Answer: $2,720
Step-by-step explanation:
Assuming the payment will be done in 2021 on August 31, that means that the loan period is a year.
In this case, the interest should be apportioned per month. There are four months in 2020 that the loan was active for so these months should have an adjustment for interest:
Total interest = 12% * 68,000
= $8,160
Monthly rate is:
= 8,160 / 12 months
= $680
There are 4 months in 2020 so the interest for 2020 is:
= 680 * 4
= $2,720
help me!!!!!!!!!plzzz
Answer:
B. 1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
add all the values 10+14+6=30 since red is 10 divide 10 by 30 so 10/30 simplifying to 1/3.
A math teacher has a number cube with faces numbered 1 through 6. He will roll the number cube 400 times. Which of the following ranges contains the best prediction for the number of times the number cube will land with a 1 or a 4 on the top face?
A. 30-35
B. 65-70
C. 130-135
D. 265-270
Answer:
Step-by-step explanation:
B?
A vehicle owner interested in her vehicle’s fuel economy calculated the gas mileage in miles per gallon (mpg) each time she filled her tank, for several years. Here are the mpg values for a random sample of 20 of these records. Suppose that the standard deviation is known to be σ = 3.5 mpg.
Required:
Find the 95% confidence interval for the mean of gas mileage for this vehicle.
Answer:
The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{3.5}{\sqrt{20}} = 1.53[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is S - 1.53.
The upper end of the interval is the sample mean added to M. So it is S + 1.53.
The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.
A triangle has angles with measures of (3x) (2x - 13)", and (5x+3).
What is the measure of the smallest angle in the triangle?
O A. 17°
O B. 190
O c. 25°
OD. 57°
Answer:
c. 25°
Step-by-step explanation:
Sum of angles in a triangle:
The sum of the measures of the angles of a triangle is 180º.
In this question:
Angles of 3x, 2x-13 and 5x + 3.
The sum is 180º. So
[tex]3x + 2x - 13 + 5x + 3 = 180[/tex]
[tex]10x - 10 = 180[/tex]
[tex]10x = 190[/tex]
[tex]x = \frac{190}{10}[/tex]
[tex]x = 19[/tex]
Measure of each angle:
3x = 3(19) = 57º
2x - 13 = 2(19) - 13 = 38 - 13 = 25º
5x + 13 = 5(19) + 3 = 95 + 3 = 98º
The smallest angle is 25º, and the correct answer is given by option c.
PQRS. is a rectangle . find angle OPS if angle QOR is given
Please give full explanation i will mark you as brain list plzz kuch bakwaas mat likhana warna report kar dungi
Answer:
[tex]\angle OPS = 142^\circ[/tex]
Step-by-step explanation:
Given
The attached rectangle
[tex]\angle QOR = 142^\circ[/tex]
Required
Determine [tex]\angle OPS[/tex]
[tex]\angle OPS = \angle QOR[/tex] --- vertically opposite angles
Hence:
[tex]\angle OPS = 142^\circ[/tex]
5 + {[2 X (14 - 9)] - 1}
Answer:
14
Step-by-step explanation:
[tex] 5 + (2 \times (14 - 9) - 1) \\ = 5 + (2 \times 5) - 1 \\ = 5 + (10 - 1) \\ = 5 + 9 \\ = 14[/tex]
Consider the arithmetic sequence:
3,5,7,9,..,
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:
a(n)=3+2n for n≥0
b(n)=3n for n≥1
c(n)=-1+2n for n≥2
d(n)=-6+3n for n≥3
[tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex] functions generate the arithmetic sequence.
What is arithmetic sequence?It is a "sequence where the differences between every two successive terms are the same" (or) In an arithmetic sequence, "every term is obtained by adding a fixed number (positive or negative or zero) to its previous term".
The first term of an arithmetic sequence is a, its common difference is d, n is the number of terms.
Arithmetic sequence formula is given as, [tex]a_{n} =a+(n-1)d[/tex].
Given arithmetic sequence
[tex]3, 5, 7, 9,.....[/tex]
n is an integer
[tex]a = 3[/tex]
By considering the above arithmetic sequence, we can say that each term in the sequence is in the form of 3 + 2n, where , n ≥ 0.
So, the correct option is A
[tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex]
Thus, [tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex] functions generate the arithmetic sequence.
Find out more information about arithmetic sequence here
https://brainly.com/question/15412619
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Please answer it. I will give brainliest if its correct..
First find the circumference of the circle:
Circumference = 2 x radius x pi
Circumference = 2 x 4 x 3.14 = 25.12 cm
Now arc ML is 100 degrees.
Multiply the circumference by the arc degree/360 ( 360 is a full circle)
25.12 x 100/360 = 6.98 cm
The answer is 6.98 cm
if x varies inversely as y and x=2.5 when y = 40 , find y when x = 2
Answer:
2.5/40=2/y
2.5y=40x2
2.5y=80
y=80/2.5
y=32
3 Select the correct answer. Which measure of center is the most appropriate for this data set? 20, 6, 42, 13, 15, 10, 9, 12, 12
A mean
B median
C mode
D mean absolutely median
Answer:
B median
Step-by-step explanation:
The median is the center of any data set
How many solutions does the equation 2x -1 = x + x -1 have ?
Answer:
Infinite solutions
Step-by-step explanation:
2x -1 = x + x -1
2x=x+x
2x=2x
lol help
How many tennis balls would fit inside of the classroom if the room is 30 ft. by
40 ft with 9 ft ceilings?
Answer:
what question is thiswho would count the balls as many which can fit in it
Answer:
Hypothesis: Whitney thought that 5,000 tennis balls would fit into the room, whereas I ... We then figured out that the ceiling juts, the windows, and the corner windows are ... We had to find the height of the room, too, which was about 9 feet.
A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit
in your answer.
4m
0
DO
BO
וח
m
m
2 m
х
4 m
3 ?
1
1
5m
Answer:
Step-by-step explanation:
the sum of 2 numbers is 65 and the difference is 7
Answer:
Hello There!!
Step-by-step explanation:
The answer is=>The sum is x + y = 65
The difference is x - y = 7 .....x = 7 + y
7 + y + y = 65
7 + 2y = 65
2y = 58
y = 29
x + y = 65
x + 29 = 65
X = 36
The Sum: 36 + 29 = 65
The Difference: 36 - 29 = 7
hope this helps,have a great day!!
~Pinky~
Answer:
36 and 29
Step-by-step explanation:
The sum of the two numbers is 65 and their difference is 7. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is 7. In other words, x minus y equals 7 and can be written as equation B:
x - y = 7
Now solve equation B for x to get the revised equation B:
x - y = 7
x = 7 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
7 + y + y = 65
7 + 2y = 65
2y = 58
y = 29
Now we know y is 29. This means that we can substitute y for 29 in equation A and solve for x:
x + y = 65
x + 29 = 65
X = 36
Summary: The sum of two numbers is 65 and their difference is 7. What are the two numbers? Answer: 36 and 29 as proven here:
Sum: 36 + 29 = 65
Difference: 36 - 29 = 7
125 ft to yd what is the answer
Answer:
your answer is 41.6667
Answer:
41 2/3 yards
Step-by-step explanation:
Divide by 3 because 3ft in one yard
125 / 3 = 41 2/3 yards
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
PLEASE HELP WILL MARK BRAINLYIST HELP
y=x+5
please help me with this problem I'm really struggling to answer the question.
Answer:12
Step-by-step explanation:just know i did it and got it right
probability of an even number both times
Answer:
1/4
Step-by-step explanation:
The possible outcomes are :
1,2,3,4,5,6
We can see that there is a 3/6 (or 1/2) chance the outcome is even
Let E= odds of getting an even
we're looking for E∩E
Because each roll is independent of the last we can multiply to find their intersection
.5*.5= .25 or 1/4
Determine the volume if the figures below round to the nearest hundredth
Answer:
48 m³
4,186.67 km³
Step-by-step explanation:
volume of pyramid =
⅓×6×6×4 = 48 m³
volume of ball =
4/3 × 3.14 × 10³ = 4,186.67 km³
If I made $20 in 4 hours, what is the rate at which I made money?
Answer:
it would be five each hour.
Step-by-step explanation:
4(x+2) help please.
Answer:
4x + 8
Step-by-step explanation:
4(x+2)
4*x + 4*2
4x + 8
[tex] \large\sf \leadsto 4(x + 2)[/tex]
[tex] \large\sf \leadsto 4 \times (x + 2)[/tex]
[tex] \huge\sf \leadsto \pmb {4x + 8}[/tex]
Question 11:
A diesel train traveled to Johannesburg and back. The trip there took 6 hours and
the trip back took 9 hours. It averaged 23 miles per hour faster on the trip there
than on the return trip. Find the diesel train's average speed on the outbound (first
part traveling to Johannesburg) trip.
Answer:
69 miles per hour
Step-by-step explanation:
Given
Trip to:
[tex]t_1 = 6[/tex] --- time
[tex]s_1 = 23 + s_2[/tex]
Trip back
[tex]t_2 = 9[/tex]
Required
Determine the average speed to Johannesburg
Average speed is calculated as:
[tex]speed = \frac{distance}{time}[/tex]
Make distance the subject
[tex]distance = speed * time[/tex]
Since distance is constant, then:
[tex]s_1 * t_1 = s_2 * t_2[/tex]
This gives:
[tex](23 + s_2) * 6 = s_2 * 9[/tex]
Open bracket
[tex]138 + 6s_2 = 9s_2[/tex]
Collect like terms
[tex]9s_2 - 6s_2 = 138[/tex]
[tex]3s_2 = 138[/tex]
Solve for s2
[tex]s_2 = 138/3[/tex]
[tex]s_2 = 46[/tex]
Recall that:
[tex]s_1 = 23 + s_2[/tex]
[tex]s_1 = 23 + 46[/tex]
[tex]s_1 = 69[/tex]
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer: 4.2
Step-by-step explanation:
Here's the formula for how to find the hypotenuse: (a and b are the two legs for the triangle-- it doesn't matter which leg is a and which leg is b, but c MUST be the hypotenuse)
[tex]a^2+b^2=c^2[/tex]
[tex]1.9^2+3.8^2=c^2[/tex]
[tex]3.61+14.44=c^2[/tex]
[tex]18.05=c^2[/tex]
[tex]\sqrt{18.05} =c[/tex]
[tex]c=4.2[/tex]
Find the value of x
Answer:
x=-0.5 or x=-1/2
Step-by-step explanation:
Help please! Much appreciated
Answer:
a. Sin B = 15/17
b. Cos B = 8/17
c. Tan B = 15/8
Step-by-step explanation:
Recall: SOHCAHTOA
Reference angle = B
Opp = 15
Adjacent = 8
Hypotenuse = 17
a. Sin B = Opp/Hyp (applying SOH)
Substitute
Sin B = 15/17
b. Cos B = Adj/Hyp
Substitute
Cos B = 8/17
c. Tan B = Opp/Adj
Substitute
Tan B = 15/8
Find the surface area of the hemisphere 6cm
Answer:
452.4 cm^2
Step-by-step explanation:
[tex]a = 4\pi {r}^{2} \\ a = 4 \pi \times (6)^{2} \\ a = 452.4 \: cm^{2} [/tex]
I hope that is useful for you :)
!!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
What is the solution to the equation 7.5 minus X =2.8?
Image above
Answer: A
Step-by-step explanation:
4.7+2.8 = 7.5
And
7.5 -4.7 = 2.8
At which value in the domain does f(x) = 0?
2
2
4
Answer:
4
Step-by-step explanation:
can someone help me please
Answer:
perimeter: 36
area: i dont know sorry
Step-by-step explanation:
I NEED HELP it's due today! Giving out BRAINLIEST & 30 POINTS!
~Rules~
a. SHOW WORK/CHECK ANSWER
b. NO FILES/LINKS
c. NO SILLY ANSWER
~Hocus Pocus
Answer:
see below
Step-by-step explanation: 5 20 21 02
There are 5 areas to calculate
Top = LW = (20)(17)
Bottom = LW = (20)(15)
Back = LW = (20)(8)
2 Triangular Ends = One square = LW = (8)(15)
Total Surface Area = (20)(17) + (20)(15) + (20)(8) + (8)(15)
= (20)(17 + 15 + 8) + (8)(15)
= (20)(40) + (8)(15)
= 800 + 120
= 920 ft²