Answer:
Step-by-step explanation:
Simple interest is I = prt where I is the interest earned in dollars, p is the initial investment in dollars, r is the interest rate in decimal form, and t is time in years. For us,
p = 37800
r = .04 and
t = 1/2 (6 months is half a year)
I = 37800(.04)(.5) so
I = $756
The value of the account after that interest is
37800 + 756 = $38556
if 7 is added to a number then it becomes at least 15 what is the number?
Step-by-step explanation:
yeah,when 15-7=8
the number is 8
Please help quick!!! I need to turn this in soon
Answer:
A) NO and NM
Step-by-step explanation:
What might you conclude if a random sample of 23 time intervals between eruptions has a mean longer than 108 minutes? Select all that apply.
Answer:
What I would conclude when a random sample of 23 time intervals between eruptions has a larger mean longer than 108 minutes is that there must be an error that occurred somewhere while computing the result.
Step-by-step explanation:
Technically error can be explained as the estimated difference between the real value or calculated value and an observed value of a certain quantity.
basically we have three types of error which are;
1. systematic errors.
2.random errors.
3.Bluders.
find the area of the Triangle
6 ft
12 ft
Answer:
area = 36 ft²
Step-by-step explanation:
no figure has been given ..
therefore, area of a triangle = 1/2 * b * h
assume b = 6 ft
assume h = 12 ft
area = 1/2 * 6 * 12
area = 36 ft²
Below is the computer output for the appraised value (in thousands of dollars) and number of rooms for houses in East Meadow, New York. Predict the price of a 9 room house (in thousands of dollars) The regression equation is value 748+19.7 rooms Coef 9.718 R-sq 43.896 Stdev 19.04 2.631 t-ratio 3.93 7.49 Constant Rooms S 29.05 Analysis of Variance Source R-sq (adj) 43.0% MS 47398 844 DF 47398 60775 108173 Regression rror Total 72 73 a) 370.262 b) 257.262 c) 252.262 d) 362.262 e) 756.786 f) None of the above
Answer:
The predicted price of a 9 room house is $925.3 K.
Step-by-step explanation:
The regression equation for predicting the appraised value (in thousands of dollars) from the number of rooms for houses in East Meadow, New York is as follows:
[tex]\text{Value}=748+19.7\ \text{Rooms}[/tex]
Compute the price of a 9 room house as follows:
[tex]\text{Value}=748+19.7\ \text{Rooms}[/tex]
[tex]=748+(19.7\times 9)\\\\=748+177.3\\\\=925.3[/tex]
Thus, the predicted price of a 9 room house is $925.3 K.
The price of a 9-room house is (c) $252.262
The regression equation is given as:
[tex]\mathbf{y = 74.8 + 19.7 \times rooms}[/tex]
For a 9-room house, we have:
Rooms = 9
Substitute 9 for rooms in the above regression equation
[tex]\mathbf{y = 74.8 + 19.7 \times 9}[/tex]
Multiply
[tex]\mathbf{y = 74.8 + 177.3}[/tex]
Add
[tex]\mathbf{y = 252.1}[/tex]
The closest to this value is (c) $252.262
Hence, the price of a 9-room house is (c) $252.262
Read more about regression equations at:
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Five bulbs of which three are defective are to be tried in two bulb points in a dark room
Number of trials the room shall be lighted is
(a) 6
(b) 8
(c) 5
(d) 7.
Answer:
D 7
Step-by-step explanation:
Total no. of bulb= 5
no. of defected bulb= 3
no. of not defected bulb=2
Total no. of bulb combination = 5C2
=5!/2!(5-2)!
= 5!/2!3!
= 5×4×3×2×1/2×1×3×2×1
=120/12
=10
( since a room can be lighted with one bulb also)
total no. of bulb combination when room shall not light = 3C2
3!/2!(3-2)!
= 3!/2! 1!
= 3×2×1/2×1×1
= 6/2
=3
Now,
Total no. of trial when room shall light
=10-3
=7
Hence, number of trial when the room shall be lighted is 7 which is option d
Find the fourth term in the expansion of the binomial
(4x + y)^4
a) 16xy^3
b) 256x^4
c) 64y^4
d) 4xy^3
Answer:
a) 16xy³
Step-by-step explanation:
For a binomial expansion (a + b)ⁿ, the r+1 term is:
nCr aⁿ⁻ʳ bʳ
Here, a = 4x, b = y, and n = 4.
For the fourth term, r = 3.
₄C₃ (4x)⁴⁻³ (y)³
4 (4x) (y)³
16xy³
plz give me correct answers
Answer: the distance from home to father's ofgice is 2km and 950 m.
hope its what you are searching for..
What is the probability of getting a number less than 2 OR a prime number upon rolling a six-sided die?
Answer:
1/18Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = expected outcome/total outcome
Since a six-sided die is rolled, the total outcome will be the total number of possible siedes a die contain {1, 2, 3, 4, 5, 6} i.e 6 elements
If a number less than 2 is gotten, the expected outcome will be {1} i.e 1 element.
Probability of getting a number less than 2 = 1/6
If a prime number is gotten, the outcome will be the elements {2, 3, 5} i.e 3 elements.
The probability of getting a prime number = 3/6 = 1/2
The probability of getting a number less than 2 OR a prime number upon rolling a six-sided die will be 1/6*1/2 = 1/18
Answer:
Step-by-step explanation:
On a six-sided die, there is only one way to get a number less than 2, which is by rolling a 1. So the probability of getting a number less than 2 is:
P left parenthesis l e s s space t h a n space 2 right parenthesis equals 1 over 6
There are three primes numbers when rolling a six-sided die, which are {2, 3, 5}. So the probability of getting a prime number is:
P left parenthesis p r i m e right parenthesis equals 3 over 6
Since there is no overlap between these two events, the probability of getting a number less than 2 OR a prime number is:
P left parenthesis l e s s space t h a n space 2 space o r space p r i m e right parenthesis equals P left parenthesis l e s s space t h a n space 2 right parenthesis plus P left parenthesis p r i m e right parenthesis equals 1 over 6 plus 3 over 6 equals 4 over 6 equals 2 over 3
Answer is 2/3
Please answer this correctly
Answer:
1/7
Step-by-step explanation:
There are 7 cards, 1 of which is less than 2. Therefore, P (less then 2) = 1/7
Answer:
1/7
Step-by-step explanation:
The number from the list that is less than 2 is 1.
1 number out of a total of 7 numbers.
= 1/7
find the third angle in a triangle when the other two angles are (2a-32)° and (3a+22)°
Answer:
(190-5a)°
Step-by-step explanation:
Sum of internal angles of a triangle equals to 180°
If the third angle is x, then we have:
(2a-32)°+(3a+22)° +x = 180°(5a- 10)° +x= 180°x= (180+10-5a)°x= (190-5a)°The third angle is: (190-5a)°
HELP SNOG OR WHOEVER (x+3)(y-19)
Answer:
xy-19x+3y-57
Step-by-step explanation:
Once again, FOIL is the way to go!
First, Outside, Inside, Last
xy-19x+3y-57
Answer:
xy-19x+3y-57
Step-by-step explanation:
(x+3)(y-19)
FOIL
first: xy
outer: -19x
inner 3y
last -57
Add them together
xy-19x+3y-57
The following situation can be modeled by a linear function. Write an equation for the linear function and use it to answer the given question. Be sure you clearly identify the independent and dependent variables. Then briefly discuss whether a linear model is reasonable for the situation described. The price of a particular model car is $19,000 today and rises with time at a constant rate of $960 per year. How much will a new car of this model cost in 3.7 years?
Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.)
A. The independent variable is the price (o) in dollars, and the dependent variable is time (1), in years. The linear function that models this situation is __________
B. The independent variable is time (), in years, and the dependent variable is the price (p), in dollars. The linear function that models this situation is________
The price of a car after 3.7 years will be $ (Simplify your answer.) Is a linear model reasonable for the situation?
A. The linear model is most likely not reasonable, because the price of a new car of the same model never changes, regardless of how much time passes.
B. The linear model is most likely not reasonable, because the price of a new car of the same model will always decrease at a constant rate.
C. The linear model is most likely not reasonable, because it is unlikely that the price of a new car of the same model will increase at a constant rate. always increases at a constant rate.
Answer: The answer is B)
B. The independent variable is time (t), in minutes, and the dependent variable is rental cost (r), in dollars. The linear function that models this situation is r equals to r=0.55x+8
Step-by-step explanation:
A recipe requires 31 cup of milk for each 41 cup of water. How
many cups of water are needed for each cup of milk?
Step-by-step explanation:
here,
31 cup of milk require 41 cup of water.
1 cup of milk require 41/31 cup of water.
so, 41/31 cup of water is required for 1 cup of milk.
hope u get it..
Extend the rate table to find the unknown value in the proportion
A. a = 132
B. a = 216
C. a = 324
D. a = 972
Answer:
a = 324
Step-by-step explanation:
The last entry in the table can be multiplied by 3:
3(27/2, 108) = (81/2, 324)
Apparently, ...
a = 324
Evaluate. Write your answer as a fraction or whole number without exponents. 6^–4 =
Answer:
The answer is 1/1296
Step-by-step explanation:
6^-4 can be written as 1/6⁴
And
1/6⁴ = 1/1296
Hope this helps you.
QUESTION 1 (ONLY ANSWER FOR ALL QUESTIONS) a) 2x/3 =8 (what is x=?) b)3x/2 =6 (what is x=?) QUESTION 2 a)x/3 -2 =6 (what is x=?) b )x/5 +1 = 5 (what is x=?) QUESTION 3 a) 5x/2 +1 =11 (what is x=?) b)2x/7 -3 = 2 (what is x=?)
Answer:
1 (a) x = 12
1 (b) x = 4
2 (a) x = 24
2 (b) x = 20
3 (a) x = 4
3 (b) x = 17.5
Step-by-step explanation:
1 (a)
2x/3 = 8
2x = 8 × 3
2x = 24
x = 24 ÷ 2
x = 12
1 (b)
3x/2 = 6
3x = 6 × 2
3x = 12
x = 12 ÷ 3
x = 4
2 (a)
x/3 - 2 = 6
x/3 = 6 + 2
x/3 = 8
x = 8 × 3
x = 24
2 (b)
x/5 + 1 = 5
x/5 = 5 - 1
x/5 = 4
x = 4 × 5
x = 20
3 (a)
5x/2 + 1 = 11
5x/2 = 11 - 1
5x/2 = 10
5x = 10 × 2
5x = 20
x = 20 ÷ 5
x = 4
3 (b)
2x/7 - 3 = 2
2x/7 = 2 + 3
2x/7 = 5
2x = 5 × 7
2x = 35
x = 35 ÷ 2
x = 17.5
HELP! will give brainlest or whatever its called... Triangle ABC has vertices A(–2, 3), B(0, 3), and C(–1, –1). Find the coordinates of the image after a reflection over the x-axis. A’ B’ C’
Answers:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
=======================================================
Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as [tex](x,y) \to (x,-y)[/tex]
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)Point B = (0, 3) becomes B ' = (0, -3)Point C = (-1, -1) becomes C ' = (-1, 1)The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
Answer:
(-2,-3)...(0,-3)...(-1,1)
Step-by-step explanation:
Marty and Jean are married and have 4-year-old twins. Jean is going to school full-time for 11 months of the year, and Marty earns $59,200. The twins are in day care so Jean can go to school while Marty is at work. The cost of day care is $10,100. TABLE 6.1 CHILD AND DEPENDENT CARE CREDIT PERCENTAGES Adjusted Gross Income Applicable Percentage Over But Not Over $0 – $15,000 35% 15,000 – 17,000 34% 17,000 – 19,000 33% 19,000 – 21,000 32% 21,000 – 23,000 31% 23,000 – 25,000 30% 25,000 – 27,000 29% 27,000 – 29,000 28% 29,000 – 31,000 27% 31,000 – 33,000 26% 33,000 – 35,000 25% 35,000 – 37,000 24% 37,000 – 39,000 23% 39,000 – 41,000 22% 41,000 – 43,000 21% 43,000 – No limit 20% What is their child and dependent care credit?
Answer:
Answer: $2,000
Step-by-step explanation:
-Use form 2441 on the IRS website for 2019.
-Wages earned=$45,000, therefore, it would be between "over 43,000 but not over 'No Limit' " which is 20% (.20)
-$10,000(paid in daycare) × .20 = $2,000
What is the measure of PSQ?
Answer:
Do you have an image because I'm a bit confused with you just asking the measure of PSQ.
Step-by-step explanation:
What steps are used to solve the equation? g – 8 = 14 Complete the statements. First, both sides of the equation. The solution of the equation is . Check the solution by substituting for g and simplifying.
Answer:
g=22
Step-by-step explanation:
add 8 to both sides
g-8=14
g-8+8=14+8
g=14+8
g=22
The solution of expression g - 8 = 14 is,
⇒ g = 22
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ g - 8 = 14
Now, We can simplify as,
⇒ g - 8 = 14
Add 8 both side,
⇒ g - 8 + 8 = 14 + 8
⇒ g = 22
Thus, The solution of expression g - 8 = 14 is,
⇒ g = 22
Learn more about the mathematical expression visit:
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Flora paid her supplier $0.75 a stem for roses to sell at her flower shop. She added an 80% markup. What is the amount of markup?
Answer:
$0.60
Step-by-step explanation:
the question ask us to find the amount of the markup on Flora’s roses. The amount of markup is given by:
markup rate x original price = amount of markup
the markup rate is in decimal form
since the original price was $0.05 and the markup price is 80% = 0.80, we have
0.80 x .075 = 0.60
thus, the amount of the markup on Flora’s roses was $0.60
Josh and Lucy share some money in the ratio 3:7. What fraction of the money does Josh receive?
Answer:
3/10ths of the money
Step-by-step explanation:
Add together the two numbers to get the total.
Josh gets 30 percent and Lucy gets 70 percent.
3/10
Answer:
3/10
Step-by-step explanation:
3+7=10
Josh=3
Lucy=7
Question 4
If Madeline wanted to know whether or not her sample results could be generalized to the population, she would use
Answer:
Inferential statistical methods
Step-by-step explanation:
Remember, Madeline had obtained sample results, but she wants to decide whether to apply the sample results to the entire population. To do this, she can use the following:
- estimate her research parameters or
- or perform a hypothesis test which answers her research objectives.
Based on the results she gets, Madeline, can to thus infer from the sample results and apply them to the population.
The function fx =-x^2-4x+5 is shown on the graph which statement is true
Answer:
Option (3)
Step-by-step explanation:
Given question is incomplete; here is the complete question.
The function f(x) = –x2 – 4x + 5 is shown on the graph. Which statement about the function is true?
The domain of the function is all real numbers less than or equal to −2.
The domain of the function is all real numbers less than or equal to 9.
The range of the function is all real numbers less than or equal to −2.
The range of the function is all real numbers less than or equal to 9
By using a graph tool we get a parabola opening downwards.
Since domain of a function is represented by x-values and range by y-values.
Domain of the given function will be (-∞, ∞)
Range of the function will be (-∞, 9] Or a set of all real numbers less thn equal to 9.
Therefore, Option (3) will be the answer.
Circles c and c are similar state the translation rule and the scale factor of dilation
To obtain circle C', circle C was translated to the right 3 units and down 2 units, then dilated by a scale factor of 2
What is a transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Dilation is the increase or decrease in the size of a figure.
To obtain circle C', circle C was translated to the right 3 units and down 2 units, then dilated by a scale factor of 2
Find out more on transformation at: brainly.com/question/4289712
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Coupons driving visits. A store randomly samples 603 shoppers over the course of a year and nds that 142 of them made their visit because of a coupon they'd received in the mail. Construct a 95% con dence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail.
Answer:
The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 603, \pi = \frac{142}{603} = 0.2355[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694[/tex]
The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)
Find the value of x in the diagram below. A. B. C. D. Please select the best answer from the choices provided A B C D
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Trigonometry.
Since we have to use here, Sine ration.
Sine of an Angle = Perpendicular side/Hypotenuse Side.
So we get as,
X = 3 .
Answer:
the answer is c
Step-by-step explanation:
correct answer will get brainliest!
Study the steps used to solve the equation. Given: StartFraction c Over 2 EndFraction minus 5 equals 7 Step 1: StartFraction c Over 2 EndFraction minus 5 plus 5 equals 7 plus 5 Step 2: StartFraction c Over 2 EndFraction plus 0 equals 12 Step 3: StartFraction c Over 2 EndFraction equals 12 Step 4: 2 (StartFraction c Over 2 EndFraction) equals 12 (2) Step 5: c equals 24 Choose the property that justifies each step of the solution. Step 1: Step 2: Step 3: Step 4:
Answer:
addition property of equalityintegers are closed to additionidentity elementmultiplication property of equalitycommutative property of multiplication; reals are closed to multiplication; identity elementStep-by-step explanation:
Given:
c/2 -5 = 7
Step 1: c/2 -5 +5 = 7 +5
Step 2: c/2 +0 = 12
Step 3: c/2 = 12
Step 4: 2(c/2) = 12(2)
Step 5: c = 24
Find:
The property that justifies each step of the solution.
Solution:
Step 1: addition property of equality (lets you add the same to both sides)
Step 2: integers are closed to addition
Step 3: identity property of addition (adding 0 changes nothing)
Step 4: multiplication property of equality
Step 5: closure of real numbers to multiplication; identity property of multiplication
_____
It is hard to say what "property" you want to claim when you simplify an arithmetic expression. Above, we have used the property that the sets of integers and real numbers are closed to addition and multiplication. That is, adding or multiplying real numbers gives a real number.
In Step 5, we can rearrange 2(c/2) to c(2/2) using the commutative property of multiplication. 2/2=1, and c×1 = c. The latter is due to the identity element for multiplication: multiplying by 1 changes nothing.
Apart from the arithmetic, the other properties used are properties of equality. Those let you perform any operation on an equation, as long as you do it to both sides of the equation. The operations we have performed in this fashion are adding 5 and multiplying by 2.
Answer:
Step 1 ~ addition property of equality
Step 2 ~ additive inverses
Step 3 ~ additive identity
Step 4 ~ multiplication property of equality
Explanation:
Addition property of equality means that If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. In this problem, they added 5 to both sides to make the equation balanced.
Additive inverses means what you add to a number to get zero. The negative of a number. -5 + 5 = 0.
Additive identity means that the sum of a number and 0 is that number.
Multiplication property of equality states that when you multiply both sides of an equation by the same number, the two sides remain equal. In this problem, they multiplied 2 to both sides to get rid of the denominator in the fraction.