Answer:
ProvideD :
Time ( T ) = 4 years , Principal ( P ) = $ 1000 , Rate ( R ) = 2 % paTo FinD :
Total amount of money ( A )SolutioN :
All you need to do is plug the values in the provided formula and solve for A[tex] \longrightarrow \tt \: a = 1000(1 + \frac{2}{100} )^{4} [/tex]
[tex] \longrightarrow \tt \: a = 1082.43216[/tex]
The total amount of money would be $ 1082.43216--------- HappY LearninG <3 ---------
conjunction and disconjuction
Step-by-step explanation:
When two statements are connected with an 'and,' you have a conjunction.
For conjunctions, both statements must be true for the compound statement to be true.
When the connector between two statements is "or," you have a disjunction. In this case, only one statement in the compound statement needs to be true for the entire compound statement to be true.
HELP!!! Simplify the expression.
3√25t²
Answer:
15t
Step-by-step explanation:
if you do the sqrt of 25 you get five than multiply that by 3 to get 15 then do the sqrt of t to get t
Hope this helps! ;-)
The bases of Triangle A and Triangle B are equal. The ratio of the height of
Triangle A to the height of Triangle B is 4 : 5. If the height of Triangle A is
16 cm and its base is 12 cm, what is the area of Triangle B?
Answer:
A = 120 cm²
Step-by-step explanation:
The 4 part of the ratio relates to the height of triangle A , then
16 ÷ 4 = 4 cm ← value of 1 part of the ratio, then
5 parts = 5 × 4 cm = 20 cm
The area (A) of triangle B is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 12 and h = 20 , then
A = [tex]\frac{1}{2}[/tex] × 12 × 20 = 6 × 20 = 120 cm²
Which of the following is a true statement?
6/16 > 7/24
3/5 <5/16
6/16 > 4/10
4/8 < 5/16
The fractional expression 18/48 is greater than 14/48 or 6/16 is greater than 7/24. Then the correct option is A.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The expressions are 6/16 and 7/24.
Then the LCM of the 16 and 24 will be 48.
Then the expressions will be 18/48 and 14/48.
The fractional expression 18/48 is greater than 14/48 or 6/16 is greater than 7/24.
Thus, the correct option is A.
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will mark brainliest to whoever gets it right
Answer:
x = 74 degrees
Answer:
74 degrees
Step-by-step explanation:
Remember that CO interior angles equal to 180 degrees so what you need to simply do is do 180 minus 106 degrees giving you 74 degrees as your answer
Somebody please help I’ve been stuck on this question for 2 hours
The volume of the cylinder when its radius is tripled is 405π unit³.
What is the volume of the cylinder when its radius is tripled?The volume of the cylinder when its radius is tripled is calculated by applying the formula for volume of a cylinder as follows;
V = πr²h
where;
r is the radius of the cylinderh is the height of the cylinderV is the volume of the cylinderV₁/r₁² = V₂/r₂²
where;
V₁ is the initial volume = 45π unit³
r₁ = 3 units
when the radius is tripled, r₂ = 3r₁
V₁/r₁² = V₂/r₂²
V₂ = (V₁/r₁²) x r₂²
V₂ = (V₁/r₁²) x (3r₁)²
V₂ = 9V₁
V₂ = 9 x 45π unit³
V₂ = 405π unit³
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volume of hemisphere whos area is 12.5 ft squared
Answer:
radius r = 1.41047396 m
base circumference C = 8.86226925 m
volume V = 5.87697483 m^3
curved surface area A = 12.5 m^2
base surface area B = 6.25 m^2
total surface area K = 18.75 m^2
In Terms of Pi πbase circumference C = 2.82094792 π m
volume V = 1.87069919 π m3
curved surface area A = 3.97887358 π m^2
base surface area B = 1.98943679 π m^2
total surface area K = 5.96831037 π m
Step-by-step explanation:
r = radiusC = base circumferenceV = volumeA = curved surface areaB = base surface areaK = total surface areaπ = pi = 3.1415926535898√ = square rootHemisphere Formulas in terms of radius r:Volume of a hemisphere:V = (2/3)πr^3
Circumference of the base of a hemisphere:C = 2πr
Curved surface area of a hemisphere (1 side, external only):A = 2πr^2
Calculate the base surface area of a hemisphere (a circle):B = πr^2
Total surface area of a hemisphere:K = (2πr^2) + (πr^2) = 3πr^2
Answer:
Approximately 6.4 ft³
Step-by-step explanation:
A *hemisphere* is half of a sphere. As far as surface area goes, we not only need to account for the curved area, but also the area of the circular disc at the bottom. The area of the curved region is going to be half the area of the whole sphere. Since a sphere with radius r has a surface area of 4πr², the curved part of the hemisphere must have half that, or 2πr². Add in the area of the circular disc, πr², and we have a total area of 3πr². Setting this equal to the given area of 12.5 ft², we can solve for r:
[tex]3\pi r^2=12.5\\r^2=12.5/3\pi\\\\r=\sqrt{12.5/3\pi}[/tex]
Now, using the formula for the volume of a sphere, [tex]V=(4/3)\pi r^3[/tex], we can substitute our new value for r and solve:
[tex]V=(4/3)\pi r^3\\=(4/3)\pi(\sqrt{12.5/3\pi})^3\\\approx 6.4[/tex]
Consider the system of equations.
h(x) = 4x-2
j(x)= - 2x + 4
What does the point (1,2) represent in the system of equations?
A.
the minimum value
B.
the maximum value
C.
the point when h(x) = j(x)
D.
the domain and the range
solve the system using substitution. show all work. {4x + 5y = 7 {y = 3x - 10
Answer:
x = 3, y = -1.
Step-by-step explanation:
4x + 5y = 7
y = 3x - 10
Substitute for y = 3x - 10 in the first equation:
4x + 5(3x - 10) = 7
4x + 15x - 50 = 7
19x = 7 + 50 = 57
x = 57/19 = 3.
Now plug x = 3 in the second equation
y = 3(3) - 10
y = 9 -10
y = -1.
How many edges does this shape have?
Answer:
8 Edges.
Imagine a cardboard box. The top has four edges and the bottom of it has another four.
Answer:
8
Step-by-step explanation:
count top edges then multiply by 2
Which lists contain only rational numbers? Select all that apply.
-6, -7, -9, -11,61
5, 12, 18, 24, 30
6 4 11 6 13
3' 7'99' 13' 37
0.865, 0.4444, -6.37, -11.11
7.3, 4.15, -6.26, 9.1
. What is the area of this polygon?
10 m
9 m
8 m
15 m
Answer:10 squared plus 9 squared equals 15 squared
Step-by-step explanation:
take the square root of your answer
Find the area of the shaded region.
Round your answer to the nearest tenth. 120 degrees 6cm
If the area of a semicircle and an isosceles triangle is 56.55 cm² and 18 cm². Then the area of the shaded region will be 38.55 cm².
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Then the area of the shaded region will be given by the difference between the area of the semicircle and the area of the isosceles triangle.
The area of the shaded region will be
Shaded area = area of semicircle - area of isosceles triangle
Then the area of the semicircle will be
Semicircle area = π 6² / 2
Semicircle area = π36/2
Semicircle area = 56.55 square cm.
The area of the isosceles triangle will be
Isosceles triangle area = 2 × (1/2) × 6 × 6 sin30°
Isosceles triangle area = 6 × 6 × 0.5
Isosceles triangle area = 18 square cm
Then the area of the shaded region will be
Shaded area = 56.55 - 18
Shaded area = 38.55 square cm
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Given the range (1, 1), (4, 2), (2, -1), with a coordinate transformation of f(x, y) = (x+2, y-3), what is the domain?
(-1, 4), (2, 5), (0, 2)
(-2, 3), (1, 4), (-1, 1)
(1, 1), (2, 4), (2, -1)
(3, 2), (12, 4), (-12, 2)
Answer:
A.
Step-by-step explanation:
I believe it is A. because there are the numbers that equal all together to get that domain.
can someone help me with this
For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.
Multiplicative inverse of a matrixFor two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.
Since the 2 by 2 matrix is given, hence the resulting value of I must be a 2 by 2 matrix.
Multiply the row of the first matrix with the column of the second to have:
[tex]\left[\begin{array}{ccc}-3&7\\-2&5\\\end{array}\right] \left[\begin{array}{ccc}-5&-7\\-2&3\\\end{array}\right] =\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]
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Mr. reeves planted 5 beans and 12 tomato plants in his garden. What is the ratio of bean plants to tomato plants ?
Answer:
5/12 = 0.416666.... also in percentage 29,41 % of the plant are beans and 70.59 % are tomato plants.
treatment definition
Answer: Heyaa!
If you mean medicine treatment the definition is...
The management and care of a patient to combat disease or disorder.If you mean just basic treatment the definition is...
The manner in which someone behaves toward or deals with someone or something.Hopefully this helps you:
- Matthew
What is 4(5x^{2} )+16=400
Step-by-step explanation:
4(5x²) + 16 = 400
5x² + 4 = 100
5x² = 96
x² = 19.5
x = ±sqrt(19.5) = ±4.415880433...
A variable that explains the relationship between an IV and a DV is called a(n) __________, whereas a variable that changes the relationship between an IV and a DV is called a(n) __________.
Mediator variable explains the relationship between IV and DV.
Moderator variable that changes the relationship between an IV and a DV.
What is a Mediator Variable and a Moderator Variable?A mediator variable can be described as a third variable that explains how an independent variable affects a dependent variable, while a moderator variable can directly alter or strengthen the relationship between the independent and independent variable.
For example, alertness is a mediator variable between the independent variable, sleep quality, and dependent variable, achievement.
In summary, mediator variable explains the relationship between IV and DV, while the variable that changes the relationship between an IV and a DV is the moderator variable.
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A class of 28 students has 13 boys and 15 girls. what is the ratio of boys to girls in the class?
PLEASE HELP ME! I WILL MARK THE BRAINLEIST
Answer:
Part B:3/6 should be your answer answer:)!
Part C:The side length is 4 feet 6 inches, it is a rational number because both numbers can be showed as a fraction.
Step-by-step explanation:
Sort each type of expense into the category where it fits best.
clothing expenses
fixed expenses
variable expenses
mortgage expenses
rent
food expenses
loan payments
The categories that the expenses best fit into are:
fixed expenses :
mortgage expensesrentloan paymentsvariable expenses:
clothing expensesfood expensesWhat are fixed and variable expenses?Fixed expenses are the expenses that are constant. They do not vary with the quantity bought. Variable expenses are the expenses that vary. More quantities can be bought and this increases the expenses.
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(1) the fear of genetically modified foods is not based in facts. (2) the food and drug administration holds genetically modified foods to the same standard as traditional foods, which means that these new products are equally as safe as products that are already on grocery shelves. (3) in addition, common fruits, including nectarines and seedless grapes, are a result of genetic breeding. what would be the best way of revising the second sentence for a presentation?
In order to revise the second sentence for a presentation, the best thing to do would be to break it up into two sentences.
How can we revise the second sentence?The second sentence is quite long and so would not be the best fit for a presentation.
We can solve this by breaking it into two sentences such as:
The Food and Drug Administration holds genetically modified foods to the same standard as traditional foods. This means that these new products are equally as safe as products that are already on grocery shelves.This makes the presentation more readable and ensures that the information is better passed on.
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Answer:
B - Breaking into two sentences
Step-by-step explanation:
Edge 2023
Dr. shepherd is studying a bacterial colony with a population of 29,600 bacteria. the colony is
growing 5% per hour. how many bacteria will the colony contain in 12 hours?
if necessary, round your answer to the nearest whole number
bacteria
Answer:
53,157
Step-by-step explanation:
The population growth of a bacterial colony can be modeled by an exponential function of the form ...
p(t) = a·b^t
where a is the initial population and b is the growth factor. The growth factor is ...
b = 1 +r
where r is the growth rate.
__
In this problem we have ...
a = 29,600
b = 1 +5% = 1.05
t = 12
So, the population after 12 hours is
p(12) = 29600×1.05^12 ≈ 53,157
The colony will contain 53,157 bacteria in 12 hours.
Lucia paints a certain room in 5 hours, and Marie paints the same room in 8 hours. How long does it take them to paint the room if they work together? Round to the nearest tenth.
Answer:
3.1 hrs painting together
Step-by-step explanation:
Lucia rate = 1 room/ 5 hr
Marie rate = 1 room/8hr
now combine the rates
1 room / ( 1/5 + 1/8) = 3.077 hrs
What is the perimeter of ΔWXY?
11.57 cm
12.22 cm
12.46 cm
14.50 cm
The perimeter of the triangle ΔWXY is P = 14.50 cm
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔXYZ
Now , the measure of sides of the inscribed triangle ΔQRS is
QR = 2.93 cm
RS = 2.04 cm
QS = 2.28 cm
where the points Q , R and S are the midpoints of the sides of the triangle ΔXYZ
So , the measure of sides of the triangle are twice the lengths of the sides of triangle ΔQRS
And , the perimeter P = 2 ( 2.93 + 2.04 + 2.28 )
On simplifying , we get
P = 2 ( 7.25 )
P = 14.50 cm
Hence , the perimeter is P = 14.50 cm
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The complete question is attached below :
What is the perimeter of ΔWXY?
a) 11.57 cm
b) 12.22 cm
c) 12.46 cm
d) 14.50 cm
Find the value of x. Enter only your numerical value for x
Answer:
x = 3
Step-by-step explanation:
Equating the secants :
10 (10 + 5x + 2) = 9 (9 + 7x)50x + 120 = 81 + 63x63x - 50x = 120 - 8113x = 39x = 3Answer:
3
Step-by-step explanation:
Theorem:
If two secants intersect outside a circle, then the product of the length of the exterior segment of one secant and the length of that secant equals the product of the corresponding parts of the other secant.
In this case:
10 × (10 + 5x + 2) = 9 × (9 + 7x)
10(5x + 12) = 9(7x + 9)
50x + 120 = 63x + 81
-13x = -39
x = 3
You need new shoes for work which cost $70. You earn $400 net income each week, but have expenses totaling $380 each week. If you set aside the difference between your weekly income and expenses, how many weeks will it take you to save enough to buy the shoes?
Amount earned per week=400-380=$20
Price of one shoe=70$
Total weeks
70/203.5Minimum 4 weeks
Answer:
4 weeks
Step-by-step explanation:
Given:
$400 = weekly net income$380 = weekly expensesTherefore,
Weekly surplus = weekly net income - weekly expenses
= $400 - $380
= $20
Given:
Cost of new shoes = $70Weekly surplus = $20Number of weeks = cost of new shoes ÷ weekly surplus
= $70 ÷ $20
= 3.5
= 4 weeks (rounded to nearest week)
Therefore, it will take 4 weeks to save enough to buy the shoes.
Factor completely 16x8 − 1.
Answer:
Step-by-step explanation:
(4x^4 - 1)(4x^4 + 1)
(2x^2 - 1)(2x^2 + 1)(4x^4 + 1)
A line passes through the point , (−3, -4) and has a slope of 3. Write an equation in slope-intercept form for this line.
How do I solve this?
Answer:
y=3x+5
Step-by-step explanation:
Take the point you are given and plug it into whatever you're using (paper or a sight) take the slope and find another whole number that contents with the slope's path. now time for the easy part. make the start of the equation; in this case, its y=3x now once you have done that make a line that goes through the y axis, this will give you the y-intercept of 5. if you are using a sight then its way easier; you can either look and estimate where it crosses the y axis or you can start at a number and go up or down depending on how close you are to your 2 points. once you have done that you should have all you'll need to make the equation!
if this makes no sense tell me!