Answer: See Explanation
Step-by-step explanation:
Simple interest is calculated as:
= principal × rate × time.
The interest for a 2% interest rate loan of $3000 for 1 year will be:
= principal × rate × time.
= $3000 × 2% × 1
= $3000 × 2/100 × 1
= $3000 × 0.02 × 1
= $60
The interest for a 3% interest rate loan of $3500 for 1 year will be:
= principal × rate × time.
= $3500 × 3% × 1
= $3500 × 3/100 × 1
= $3500 × 0.03 × 1
= $105
Help asap, I will give brainliest.
Answer:
-3 ?? i think this is correct
Step-by-step explanation:
i did 3x-1
Write a rule for a function with a parabolic graph that contains the x-intercepts (-20,0) and (40,0) and a maximum point whose y-coordinate is 30.
Step-by-step explanation:
Since the x-intercepts are -20 and 40, the line of symmetry is x = (-20 + 40)/2 = 10.
Now we have y = a(x - 10)² + 30, where a is an unknown constant. We can find a by using an x-intercept point.
=> (0) = a[(40) - 10]² + 30
=> 900a + 30 = 0, a = -1/30.
Hence the rule is y = -(x - 10)²/30 + 30.
What is the equation of a horizontal line that passes through the point (-3, 4)?
A. y=3 B. y=-3 C. y=4 D.y=-4
Answer: C
Step-by-step explanation:
Since the points are ( -3,4 ) it passes through 4 in the y axis.
Meaning it will pass through 4 which is C.
Answer:
y = 4
Step-by-step explanation:
how many inches is 2 1/6 ft
Answer:
26 inches
Step-by-step explanation:
The school that Kathryn goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 adult ticket and 8 student tickets for a total of $56. The school took in $14 on the second day by selling 1 adult ticket and 1 student ticket. What is the price of each of on adult ticket and one student ticket
Answer:
Step-by-step explanation:
a+s=14
a=14-s
a+8s=56, using a from above in this equation gives
14-s+8s=56
14+7s=56
7s=42
s=6
a=14-s
a=14-6=8
So student tickets cost $6 and adult tickets cost $8.
Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 4(m∠Y) − 210°. Find m∠Y.
Answer:
angle Y= 60 degrees
Step-by-step explanation:
angle S + angle Y = 90 degrees because they are complementary
Y = 90 - S
angle S = 4(Y)-210
substitute for Y
S = 4(90 - S) - 210
S = 360 - 4S - 210
reduce
5S = 150
S = 30
Y = 90 - 30 = 60
There are 30 female performers in a dance recital. The ratio of men to women is 4:5. How many men are in the dance recital?
ou intend to draw a random sample in order to test a hypothesis about an unknown population mean. You will use a hypothesis test. A description of each of the steps of a hypothesis test follows, but they may be specified in the incorrect order. Specify the correct order of the steps. Determine the null and alternative hypotheses. Draw a conclusion about the unknown population using what is known about the sample. Determine the probability at which you will conclude that the sample outcome is very unlikely. Draw a random sample, and calculate the sample statistic.
Answer:
Determine the null and alternative hypotheses : STEP 1
Draw a conclusion about the unknown population using what is known about the sample : STEP 4
Determine the probability at which you will conclude that the sample outcome is very unlikely : STEP 2
Draw a random sample and calculate the sample statistic : STEP 3
Step-by-step explanation:
The correct order of the steps are :
Determine the null and alternative hypotheses : STEP 1
Draw a conclusion about the unknown population using what is known about the sample : STEP 4
Determine the probability at which you will conclude that the sample outcome is very unlikely : STEP 2
Draw a random sample and calculate the sample statistic : STEP 3
a department store sells a pair of shoes with an 87% markup, if the store bought the pair of shoes for 55.25, what is the selling price to the nearest dollar?
Answer:
$103
so 87% of $55.25 is 48.0675
48.0675+55.25 is 103.3175
103.3175 rounded to the nearest dollar is 103.
The pottery class has 16 pounds
of clay. Each student got 1/2 of a
pound of clay to make a plate.
How many plates did the
students make?
Answer:
32 plates
Step-by-step explanation:
If the pottery class has 16 pounds of clay and each student got 1/2 of a pound;
then;
1 plate = 1/2 pounds
xplate = 16pounds
Divide both expressions
1/x = 1/2÷16
1/x = 1/2*!6
1/x = 1/32
x = 32
Hence the student will make 32 plates
What is the sum of
1
2
+
1
4
? Use the fraction strip to help.
One whole fraction strip is equal in length to one one-half fraction strip combined with two one-fourth fraction strips. One-whole fraction strip is also equal to eight one-eighth fraction strips.
Answer:
Step-by-step explanation:
3/4
Answer:
3/8
Step-by-step explanation:
first find a good denominators then multiply the numerators by how many times it took you to get the denominator then add 1/8+ 2/8 which equals 3/8
a) Simplify
X - 2 / 7(x - 2)2
Answer:
3x/7 + 8/7
Step-by-step explanation:
Pls pls help with this math
Answer:
7, -1
Step-by-step explanation:
x^2 - 6x + 7 = 0
(x - 7)(x + 1) = 0
==> x = 7, x = -1
Answer:
The answer would be 7,-1
In the triangle below, which equation can be used to solve for x?
Answer:
triangle VUW
angle V=75 degrees
angle U= 50 degrees
side VU= 13 ft
Step-by-step explanation:
Senor Ogar is planting a garden in the corner of his yard before he does any planting however he wants to make a scale drawing showing where each vegetable and fruit go so far he has drawn the perimeter of his garden the actual length of the vertical and horizontal legs of his triangular Garden is 3M after making his drawing he decides that his Gail is way too small instead he wants the vertical and horizontal legs of the triangle on his drawing to be 18 cm make a new scale drawing with new dimensions of the scale drawing make sure to label all three sides of the garden and include the new scale
Lillian wants to give 1/3 of a pizza to each of six girls at her party. Dragon drop the correct equation an answer to find how many pizzas Lillian needs
Answer:
2 pizza
Step-by-step explanation:
Given
[tex]Pizza = \frac{1}{3}[/tex]
[tex]Girls = 6[/tex]
Required
Amount of Pizza needed
To do this, we simply multiply the fraction of pizza by the number of girls i.e.
[tex]Amount = Pizza * Girls[/tex]
[tex]Amount = \frac{1}{3} * 6[/tex]
[tex]Amount = 2[/tex]
Hence, Lilian needs 2 pizza
To go on a summer trip, Felipe borrows $200. He makes no payments until the end of 3 years, when he pays off the entire loan. The lender charges sim
Interest at an annual rate of 2%.
Answer:
Step-by-step explanation:
A=P(1+rt)
A=200(1+.02(3))
A=200(1.06)
A=$212
A quadrilateral ABCD has the given angle measures. Select all measurements which
could come from a cyclic quadrilateral.
A:
angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°
B:
angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°
C:
angle A is 70°, angle B is 110°, angle C is 70°, and angle D is 110°
D:
angle A is 60°, angle B is 50°, angleC is 120°, and angle D is 130°
E:
angle A is 50°, angle B is 40°, angle C is 120°, and angle D is 150°
Answer:
A: angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°
B: angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°
D: angle A is 60°, angle B is 50°, angle C is 120°, and angle D is 130°
Step-by-step explanation:
The sum of opposite angles of a cyclic quadrilateral is 180°
It must satisfy the following:
A+C=180° and B+D=180°
Only choice A and B and D satisfy.
The correct options are options A, B, and D.
What is a cyclic quadrilateral?A quadrilateral having all its corners on a circle plus opposite angles' sum is 180° called a cyclic quadrilateral.
A) ∠A =90°
∠B=90°
∠C =90°
∠D =90°
∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
B) ∠A =80°
∠B=80°
∠C =100°
∠D =10 0°
∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
Similarly, options C, D, and E also can be checked whether they can come from a cyclic quadrilateral or not.
C) Cannot come from a cyclic quadrilateral since ∠A + ∠C =140°≠180°.
D) ∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
E)Cannot come from a cyclic quadrilateral since∠A + ∠C = 170°≠180°.
Therefore, The correct options are options A, B, and D.
To get more about the cyclic quadrilateral visit:
https://brainly.com/question/24142962
PLZZ answer lots of points
Answer:
7
Step-by-step explanation:
Answer:
it is 7 hope helped
Step-by-step explanation:
Simplify completely*****
Answer:
[tex]\displaystyle \frac{2(x + 4)}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{4x + 16}{6}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{4(x + 4)}{6}[/tex][Fraction] Reduce: [tex]\displaystyle \frac{2(x + 4)}{3}[/tex]
A hardware store sells 45 boxes of nails for $67.50. Assuming that each box is the same price, what is the price per box?
Answer:
$1.50
Step-by-step explanation:
You take 67.50/45= 1.50
Hope this helps! <3
2 and 1/8 + 1 and 3/4
Brooke scored 21 points during the season she scored 9 points more than emily write an equation that can be used to find the amount of points emily scored
I NEED HELP ASAP I WILL MARK YOU BRAINLIEST
What is the definition of Linear Angle?
A pair of angles that lie on the same plane, have a common vertex, and share a common side
or
A pair of angles that have a common side and same vertex, and the sides points in opposite directions.
or
A pair of angles that are opposite of each other and formed by two intersecting lines.
Answer:
The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°. Such angles are also known as supplementary angles. The adjacent angles are the angles which have a common vertex.
plz help with 24-28!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
A recipe needs 2 tablespoons of vegetable oil for every 3/4 cup of flour. If you plan to use 3 cups of flour,
how much vegetable oil will you need?
Answer:
24
Step-by-step explanation:
-%6$6%7$%$7%867-$7
Answer:
8
Step-by-step explanation:
Ratio: 2:3/4
Equation: 3/4x=3
x=4
4*2=8
6(9+12) procedimiento con propiedad distributiva
Answer:
126
Step-by-step explanation:
The cost of attending your college has once again gone up. Although you have been told that education is investment in human capital, which carries a return of roughly 10% a year, you (and your parents) are not pleased. One of the administrators at your university/college does not make the situation better by telling you that you pay more because the reputation of your institution is better than that of others. To investigate this hypothesis, you collect data randomly for 100 national universities and liberal arts colleges from the 2000-2001 S. News and World Report annual rankings. Next you perform the following regression.
cost 7,311.173,985.20 . Reputation - 0.20 Size +8,406.79. Dpriv
(0.13 2,058.63 (664.58) - 416.38 Dibart - 2,376.51 Dreli ion (2,154.35) (1,121.92) 1,007.56) R' = 0.72 SER 3, 773.35
where Cost is Tuition, Fees, Room and Board in dollars, Reputation is the index used in U.S. News and World Report (based on a survey of university presidents and chief academic officers), which ranges from 1 ("marginal) to 5 ("distinguished"), Size is the number of undergraduate students, and Dpriv, Dlibart, and Dreligion are binary variables indicating whether the institution is private, a liberal arts college, and has a religious affiliation. The numbers in parentheses are heteroskedasticity-robust standard errors
(a) Interpret the results and determine whether or not the coefficients are significantly dif- ferent fromzero. Do the coefficients have the expected sign?
(b) What is the forecasted cost for a liberal arts college, which has no religious affiliation, a size of 1,500 students and a reputation level of 4.5? (All liberal arts colleges are private.)
(c) Suppose that you switch from a private university to a public university, which has a ranking tha's 0.5 lower and 10,000 more students. What is the effect on your cost?
(d) What is the p-value for the null hypothesis that the coefficient on Size is equal to zero? Based on this, should you eliminate the variable from the regression? Why or why not?
(e) You want to test simultaneously the hypotheses ha and bert - 0. Your regression package returns an F-statistic of 1.23. Can you reject the null hypothesis?
(f) Eliminating the Size and Dlibartvariables from your regression, the estimated regression becomes 5,450.35+3,538.84 .
Reputation 1,772.35 (590.49) cost 10,935-70.Dpriv-2, 783.31-Dreligion 575.51) (1,150.57) R20.72 SER- 3,792.68 Why do you think that the effect of attending a private institution has increased now?
Answer:
a) Interpret the results and determine whether or not the coefficients are significantly dif- ferent fromzero. Do the coefficients have the expected sign?
An increase in reputation by one category, increases the cost by
roughly $3,985. The larger the size of the college/university, the
lower the cost. An increase of 10,000 students results in a $2,000
lower cost. Private schools charge roughly $8,406 more than public
schools. A school with a religious affiliation is approximately $2,376
cheaper, presumably due to subsidies, and a liberal arts college also
charges roughly $416 less. There are no observations close to the
origin, so there is no direct interpretation of the intercept. Other than
perhaps the coefficient on liberal arts colleges, all coefficients have
the expected sign.
(b) What is the forecasted cost for a liberal arts college, which has no religious affiliation, a size of 1,500 students and a reputation level of 4.5? (All liberal arts colleges are private.)
7,311.17 + 3,985.20×4.5 – 0.20×1500
+ 8,406.79×1 – 416.38×1 – 2,376.51×0=$ 32,935
(c) Suppose that you switch from a private university to a public university, which has a ranking tha's 0.5 lower and 10,000 more students. What is the effect on your cost?
Roughly $ 12,400. Since over the four years of education, this
implies approximately $50,000, it is a substantial amount of money
for the average household.
(d) What is the p-value for the null hypothesis that the coefficient on Size is equal to zero? Based on this, should you eliminate the variable from the regression? Why or why not?
Using a one-sided alternative hypothesis, the p-value is 6.2 percent. Variables should not be eliminated simply on grounds of a statistical test. The sign of the coefficient is as expected, and its magnitude makes it important. It is best to leave the variable in the regression and let the reader decide whether or not this is convincing evidence that the size of the university matters
(e) You want to test simultaneously the hypotheses ha and bert - 0. Your regression package returns an F-statistic of 1.23. Can you reject the null hypothesis?
The critical value for F2,∞ is 3.00 (5% level) and 4.61 (1% level). Hence you cannot reject the null hypothesis in this case
(f) Eliminating the Size and Dlibartvariables from your regression, the estimated regression becomes 5,450.35+3,538.84 .
Reputation 1,772.35 (590.49) cost 10,935-70.Dpriv-2, 783.31-Dreligion 575.51) (1,150.57) R20.72 SER- 3,792.68 Why do you think that the effect of attending a private institution has increased now?
Step-by-step explanation:
a.An increase in reputation by one category, increases the cost by
roughly $3,985. The larger the size of the college/university, the
lower the cost. An increase of 10,000 students results in a $2,000
lower cost. Private schools charge roughly $8,406 more than public
schools. A school with a religious affiliation is approximately $2,376
cheaper, presumably due to subsidies, and a liberal arts college also
charges roughly $416 less. There are no observations close to the
origin, so there is no direct interpretation of the intercept. Other than
perhaps the coefficient on liberal arts colleges, all coefficients have
the expected sign.
b.7,311.17 + 3,985.20×4.5 – 0.20×1500
+ 8,406.79×1 – 416.38×1 – 2,376.51×0=$ 32,935
c.Roughly $ 12,400. Since over the four years of education, this
implies approximately $50,000, it is a substantial amount of money
for the average household.
d.Using a one-sided alternative hypothesis, the p-value is 6.2 percent. Variables should not be eliminated simply on grounds of a statistical test. The sign of the coefficient is as expected, and its magnitude makes it important. It is best to leave the variable in the regression and let the reader decide whether or not this is convincing evidence that the size of the university matters
e.The critical value for F2,∞ is 3.00 (5% level) and 4.61 (1% level). Hence you cannot reject the null hypothesis in this case
The domain of f(x)=cosx
must be restricted to all real numbers in order for the function to have an inverse function. The domain of g(x)=arccos(x)
is −1≤x≤1
and its range is 0≤x≤π
.
is this correct ?
Answer:
Not completely sure for the rest, but I believe the range is incorrect: the range represents y-values, not x-values.
So it should be 0 ≤ y ≤ π
x³-5x²+2x-10 devided by x²+2
Answer:
x-5
Step-by-step explanation: