Evaluando una ecuación exponencial, veremos que luego de 5 años el capital se convierte en $12,884.08
¿En cuánto se convierte el capital?Esta situación se podra modelar con la ecuación exponencial:
f(n) = $8,000*(1 + 10%/100%)ⁿ
Donde n es el número de años.
Podemos simplificar la ecuación para obtener:
f(n) = $8,000*(1.1)ⁿ
Ahora queremos ver el valor que toma esto cuando n = 5, asi obtenemos:
f(n) = $8,000*(1.1)⁵ = $12,884.08
Así que luego de 5 años, el capital se convierte en $12,884.08.
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Can u help me pls i will be putting some more problems
look the image
Step-by-step explanation:
2x + 28° + 90° = 180° ( The sum of all angle of triangle is 180° )
Now you may add 28° and 90° and subtract it from 180° ...
2x = 62° ..
Now...divide 62 by 2 ...
x = 31°
hence the value of x is 31°....
The scale factor between two similar figures is given. The surface area and volume of the smaller figure are given. Find the surface area and volume of the larger figure.
scale factor = 2:7
SA= 8 cm²
V = 128 cm³
A) SA=98 cm², V = 5488 cm³
B) SA= 686 cm², V = 5488 cm³
C) SA= 98 cm², V = 686 cm³
D) SA=98 cm², V = 784 cm³
E) SA 14 cm². V = 112 cm³
the width of a rectangular prism is 7cm, height is 5cm and length is 13 cm. find the volume
The volume of the given rectangular prism.
Solution:[tex]\huge\boxed{Formula: lwh}[/tex]
To find the the volume we'll have to multiply the height, width and length.
[tex]V=\: 13×7×5 [/tex]
[tex]\large\boxed{V= \:455\: {cm}^{3}}[/tex]
Therefore, the volume of the given rectangular prism is 455 cubic centimeters.
If R is (-4, 7) and S is (-2, 12), what is the component form of the vector R.S?
(8,84)
(2,5)
(-6, 19)
(-3,9.5)
Answer:
(2, 5)
Step-by-step explanation:
Given:
R = (-4, 7)S = (-2, 12)To find the components of [tex]\overrightarrow{RS}[/tex] we need to go from R to O and then O to S. Remember that [tex]\overrightarrow{RO}[/tex] is the negative of [tex]\overrightarrow{OR}[/tex]. Therefore:
[tex]\begin{aligned} \displaystyle \overrightarrow{RS} & =\overrightarrow{RO}+\overrightarrow{OS}\\& = \overrightarrow{OS}-\overrightarrow{OR}\\& =\binom{-2}{12}-\binom{-4}{7}\\& =\binom{2}{5}\end{aligned}[/tex]
Therefore, the component form (x, y) of the vector [tex]\overrightarrow{RS}[/tex] is (2, 5)
19
Select the correct answer.
A developer buys an empty lot to build a small house. What is the area of the lot?
Area of the plot = 193 sq.yd. , Option B is the correct answer.
What is Area ?
Area is the space occupied by a flat surface or an object .
It is measured in square units
It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.
It is given that
A developer buys an empty lot to build a small house.
area of the lot = ?
The figure is incomplete and the complete figure is attached with the answer.
To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure
Area of the first triangle = (1/2) * base * height
By Calculation
base = 17 unit and height = 10 unit
= (1/2) * 17 * 10
= 17*5
=85 sq.unit
Area of the second triangle = (1/2)* 9* 8
=36 sq. unit
Area of the rectangle = base * height
base = 9 unit and height = 7 unit
Area = 9*7= 63 sq.unit
Area of the last triangle = (1/2) * 2*9
= 9 unit
The area of the plot = 85+36+63+9
Area of the plot = 193 sq.yd.
Therefore , Option B is the correct answer.
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Answer:
Step-by-step explanation:
Area of the plot = 193 sq.yd. , Option B is the correct answer.
What is Area ?
Area is the space occupied by a flat surface or an object .
It is measured in square units
It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.
It is given that
A developer buys an empty lot to build a small house.
area of the lot = ?
The figure is incomplete and the complete figure is attached with the answer.
To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure
Area of the first triangle = (1/2) * base * height
By Calculation
base = 17 unit and height = 10 unit
= (1/2) * 17 * 10
= 17*5
=85 sq.unit
Area of the second triangle = (1/2)* 9* 8
=36 sq. unit
Area of the rectangle = base * height
base = 9 unit and height = 7 unit
Area = 9*7= 63 sq.unit
Area of the last triangle = (1/2) * 2*9
= 9 unit
The area of the plot = 85+36+63+9
Area of the plot = 193 sq.yd.
Therefore , Option B is the correct answer.
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Find the length of side b below using Law of Sines. Give the exact value as an expression and an approximation to the nearest tenth.
Answer:
b ≈ 7.8
Step-by-step explanation:
using the law of sines
∠ A = 180° - 105° - 40° = 180° - 145° = 35° , then
[tex]\frac{b}{sin40}[/tex] = [tex]\frac{7}{sin35}[/tex] ( cross- multiply )
b × sin35° = 7 × sin40° ( divide both sides by sin35° )
b = [tex]\frac{7sin40}{sin35}[/tex] ≈ 7.8 ( to the nearest tenth )
Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a variance of 4,000,000 and a mean life span of 19,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 20,179 hours. Round your answer to four decimal places.
Using the normal distribution, it is found that there is a 0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 19000, \sigma = \sqrt{4000000} = 2000[/tex]
The probability that the life span of the monitor will be more than 20,179 hours is one subtracted by the p-value of Z when X = 20179, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{20179 - 19000}{2000}[/tex]
Z = 0.59.
Z = 0.59 has a p-value of 0.7224.
1 - 0.7224 = 0.2776.
0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.
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logan trades 50 pennies for nickels he gets a nickel for each group of 5 pennies what equation can be used to find how many nickels logan uses
The equation that can be used to find how many nickels logan uses is: 50÷5.
Equation to find the number of nickelsGiven:
Total pennies=50
Logan got a nickel of 5 pennies=1
Hence:
Number of nickels=1÷5×50
Number of nickels=50÷5
Number of nickels=10 nickels
Therefore the equation that can be used to find how many nickels logan uses is: 50÷5.
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The base area of a rectangular water tank is 1000cm². If the tank has a height of 100cm' a) Find the capacity of the water tank.
The capacity or volume of the rectangular water tank is 100000 cm³.
How to find the volume(capacity) of a water tank?volume of a rectangular water tank = base area × height
where
base area = lwTherefore,
base area = 1000 cm²
height = 100 cm
Therefore,
capacity(volume) of the water tank = 1000 × 100 = 100000 cm³
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What’s the result of adding these two equations? Please help
Answer:
u should subract those not add
a running relay team ran a 400 meter race in a record-setting time of 36 seconds.what was their average speed to the nearest tenth of a meter per second?
Answer:
406858reuyy igcbjiy469633Find each square root after supplying:
Answer:
1) 5
2) 0.8
3) -1.3
4) -[tex]\frac{4}{9}[/tex]
5) ±10
6) ±[tex]\frac{7}{12}[/tex]
Step-by-step explanation:
3x-2y=12
6x-4y-24
OIt has infinitely many solutions.
OIt has no solution.
O It has one solution (2, -3).
O It has one solution (4, 0).
The rule is "Multiply by 8." Which statement is true? Number of Packages 3 5 6 8 Number of Juice Boxes 24 40 48 ? A. The number of juice boxes will always be greater than 24. B. The number of packages will always be greater than the number of juice boxes. C. The number of juice boxes must be an even number. D. The number of juice boxes will always be 21 more than the number of packages.
I need the answer ASAP!
The statement (C) the number of juice boxes must be an even number is correct.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a rule is “Multiply by 8"
Number of Packages: 3 5 6 8
Number of Juice Boxes: 24 40 48
The statements are:
A. The number of juice boxes will always be greater than 24. B. The number of packages will always be greater than the number of juice boxes. C. The number of juice boxes must be an even number. D. The number of juice boxes will always be 21 more than the number of packages.Number of package starts from 3
Applying the rule: "Multiply by 8.
Number of Juice Boxes = 3×8 = 24
The statement should be the number of juice boxes will always be greater than and equal to 24.
When we multiply even with odd we get an even number.
8 is an even number.
Thus, the statement (C) the number of juice boxes must be an even number is correct.
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Worth 20 points! Drag each length to the correct location on the triangle. Each length can be used more than once, but not all lengths will be used.
What are the missing side lengths for triangle ABC?
(file is attached below!
The value of the perpendicular is 12 and the hypotenuse is 8√3.
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The value of the sides will be calculated as:-
The perpendicular side will be calculated by using tan theta.
tan Ф = Perpendicular / BAse = P / 4√3
P = 4√3 x tan(60)= 4 √3 x √3 =12
The value of the hypotenuse will be calculated by using the Cos angle:-
Cos 60 = Base \ Hyputenuse.
Cos 60 = 4√3 / Hypotenuse
1 / 2 = 4√3 / Hypotenuse
Hypotenuse = 2 x 4 x √3 = 8√3
Therefore the value of the perpendicular is 12 and the hypotenuse is 8√3.
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What is true about the solution to the system of inequities shown?
-2 -5-4-3-2-1, y≤x-1 y≤ x-3 O All values that satisfy y ≤ x-1 are solutions. All values that satisfy y ≤x-3 are solutions. O All values that satisfy either y≤ x-1 or y≤ x-3 are solutions. There are no solutions. Save and Exit Mark this and return V Next Sube
The true solution to the system of inequities shown is B; All values that satisfy [tex]y \leq \dfrac{ 1}{3}x - 3[/tex] are solutions.
What is a system of inequalities?When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalities.
A collection of inequalities for which we consider a common solution for all inequalities is called a system of inequalities.
If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.
A set of such values is called a solution set to the considered equation or inequality.
The true solution to the system of inequities shown is B;
All values that satisfy [tex]y \leq \dfrac{ 1}{3}x - 3[/tex] are solutions.
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Find c. Give your answer in
the simplest form.
c = [?]V []
d
7V2
a
45
30
b
C
Enter the number that belongs in
the green box.
Answer:
see the attachment photo!
ill give brainliest, help
Answer:
2 up 3 run
Step-by-step explanation:
just count the squares until u reach a part where the line touches again
Find the area of a regular polygon with 5 sides that has a side length of 6 inches and an apothem of 9 inches.
Area = [?]in2
Answer:
see the attachment photo!
Answer: The correct answer is 135 in².
Step-by-step explanation: An area of a polygon is this:
Area = (number of sides × length of one side × apothem)/2
(5 x 6 x 9) / 2 = 135
what is the product of -2/7and-3/7
Step-by-step solution.2/7 × 3/7=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
2×37×7 =6/49
This fraction cannot be reduced.
Therefore:
2/7×3/7=6/49
Solution by formals.
Apply the fractions formula for multiplication, to
2/7×3/7
and solve
2×37×7=6/49
Therefore:
2/7×3/7=6/49
Bryannasalaz
A solid cylinder has a radius of rm and a height of 12 m.
The volume of the cylinder is 507 m³.
Find the value of r.
Answer:
6.5m
Step-by-step explanation:
V=TTr²h
507TT=TTr²12
cancel TT on both sides
507=12r²
169\4=r²
r=13/2
Sammi has $125.75 in her savings account. She deposits $25.50 into the account each month for the next 6 months.
How much is in Sammi's account at the end of the 6 months?
Enter Your answer into the box
Answer:
i think the answer is 278.75
A system of two equations is shown below. What will you need to multiply the
top equation by in order to solve this system using the elimination method?
x + y = 4
3x+4y=14
A. 3
OB. 4
C. -2
D. -3
Based on the work below, is (4, 7) a solution to the equation given?
Answer:
No
Step-by-step explanation:
If a ordered pair is a solution for an equation, then it will satisfy the equation. That is, after substituting the x and y values in the equation, both sides of the equation will be same.
Here 29 ≠ 45.
So, (4,7) is not a solution
Determine the number of triangles that can be constructed given the conditions in a-d.
a. m
b. Three line segments measure 21 inches, 7 inches, and 4 inches → _
c. RS = 14 cm, m
d. m
Only b we can check
Line lengths are 21in,7in,4inThe rule is sum of two sides must be greater than third side
Check
21+7>47+4<2121+4>7They can't form a triangle
30 POINTS FOR THE BRAINLIEST!!!!!
Find the exact value of x and y. (Do not round - no decimals)
Answer x = ____ units
Answer y = ____ units
Explain how you found side length measure below. Be sure to show all of your work.
Jasmine played in a basketball tournament. The ratio of the number of baskets she missed during the tournament to the number of baskets she made is 3:8. If Jasmine missed 9 baskets during the tournament, how many baskets did she make? Draw a diagram to demonstrate how you found your answer.
A ratio shows us the number of times a number contains another number. The number of baskets Jasmine made is 24.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of the number of baskets she missed during the tournament to the number of baskets she made is 3:8. Therefore, we can write,
(Number of baskets Missed)/ (Number of baskets made) = 3/8
If Jasmine missed 9 baskets during the tournament, then the ratio can be rewritten as,
(Number of baskets Missed)/ (Number of baskets made) = 3/8
9 / (Number of baskets made) = 3/8
(9×8)/3 = (Number of baskets made)
Number of baskets made = 24 baskets
Hence, the number of baskets Jasmine made is 24.
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what percentage of 2m is 40cm
Answer:
20%
Step-by-step explanation:
the units of measure must be the same, so
2m = 2 × 100 cm = 200 cm
then
[tex]\frac{40}{200}[/tex] × 100%
= 0.2 × 100%
= 20%
Answer:
20%
Step-by-step explanation:
2 m = 200 cm We are required to find: what percentage of 2m is 40cm.Required percentage [tex]=\frac{40}{200}\times 100[/tex]Required percentage [tex]=\frac{4000}{200}[/tex]Required percentage [tex]=20%[/tex]find the value of x in the following equation 8x- 6=50
Answer:
x = 7
Step-by-step explanation:
8*7 - 6 = 50
pls help! look at the photo ill give brainliest!
Step-by-step explanation:
Ashley is the utilities manager at a paper mill. She's watching over one of her holding tanks. It takes 4/5 of an hour to fill 1/2 the tank
First we convert 4/5 of an hour in to
minutes
4/5 6048 minutes
In 48 minutes ----> 1/2 tank filled
In 60 minutes ----> 60 * 1/2 divide by 48
30 divide by 48=\frac{30}{48}
48
30
All 15%
Simplify the fraction by dividing top and
bottom by 6
30/48 = 5/8