Th amount of money that Diana is left with is $8,430.23.
How much is Diana left with?The first step is to determine the interest earned in the first year and the total amount that was made in the 2 years.
The formula used to determine the future value with monthly compounding is:
P(1 + r)^( n x m)
Where:
P = present value r = periodic interest rate n = number of years m = frequency of compoundingTotal amount made in 2 years = $8000 x ( 1 + 5% / 12)^(12 x 2) = 8839.53
Interest earned in the first year = [ $8000 x ( 1 + 5% / 12)^(12) ] - 8000 = $409.29
Amount she is left with = 8839.53 - $409.29 = $8430.23
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HELP ILL GIVE BRAINLIEST!
Solve 2u² = 90, where u is a real number.
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
u=
Answer:
I think maybe u=6.71 but I'm not sure. wait for another answer
) The height h(t) in feet of a model rocket above the ground t seconds after
lift-off is given by h(t) = −t
2 +30t, for 0 ≤ t ≤ 30. When does the rocket reach its
maximum height above the ground? What is its maximum height?
After 15 seconds rocket reaches to maximum height is 225 units.
What is Differentiation?Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.
Here, the given equation of height
h(t) = -t² + 30t
y = -t² + 30t
Now, on differentiating both side with respect to t, we get
dy/dt = -2t + 30
put dy/dt = 0, we get
0 = -2t + 30
2t = 30
t = 15
Now, at t = 15 sec. rocket reach at its maximum height.
maximum height at t = 15 sec is
h(15) = -(15)² + 30(15)
h(15) = -225 + 450
h(15) = 225
Thus, after 15 seconds rocket reaches to maximum height is 225 units.
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What are the solutions to 3(x + 2)(x - 9) = 0?
Select all that apply.
2
-9
-2
-3
9
Answer:
(3)+1. 12-2=9+1 so 9 is the answer
nth term formula? maths quickly
[tex]\text{Nth term of an arithmetic series} = a +(n-1)d \\\\\text{Nth term of an geometric series}= ar^{n-1}\\\\\text{where,}\\\\\text{a = first term.}\\\\\text{d = common difference.}\\\\\text{r = common ratio.}[/tex]
Example
In rectangle PRST, ST and RT are extended as shown.
What is mLUTV?
Since LPTS is a right angle, LPTR and
LRTS are complementary angles.
x + (2x-57) = 90
3x - 57 = 90
3x = 147
X = 49
So, m/UTV = 41°.
(2x-57)
T
LRTS and LUTV are vertical angles,
so m/UTV = m/RTS.
m/UTV = (2x - 57)°
= [2(49) - 57]⁰°
= 41°
S
Name another pair of complementary angles and another pair of vertical angles
Find m
Nani wait what I don't know
Which expression is equal to
5(2x²-1) + 3(7x² + 1)?
11x² + 2
11x-2
31x² + 2
31x²-2
Answer:
d
Step-by-step explanation:
Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid? “Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit rate.” “Look at the graph of the relationship. Count the number of units up and the number of units to the right one must move to arrive at the next point on the graph. Write these two numbers as a fraction.” “Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit rate.” “Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is the difference in the corresponding x-values.”
The correct answer is: [A]: " Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1 . That value is the unit rate."
What is y-value?The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). Also called "Ordinate".
Here, The "y-axis" is located on the "vertical axis" that represents the "dependent variable" (or, at times, the "control value") that cannot be "manipulated" / controlled/ or "selected" / since it represents the "y-value" of the corresponding coordinate to which the "x-value" happens to corresponds to at the given value for "x" .
Thus, the correct answer is: [A]: " Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1 . That value is the unit rate."
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What do you think are the biggest advantages & disadvantages regarding the kind of technology we have access to in the early 21st century?
The advantages and disadvantages of the kind of technology we have access to in the early 21st century include:
Advantages:
The improvement of productivity.
Better and easier communication between people.
Disadvantages:
Can be bad for the environment.
Technology might be able to replace humans in jobs.
What is technology?Technology is the result of accumulated knowledge and the application of skills, and processes used in industrial production and scientific research.
Technology is embedded in the operation of all machines for the intended purpose of an organization.
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Please explain as well!
Answer:
The height of the other book is 2 3/4 inches.Step-by-step explanation:
From the information,we get:
Two stacks of books together are = 7 1/2 inches tall.
One stack is given,that is = 4 3/4 inches.
To Find:
The height of the other.Solution:
Let us assume that the other height of the book be x.
Then the equation will be:
[tex] 4\cfrac{3}{4} + x = 7\cfrac{1}{2} [/tex]
Solve for x to get the other book's height.Convert the mixed fractions to fractions:
[tex] \implies \: \cfrac{19}{4 } + x = \cfrac{15}{2} [/tex]
Subtract 19/4 from both sides:
[tex] \implies \: x + \cfrac{19}{4} - \cfrac{19}{4} = \cfrac{15}{2} - \cfrac{19}{4} [/tex]
[tex] \implies \: x = \cfrac{11}{4} =\boxed{ 2 \cfrac{3}{4} \rm \: inches}[/tex]
Hence, we can conclude that:
The height of the other book is 2 3/4 inches.
A cylinder has a base radius of 9 feet and a height of 4 feet. What is its volume in
cubic feet, to the nearest tenths place?
The volume of the cylinder will be equal to 1017.87 cubic feet.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. For the cylinder, the volume will be calculated by radius and the height of the cylinder.
Given that:-
The volume of the cylinder will be calculated by using the formulas below:-
V = πr²h
V = π ( 9 )² 4
V = 1017.87 cubic feet.
Therefore the volume of the cylinder will be equal to 1017.87 cubic feet.
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A group of researchers wants to develop an experiment to determine whether a new drug effectively treats hypothyroidism. The researchers want to inject the drug in rabbits first to determine whether there are any potential serious side effects.
Part A: What are some possible ethical issues to this type of testing? (5 points)
Part B: While conducting the experiment, the researchers find the thyroid begins functioning properly, and they declare the new drug is causing the change. Is this a good assumption? Explain. (5 points)
Some possible ethical issues to this type of testing that they are subjected to unpleasant and hazardous procedures, as well as stress and injury.
What is experiment?Any well-defined method that yields an observable outcome that cannot be precisely predicted in advance is referred to as a experiment. To avoid any ambiguity or surprise, a experiment must be properly defined.
A) Because human experimentation is immoral, animal research has been employed as a research approach.
However, using animals is unethical because they are subjected to unpleasant and hazardous procedures, as well as stress and injury. The use of non-animal methods to substitute animal methods as much as possible will provide both ethical and technical benefits. Researchers should make the use of non-animal methods for a top priority experiments.
B) Even though the purpose of an experiment is to ensure success in rabbits, this is incorrect in people because action is what will operate properly.
The absence of thyroid-stimulating hormone in rabbit serum is a mistaken notion. As a result, it is preferable to test the drug further, and it was a success. As a result, there will be no dysfunctionality for humans.
Thus, some possible ethical issues to this type of testing that they are subjected to unpleasant and hazardous procedures, as well as stress and injury.
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Graph the function y = x3 + x2 – 6x + 5. What are the coordinates, to the nearest tenth, of the relative maximum of the graph?
(1.1, 0.9)
(1.5, 1.3)
(–2.2, 15.8)
(–1.8, 13.2)
The coordinates, to the nearest tenth, of the relative maximum of the graph is (-1.8,13.2)
How to determine the relative maximum?The equation of the function is given as:
y = x^3 + x^2 – 6x + 5
Next, we plot the graph of the function (see attachment)
From the attached graph, we have the relative maximum to be at:
(x,y) = (-1.8,13.2)
Hence, the coordinates, to the nearest tenth, of the relative maximum of the graph is (-1.8,13.2)
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Which of the following is an example of a quadratic equation?
OA. x²-64-0
OB. y - 4x+6
O C. y6
OD. x+10=33
ASAP PLS
Answer:
A
Step-by-step explanation:
hope this help
Simplify 5^-4/5^3 (help please asap)
Answer:
Rewrite 5[tex] {5}^{2?} [/tex]as[tex] {5} -^{4?} \times {5}^{7?} [/tex]Cancel out 5-4 both numerator and denominator[tex] \frac{1}{5 {}^{?7} ?} [/tex]calculate 5 to the power of 7 and get 78125[tex] \frac{1}{78125} [/tex]is equal to 0.0000128Answer:
=5^(-4)*5^(-3)
=5^(-7)
=1/5^(7)
Step-by-step explanation:
i took the denominator and multiplied it to the numerator
when powers of the same base are multiplying we add the exponents, so I added the -3 to -4 and got -7 which gives me 5^(-7) which is 1/5^(7)
This list shows the lengths in feet of the 25 longest bridges in the United States.
1010
1470
1600
2000
2800
1053
1495
1632
2150
3500
1200
1596
1750
2150
3800
1207
1600
1800
2300
4200
1380
1600
1850
2310
4260
Jamie made a frequency table of the bridge data.
U.S. Bridges
Length (ft)
Tally
Frequency
(first interval)
|||| ||
7
(last interval)
||
2
Based on the tallies and frequencies for the first and last intervals, how many intervals of what length did Jamie use?
a.
4 intervals of 1000 feet
c.
6 intervals of 500 feet
b.
5 intervals of 1000 feet
d.
7 intervals of 500 feet
Please select the best answer from the choices provided
A
B
C
D
The length of the intervals of the given frequency table is
500 ft.
The given list shows the lengths in feet of the 25 longest bridges in the United States.
we have to determine the median and mode of the bridge data.
The median is the middle number of the data set arranged in ascending order.
1010, 1053, 1200, 1207, 1380, 1470, 1495, 1596, 1600, 1600, 1600, 1632, 1750, 1800, 1850, 2000, 2150, 2150, 2300, 2310, 2800, 3500, 3800, 4200, 4260.
The median is 1750.
Mode is the number that appears most often in the data set.
1010, 1053, 1200, 1207, 1380, 1470, 1495, 1596, 1600, 1600, 1600, 1632, 1750, 1800, 1850, 2000, 2150, 2150, 2300, 2310, 2800, 3500, 3800, 4200, 4260
The mode is 1600.
Therefore the correct option is Median: 1750, Mode: 1600
So the length of the intervals of the given frequency table is
500 ft.
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What is the square root of 121 ?
Answer:
√121 = 11
Explanation:
11 × 11 = 121
Answer:
11
Step-by-step explanation:
The square root of 121 is 11.
= 11*11 = √(121)
= 121 = 11
done
Which of the following is a right triangle?
Answer:
B
Step-by-step explanation:
A right triangle must have one of its 3 angles equal to 90°
the only triangle with an angle of 90° is Triangle C
Answer:
B:Triangle
Step-by-step explanation:
if1(2) at the level 20= 0.94770 and 1(2) at the level 21= 096020 find the required level of mortality for the estimated value of 1(2)* =0.95656.
Answer:
Step-by-step explanation
Sorry but your answer is a fake question which I can't answer
6x³ + 3x
how do you factor out the GCF in this question??
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to factor out the GCF in the expression
[tex]\star~\star\mathrm{6x^3+3x}~\star~\star[/tex]
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Divide every single term of the expression by the GCF (Greatest Common Factor).So let's divide.
But first. we should work out the GCF.
Both terms have 3x in common, so we divide both terms by 3x:
[tex]\mathrm{6x^3+3x}[/tex]
[tex]\mathrm{3x(2x^2+1)}[/tex]
To ensure that we've factored correctly, we can always use the distributive property, distribute 3x and see whether or not we end up with [tex]\mathtt{6x^3+3x}[/tex].
So the answer is
[tex]\mathrm{3x(2x^2+1)}[/tex]
Notice I put parentheses around 2x²+1. This indicates that 3x is multiplied times both 2x² and 1.
Hope it helps you out! :D
Ask in comments if any queries arise.
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You plan to build a house that is 1 ½ times as long as it is wide. You want the land around the house to be 20 feet wider than the width of the house, and twice as long as the length of the house, as shown at the right.
The total area with land based on the information given is 3x² + 60x.
How to find the area?Let the width = x
Let the length = (1.5 × x) = 1.5x
Area = 1.5x × x = 1.5x²
The area along with land:
Width = x + 20
Length = 3 × x = 3x
The total area with land:
= Length × Width
= 3x(x + 20)
= 3x² + 60x.
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A water barrel has a total volume of 1.25 cubic meters (m3). Use the fact that 1 foot is approximately equal to 0.3048 m to convert this volume to cubic feet (ft3). Round your answer to the nearest tenth. Do not type the units in the space below.
Answer:
see the attachment photo!
The sum of the three interior angles of a triangle is 180°. Suppose one angle is 68° and the remaining two angles are the same measure. Reason numerically to find the measures of the remaining angles.
Answer:
56°Step-by-step explanation:
Let ∠A and ∠B and ∠C.
be the three interior angles of the triangle.
∠A + ∠B + ∠C = 180
If ∠A = 68 and ∠B = ∠C .
Then
∠B + ∠C = 180 - 68 = 112
Then
2∠B = 112
Then
∠B = 112 ÷ 2 = 56°
Select the action you would use to solve x-3= 12. Then select the property
that justifies that action.
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Subtract 3 from both sides.
D. Property: Addition property of equality
E. Property: Multiplication property of equality
OF. Property: Subtraction property of equality
← PREVIOUS
Answer:
Add 3 to both sides
Property: Addition property of equality
Step-by-step explanation:
Action: Add 3 to both sides.
⇒ x - 3 = 12
(cancel out)+ 3 + 3
------------------------ -----
x = 15
The property used:
Addition property of equality.→ equation is true and the same #is added to each side the resulting equation is true. for any #s a,b,c,if a=b then a+c=b+c.
The population standard deviation for the height of college hockey players is 3.4 inches. If we want to estimate 90% confidence interval for the population mean height of these players with a 0.6 margin of error, how many randomly selected players must be surveyed? (Round up your answer to nearest whole number) Answer:
Answer:
i thank 4 for this players
congruent figures someone please help
Find the volume of the cone . Round your answer to the nearest tenth. Use 3.14 for 8 in. 4 in.
Answer:
see the attachment photo!
The solution for which of the following is neither a interger nor a fraction 4x+7=x+2 ,5x-8=x+4, 3x+2=5x+2, none of the above
Answer:
none of the above
Step-by-step explanation:
4x + 7 = x + 2
4x - x + 7 = x - x + 2
3x + 7 = 2
3x + 7 - 7 = 2 - 7
3x = -5
3x / 3 = -5 / 3
x = -5 / 3 = -1.667
5x - 8 = x + 4
5x - x - 8 = x - x + 4
4x - 8 + 8 = 4 + 8
4x = 12
4x / 4 = 12 / 4
x = 3
3x + 2 = 5x + 2
3x - 5x + 2 = 5x - 5x + 2
-2x + 2 = 2
-2x + 2 - 2 = 2 - 2
-2x = 0
x = 0
Integers, As a whole number that can be written without a remainder,
x = 3
x = 0
(Mixed) Fraction
x = -5 / 3 = -1.667
Pls help with my math work
The diameter of a cylinder is 4 centimeters. The height is 12 centimeters. Using 3.14 for pi, what is the volume of the cylinder, in cm3 Rounded to the nearest hundredth.
Answer:
V = 150.72 cm³.
Step-by-step explanation:
First, get the volume of a cylinder.
V = πr²h
Where:
π = 3.14 (given)
r = radius (half of diameter, or 2)
h = height (12)
Knowing this, substitute the known values.
V = πr²h
V = (3.14)(2²)(12)
Square 2.
V = (3.14)(4)(12)
Multiply 3.14 and 4.
V = (12.56)(12)
Multiply 12.56 and 12.
V = 150.72.
Since it is already rounded to the nearest hundredth, that is your answer.
PLEASE HELP TIMER!!!!!!!!!!!!!
Answer:
Answer: -3/2
Step-by-step explanation:
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