To set up an equation to show the total amount, we can use the formula for compound interest:
A = P(1 + r/n)^nt
Where:
A = the total amount
P = the principal (initial investment)
r = the interest rate
n = the number of times the interest is compounded per year
t = the time period (in years)
For the investment at Citibank:
P = $400
r = 3%
n = 1 (compounded annually)
t = 1 (since it is compounded annually)
So, the equation would be:
A1 = $400(1 + 0.03/1)^(1*1)
A1 = $412
For the investment at the second bank:
P = $400
r = 4.2%
n = ∞ (compounded continuously)
t = 1 (since it is for 1 year)
So, the equation would be:
A2 = $400e^(0.042*1)
A2 = $416.99
To find the total amount, we can add the two amounts together:
Total amount = A1 + A2
Total amount = $412 + $416.99
Total amount = $828.99
Therefore, Talissa's total amount after one year with the two investments is $828.99.
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ASAP
How would the following triangle be classified?
isosceles
scalene
isosceles acute
equilateral
Answer:
equilateral triangle is the answer
6) What number when added to 1/1/3 gives 2?
(A)1/3
(B)2/4
(C)1/2/3
(D)3/1/3
Answer:
2/3
Step-by-step explanation:
2 - 1 1/3 = 2/3
Convert 0.5% to a decimal. 0.005 0.05 5.0 0.5. 35% of 70 is _____. 50 245 24.5. 90 is 50% of what number? 180 120 45. What is the total cost of a pair of jeans that are priced $50.00 if there is 7% sales tax? $57.50 $53.75 $55.50
Answer:
ayo keen
Step-by-step explanation:
u there?
11) Which measurement(s) would help determine absolute dates by radiometric means?
A) the accumulation of the daughter isotope
B) the loss of parent isotopes
C) the loss of daughter isotopes
D) Three of the responses above are correct.
E) Two of the responses above are correct.
The correct answer is E) Two of the responses above are correct:
The measurement(s) that would help determine absolute dates by radiometric means are the accumulation of the daughter isotope and the loss of parent isotopes. These two measurements are crucial in radiometric dating methods, which rely on the decay of radioactive isotopes in rocks and minerals over time.
In radiometric dating, scientists measure the ratio of parent isotopes to daughter isotopes in a sample. The parent isotopes decay at a known rate, converting into daughter isotopes. By determining the amount of parent isotope that has decayed and the accumulation of daughter isotope, scientists can calculate the age of the sample.
For example, if a rock sample contains a radioactive isotope with a half-life of 1 million years, and 75% of the parent isotope has decayed into the daughter isotope, it can be inferred that the rock is approximately 2 million years old (since two half-lives have passed).
Therefore, the correct answer is E) Two of the responses above are correct: the accumulation of the daughter isotope and the loss of parent isotopes are measurements that help determine absolute dates by radiometric means.
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Which of the following assumptions is not true for multiple linear regression?
Group of answer choices
o The independent variables are not correlated.
o The residuals are normally distributed.
o The relationship between dependent and independent variables is linear.
o There will be a multi-collinearity effect.
The assumption which is not true for multiple linear regression is that there will be a multi-collinearity effect. What is multiple linear regression? Multiple linear regression is a regression method where the response variable is dependent on more than one independent variable. Multiple linear regression is an extension of linear regression, where one response variable is dependent on one independent variable. It helps to determine the nature of the relationship between dependent variables and independent variables in the form of linear equations. It is used to find out the relationship between variables and make predictions based on that relationship. Assumptions of multiple linear regression1. Linearity, It is assumed that the relationship between the independent variables and dependent variables is linear. This implies that as the value of the independent variable changes, the change in the dependent variable is constant.2. Independence, There should be independence among the observations. This implies that there should not be any relationship between the residuals of the observations.3. Homoscedasticity implies that the variance of residuals should remain constant across all levels of the independent variable.4. Multicollinearity, It is the condition where the independent variables are highly correlated with each other. If there is perfect collinearity, it will not be possible to obtain the estimates of regression coefficients.5. Normality, The residuals should follow a normal distribution with mean zero and constant variance. The residuals should be normally distributed and centered on zero. The assumptions that are true for multiple linear regression are: The independent variables are not correlated. The residuals are normally distributed. The relationship between dependent and independent variables is linear. The assumption which is not true for multiple linear regression is that there will be a multi-collinearity effect. Hence, the correct option is D) There will be a multi-collinearity effect.
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Please Help me - You will get 60 points for the rapid reply- Use isosceles trapezoid ABCD to determine the following measurements-
Answer:
1) AD = 9 in
2) DE = 9.25 in
3) ∠EDC = 36°
4) ∠AEB = 108°
5) 11.5 in
Step-by-step explanation:
1) AD = BC = 9in
2) AC = BD (diagonals are equal)
⇒ BD = 14.25
⇒ BE + DE = 14.25
⇒ 5 + DE = 14.25
DE = 9.25
3) Since AB ║CD,
∠ABE = ∠EDC = 36°
4) ∠ABE = ∠BAE = 36°
Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)
⇒ 36 + 36 + ∠AEB = 180
∠AEB = 108
5) midsegment = (AB + CD)/2
= (8 + 15)/2
11.5
Enter the correct answer in the box. what is the standard form polynomial that represents this product? 
The standard form polynomial that represents the product (-2m^3 + 3m^2 - m)(4m^2 + m - 5) is: -8m^5 + 14m^4 - 7m^3 - 3m^2 + 4m - 10
To find the product of the given polynomials, we need to apply the distributive property and multiply each term of the first polynomial with each term of the second polynomial.
(-2m^3 + 3m^2 - m)(4m^2 + m - 5) can be expanded as follows:
-2m^3(4m^2 + m - 5) + 3m^2(4m^2 + m - 5) - m(4m^2 + m - 5)
Applying the distributive property, we have:
-8m^5 - 2m^4 + 10m^3 + 12m^4 + 3m^3 - 15m^2 - 4m^3 - m^2 + 5m + 4m^2 + m - 5
Combining like terms, we get:
-8m^5 + 14m^4 - 7m^3 - 3m^2 + 4m - 10
Therefore, the standard form polynomial representing the product is -8m^5 + 14m^4 - 7m^3 - 3m^2 + 4m - 10.
#Enter the correct answer in the box. What is the standard form polynomial that represents this product?
(-2m3 + 3m2 - m)(4m2 + m - 5)
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what is the result of 2.130 x 10³ - 6.6 x 10² =
Answer:
The answer you're looking for is 1470.
Step-by-step explanation:
The method I used was PEMDAS
Since there was no parenthesis, I simplified the exponents.
2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?
After that, I multiplied all terms next to each other.
2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?
The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.
1470 = ?
I hope this was helpful!
if I draw a marble 48 times a white marble is selected 35 times ana a yellow one is selected 13 times what is the probability of the next one to be yellow
A 13%
B 27%
C 51%
D 63%
The probability of drawing a yellow marble on the next draw is 13/48, which is option A, 13%.
What is the probability of the next marble is yellow?The probability of drawing a yellow marble in the next draw depends on whether the drawing process is with or without replacement.
If the drawing process is with replacement, meaning that the marble is put back into the bag after each draw, then the probability of drawing a yellow marble remains the same at 13/48.
If the drawing process is without replacement, meaning that the marble is not put back into the bag after each draw, then the probability of drawing a yellow marble changes. After 48 draws, there are 35 white marbles and 13 yellow marbles left in the bag.
Therefore, the correct answer is A) 13%.
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Write an explicit rule and recursive rule for a geometric sequence with a 2nd term of 6 and a 3rd term of 12.
Answer:
57777788999999888889999
If sint=18 , and t is in quadrant i, find the exact value of sin(2t) , cos(2t) , and tan(2t) algebraically without solving for t
The value of Sin2t is 1/4 and cos2t is (15/16)^1/2 and tan2t is 1/(15)^1/2.
According to the statement
we have given that the sint=1/8 then we have to find the exact value of
sin(2t) , cos(2t) , and tan(2t).
Here the value of Sint = 18
then sin2t becomes
sin2t = 2*1/8 then
sin2t = 1/4.
And
(Cos2t)^2 = 1 - (Sin2t)^2
(Cos2t)^2 = 1 - 1/16
(Cos2t)^2 = (16 - 1)/16
(Cos2t)^2 = 15/16
(Cos2t) = (15/16)^1/2
then
tan2t = sin2t/cos2t
tan2t = (1/4)/(15)^1/2 / 4
tan2t = 1/(15)^1/2
these are the values of given terms.
So, The value of Sin2t is 1/4 and cos2t is (15/16)^1/2 and tan2t is 1/(15)^1/2.
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Can someone please answer this for me it's for a homework assignment.
what is 28.5 inches in height?
what value of h is needed to complete the square for the equation
To complete the square for the equation \(x^2 + 8x + 32 = (x - h)^2 + 16\),
we need to choose h = -2.
To complete the square for the given equation
\(x^2 + 8x + 32 = (x - h)^2 + 16\),
we need to express the left-hand side of the equation in the form
\((x - p)^2 + q\), where p and q are constants.
We can start by expanding the right-hand side of the equation:
\((x - h)^2 + 16 = x^2 - 2hx + h^2 + 16\)
Now we can compare the coefficients of \(x^2\), x, and the constant term on both sides of the equation:
\(x^2 + 8x + 32 = (x - p)^2 + q\)
=> \(p^2 = 0\) (since the coefficient of \(x^2\) is 1 on both sides)
=> -2hp = 8 (since the coefficient of x is 8 on the left-hand side)
=> h = -2 (solving for h)
=> q = \(h^2 + 16\) = 20 (since the constant term on the right-hand side is 16)
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The complete question may be:
What value of h is needed to complete the square for the equation \(x^2+8 x+32=(x-h)^2+16\) ?
given y=xx−1 and x>1 , which of the following is a possible value of y ?
Possible values of y depend on the value of x. From the given options, we would need to know the specific values of x to determine the corresponding values of y. Without knowing the specific value of x, we cannot identify a specific value of y.
The given equation is y = x^(x-1).
To determine possible values of y, we need to evaluate the expression for different values of x, considering that x > 1.
Let's calculate some values of y for different values of x:
For x = 2:
y = 2^(2-1) = 2^1 = 2
For x = 3:
y = 3^(3-1) = 3^2 = 9
For x = 4:
y = 4^(4-1) = 4^3 = 64
For x = 5:
y = 5^(5-1) = 5^4 = 625
As we can see, possible values of y depend on the value of x. From the given options, we would need to know the specific values of x to determine the corresponding value of y. Without knowing the specific value of x, we cannot identify a specific value of y.
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over 5 months, Carlos wrote 5 checks for a total of $323.75 to pay for his cable TV service. His cable bill is the same amount each month. what was the change to Carlos bank account each month?
If his monthly cable payment is also the same. The monthly balance in Carlos' bank account will be $64.75.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, over 5 months, Carlos wrote 5 checks for a total of $323.75 to pay for his cable TV service. His cable bill is the same amount each month
We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute the total payment in the given duration.
Carlos paid for his cable TV subscription with five cheques totaling $323.75 written over the course of five months.
His monthly cable payment is also the same. The monthly balance in Carlos' bank account is obtained as,
=$ 323.75 / 5
=$ 64.75
Thus, if his monthly cable payment is also the same. The monthly balance in Carlos' bank account will be $64.75.
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(8*10^(3))(4*10^(8))
Answer:
3.2 * 10^12
Step-by-step explanation:
Answer:
3.2 * 10^12
Expanded form
32000000000000
Step-by-step explanation:
What is the missing side length in this right triangle? Round the answer to the nearest tenth.
A: 4.7 units
B: 6.6 units
C: 15.6 units
Answer:
The answer is B. i.e. 6.6units.
The Powerball lottery works as follows
A. There is a bowl of 69 white balls. Five are randomly chosen without replacement. For purpose of being the winner , order does not count.
B. A second bowl contains 29 red balls. One red ball is chosen randomly. That red ball is called the power ball .
C. The winner of the grand prize will chosen correctly all five of the white balls and the one correct red ball .
ale correct red ball.
Use the factional (I) bused formula to find the likelihood of being the winner of the Powerball lottery
The probability of choosing all five white balls correctly from a bowl of 69 white balls and the probability of choosing the correct red ball from a bowl of 29 red balls is \({}^{69}C_5/29\) .
The probability of choosing all five white balls correctly can be calculated using the formula for combinations, where the order does not matter and the balls are chosen without replacement. The probability is given by:
P(Choosing all 5 white balls correctly) = (Number of ways to choose 5 white balls correctly) / (Total number of possible combinations)
The number of ways to choose 5 white balls correctly is 1, as there is only one correct combination.
The total number of possible combinations can be calculated using the formula for combinations, where we choose 5 balls out of 69. It is given by:
Total number of combinations = \({}^{69}C_5\)
Next, we need to calculate the probability of choosing the correct red ball from a bowl of 29 red balls. Since there is only one correct red ball, the probability is 1/29.
Finally, to find the likelihood of being the winner of the Powerball lottery, we multiply the probability of choosing all five white balls correctly by the probability of choosing the correct red ball:
Likelihood = P(Choosing all 5 white balls correctly) * P(Choosing correct red ball)
=\({}^{69}C_5 \times 1/29\\\)
This gives us the probability of being the winner of the Powerball lottery.
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After 8 minutes, a vessel had descended 640
feet. What was the change in elevation of the
vessel each minute?
Answer:
80
Step-by-step explanation:
It's super simple if after 8 minutes a vessel had descended 640 feet the change in the elevation of the vessel was 80ft each minute. Hope this helps :)
Answer:
80 feet per minute
Step-by-step explanation:
May I please receive help?
Answer:
3
Step-by-step explanation:
2. The graph shows the number of feet a remote
control car travels every second.
How far does the remote control car travel per second?
A 1 foot
B 2 feet
C 3 feet
14 feet
Q#2:
E 6 feet
3. The graph of a linear function is shown.
The following points lie on the line: (0, 80) and (8, 60).
What is the equation of the function?
Remote Control Car Distance
y
Distance (in feet)
654321
-
0 1 2 3 456
Time (in seconds)
y
100
Sook 80
60
40
20
X
atsenil s to rigang
Holla
0 2 4 6 8 10
2. The distance traveled by the remote control car each second is given as follows: C. 3 feet.
3. The equation of the linear function is given as follows: y = -2.5x + 80.
How to obtain the distance traveled by the car each second?This distance is the rate of change of the output variable relative to the input variable of the linear function, hence it is the slope of the linear function.
Two points on the graph are given as follows:
(0,0) and (1,3).
Then the slope is calculated as the change in the output divided by the change in the input, as follows:
m = (3 - 0)/(1 - 0) = 3.
Meaning that option C is correct.
How to obtain the equation of the linear function?The linear function in this problem is defined in slope-intercept format, as follows:
y = mx + b.
In which the coefficients are given as follows:
m is the slope.b is the y-intercept.When x = 0, y = 80, hence the intercept is given as follows:
b = 80.
When x increases by 8, y decayed by 20, hence the slope is calculated as follows:
m = -20/8 = -2.5.
This means that the equation is given as follows:
y = -2.5x + 80.
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Al, Bert, and Rob determined that the sum of their ages is 62. Bert is twice as old as Rob, who is 10 years older than Al. How old is each?
Answer: AI is 8, Rob is 18, and Bert is 36
Step-by-step explanation:
Ok, so the sum of their age is 62. Bert is x2 of Rob. Also someone is 10 years older than AI, lets assume Rob is the guy that is 10 years older. x+y+10+(z times 2)=62. So lets solve it. 62-10=52. 52=x+y+(z times 2). Now if you think about it x and y is the same, because the 10 is already minused. So it's now x*2+z*2=52, if you assume it now, z is x+10. So now it is 52=x*2+(x+10)x2. Now we break out the brackets so its x*2+x*2+20=52. Lets simplify it. x*4+20=52, lets swift the 20 the the other side. x*4=52-20, x*4=32. 32/4=8 so 8 is x. Now we know AI is 8, Rob is 18, and Bert is 36!
Convert the following octal number to a hexadecimal number. (You need to type only the final answer. Do not round your answer.) \( 4137.231_{8}= \) 16
To convert the octal number \(4137.231_8\) to a hexadecimal number, the final answer is 16.
To convert an octal number to a hexadecimal number, we first need to convert the octal number to its decimal equivalent and then convert the decimal number to hexadecimal.
The given octal number is \(4137.231_8\). To convert it to decimal, we use the positional notation and multiply each digit by the corresponding power of 8:
\(4137.231_8 = 4 \times 8^3 + 1 \times 8^2 + 3 \times 8^1 + 7 \times 8^0 + 2 \times 8^{-1} + 3 \times 8^{-2} + 1 \times 8^{-3}\)
Simplifying this expression, we get the decimal equivalent as:
\(4137.231_8 = 2223.29375_{10}\)Now, to convert the decimal number to hexadecimal, we divide the integer part and the fractional part separately by 16 repeatedly and obtain the remainder at each step. The remainders are then converted to hexadecimal digits.
Converting \(2223_{10}\) to hexadecimal, we get \(8BF_{16}\).
Converting \(0.29375_{10}\) to hexadecimal, we get \(4B_{16}\).
Combining the two parts, we have:
\(4137.231_8 = 8BF.4B_{16}\)
Therefore, the hexadecimal equivalent of \(4137.231_8\) is 16.
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Math division help if can
Answer: A. 2 17 /21
Step-by-step explanation:you divide them.You change both mixed number to improper fraction.which is 236 /9 divide 28 /3.You do kcf which stand for KEEP CHANGE FLIP.YOU KEEP 236/9 and change Divide to mulipction sign and flip 28/3 to 3/28.You multiply236 /9 and 28/3 which gives u 708 /252.After that u simply it to 59 /21 .Lastly change back to mix number which is 2 17/21.
Hope it helps bye ;)
4. A pizza shop has 12" pizzas with 6 slices and 16" pizzas with slices. Which pizza has bigger slices?
Determine 5% of 300 expressing the percent as a fraction. -Express 5% as 5 100 = 1 20 . -Determine 1 20 of 300.
300/4 ÷ 4/4 [Divide the numerator and denominator by 4] = 75%. Answer: 75% (ii) Express 12/5 as a percent. Solution: 12/5 × 100 = (12 × 100)/5 = 1200/5
Using The Chi-Square Distribution Table, find the values for Xict and Right of the following. Part: 0/5 Part 1 of 5 х 5 = (a) When a = 0.01 and n= 31, Ket Light
When a = 0.01 and n = 31, the Xict value for the Chi-Square Distribution is 53.672.
To find the values for Xict and Right using the Chi-Square Distribution Table, we need to follow these steps:
Step 1: Identify the degrees of freedom (df). In this case, since n=31, the degrees of freedom will be df = n-1 = 31-1 = 30.
Step 2: Identify the significance level (α). In this case, α = 0.01.
Step 3: Locate the row corresponding to the degrees of freedom in the Chi-Square Distribution Table.
Step 4: Locate the column corresponding to the significance level in the Chi-Square Distribution Table.
Step 5: Find the intersection of the row and column identified in steps 3 and 4. This value is your Xict.
For Part 1 of 5 (a), with α = 0.01 and df = 30, using a Chi-Square Distribution Table, you will find the Xict value as 53.672. This means that when a = 0.01 and n = 31, the Xict value for the Chi-Square Distribution is 53.672.
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Find the area of the given isosceles triangle.
Answer:
.....................
find the area of the circumference of a circle with diameter 7yd use the value 3.14 as pie
Given,
Diameter of the circle = 7 ydHave to take the value of π as 3.14\( \: \)
To Find,
The area and the circumference of a circle.\( \: \)
Solution :
As, the diameter is 7 yd, therefore the radius will be 3.5 ydFirst of all, we'll find the circumference of the circle :
\(\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Circumference_{(circle)} = 2 \pi r}}}}}} \: \: \bigstar \\ \\\)
Now, we'll substitute the required values in the formula :
\(\\ { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 2 \times 3.14 \times 3.5}}} \: \: \\ \\\)
\( { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 3.14 \times 7}}} \: \: \\ \\\)
\( { \longrightarrow \qquad{ \sf{ \pmb{ \: Circumference_{(circle)} = 21.98}}}} \: \: \\ \\\)
Therefore,
The circumference of the circle is 21.98 yd\( \: \)
Now, we'll find the area of the circle :
\(\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Area_{(circle)} = \pi r^2}}}}}} \: \: \bigstar \\ \\\)
\({ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times { \times (3.5)}^{2} }}}}}} \: \: \\ \\\)
\({ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times { \times 3.5 \times 3.5 }}}}}}} \: \: \\ \\\)
\({ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times 12 .25 }}}}}} \: \: \\ \\\)
\({ \longrightarrow \qquad{ {{\pmb { \sf{ \: \: Area_{(circle)} = 38.465 }}}}}} \: \: \\ \\\)
Therefore,
The area of the circle is 38.46 yd² approximately