The amount Jim owes in interest if he pays it back in 4 years is $160
Calculating Simple interestFrom the question, we are to calculate how much Jim owes in interest
Using the simple interest formula,
I = PRT
Where I is the interest
P is the principal
R is the rate
and T is the time
From the given information,
P = $500
R = 8% = 8/100 = 0.08
T = 4 years
Putting the parameters into the formula, we get
I = 500 × 0.08 × 4
I = $160
Hence, the amount Jim owes in interest if he pays it back in 4 years is $160
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A 3 foot wide painting should be centered on 13 foot wide wall how many feet should be on each side of the painting
Answer:
5 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 3 foot wide painting should be centered on 13 foot wide wall, to determine how many feet should be on each side of the painting, the following calculations must be performed:
(13 - 3) / 2 = X
10/2 = X
5 = X
Therefore, 5 feet of wall should be on each side of the painting.
Access the hourly wage data on the below Excel Data File (Hourly Wage). An economist wants to test if the average hourly wage is less than $29.
Hourly EDUC EXPER AGE Gender
Wage
37.85 11 2 40 1
21.72 4 1 39 0
34.34 4 2 38 0
21.26 5 9 53 1
24.65 6 15 59 1
25.65 6 12 36 1
25.45 9 5 45 0
20.39 4 12 37 0
29.13 5 14 37 1
27.33 11 3 43 1
28.02 8 5 32 0
20.39 9 18 40 1
24.18 7 1 49 1
17.29 4 10 43 0
15.61 1 9 31 0
35.07 9 22 45 0
40.33 11 3 31 1
20.39 4 14 55 0
16.61 6 5 30 1
16.33 9 3 28 0
23.15 6 15 60 1
20.39 4 13 32 0
24.88 4 9 58 1
23.88 5 4 28 0
37.65 6 5 40 1
15.45 6 2 37 0
26.35 4 18 52 1
19.15 6 4 44 0
16.61 6 4 57 0
18.39 9 3 30 1
25.45 5 8 43 0
28.02 7 6 31 1
23.44 4 3 33 0
17.66 6 23 51 1
26.33 4 15 37 0
34.34 4 9 45 0
35.45 6 3 55 0
37.43 5 14 57 0
35.89 9 16 36 1
20.39 4 20 60 1
31.81 4 5 35 0
35.45 9 10 34 0
37.66 5 4 28 1
23.87 6 1 25 0
36.35 7 10 43 1
25.45 9 2 42 1
23.67 4 17 47 0
26.02 11 2 46 1
23.15 4 15 52 0
24.18 8 11 64 0
a) Choose the null and the alternative hypotheses for the test.
A. H0:μ≥29;HA:μ<29
B. H0:μ=29;HA:μ≠29
C. H0:μ≤29;HA:μ>29
b) Use the Excel function Z. TEST to calculate the p-value. Assume that the population standard deviation is $6.
c) At α = 0.01 what is the conclusion?
A. Do not reject H0; the hourly wage is not less than $29.
B. Do not reject H0; the hourly wage is less than $29.
C. Reject H0; the hourly wage is not less than $29.
D. Reject H0; the hourly wage is less than $29.
Answer:
A. H0:μ≥29;HA:μ<29
Pvalue < 0.01
D. Reject H0; the hourly wage is less than $29
Step-by-step explanation:
The null hypothesis will negate the claim which will be the hypothesis to be tested. Therefore, since the claim is to test if hourly wage is less Than 29 ; then the null will be that hourly wage is equal to or greater than 29
H0:μ≥29;HA:μ<29
The Pvalue measure the probability that the extremity of our finding against a certain α level. The Pvalue obtained using the Excel function should be 0.00058
When Pvalue is < α ; We reject the null hypothesis
Hence, Reject H0; the hourly wage is less than $29 and conclude that hourly wage is less Than $29
∛≅≅≅≅≅≅≅≅≅≅≅≅≅≅≅≅≅≅[tex]\geq \neq \neq \neq \neq \neq[/tex]
Sorry, I won't understand
Help me fellow idiots (jk)
Answer:
[tex] \frac{4}{5} [/tex]
Find the indicated limit, if it exists.
See file below.
Answer:
c
Step-by-step explanation:
The limit exists because it's continuous since they equal each other
when x approaches zero.
Substitute both expressions with x=0 and both of them will equal 2, so the limit should be 2.
Triangles JKL and PQR are congruent, where I corresponds to P, and K corresponds to Q.
The measure of angle J is 20°, the measure of angle K is 15°, and the measure of angle L is 145º.
What is the measure of angle P?
15°
20°
35°
145°
PLEASE HELPPPP
Answer:
20°
Step-by-step explanation:
Congruent Triangles:
If two triangles are congruent, their angles have the same measure.
Angle P corresponds to Angle J
Angle J measures 20º, so angle P will also measure 20º
A 90% confidence interval for a proportion is found to be (0.37, 0.43). What is
the sample proportion?
A. 0.43
B. 0.39
C. 0.40
D. 0.41
Answer:
.4
Step-by-step explanation:
Sample proportion of 90% confidence interval for a proportion (0.37, 0.43) is 0.40 .
Thus option C is correct.
Given, A 90% confidence interval for a proportion is found to be (0.37, 0.43) .
Sample proportion - margin of error = 0.37
Sample proportion + margin of error = 0.43
Therefore, the sample proportion will.be the average of the values given above and this will be:
= (0.37 + 0.43)/2
= 0.80/2
= 0.40
Therefore option C is correct.
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Raincoats regularly priced at $24 were on sale for 33% off.
a. What is 33% of $24?
b. What is 33 % less than $24?
If f (x ) = -4x – 11, what is f (5)?
Answer:
-31
Step-by-step explanation:
We are given with a function f(x) = - 4x - 11 , and we need to find f(5) . For which , we just have to put x = 5 in f(x) . So , by putting x = 5 , we have
[tex]{:\implies \quad \sf f(5)=-(4\times 5)-11}[/tex]
[tex]{:\implies \quad \sf f(5)=-20-11}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{f(5)=-31}}}[/tex]
Solve for x
3x +2 = 2x +7
Answer:
x ≈ − 1.25593754, 1.70270637
Step-by-step explanation:
Graph each side of the equation. The solution is the x-value of the point of intersection.
What is the following simplified product? Assume x>0.
218x3 3.V10x4 – x15x?
0 244² √5% - 44² √10x
24x35x - 4x3 10X
24x3 75-4x310x
O 24x35x +4x® /10x
Answer:
[tex]24x ^{3} \sqrt{5 - 4x ^{3} } \sqrt{10x} [/tex]
Alex has 512 cubes, with dimensions in feet (ft), like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes.
A) First, find the volume of each cube:
V = s³
= (1/2)³
= 1/8 ft³
We have a total of 64 cubes, therefore the maximum volume will be:
Vmax = 64 · (1/8) = 8 ft³
B) The volume of a rectangular prism is given by:
V = w × l × h
Therefore any combination of w × l × h = Vmax = 8 will be fine.
Examples:
2 × 2 × 2
4 × 2 × 1
What is the volume of a rectangular prism with the dimensions
Para calcular el volumen de un prisma rectangular, multiplica sus 3 dimensiones: longitud x ancho x altura.
Find an expression which represents the sum of (8x+10y)
Answer:
Not sure of what your asking....
Step-by-step explanation:
equivalent to: 2(4x+5y)
Answer:
2(4x+5y)
Step-by-step explanation:
the sum of 8x+10y is 8x+10y
i guess you could make it even more complicated if you want
ln(8x)=ln(1/(10y))
ln(8x/(1/(10y)))
or you can just keep it simple
8x+10y = 2(4x+5y)
A small university is concerned with monitoring its electricity usage in its Student Center. Specifically, its officials want to know if the amount of electricity used differs by day of the week. They collected data for nearly a year, and the relevant summary statistics are provided. Note that electricity usage is measured in kilowatt hours. Day of Week n x bar s Sunday 45 86.48 34.89 Monday 45 109.29 27.37 Tuesday 45 110.96 28.64 Wednesday 44 115.03 31.68 Thursday 44 114.97 33.26 Friday 45 108.58 32.22 Saturday 45 87.07 38.56 Overall 313 104.56 34.25 Computer output from the analysis is provided: One-way ANOVA: Electricity versus Day of Week Source DF SS MS F P Day of Week 6 41646 6941 6.55 0.000 Error 306 324428 1060 Total 312 366073 What is the decision on the hypothesis test and why
Answer:
Since p-value > ∝, H0 is accepted
Step-by-step explanation:
Calculating gives the following results.
ANOVA Table
Source DF Sum Mean F Statistic P-value
of Square Square
Groups 6 191.61 31.935 0.020 0.999
(b/w groups)
Error
(within 14 21736.08 1552.577
groups)
Total 20 21927.69 1096.385
1. H0 hypothesis
Since p-value > ∝, H0 is accepted.
Hence the averages of all groups considered to be equal.
Or the difference between the averages of all groups is not big enough to reject H0.
2. P-value
P-value equals 0.999. This means that if we would reject H0, the chance of type1 error (rejecting a correct H0) would be too high i.e (99.99%)
The bigger p-value supports H0.
3. The statistics
The test statistic F equals 0.020, which lies in the accepted range: [-∞ : 2.8477]
What number must be added to -9 to equal +4?
Answer:
[tex]13[/tex]
Step-by-step explanation:
let the unknown number be x
[tex]x + ( - 9) = 4 \\ x - 9 = 4 \\ x = 4 + 9 \\ x = 13[/tex]
hope this helps you.
Can I have the brainliest please?
Have a nice day!
to find the sum of all the odd integers from to 49 inclurive
Answer:
625 is the sum of first 49 odd numbers.
Step-by-step explanation:
Add the all odd numbers between 1 - 49.
1+3+5+7+9+11+ 13+ 15+17+ 19+21+23+25+ 27+29+31+33+35+37+39+41+43+45+ 47+ 49 = 625
Hope it is helpful....The median number of parks cleaned by 101010 service workers in a certain year is 444. The range of the number of parks cleaned by those service workers that year is 777.
Determine if the following statement is true, is false, or does not contain enough information.
If the greatest number of parks cleaned is 101010, then the fewest parks cleaned is 333.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
True
(Choice B)
B
False
(Choice C)
C
Not enough informationvv
Answer:
The answer is A
Step-by-step explanation:
I got it wrong and it showed that it’s A
One-third of 1/2 cake =_____ cake.
Answer:
1/6
Step-by-step explanation:
1/3 x 1/2 = 1/6
Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping.
• 2/3 of the caramel apples are covered with peanuts.
• 1/5 are covered with chocolate chips.
• 1/10 are covered with coconuts.
How many caramel apples are covered with sprinkles?
5
Step-by-step explanation:
add the fractions. you have to find the common denominator, 100/150+30/150+15/150= 145 so 5
1/30 of 150=5
The caramel apples that are covered with sprinkles are 5.
What is arithmetic operation?Arithmetic operation is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots.
Now it is given that,
Olivia has 150 caramel apples.
Each caramel apple is covered with one topping.
• 2/3 of the caramel apples are covered with peanuts.
• 1/5 are covered with chocolate chips.
• 1/10 are covered with coconuts.
The rest are covered with sprinkles.
Let 'n' be the number of caramel apples are covered with sprinkles.
Thus,we can write
(2/3)*150 + (1/5)*150 + (1/10)*150 + n = 150
100 + 30 + 15 + n = 150
145 + n = 150
⇒ n = 150 - 145
⇒ n = 5
Thus, the caramel apples that are covered with sprinkles are 5.
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The complete question is,
Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping.
• 2/3 of the caramel apples are covered with peanuts.
• 1/5 are covered with chocolate chips.
• 1/10 are covered with coconuts.
The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
SOLVE
HOW MUCH
COMISSION
WILL AN AGGENT
MAKE ON THE SALE OF A $111,500 HOUSE IF SHE RECEIVES 1.5% OF THE SELLING PRICE
WILL
GIVE
BRIANLIST
Answer:
$1672.5
Step-by-step explanation:
Help pls no links I'll give you briliantest
Answer:
Surface area of cube = 6a²
Side of cube = 5/2
Surface area of cube = 6 (5/2)² = 6 (25/4)
= 37.5 unit²
What is
[tex] 30\sqrt{14} \: over \: 6\sqrt{2} [/tex]
Please help
Answer:
Step-by-step explanation:
30
Solve
FIND THE SIMPLE INTEREST WHEN PRINCIPAL= $300, rate = 8%
Time= 4 years
WILL GIVE BRAINLIST
X
X
X
X
X
X
X
X
X
X
X
Answer:
I = p× r× t
300×8×4
pinicipal × rate × time
That is the formula
the answer is 300×8×4= 9600
What is the identity of (sec^2theta-1)/sintheta = sintheta/(1-sin^2theta)
Please get this done and match the sides. Thank you!
Answer:
See Below.
Step-by-step explanation:
We want to prove the trigonometric identity:
[tex]\displaystyle \frac{\sec^2(\theta)-1}{\sin(\theta)}=\frac{\sin(\theta)}{1-\sin^2(\theta)}[/tex]
To start, let's simplify the right side. Recall the Pythagorean Identity:
[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]
Therefore:
[tex]\cos^2(\theta)=1-\sin^2(\theta)[/tex]
Substitute:
[tex]\displaystyle \frac{\sin(\theta)}{1-\sin^2(\theta)}=\frac{\sin(\theta)}{\cos^2(\theta)}[/tex]
Split:
[tex]\displaystyle =\frac{\sin(\theta)}{\cos(\theta)}\left(\frac{1}{\cos(\theta)}\right)=\tan(\theta)\sec(\theta)[/tex]
Therefore, our equation becomes:
[tex]\displaystyle \frac{\sec^2(\theta)-1}{\sin(\theta)}=\tan(\theta)\sec(\theta)[/tex]
From the Pythagorean Identity, we can divide both sides by cos²(θ). This yields:
[tex]\displaystyle \tan^2(\theta)+1=\sec^2(\theta)[/tex]
So:
[tex]\tan^2(\theta)=\sec^2(\theta)-1[/tex]
Substitute:
[tex]\displaystyle \frac{\tan^2(\theta)}{\sin(\theta)}=\tan(\theta)\sec(\theta)[/tex]
Rewrite:
[tex]\displaystyle (\tan(\theta))^2\left(\frac{1}{\sin(\theta)}\right)=\tan(\theta)\sec(\theta)[/tex]
Recall that tan(θ) = sin(θ)/cos(θ). So:
[tex]\displaystyle \frac{\sin^2(\theta)}{\cos^2(\theta)}\left(\frac{1}{\sin(\theta)}\right)=\tan(\theta)\sec(\theta)[/tex]
Simplify:
[tex]\displaystyle \frac{\sin(\theta)}{\cos^2(\theta)}=\tan(\theta)\sec(\theta)[/tex]
Simplify:
[tex]\tan(\theta)\sec(\theta)=\tan(\theta)\sec(\theta)}[/tex]
Hence proven.
1738.279 into 2 decimal places
Answer:
1738.28
Step-by-step explanation:
Given that
The number is 1738.279
We need to round off to 2 decimal places
Now as we know that
If the rounded number would be followed by 0, 1, 2, 3 or 4, so the number would be down
Let us suppose the number is 32 so it would be 30
If the rounded number would be followed by 5,6,7,8 or 9 so the number would be up
Let us suppose the number be 37 so it would be 40
Now as per the given case, the number is 1738.279
So after rounding to 2 decimal places, the number is 1738.28
A tent that sells for 250 is on sails for 20% discount what's the sale price of the tent
Step-by-step explanation:
Original price- $250
Discount 20% x 20
-----------
5000
Equals amount taken off $5000
Subtract original price -250
---------------
Sale Price 4750
Hope this helps! If this is not the answer please tell me!
Some students reported how many pets they had. The dot plot shows the data collected: A dot plot is titled Students Pets and labeled Number of Pets. The values on the horizontal line are 0, 1, 2, 3, and 4. There are 5 dots above 0, 4 dots above 1, 3 dots above 2, 2 dot above 3, and 1 dot above 4. What do the dots above the number 3 indicate? There are exactly 2 students with 3 pets. There are exactly 3 students with 2 pets. There are exactly 2 students with more than 3 pets. There are exactly 3 students with more than 2 pets.
Answer:
A dot plot is similar to histogram wherein they show the frequency of data. In this kind of plot, instead of bars, dots are stacked on their corresponding bin. The bins here are the number of pets, while the dots are the students. So, the 2 dots above number 3 signifies that, there are two students with three pets. The answer is A.
Step-by-step explanation:
Help me please whats 93 divided by 29 to the power of 3 and multiplied by 283
Answer:
1.07913403584
Step-by-step explanation:
hope it helps you!!
branliest plssssss
Answer:
641,894,091
Step-by-step explanation:
To find the AREA of any shape, you must calculate the sum all the sides of that shape
True or false
Answer:
False
Step-by-step explanation:
The definition described is Perimeter
Area is found by multiplying the base by the height or the length by the width