Answer:
Given:
Sebastian :
Principal(invested)= $7,100
Rate of interest= 8.14% compounded monthly
Eva:
Principal(invested)= $7,100
Rate of interest= 8.12% compounded continuously
Step-by-step explanation:
After 5 years,
In Sebastian case:
Amount= Principal*[tex](1+R/100)^{t}[/tex]
Amount = 7100*[tex](1+8.14/100)^{12*5}[/tex]
Amount= 7100*[tex]1.0814^{60}[/tex]
Amount=7100*109.4415
Amount= $777,034.43
In Eva case,
Amount= Principal*[tex]e^{Rt/100}[/tex]
Amount = 7100*[tex]e^{0.0812*12*5\\}[/tex]
Amount= 7100*130.5818
Amount= $927,130.92
Difference between their money=$927,130.92-777034.43
=$150,096.49
Eva has $150,096 more money than Sebastian.
Answer:
80
Step-by-step explanation:
What is the value of the expression below when
x = 3?
7x -4
Answer:
17
Step-by-step explanation:
7(3) - 4
21 - 4
17
Answer:
i dont know
Step-by-step explanation:
i dont know
Elena's distances and times for a training run are given by the equation , where represents distance in miles and represents time in minutes. Who ran faster during the training run?
Answer:
Elena's run for 1.17 miles in ten minutes
Step-by-step explanation:
From the question
y = 8.5 x ; where x is Distance in miles, and y is time in minutes
and y= 10 minutes
thus on substituting the respected values we get
10 = 8.5 x
⇒ x = [tex]\frac{10}{8.5}[/tex] = 1.17 miles
Therefore Elena's run for 1.17 miles in ten minutes
Write an equation that models the bee population (b), (w) weeks after it is first measured. You'll use the variable b for the bee population and the variable w for the weeks after it is first measured.
The required equation that models the bee population (b) is y = 2000x + 500
Equation of a line
The equation of a line in slope-intercept form is expressed as y = mx + b
where;
m is the slope of the line graphb is the y-interceptUsing the coordinate points on the graph (2, 2000) and (3, 4000)
Get the slope of the line
[tex]m=\frac{4000-2000}{3-2}\\m=\frac{2000}{1}\\m=2000[/tex]
Since one of the coordinate points lies on the y-axis at (0, 500), hence the y-intercept is 500.
The required equation that models the bee population (b) is y = 2000x + 500
Learn more on equation of a line here: https://brainly.com/question/13763238
Help, Please and thank you!
Answer:
Last one
Step-by-step explanation:
The slope intercept form is: y=mx +b
m=the slope and b is the y intercept
so it would be the last one
A robin perched in a tree 40 feet above sea level. Directly below the robin, a seagull is flying 13 feet above sea level. Directly below the birds is a clownfish, swimming 33 feet below sea level.
Answer:
See explanation
Step-by-step explanation:
The question is incomplete. However, I'll solve on a general terms.
Since the robin, seagull and fish are on directly below one another; a possible question could be to calculate the distance between the robin and the clownfish
The given parameters are:
[tex]Robin = +40ft[/tex]
[tex]Seagull= +13ft[/tex]
[tex]Clownfish= -33ft[/tex]
+ represents above sea level while i represents below
The distance is then calculated as:
[tex]Distance = Robin - Clownfish[/tex]
[tex]Distance = +40ft - (-33ft)[/tex]
[tex]Distance = +40ft +33ft[/tex]
[tex]Distance = 73\ ft[/tex]
EASY POINTS!?!?!?!?!?!
Write an equation with a variable for the situation below: Mike's high school played 17 hockey games this year. The team won most of their games. They were defeated during 4 games. How many games did they win?
Help ....................
Answer:
(helps)
Step-by-step explanation:
Please help me I don’t know this
Answer:
Quotient: 56 Remainder: 3
find the measure of the indicated angle ? no l
The interior angle of any triangle sum to 180° in measure, so that angle ACB has measure
m∠ACB = 180° - 67° - 35° = 78°
Angles ACB and BCD are supplementary because they occur on the same ray AD, which means they also sum to 180° in measure. Then angle BCD has measure
m∠BCD = 180° - 78° = 102°
Answer:
102 degrees
Step-by-step explanation:
for this problem, add the angles given to 180 degrees to find the remaining angle ACB in the triangle. Once you have that angle, you can subtract it from 180 degrees to find BCD, because side ACD is straight. By adding Angle CAB (67 degrees) and Angle ABC (35 degrees), you end up with the missing 98 degrees to reach 180 degrees. thus, when subtracting to find BCD on the straight of ACD, a value of 102 degrees remains for Angle BCD
Solve the system of equations - 9x - 2y = -3 and -20 – 3y = 7 by combining the equations.
Simplify the fraction.
Answer:
3b/4a²
Step-by-step explanation:
3a²*4b³/16(a²b)²
12a²b³/16a⁴b²
12b/16a²
3b/4a²
Jawad has seven rocks.
The total weight of all seven rocks is 5 kilograms.
6 of the rocks each have a weight of 720 grams.
Work out the weight, in grams, of the other rock.
I performed a transcriptome analysis (Clariom D Array, Affymetrix) of two groups of subjects (human tissue) by using Transcriptome Analysis Console (TAC; Affymetrix) and Partek software and same cutoff (n=20; FC greater than 1.5 and P value less than 0.05). However, the overlap between differential expressed genes between both software was quite low.
someone has some comment about why this may be happening?
Madelyn is in a hot air balloon that has just taken off and is floating above its launching point. Eddie is standing on the ground, 6 meters away from the launching point. If Madelyn and Eddie are 9 meters apart, how high up is Madelyn? If necessary, round to the nearest tenth.
Ill be marking brainliest
Answer:
8.9 meters
Step-by-step explanation:
this seems like a problem where you can use the pythagorean theorem:
you know one of the two legs (6m) and the hypotenuse (9m), you must find the other leg
a^2 + 6^2 = 9^2
a^2 + 36 = 81
a^2 = 45
a = [tex]\sqrt{45}[/tex] or [tex]\sqrt{9}[/tex] · [tex]\sqrt{5}[/tex] which simplifies to be 3[tex]\sqrt{5}[/tex] or approx. 8.9 meters
The number of grams of zero-calorie sodium in a restaurant meal is compared to the total number of calories in the meal. The correlation coefficient relating the two variables is 0.74.
Which best describes the strength of the correlation, and what is true about the causation between sodium and the number of calories in this meal?
It is a weak positive correlation, and it is not likely causal.
It is a weak positive correlation, and it is likely causal.
It is a strong positive correlation,and it is not likely causal.
It is a strong positive correlation, and it is likely causal.
Answer: It is a strong positive correlation,and it is not likely causal.
Step-by-step explanation: Correlation Coefficient value is used to determine the strength of linear relationship between two variables. The value ranges from - 1 to +1.with negative values depicting a negative relationship and positive values showing positive relationship. Value of 0 implies that, no relationship exists. The closer the correlation Coefficient value is to +1 or - 1, the greater the strength of the relationship between them. Also correlation does not mean causation. Hence, a correlation coefficient of 0.74 depicts a strong positive relationship. However it doesn't imply causation.
The given correlation is strong positive correlation,and it is not likely causal.
We have given that,
The correlation coefficient relating the two variables is 0.74.
What is the correlation coefficient?Correlation coefficient value is used to determine the strength of linear relationship between two variables. The value ranges from - 1 to +1.
The correlation coefficient value is used to determine the strength of linear relationship between two variables. The value ranges from - 1 to +1.
with negative values depicting a negative relationship and positive values showing positive relationship.
The value of 0 implies that, no relationship exists.
The closer the correlation coefficient value is to +1 or - 1, the greater the strength of the relationship between them.
Also correlation does not mean causation.
Hence, a correlation coefficient of 0.74 depicts a strong positive relationship.
However it doesn't imply causation.
We have the given correlation coefficient relating the two variables is 0.74 and it is near +1
Therefore,the given correlation is strong positive correlation,and it is not likely causal.
To learn more about the correlation coefficient visit:
https://brainly.com/question/4219149
What is 9 5/32 as a decimal
Answer:
The correct answer is 9.15625
✧brainliest appreciated✧
Answer:
9.15625
Step-by-step explanation:
step 1- Convert the proper fraction to decimal: Divide the numerator by the denominator: 5 ÷ 32 = 0.15625
step 2- Add this decimal number to the whole number of the mixed fraction: 9+ 0.15625 = 9.15625
Therefore, the mixed number 9 5/32 converted to decimal number is: 9.15625
(can i get brainliest)
The two scalene triangles seen below are similar figures. What is the scale factor from the small scalene triangle on the left to
the large scalene triangle on the right? The scalene triangles are not drawn to scale.
Step-by-step explanation:
Scale factor
= Side length of big triangle / Side length of small triangle
= 12/5 = 24/10 = 33.6/14 = 2.4.
Answer: 2.4
Step-by-step explanation:
10 × 2.4 = 24
5 × 2.4 = 12
14 × 2.4 = 33.6
In ABC, AC is extended through point C to point D,
m< BCD = (9x - 1), m
m
Answer:
cx
Step-by-step explanation:
question 1 and 2 please :) (exact form)
Answer:
1. x = 6 cm
2. The coordinates of the x-intercept are (-15.798879, 0) and (8.177004, 0)
b) The maximum value of is y is approximately 459.874
The value of 'x' for which the maximum occurs is x is -3.8109375
c) 'k' is approximately -15.63748 or 'k' is approximately 8.0156
Step-by-step explanation:
1. The area of rectangle ABCD - Area of triangle ABP = 114 cm²
Therefore, we have;
The area of rectangle ABCD = (2·x - 3)·(3·x + 1)
∴ The area of rectangle ABCD = 6·x² + 2·x - 9·x - 3 = 6·x² - 7·x - 3
The area of triangle ABP = 1/2 × (3·x + 1)·x = 3·x²/2 + x/2
The area of rectangle ABCD - Area of triangle ABP = 6·x² - 7·x - 3 - 3·x²/2 - x/2
6·x² - 7·x - 3 - 3·x²/2 + x/2 = 9·x²/2 - 13·x/2 - 3 = 114
9·x²/2 - 15·x/2 - 3 = 114
9·x² - 15·x - 6 - 228 = 0
9·x² - 15·x - 234 = 0
x = (15 ± √((-15)² - 4 × 9 × (-234)))/(2 × 9) = (15 ± 93)/18
∴ x = 6 or x = -13/3
Given that x is a natural number, we have that x = 6 cm
2. The given equation is 'y = -3.2·x² - 24.39·x + 413.4'
Therefore, we have;
The x-intercept are the values of 'x', where the value of 'y' is 0
Therefore, we have, at the x-intercept;
y = 0 = -3.2·x² - 24.39·x + 413.4
By the quadratic formula, we have;
x = (24.39 ± (√((-24.39)² - 4×(-3.2)×413.4)))/(2 × (-3.2))
x ≈ -15.798879 or x ≈ 8.177004
The coordinates of the x-intercept are;
(-15.798879, 0) and (8.177004, 0)
b) The maximum is given at dy/dx = 0
Therefore, at the maximum point, we have;
dy/dx = d(-3.2·x² - 24.39·x + 413.4)/dx = -6.4·x - 24.39 = 0
dy/dx = -6.4·x - 24.39 = 0
∴ x = 24.39/(-6.4) = -3.8109375
x = -3.8109375 at the maximum point
At the maximum point, we have;
y = -3.2·x² - 24.39·x + 413.4 = -3.2·(-3.8109375)² - 24.39·(-3.8109375) + 413.4 ≈ 459.874
y ≈ 459.874
Therefore, the maximum value of 'y' is given as follows
[tex]y_{max}[/tex] ≈ 459.874
The value of 'x' for which the maximum occurs is x = -3.8109375
c) The coordinate of the point is (12.3, k), therefore, we have;
y = -3.2·x² - 24.39·x + 413.4
When y = 12.3, therefore, -3.2·x² - 24.39·x + 413.4 = 12.3
-3.2·x² - 24.39·x + 413.4 = 12.3
-3.2·x² - 24.39·x + 413.4 - 12.3 = -3.2·x² - 24.39·x + 401.1 = 0
By the quadratic formula, we have;
x = (24.39 ± √((-24.39)² - 4×(-3.2)×401.1))/(2 × (-3.2))
x ≈ -15.63748 or x ≈ 8.015600
Therefore, k ≈ -15.63748 or k ≈ 8.015600
can somebody help me ?
Answer:
$3.07
Step-by-step explanation:
36.84/12=3.07
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Which expression is equivalent to 2( 7c - 8 )?
Answer:
14c-16
Step-by-step explanation:
Answer:
14c - 16
Step-by-step explanation:
2( 7c - 8 ) All you do is distribute:
14c - 16
Ace
Apples cost $0.95 per pound and bananas cost $1.10 per pound.
Leah bought a total of 8 pounds of apples and bananas for $8.05.
a+b=8
The system of equations
models this
0.95a + 1.10b = 8.05
situation, where a is the number of pounds of apples and b is
the number of pounds of bananas. How many pounds of each did
Leah buy?
1
Answer:
I think the answer would be 3.92682926829
Step-by-step explanation:
Honestly i dont think i did this right at all. But i hope i did.
Here is what i did:
0.95 + 1.10 = 2.05
8.05 divided by 2.05 = 3.92682926829
Im so sorry if you get this wrong. I honestly am having an off day. Good luck :(
Cyanobacteria, also known as blue-green algae, are a kind of bacteria found in many lakes. These organisms make their own food through photosynthesis. Small animals, including mayfly larvae, eat the cyanobacteria. Small fish, such as yellow perch, eat the mayfiy larvae. The small fish provide food for larger fish, such as walleye. Choose the level of the food pyramid that represents the energy role of cyanobacteria in the lake ecosystem.
Level 1
Level 2
Level 3
Level 4
This is GCF so ..
-3x^4+12x^3-21x^2
Answer:
The greatest common factor in that expression is 3x², giving you the expression:
3x²(-x² + 4x -7)
Step-by-step explanation:
All three terms are divisible by three:
3(-x⁴ + 4x³ - 7x²)
Each term is also divisible by x²:
3x²(-x² + 4x -7)
So the greatest common factor is 3x²
Simplify the expression.
3.7 - 4.7n - 3n + 8
A quadrilateral has
no pairs of parallel
sides. What two
Shapes could it be?
(Not trapezium/trapezoid
kite, rhombus)
Answer:
parallelism
Step-by-step explanation:
I'm just looking also the answer!
A baker buys a 5 lb bag of sugar. She uses 1 2/3 lb to make some muffins and 2 3/4 lb to make a cake. How much sugar does she have left?
do step by step
Answer:
7/12 lb of sugar.
Step-by-step explanation:
first we add 1 2/3 and 2 3/4, which will give you 4 5/12 then subtract 5 lb by 4 5/12 and your answer will be 7/12
2.(03.07)
Solve 2x^2 - 8x = -7. (2 points)
Answer:
Step-by-step explanation:
Make a quadratic:
2[tex]x^{2}[/tex]-8x+7=0
Then use quadratic formula to solve.
It would be x= 2 ± [tex]\frac{2}{\sqrt{2} }[/tex]
ABE is the image of ACD after a dilation centered at the origin. Which ratio is equal to the scale factor of k of the dilation
1.2/3
2.3/2
3.3/4
4.4/3
Answer:
3
Step-by-step explanation:
Evaluate.
(4/9)^2 pleaseee
Answer:
simplified: (16/81)
rewritten: (2/3)^4
Step-by-step explanation:
hope this helps! if wrong you can delete it :)
Cornell is going to purchase a flat-screen TV for $367. The store charges 8% sales tax. What will the total price be for Cornell's purchase?
The answer options are in the photo.
(I accidentally clicked the A so that is why it’s like that)
Is it a 3 or 4 choice question?