min
This is already in minutes, so we don't have to do anything to it.
We now have 105 minutes for Brooke and 115 minutes for Lamont. Let's compare:
- Since we know Brooke took 105 minutes, we can eliminate A and B.
- Clearly, 105 < 115, which means Brooke took less time that Lamont to finish the race
- If Brooke took less time, that means she's faster.
Thus, the answer is C.
~ an aesthetics lover
Answer:
Time taken by Brooke = 1h 45min
= 60min + 45min
= 105min
Time taken by Lamont = 115min
Brooke finished in 105min, so she was faster.
Option 3 is correct.
[tex]x^{2}-5x-24=0[/tex]
Quadratic Formula and solve
Answer:
x= 8, 3
Step-by-Step Explanation:
[tex]x= \frac{-(-5)^{2} +\sqrt{(-5)^2-4*1(-24)} }{2*1} =8[/tex]
[tex]x= \frac{-(-5)-\sqrt{(-5)^2-4*1(-24)} }{2*1} : -3[/tex]
Ms Adams shares out 21 pencils between Niamah and Jack in the ratio 2:5 how many pencils does each child get
Answer:
niamah : jack
2 : 5
2×3 : 5×3
6 : 15
niamah gets 6 pencils
jack gets 15 pencils
*6+15 = 21
Answer:
Step-by-step explanation:
If the ratio of Niamah to Jack is 2:5, that means that for every 2 pencils that N gets, J gets 5. If there are a total of 21 pencils, then
2x + 5x = 21 and
7x = 21 so
x = 3.
That means that N gets 2(3) which is 6, and J gets 5(3) which is 15. Notice that 6:15 is the same ratio as 2:5 when it is reduced.
I need this answered in two-column proof form. Thanks!
Answer:
You can prove that they are the same because 2 angles opposite each other are equal the same.
Hope this helps
Answer:
I answered this already for you :) Check your other question
The sum of two numbers is no more than 28. Let x represent the first number, and let y represent the second number. Which
inequality represents this situation?
O Y<X+28y
O Y<_X+28
O X+ y<28
O X+y<_28
Answer:
C
Step-by-step explanation:
There are 120 males and 180 females in Albany Tennis Club.
Write the number of males to the number of females as a ratio in its simplest form.
Between 11 P.M. and 8:45 A.M., the water level in a swimming pool decreased by 3/8 in. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
the water level drop per hour is [tex]\frac{1}{26}\,\,\frac{in}{h} \approx 0.03846\,\,\frac{in}{h}[/tex]
Step-by-step explanation:
Notice that in between 11 PM and 8:45 AM on the following day, there is a change in time equal to 9 hours and 45 minutes = 9.75 hours.
If the water level of the pool dropped by 3/8 of an inch, and the rate was constant, then the rate of level drop per hour is:
[tex]\frac{\frac{3}{8} in}{9.75\,h} =\frac{1}{26}\,\,\frac{in}{h} = 0.03846\,\,\frac{in}{h}[/tex]
A paper clip is just over 4 cm long. How many paper clips like this can be made from a straight piece of wire 10 meters long?
Answer:
25 Paper Clips
Step-by-step explanation:
100cm is equal to 1 meter. So to find the answer you would need to take the whole of the centimeter (100) and divide that by the paper clips length (4).
100/4 = 25
So, to form a straight line 10 meters long you would need 25 paper clips each 4cm long.
The number of 2,500 paper clips like the given paper clip can be made from a straight piece of wire that is 10 meters long.
What is multiplication?Multiplication is a type of mathematical operation. The repetition of the same expression types is another aspect of the practice.
For instance, the expression 2 x 3 indicates that 3 has been multiplied by two.
We can start by converting the length of the wire to centimeters since the length of the paper clip is given in centimeters:
10 meters = 10,000 centimeters
To determine the number of paper clips that can be made from the wire, we need to divide the total length of the wire by the length of each paper clip.
Number of paper clips = Total length of wire / Length of each paper clip
Length of each paper clip = 4 cm
Number of paper clips = 10,000 cm / 4 cm
Number of paper clips = 2,500
Therefore, the required number is 2500.
To learn more about multiplication;
https://brainly.com/question/19634536
#SPJ2
what is the value of x in the equation 1/4x-1/8=7/8+1/2x?
A. x=-5
B. x=-4
C. x=4
D.x=5
Answer:
B) x = -4
Step-by-step explanation:
[tex]\frac{1}{4}x-\frac{1}{8}=\frac{7}{8}+\frac{1}{2}x\\\\\frac{1}{4}x-\frac{1}{2}x-\frac{1}{8}=\frac{7}{8}\\\\\frac{1}{4}x-\frac{1}{2}x=\frac{7}{8}+\frac{1}{8}\\\\\frac{1}{4}x-\frac{1*2}{2*2}=\frac{7+1}{8}\\\\\frac{1}{4}x-\frac{2}{4}x=1\\\\\frac{1-2}{4}x=1\\\\\frac{-1}{4}x=1\\\\x=1*\frac{-4}{1}\\\\x=-4[/tex]
PLEASE HELP WILL MARK BRAINLIEST
Eight students were asked how many books they read last summer. Their answers are shown in the line plot below.
Find the range and the mode for the data.
(a)range:
(b)mode:
Answer:
(a). Range is 6 (b). Mode is 5.75
Step-by-step explanation:
Finding range: Subtract the smallest value (2) from the largest value (8).
Finding mode: Add all the values (for each "x" you add the value that it corresponds to) and then divide them by the number of x's.
help for brainetest pls
Answer:
9 554/603
Step-by-step explanation:
If you add 2/6 and 8/9 you get 554/603. You could try simplifying this answer just to check but I don't think you can simplify it.
Answer:
10 2/9
Step-by-step explanation:
Expand and simplify . 7x(5y-8)+3y(12x+9) PLEASE HELP. BEST ANSWER RECIEVES A BRIANLIEST
[tex]answer \\ 71xy - 56x + 27y \\ solution \\ 7x(5y - 8) + 3y(12x + 9) \\ = 35xy - 56x + 36xy + 27y \\ combine \: like \: terms \\ = 35xy + 36xy - 56x + 27y \\ = 71xy - 56x + 27y \\ hope \: it \: helps[/tex]
Answer:
[tex] = 71xy - 56x + 27 \\ [/tex]
Step-by-step explanation:
[tex]7x(5y - 8 )+ 3y(12x + 9) \\ 35xy - 56x + 36xy + 27 \\ 35xy + 36xy - 56x + 27 \\ = 71xy - 56x + 27[/tex]
hope this helps
What is the value of the expression 9×4−(2×12)? Enter your answer in the box.
Answer:
12
Step-by-step explanation:
9x4-(2x12)
= 36-24
= 12
