Answer:
The future value is $3793.776
Step-by-step explanation:
Given
[tex]PV = 2940[/tex] --- present value
[tex]r = 3.2\%[/tex] --- rate
[tex]t = 8[/tex] --- time
[tex]n = 4[/tex] --- quarterly
Required
Determine the future value
This is calculated using:
[tex]FV = PV(1 + \frac{r}{n})^{nt[/tex]
So, we have:
[tex]FV =2940 * (1 + \frac{3.2\%}{4})^{4*8[/tex]
[tex]FV =2940 * (1 + \frac{3.2}{400})^{32[/tex]
[tex]FV =2940 * (1 + 0.008)^{32[/tex]
[tex]FV =2940 * (1.008)^{32[/tex]
[tex]FV =2940 * 1.2904[/tex]
[tex]FV =3793.776[/tex]
Assume you start a walk at point (0, 0), facing east. You turn left and them move forward 10 steps. Next, you turn right and move forward for 8 steps. Next, you turn right and take 5 steps. Finally, you turn left and walk forward for 12 steps. At the end of your walk, what is the x value of your position, (x, y)
Answer:
x = -5
Step-by-step explanation:
The ( x , y ) values = ( -5 , 20 )
attached below is the schematic representation of the solution
following the Given path : starting from ( 0,0 ) following the arrow directions, at the end of your walk the value of x = -5
Classify the number as natural, whole, integer, rational, and/or irrational. Select all terms that are correct. Natural Whole Integer Rational Irrational V7
Answer:
irrational is the only correct term because it's not a perfect Square
I need help answering this question please help
Two parallel lines cut by a transversal are shown. What is the value of X, in degrees?
9514 1404 393
Answer:
x = 15°
Step-by-step explanation:
Same-side interior angles are supplementary.
(4x° +12°) + 108° = 180°
4x° = 60° . . . . . . . . . . . . . . subtract 120°
x = 15° . . . . . . . . . . . . divide by 4
What is the area of the 3.1 by 1.4 rectangle?
Answer: 4.34
Step-by-step explanation:
Complete the dilation centered at A with a scale factor of 1/2.
Answer:
A'=(5/2,-5/2)
therefore A'(2.5,-2.5)
Step-by-step explanation:
• metal, metal, metal, plastic, plastic, metal, plastic, plastic, plastic, plastic
.
a. Estimate the proportion of all students that prefer to use a metal pen. Make your thinking visible.
Answer:
The estimate of the proportion of all students that prefer to use a metal pen is 0.4.
Step-by-step explanation:
The estimate of the proportion is the sample proportion.
In the sample:
10 students
4 use a metal pen. So
[tex]p = \frac{4}{10} = 0.4[/tex]
The estimate of the proportion of all students that prefer to use a metal pen is 0.4.
Plz help me well mark brainliest if correct......?
Answer:
It think it is A brainliest?
Step-by-step explanation:
what is the distance between the first integer that is less than square root 40 amd the first integer that is greater than square root of 125?
Answer:
6
Step-by-step explanation:
[tex]\sqrt{40} = 6.32 so 6 \\\sqrt{125} = 11.18 so 12\\12 - 6 = 6[/tex]
Jaclyn has these belts in her closet.
• 4 leather belts
• 3 plastic belts
• 10 canvas belts
• 6 rubber belts
• 1 denim belt
Jaclyn will randomly choose a belt, put it back, and choose another belt. What is the
probability that she will choose a plastic belt and then a canvas belt? (Lesson 10)
F
13
24
H
5
96
G
5
16
J
25
Answer: 13/24
Step-by-step explanation:
Number of leather belts = 4
Number of plastic belts = 3
Number of canvas belts = 10
Number of rubber belts = 6
Number of denim belt = 1
Total belts = 24
The probability of choosing a plastic belt and then a canvas belt will be:
= P(plastic) + P(canvas)
= 3/24 + 10/24
= 13/24
Find the surface area of the following figures.
with solution please. T-T
Answer:
I will do 1 2 3 and 5 for you:
Since a cube has a given length of 5, we know that all sides will be the same therefore your lengths will be the same.
There are 6 sides of a cube so,
5 x 5 = 25 area of one flat surface.
Now 25(an area of one flat surface) x 6(flat surfaces) = 150 cm for question 1
We need to find area of the two circles:
3(given radius)^2(radius being squared) x 3.14(pi)
3 x 3 = 9
9(after radius being squared) x 3.14(pi) = 28.26(area of one circle)
28.26 x 2 = 56.52 (area of 2 circles)
Now we need to find the round surface, but first we need to find circumference:
2 x 3.14 x 3 = 18.84
18.84(circumference) x 5(height) = 94.2 (area of round surface)
Now lets add all the given areas to find surface area:
56.52 + 94.2 = 150.72 cm^2 is your answer for question 2
2 x 4 = 8
8 x 2 = 16
4 x 5 = 20
20 x 2 = 40
2 x 5 = 10
10 x 2 = 20
Add all given areas:
16 + 40 + 20 = 76 cm^2 is your answer for question 3
452.16 cm^2
4 x 3.14 x 6^2
4 x 3.14 x 36 = 452.16 cm^2 is your answer for question 4
8 x 4 = 32, 32 divided by 2 = 16
since there are 4 sides,
4 x 16 = 64
Don't forget the bottom!
4x 4 = 16
Lets add the given areas:
64 + 16 = 80 for question 5
can someone pls help i dont get any help here anymore
yly 115°x X y = [? ]
Answer:
x = 65°
y = 25°
Step-by-step explanation:
x = 180-115 which equals 65°
y = 180-(90+65) which equals 25°
Can somebody help me please
Answer:
A. 34/40
Step-by-step explanation:
dion places a ladder against The side of his house as shown in the diagram below. Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, represented by zero
Complete question :
dion places a ladder against The side of his house as shown in the diagram below. Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, How high does the ladder reach up the side of the building?.
Answer:
24.43 feets
Step-by-step explanation:
Using trigonometry :
Sinθ = opposite / hypotenus
Opposite = height, h
Hypotenus = 26
Sin 70° = h / 26
0.9396926 * 26 = h
height, h = 24.43 feets
The sine rule is the ratio of the height and hypotenuse. Then the height of the wall is 24.43 ft.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
Dion places a ladder against the side of his house as shown in the diagram below.
Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, represented by zero.
We have
Hypotenuse (H) = 26 ft
Let h be the height of the la
Then the height of the wall will be given by the sine rule.
[tex]\rm h = H sin \ \theta \\\\h = 26 * sin \ 70^o\\\\h = 24.43 \ ft[/tex]
The height of the wall is 24.43 ft.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
no links Pwease help this is very important I will give you brain thing if its correct ♡
Answer:
B, C
Step-by-step explanation:
What is the distance between the points (6, 4) and (-3, 17)?
A) 22
B) √250
C) 125
D) √88
please help!
writing in terms of i
Given:
The term is [tex]\sqrt{-80}[/tex].
To find:
The simplified form of the given term in terms of i.
Solution:
We have,
[tex]\sqrt{-80}[/tex]
It can be written as:
[tex]\sqrt{-80}=\sqrt{80\times (-1)}[/tex]
[tex]\sqrt{-80}=\sqrt{80}\times \sqrt{-1}[/tex]
[tex]\sqrt{-80}=\sqrt{16\times 5}\times i[/tex] [tex][\because \sqrt{-1}=i][/tex]
On further simplification, we get
[tex]\sqrt{-80}=\sqrt{16}\times \sqrt{5}\times i[/tex]
[tex]\sqrt{-80}=4\times \sqrt{5}\times i[/tex]
[tex]\sqrt{-80}=4\sqrt{5}i[/tex]
Therefore, the required term is [tex]4\sqrt{5}i[/tex].
A bake
sale committee wants to raise $186 for a donation to a local charity they set a size $12 of their profit at the end of each day how many days will it take them to raise enough money for the whole donation
Answer:
15 and a half days
Step-by-step explanation:
Since they earn $12's each day you would do $186 divided by $12 which would be 15.5 so it would take them 15 and a half days to raise $186.
Answer:
Sorry if this is late, but I hope you understand now.
Step-by-step explanation:
It's 16 days actually, if you divide 186 divided by 12, it's 15.5 we can say, that 5 should be rounded up or down. 15.5 is a fraction of 15/5 so if we rounded it, it would be 16. That's our newer version of rounding. 5 is higher, 4 is lower. Use that to help you :) I hope you understand even though it late
An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques. There are 75 students in the school who can participate in the experiment. Using a table of random digits, the researcher will randomly place the students into five equally sized treatment groups suitable for comparison.
Which number range would be needed to label the students correctly?
0–4
1–5
00–75
01–75
Answer: The answer is 01 - 75.
Step-by-step Explanation: 0 - 4 and 1 - 5 aren't enough. 00 - 75 is actually 76 students and that isn't what is stated in the insert so it's 01 - 75 because it accounts for all 75 students no less and no more.
1-75 is the range needed to label the students correctly.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given,
An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques.
There are 75 students in the school who can participate in the experiment.
0 - 4 and 1 - 5 aren't enough.
0 - 75 is actually 76 students and that isn't what is stated in the insert so it's 01 - 75 because it accounts for all 75 students no less and no more.
Hence, 1-75 is the range needed to label the students correctly.
To learn more on Statistics click:
brainly.com/question/29342780
#SPJ2
Tonya and Emily each have an online jewelry store. Let T represent the amount of money Tonya earns daily, and let
E represent the amount of money Emily earns daily. The mean difference, D = T-E, of the amount of money that
Tonya and Emily earn on a typical day is $312. What is the correct interpretation of this value?
O On average, Tonya earns $312 daily.
O Emily is earning $312 per customer, on average.
O Tonya and Emily are each earning $312 on a typical customer.
On average, Tonya makes $312 more than Emily on a typical day.
Answer:
On average, Tonya makes $312 more than Emily on a typical day.
Step-by-step explanation:
I was just studying that question a few hours ago
If they sell 150 series A and 14500 series B ticket, they will earn $972500. write an equation to represent this scenario.
Answer:
Series A price = SA || Series B price = SB
150SA + 14500SB = 972500
Step-by-step explanation:
la quinta parte de un numero aumentado a 5
Please help, photo is attached. Thanks!
In Greenville, the library is due south of the courthouse and due west of the community swimming pool. If the distance between the library and the courthouse is 7 kilometers and the distance between the courthouse and the city pool is 25 kilometers, how far is the library from the community pool?
Answer:
24 km
Step-by-step explanation:
this is a right triangle
use the pythagorean theorem
a² + b² = c²
a² + 7² = 25²
a² + 49 = 625
Subtract 49 from both sides
a² = 576
Take the square root of oth sides
a = 24
24 km
Explain how you use a net to find the surface area of a prism.
Answer:
Hello, Here is your answer.
Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism. For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units.
Answer:
Step-by-step explanation:
By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.
A circle has a radius of 4 inches. What is
the circumference?
A.25.12 inches
B.12.56 inches
Answer:
4 x 3.14 x 2 = 25.12 inches
Step-by-step explanation:
Formula of circumference:
3.14(pi) x 2(the number is just always there when finding circumference) x radius(half of your diameter or just your given radius).
Which expression is equivalent to 4x^-2+3x^-5?
A.7x^-7
B.12x^10
C.7
—
x^7
D.4x^3+3
————
x^5
E.4x^5+3
————
x^7
Answer:
7x^-7, that is the answer
Find the product of 2 numbers whose sum is 11 and difference is 3
Answer:
28
Step-by-step explanation:
x,y
X+y=11
X-y=3
x=y+3
y+3+y=11
2y=8
y=4
X=7
Xy=28
Answer:
7+4=11
7-4=3
7×4=28
Step-by-step explanation:
...................................
I need help find the volume of the composite solid use 3.14 for pi
Answer:
[tex]222.312\:\mathrm{in^3}[/tex]
Step-by-step explanation:
The composite solid consists of a cylinder and a cone. Therefore, its total volume will be the sum of the volumes of the cylinder and cone:
Volume of the cone: [tex]\frac{1}{3}\cdot 2^2\cdot 3.14\cdot 8.1 =33.912[/tex]
Volume of the cylinder: [tex]2^2\cdot 3.14 \cdot 15=188.4[/tex]
Thus, the total volume of the solid is:
[tex]33.912+188.4=\boxed{222.312\:\mathrm{in^3}}[/tex]
Tanya walks dogs. She earns $10.50 for each dog she walks. She wants to go to a
concert that costs $157.50. Write an equation relating the number of dogs she needs
to walk to the amount of money she earns. Find how many dogs Tanya needs to walk
to go to the concert. Let n be the number of dogs Tanya walks.
HELPPPPPP!!!!
Answer:
Tanya must walk 15 dogs
Step-by-step explanation:
10.50x=157.50
x=157.50/10.50
x=15