The amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.
The total amount to be withdrawn in a year = 15265*2 = $30530
The total amount to be withdrawn in 35 years =$1068550
What is the compound interest?Compound interest is interest on interest along with interest on the principle.
Annual Rate of interest = 4.5%
Semi-annual rate of interest r=2.25%
Amount A= $1068550
[tex]1068550 =P(1+\frac{2.25}{100})^70[/tex]
[tex]P = $225093.358[/tex]
Therefore, the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.
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A gas station sells motor oil in 2-liter bottles. The gas station sold 6 bottles of oil each day for 8 days.
How many liters of motor oil did the gas station sell in these 8 days?
Answer:
96 liters
Step-by-step explanation:
Two liters are in each bottle, so that means they sold 12 bottles of oil each day. Multiply that with 8 days to get the answer:
12 × 8 = 96
Ninety-six liters.
12) 26 in
17 in
13) 28 ft
20 ft
14) 27 mm
34 mm
Answer:
#12=442
#13=560
#14=918
Step-by-step explanation:
26x17=442
28x20=560
27x34=918
Answer:
Step-by-step explanation:
I will answer only a few
12.) the area of a triangle is half its base times its height
[tex]\frac{1}{2} *17 * 26[/tex]
= 17 * 13
= 221
13.) 1/2 * 20 * 28
= 10 * 28
=280 cm^2
7(4-x) how do I do this problem
Answer:
28-7xStep-by-step explanation:
You distribute 7 and 4 and 7 and the xHopes this helps.k (a+b) = k*a + k*b
so
7 (4-x) = 7*4 + 7*(-x) = 28 - 7x
Find the area of the shaded region. Round to the nearest tenth where necessary (1 decimal places).
A=
14 in
8 in
5 in
25 in
Answer:
5 in
Step-by-step explanation:
The area of a composite shape: area of the bigger shape - the area of the smaller shape.
In this case, the bigger shape is the shaded region, and the smaller shape is the unshaded region.
1) Shaded region (bigger shape): 2(area of a trapezium) + area of the rectangle.
Area of a trapezium: 1/2 x (a + b) x h, where a and b are parallel lines and h is the height. We have to times the answer by 2 because there are two trapeziums in the shaded region.
Area of a rectangle: l x w, where l is the length and w is the width.
Trapeziums
= 1/2 x (3 + 8) x 5.5 x 2
= 1/2 x 11 x 5.5 x 2
= 1/2 x 60.5 x 2
= 30.25 x 2
= 60.5
Rectangle
= 14 x 3
= 42
Area of the shaded region (bigger shape): trapezium + rectangle
= 60.5 + 42
= 102.5
2) Unshaded region (smaller shape):
Area of a trapezium: 1/2 x (a + b) x h, where a and be are the parallel lines.
= 1/2 x (14 + 25) x 5
= 1/2 x 39 x 5
= 1/2 x 195
= 97.5
3) Area of the bigger shape - the area of the smaller shape
= 102.5 - 97.5
= 5 in²
What is the radius of a circle (rounded to the nearest tenth) that has an area of 48?
Answer:
3.9
Step-by-step explanation:
Use the formula A = πr^2 (area of a circle = Pi times radius squared)
Plug in what we know:
48 = πr^2 (first, divide 48 by Pi = that would equal 15.27887 continued, round it to the nearest tenth and you would get 15.3)
15.3 = r^2 (now, we find the square root of 15.3, 3.9115 continued, round it to the nearest tenth, and it will be 3.9)
3.9 = radius
The radius of the circle (rounded to the nearest tenth) is 3.1.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
The formula for the area of a circle is A = πr², where A is the area and r is the radius.
We can use this formula to solve for the radius of the circle with an area of 48:
A = πr²
48 = πr²
Dividing both sides by π gives:
r² = 48/π
Taking the square root of both sides gives:
r = √(48/π)
r ≈ 3.1
Therefore, r ≈ 3.1.
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a yard is a shape of a triangle the height is 35 ft, and the width of 50 ft. what is the area.
Answer:
1,750
Step-by-step explanation:
35x50 that's the entire process
6:4 is equivalent to ___:24.
What number do you think should go on the blank?
Answer:
36:24
Step-by-step explanation:
The second number was :24, and you started out with 6:4.
To get the 24, you would have to multiply the 4 by 6 to get the 24.
So, multiply the first number 6, as well by 6.
6 x 6 = 36
36:24
:)
Answer: 36
Step-by-step explanation: 6:4 = __:24
1. 4 goes into 24, 6 times because 4x6=24 so you have to multiply 6 to 6 and 6x6=36.
Divide and simplify if possible sqrt 250x^16/sqrt 2x.
Answer:
125x^15
Step-by-step explanation:
Hope this helps! :)
a store is having a clearance special and every item is 20% off what is the sale price of a 230 suit
Answer:
184
Step-by-step explanation:
80% of 230
0.8x230
8×23
=184
Which function has the given properties below? The domain is the set of all real numbers. One x-intercept is (2 pi, 0). The amplitude is 4. The point (StartFraction pi over 2 EndFraction, negative 4 EndFraction) is on the graph. The y-intercept is (0, 0). Y = –4sin(x) y = –4cos(x) y = 4sin(x) y = 4cos(x).
The functions y = -4sin (x) and y = 4sin (x) has the given properties.Functions help to define the relationship between the independent and the dependent variable.
What is function?A expressions defining a connection between the independent variable and dependent variable is known as the functions.
A feature that:
The domain is defined as the set of all real numbers.
a single x-intercept
The amplitude is four.
The y-intercept is defined as (0,0)
Because the specified function goes through the functions having "cosine," the functions containing "cosine" can be omitted from the selections (0,0). As a result, we have two options:
Hence y = -4sin (x) and y = 4sin (x) has the given properties.
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Answer:
A) y = -4sin(x)
Step-by-step explanation:
Just took the quiz on edge 2022
Rebecca is calculating her expected expenses for her week long trip to Thailand. Her plane ticket costs 22,885 baht, her lodging costs 15,307 baht, and she has set aside 29,071 baht for food and spending money. What is Rebecca’s total expense? a. 128,071 baht b. 67,263 baht c. 21,493 baht d. 9,121 baht.
Answer:
The answer is B because you add up the 3 expenses
Step-by-step explanation:
Add the three expenses
The total expected expense of Rebecca for her week long trip to Thailand is given by: Option B: 67,263 baht
How to calculate total expense?Total expense shows the overall expense for the thing we're expending for. We add all the expenses to get the total expense.
For this case, we're given that:
Cost of plane tickets = 22,885 bahtCost of lodging = 15,307Cost for food and other expenses = 29,071So, total expected expense is sum of all these expenses.
Total expected expense = 22885 + 15307 + 29071 = 67263 baht
Thus, the total expected expense of Rebecca for her week long trip to Thailand is given by: Option B: 67,263 baht
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A ball is thrown from an initial height of 4 feet with an initial upward velocity of 33 ft/s. The ball's height h (in feet) after t seconds is given by the following.
h= 4 + 33t - 16t^2
CAN SOMEONE PLEASE PLEASE HELP ME
Find all values of t for which the ball's height is 20 feet.
Round your answer(s) to the nearest hundredth.
Answer:
Two methods both tell us the ball is at 20 feet height at 0.783 seconds going up and 1.28 seconds on the way down.
Step-by-step explanation:
The question can be answered by either calculation or by graphing.
Calculation:
Set the equation to h = 20 feet and solve with the quadratic equation.
h= 4 + 33t - 16t^2
4 + 33t - 16t^2 = 20
- 16t^2 + 33t + 4 = 20
- 16t^2 + 33t - 16 = 0
I find solutions of 0.779 and 1.28 seconds.
Graphing:
See the attached graph.
The graph shows solutions of 0.783 and 1.28 seconds.
Both methods show the ball to be at 20 feet height at 0.783 seconds going up and 1.28 seconds on the way down.
Help Anyone please? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Which system represents the statements below?
The sum of two numbers is 10. One number is five times the other.
Answer:
the answer is c
Step-by-step explanation:
y = 5x
as it says x + y = 10
so one number which is represented as x is times 5 as the other which brimg to our answer y =5x
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:
Likes hamburgers Does not like hamburgers Total
Likes burritos 38 77
Does not like burritos 95 128
Total 134 71
Part A: What percentage of the survey respondents do not like both hamburgers and burritos? (2 points)
Part B: What is the marginal relative frequency of all customers that like hamburgers? (3 points)
Part C: Use the conditional relative frequencies to determine which data point has strongest association of its two factors. Use complete sentences to explain your answer. (5 points)
Answer:
A:
18.5%
B:
124 / 205
C:
75 / 113. 66.4% Strongest
49 / 92. 53.2% Middle
38 / 81 46.9% Weakest
75 / 113 is the strongest because it has the highest percentage fore the conditional relative frequencies. The others are weaker because they have as high of a percentage.
Step-by-step explanation:
The answers are shown below:
What is Conditional relative frequency?A conditional relative frequency compares a frequency count to the marginal total that represents the condition of interest.
a) Out of 205 people, 38 like neither, hence:
Percentage= 38/ 205 *100= 18.54%
b) Out of the 205 participants, 205 - 81 = 124 like hamburgers, hence:
= 124 / 205
=0.6049
c)The table is, dis considering the totals:
49 - 43
75 - 38
Due to the higher total, the data that has the strongest association of its two factors is liking hamburgers and not liking burritos.
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a kite is 50 m high when 200 m of sting is let out. what angle does the kite string make with the ground to the nearest tenth of a degree?
the angle between the kite string and the ground is ?
Check the picture below.
Make sure your calculator is in Degree mode.
I need help please provide the steps
Answer:
1/[tex]\sqrt{2}[/tex] - 1/4
Step-by-step explanation:
We can write 2[tex]\sqrt{8}[/tex] as 2*[tex]\sqrt{4}[/tex]*[tex]\sqrt{2}[/tex]
That becomes 4[tex]\sqrt{2}[/tex], since the square root of 4 is 2 (±2, to be exact)
(4/(4[tex]\sqrt{2}[/tex]) - ( [tex]\sqrt{2}[/tex]/4[tex]\sqrt{2}[/tex])
1/[tex]\sqrt{2}[/tex] - 1/4
Find the value of x. Round to the nearest tenth of a unit. Show work.
Answer:
x = 41.16
Step-by-step explanation:
The value of the top angle in the triangle is equal to 90° - 27° = 63° as they are complementary anglesTo find x, take the tan ratio of the angletan63° = 1.96tan63° = x/21⇒ x/21 = 1.96⇒ x = 21 * 1.96⇒ x = 41.16Answer:
x=41.2
Step-by-step explanation:
Assuming that the dotted line and the vertical line form a 90 degree angle, we can find the angle measurements of the triangle.
Since there is a 90 degree angle formed between the dotted line and the vertical line, subtracting 27 from 90 will get us the angle measure of one of the vertex of the triangle.
90-27=63 degrees
Now we can use trig. ratios to help us figure out the missing side.
tan(63)=x/21
x=tan(63)*21
x=41.21482062
x=41.2
Hope this helps!!!
What is the Inverse of function ?
f(x) = (3-x)/7
Answer:
y = -7x+3
Step-by-step explanation:
We can write the function as
y = (3-x) / 7
To find the inverse of this function we have to do 2 things
a. change x with y and y with x and
b. find the y
a. y = (3-x) / 7, change x with y and y with x
x = (3-y) / 7, multiply both sides by 7
b. 7x = 3-y, subtract 3 from both sides
7x-3 = -y, multiply both sides by -1
-7x+3 = y
The inverse function of
f(x) = (3-x)/7 is [tex]f^{-1} (x) = -7x + 3[/tex]
What is the measure of
Answer:
since it goes down a certain way and it goes down then B will go the same way as a evil ghost literally down to the phone the top right to the left like see if I just a little bit shorter Jay will go all the way up to age and we will go to k
if 10x+6 = 21 then what is 15
Answer:
The answer is
→ 1.5 or 10x = 15
Step-by-step explanation:
Since 10x + 6 = 21 and we supposed to find what 15 is, we would have to use these steps;
First subtract 6 on both sides
10x + 6 - 6 = 21 - 6
= 10x = 15
Another way I know the other answer is by multiplying 10 by 1.5 which equals 15.
( Pls help ASAP) Will give 20 points if you answer 2 questions))
Answer:
1. -3 2. y=-1
Step-by-step explanation:
help me please lease
Answer:
m = 4
Step-by-step explanation:
(80, 40) and (90, 80)
40/10= 4
Answer:
4
Step-by-step explanation:
choose two points
I chose (80,40) and (90,80)
(80-40)÷(90-80)
40/10
4
You drop a stick from a height of 64 feet. At the same time, your friend
drops a stick from a height of 144 feet.
a. After how many seconds does your stick hit the ground?
b. How many seconds later does your friend's stick hit the ground?
Using a quadratic function, it is found that:
a) It hits the ground after 2 seconds.
b) Your friend's stick hits the ground 0.83 seconds later.
What is the quadratic function for the projectile's height?It is given by:
[tex]s(t) = -16t^2 + v(0)t + h(0)[/tex]
In which:
v(0) is the initial velocity.h(0) is the initial height.Item a:
Dropped at rest from a height of 64 feet, hence v(0) = 0, h(0) = 64, so the equation is:
[tex]s(t) = -16t^2 + 64[/tex]
It hits the ground when s(t) = 0, hence:
-16t^2 + 64 = 0
t^2 = 4
t = 2.
It hits the ground after 2 seconds.
Item b:
For your friend, we have that h(0) = 144, hence:
-16t^2 + 144 = 0
t^2 = 8.
t = 2.83.
2.83 - 2 = 0.83.
Your friend's stick hits the ground 0.83 seconds later.
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I just need to fill the table out
Answer:
for cosine: 1, 0.97, 0.87, 0.71, 0.5, 0.26, 0..... for sine: 0, 0.26, 0.5, 0.71, 0.87, 0.97, 1.
Step-by-step explanation:
Calculator for Cos, reverse them for Sine.
Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?
Answer: C
Step-by-step explanation:
pls help me thank you very much and if your gonna put a wrong answer dont waste my time
Answer:
60 degrees
Step-by-step explanation:
well, angle x is on a line with a little square that means 90 degrees and a 30 degree angle, so you would simply add those two angles together 90+30=120 and then subtract by 180 because a straight line is always 180 degrees which is 180-120=60 degrees.
point grab lol
Two friends share a protein bar which weighs 7 ounces. Each friend eats the same amount of the protein bar. Between which two
whole numbers does the number of ounces of the protein bar that each friend eats lie?
HELP
Sorry but no speek English
Answer:
3 and 4
Step-by-step explanation:
3.5 ounces is 7/2 so if they eat the same amount they would both eat 3.5 ounces.
Solve for x in the trig function
Step-by-step explanation:
cos(81) = x/sqrt(7)
x = sqrt(7)×cos(81) = 0.413886691...
HELP ASAP WILL GIVE BRAINLIEST!!!
Answer:
1222 ft^2
Step-by-step explanation:
2(13x9) + 2(5x12) + 2(4.5x9) + 2(9x11) + 2(19x11) + (19x9)
What is X?
(x+22) 2x
(Need help)
Answer:
nasa pic yung sagot
hope its help