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2 years ago

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The annual interest rate of jackie’s savings account is 6.4% and simple interest is calculated semiannual, what is the periodic

interest of jackie’s savings account

2 answers:

Sophie [7]2 years ago

3 0

3.2% - Guessed it right on Apex

Effectus [21]2 years ago

3 0

Answer:

3.2%

Step-by-step explanation:

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A delivery truck is stocked with boxes of leather footballs. The graph shows the relationship between the number of footballs an

pashok25 [27]

Answer:

21

Step-by-step explanation:

To find the answer, you'd have to continue tracing the diagonal line until it intersects with the vertical line that corresponds to the number 3.

If you do that, you'll see that in3 boxes, there are 21 footbals.

You can also calculate it mathematically:

If you have 7 balls per box as shown in the graph, you just have to multiply 7 by 3 to know how many balls you'll find in 3 boxes. 7 * 3 = 21.

Hope it helped,

BioTeacher101

6 0

2 years ago

Read 2 more answers

An individual is hosting a cookout for the kick ball team. The individual wants to have two hot dogs for each guest, and 6 extra

hoa [83]

Answer:

Option 2) y = 26

Step-by-step explanation:

We are given the following in the question:

The individual wants to have two hot dogs for each guest, and 6 extra hot logs in case some teammates bring friends.

Thus, the dependent variable is the number of hot dogs.

$\text{y: Number of hot dogs}$

The independent variable is the number of teammates.

$\text{x: Number of teammates}}$

Thus, the linear relation between the dependent and the independent variable is given as:

$y(x) = 2x + 6$

We have to find the value of dependent variable when independent variable is 10

For x = 10

$y(10) = 2(10) + 6 = 26$

Thus, the correct answer is

Option 2) y = 26

3 0

2 years ago

a jogger runs 218 meters eastward then 72 meters westard then 62 meters eastward and finally 184 meters westward. For this motio

iris [78.8K]

Answer:

<u>Total distance = 536 m</u>

<u>Total displacement = 24 m</u>

Step-by-step explanation:

<u>Distance and Displacement</u>

A moving object constantly travels for some distance at defined periods of time. The total moved distance is the sum of each individual distance the object traveled. It can be written as:

dtotal=d1+d2+d3+...+dn

This sum is obtained independently of the direction the object moves.

The displacement only takes into consideration the initial and final points of the path defined by the object in its moving. The displacement, unlike distance, is a vectorial magnitude and can be even zero if the object starts and ends the movement at the same point.

For the question at hand, it's not known if the requirement is about the distance or the displacement, so we will compute both.

To compute the distance, we just add all the distances:

dtotal= 218 m + 72 m + 62 m + 184 m = 536 m

To compute the displacement, we must establish a positive direction as desired. Let's choose the east as the positive direction. Any movement eastward is considered positive and any movement westward is negative. We mentioned the displacement is a vector, but since we only have movement in the x-axis, we can only manage the signs. Thus, the total displacement is:

xtotal = 218 m - 72 m + 62 m -- 184 m = 24 m

Since the result is positive, the jogger stopped 24 meters eastward form the original point.

4 0

2 years ago

Use the data below, showing a summary of highway gas mileage for several observations, to decide if the average highway gas mile

Murrr4er [49]

Answer:

Step-by-step explanation:

Hello!

You need to test at 1% if the average highway gas mileage is the same for three types of vehicles (midsize cars, SUV's and pickup trucks) to compare the average values of the three groups altogether, you have to apply an ANOVA.

n | Mean | Std. Dev.

Midsize | 31 | 25.8 | 2.56

SUV’s | 31 | 22.68 | 3.67

Pickups | 14 | 21.29 | 2.76

Be the study variables :

X₁: highway gas mileage of a midsize car

X₂: highway gas mileage of an SUV

X₃: highway gas mileage of a pickup truck.

Assuming these variables have a normal distribution and are independent.

The hypotheses are:

H₀: μ₁ = μ₂ = μ₃

H₁: At least one of the population means is different.

α: 0.01

The statistic for this test is:

$F= \frac{MS_{Treatment}}{MS_{Error}}$ ~ $F_{k-1;n-k}$

Attached you'll find an ANOVA table with all its components. As you see, to manually calculate the statistic you have to determine the Sum of Squares and the degrees of freedom for the treatments and the errors, next you calculate the means square for both and finally the test statistic.

<u>For the treatments:</u>

The degrees of freedom between treatments are k-1 (k represents the amount of treatments): $Df_{Tr}= k - 1= 3 - 1 = 2$

<u>The sum of squares is: </u>

SSTr: ∑ni(Ÿi - Ÿ..)²

Ÿi= sample mean of sample i ∀ i= 1,2,3

Ÿ..= grand mean, is the mean that results of all the groups together.

So the Sum of squares pf treatments SStr is the sum of the square of difference between the sample mean of each group and the grand mean.

To calculate the grand mean you can sum the means of each group and dive it by the number of groups:

Ÿ..= (Ÿ₁ + Ÿ₂ + Ÿ₃)/ 3 = (25.8+22.68+21.29)/3 = 23.256≅ 23.26

$SS_{Tr}$ = (Ÿ₁ - Ÿ..)² + (Ÿ₂ - Ÿ..)² + (Ÿ₃ - Ÿ..)²= (25.8-23.26)² + (22.68-23.26)² + (21.29-23.26)²= 10.6689

$MS_{Tr}= \frac{SS_{Tr}}{Df_{Tr}}= \frac{10.6689}{2}= 5.33$

<u>For the errors:</u>

The degrees of freedom for the errors are: $Df_{Errors}= N-k= (31+31+14)-3= 76-3= 73$

The Mean square are equal to the estimation of the variance of errors, you can calculate them using the following formula:

$MS_{Errors}= S^2_e= \frac{(n_1-1)S^2_1+(n_2-1)S^2_2+(n_3-1)S^2_3}{n_1+n_2+n_3-k}= \frac{(30*2.56^2)+(30*3.67^2)+(13*2.76^2)}{31+31+14-3} = \frac{695.3118}{73}= 9.52$

<u>Now you can calculate the test statistic</u>

$F_{H_0}= \frac{MS_{Tr}}{MS_{Error}} = \frac{5.33}{9.52}= 0.559= 0.56$

The rejection region for this test is <em>always </em>one-tailed to the right, meaning that you'll reject the null hypothesis to big values of the statistic:

$F_{k-1;N-k;1-\alpha }= F_{2; 73; 0.99}= 4.07$

If $F_{H_0}$ ≥ 4.07, reject the null hypothesis.

If $F_{H_0}$ < 4.07, do not reject the null hypothesis.

Since the calculated value is less than the critical value, the decision is to not reject the null hypothesis.

Then at a 1% significance level you can conclude that the average highway mileage is the same for the three types of vehicles (mid size, SUV and pickup trucks)

I hope this helps!

4 0

2 years ago

Reflect shape A in the line x=-1

natulia [17]

Answer:

Step-by-step explanation:

Hey! I cant draw the shape in the answer box. Sowiee

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2 years ago

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