Which is the best estimate for the sum 2/9 +10/11 ?

Cheyenne's bi-weekly gross pay is $529.81. She sees that $18.54 was deducted for Medicare tax. What percent of Cheyenne's gross

Dafna1 [17]

18.54/529.81= 0.0349
0.0349*100=3.49%= 3.5%

6 0

3 years ago

jessy took out a loan of $16,500 over 5 years at 4.2% interest to purchase a new car. how much will she pay in interest on the l

lbvjy [14]

Answer:

B

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.2%/100 = 0.042 per year,

then, solving our equation

I = 16500 × 0.042 × 5 = 3465

I = $ 3,465.00

The simple interest accumulated

on a principal of $ 16,500.00

at a rate of 4.2% per year

for 5 years is $ 3,465.00.

6 0

3 years ago

Given the vertex of a quadratic function, find the axis of symmetry.

motikmotik

(i) The equation of the axis of symmetry is x = - 5.

(ii) The coordinates of the vertex of the parabola are (h, k) = (4, - 18). The x-value of the vertex is 4.

(iii) According to the vertex form of the quadratic equation, the parabola opens down due to negative lead coefficient and has a vertex at (2, 4), which is a maximum.

<h3>How to analyze and interpret quadratic functions</h3>

In this question we must find and infer characteristics from three cases of quadratic equations. (i) In this case we must find a formula of a axis of symmetry based on information about the vertex of the parabola. Such axis passes through the vertex. Hence, the equation of the axis of symmetry is x = - 5.

(ii) We need to transform the quadratic equation into its vertex form to determine the coordinates of the vertex by algebraic handling:

y = x² - 8 · x - 2

y + 18 = x² - 8 · x + 16

y + 18 = (x - 4)²

In a nutshell, the coordinates of the vertex of the parabola are (h, k) = (4, - 18). The x-value of the vertex is 4.

(iii) Now here we must apply a procedure similar to what was in used in part (ii):

y = - 2 · (x² - 4 · x + 2)

y - 4 = - 2 · (x² - 4 · x + 2) - 4

y - 4 = - 2 · (x² - 4 · x + 4)

y - 4 = - 2 · (x - 2)²

According to the vertex form of the quadratic equation, the parabola opens down due to negative lead coefficient and has a vertex at (2, 4), which is a maximum.

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

5 0

1 year ago

SOMEONE PLZ HELP IM SO LOST ILL GIVE U BRAINLIEST

hammer [34]

Answer:

What is a Proof?

A series of steps, with justifications, that verifies a theorem or relationship exists

Types of Proofs

Two-column Proofs a table with two columns; the first column is the mathematical statement, and the second column is the justification

Paragraph Proofs a type of proof that explains the rationale for each step using complete sentences in paragraph form

Flow Chart Proofs a diagram that contains the steps of the proof and the justification for each one

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6 0

3 years ago

Researchers want to determine whether or not there is a difference in systolic blood pressure based on how many hours a person e

VARVARA [1.3K]

Answer:

(1) The between groups degrees of freedom is 2.

(2) TRUE.

(3) The correct option is (a).

Step-by-step explanation:

(1)

The between groups degrees of freedom for the study is:

$\text{df}_{B}=k-1\\=3-1\\=2$

Thus, the between groups degrees of freedom is 2.

(2)

The hypothesis for he one-way ANOVA is:

H₀: All the means are equal.

Hₐ: At least one of the mean is not equal.

The output of the ANOVA test is attached below.

The p-value of the test is 0.00005.

p-value = 0.00005 < α = 0.05

Thus, the result is statistically significant.

The statement is TRUE.

(3)

As the p-value of the test is less than the significance level, the researcher should make the decision to reject the null hypothesis.

The correct option is (a).

6 0

3 years ago