Answer:
Time period = 5 year (Approx.)
Step-by-step explanation:
Given:
Amount of loan = $17,500
Rate of interest = 3.5% compounded annually
Amount paid as interest = $3,247.5
Find:
Time period
Computation:
Using compounded interest formula
I = P[(1+r)ⁿ - 1]
3,247.50 = 17,500[(1+3.5%)ⁿ - 1]
3,247.50 = 17,500[(1+0.035)ⁿ - 1]
3,247.50 = 17,500[(1.035)ⁿ - 1]
Time period = 4.948
Time period = 5 year (Approx.)
A merry go around has a radius of 18 ft. If a passenger gets on a horse located at the edge of the wheel and travels 38ft, find the angle of rotation to the nearest degree
Answer:
121 degrees
Step-by-step explanation:
Given
Radius r = 18ft
Length of the arc = 38ft
Required
angle of rotation
Using the formula
Length of an arc = theta/360 * 2πr
Substitute the given data
38 = theta/360 * 2π(18)
38 = theta/360 * 113.04
theta/360 = 38/113.04
theta/360 = 0.33616
theta = 0.33616 * 360
theta = 121.02
Hence the angle of rotation to the nearest degree is 121 degrees
help please , i need it asap ! ty
Answer:
7.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the one side = 3 and the other side (4.5) is supposed to be the same all it is is 4.5/3 which is 1.5. 1.5 times 5 ( the bottom side) is 7.5! X=7.5
Genies is making cookies. She needs 1 2/3 cups of flour for one batch, but she wants to make 2 1/3 batches. Write an equation that can be used to find how many cups of flour genies will need
Equation: (1 2/3)(2 1/3) = x
Answer: 3 8/9 cups
Step-by-step explanation:
x represents the amount of flour she will need in cups.
To solve, convert the mixed numbers to improper fractions and multiply...
1 2/3 becomes 5/3
2 1/3 becomes 7/3
Now we have
(5/3)(7/3) = x
35/9 = x
35/9 is 3 8/9 as a mixed number
helpppppppppppp meee
Answer:
-8
Step-by-step explanation:
Plz give brainliest
i dont have any
Elyssa bought a rectangular aquarium. The measurements, in feet (ft), are shown below.
How much water will it take to fill the aquarium
A philanthropic organization helped a town in Africa dig several wells to gain access to clean water. Before the wells were in place, an average of 120 infants contracted typhoid each month. After the wells were installed, the philanthropic organization surveyed for nine months and found an average of 90 infants contracted typhoid per month. Assume that the population standard deviation is 40 and the number of infants that contract typhoid is normally distributed. Specify the null and alternative hypotheses to determine whether the average number of infants that contract typhoid has decreased because the wells were put in place.
Answer:
H0 : μ = 120
H1 : μ < 120
We Can conclude that the number of infants that contract typhoid has reduced because the wells were put in place.
Step-by-step explanation:
Average Number of infants who contracted typhoid monthly = 120
Average Number of infants who contracted typhoid monthly after well installation = 90
The null and alternative hypothesis :
H0 : μ = 120
H1 : μ < 120
Obtain the test statistic :
(Xbar - μ) ÷ s/sqrt(n)
(90 - 120) ÷ 40/sqrt(9)
-30 ÷ 13.3333
= - 2.25
The Pvalue at 95% confidence, df = n-1 = 9 - 1 = 8
Tcritical at 95%, df = 8 ; one tailed = 0.02728
Decision region :
Pvalue < α ; Reject H0
0.02728 < 0.05 ; Hence, we conclude that there is significant evidence that the average number of infants that contract typhoid has decreased because the wells were put in place.
Can someone please give me the answer I will mark I brilliant
Answer:
294
Step-by-step explanation:
Area = length x width
Area of one square is 7 x 7 or 49
There are 6 squares so do 49 x 6 or 49 + 49 + 49 + 49 + 49 + 49 + 49
Answer is 294.
Answer: The surface area is 294 mm2.
Step-by-step explanation:
A= l*w
A= 7*7
A=49
49*6= 294
Your employer offers a retirement plan which pays 8.5% compounded monthly. If
you deposit $420 / month for 47 years into this retirement plan, how much money
will you have in this account 47 years from now?
Answer:$19,740
Step-by-step explanation:
Hope its right.
Rule 1: Add 7 starting from 0. Rule 2: Multiply by 2 starting from 8. Select the option that correctly shows the first 5 terms of each sequence.
Question 5 options:
First sequence: 0, 6, 12, 18, 24 and second sequence: 0, 8, 16, 32, 64
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 14, 28, 56, 112
First sequence: 14, 21, 28, 35, 42 and second sequence: 8, 16, 32, 64, 128
Answer:
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128
Answer:
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128
Step-by-step explanation:
7. Newton buys a board game for $9.99
and a pack of trading cards for $2.99.
He gives the cashier a $20 bill. How
much change does he receive?
AWNSER ASAPP
Answer: Hello, there! Your Answer is Below^^
7.O2 Would be The Correct Answer.
Step-by-step explanation:
So I Subtracted 20 - 12.98 And Got the Answer $ 7.02
To Add Or subtract Decimals Here's what you can do to find your Answer
Line up the numbers vertically so that the decimal points all lie on a vertical line.
Add extra zeros to the right of the number so that each number has the same number of digits to the right of the decimal place. Step 3: Subtract the numbers as you would whole numbers.
Hope this Helps!!
Have a great day!!!
I need help if correct I will mark you
Step-by-step explanation:
option 1: 15+15+15=45
option 2: 50 usd
you tell me which is better
The length of a rectangular swimming pool is exactly three times as long
as its width. If the pool has a perimeter of 472m find the width of the pool
Answer:
59m
Step-by-step explanation:
Length= 3 × ( width)
But perimeter= 2width + 2 Lenght= 472
Let length= X
Width= Y
X= 3Y.........eqn(1)
2X + 2Y= 472........eqn(2)
Substitute X= 3Y in eqn(2)
2(3Y) + 2Y = 472
6Y + 2Y= 472
8Y= 472
Y= 59 m
Hence, the width of the pool is 59 m
A square playground is covered with pebbles, except for two equal size triangular portions that have grass. How many square feet do the pebbles cover? 7ft 14ft
Answer:
The anser is 14 times 7 = 98ft
Step-by-step explanation:
1. Name an example of a real-world data set, not yet mentioned in the course, where you would typically expect to see a normal distribution. Be sure to describe what the labels would be for the horizontal and vertical axis of the display. Then explain why you would expect a normal distribution. What range of data values would you expect to represent 1 standard deviation from the mean? (15 points; 10 for your answer, 5 for response to others' comments.)
Answer:
1.The heights of students in a class, for example, would have a normal distribution. We expect a few students to be extremely tall and a few to be extremely short, but the majority will be in the middle. On the x-axis, we'll have heights, and on the y-axis, we'll have the frequency of the number of students with heights. According to the empirical rule, 68 percent of the data could fall within one standard deviation of the mean.
1. How many total students were surveyed?
2. Which of the following statements is NOT correct?
A. The median is likely to fall in the 5 – 9 interval.
B. More students read between 0 – 9 books than 10 - 24 books
C. The mode is 24 books.
D. The range of books read could be 24.
Answer:
A if I'm not incorrect. Sorry if I am incorrect I'm bad at math.
Find the size of the final unknown exterior angle in a polygon whose other exterior angles are:
57°, 68°, 32°, 59° and 72°.
Answer:
=72
Step-by-step explanation:
57+68+32+59+72=288
360-288=72
Perimeter = 26 yards
Answer:
There isn’t a answer
Step-by-step explanation:
Where is the question? I’ll edit the message if there is something that needs to be solved otherwise this doesn’t make sense.
please help me I want to get a good grade so my mom can appreciate me :D!
Answer:
The unit rate is 1.5
Step-by-step explanation:
Given
[tex]Ratio = 4/7 : 8/21[/tex]
Required
Determine the unit rate
To do this, we need to express the ratio as:
[tex]Ratio = m : 1[/tex]
Where m is the unit rate
[tex]Ratio = 4/7 : 8/21[/tex]
Express as fraction
[tex]Ratio = \frac{4/7 }{ 8/21}[/tex]
Solve
[tex]Ratio = \frac{4}{7} * \frac{21}{8}[/tex]
[tex]Ratio = 1.5[/tex]
Express as ratio
[tex]Ratio = 1.5 : 1[/tex]
Hence, the unit rate is 1.5
A lamp points toward the base of a doorway as shown below, what is the height, in feet, of the lamp
Answer: [tex]40\sqrt{3}[/tex]
Step-by-step explanation:
30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is [tex]x\sqrt{3}[/tex] and the hyp. is 2x
we need to figure out X
we also know that the leg opposite 60 is = 120
[tex]120=x\sqrt{3}[/tex]
square everything
[tex]14400=3x^{2}\\4800=x^{2} \\\sqrt{4800} =x\\\sqrt{1600*3} =x\\40\sqrt{3} =x[/tex]
How -15 + 8 gives me 7 ????????
Answer:
It gives you -7
Step-by-step explanation:
Think of the problem as 8 - 15, because 8 is a smaller number and 15 is bigger, you'll get a negative number.
The next step is use the rule**a-b = -(b-a)**which is - (15 - 8)
Then when you simplify it, it will be - (15 - 8)= - 7**(which is the answer)
Hope this helps:)
Okay Ju|ian Foley simplifies this polynomial and then write it in standard form if Ju|ian wrote it the last term
Answer:
the second choice
Step-by-step explanation:
Find the sum of these polynomials.
(4x2 + 3x - 1) + (x2 - 5x - 6) =
Answer: 5x2-2x-7
Step-by-step explanation:
(4x2 + 3x - 1) + (x2 - 5x - 6)
=4x2+3x-1+x2-5x-6
=5x2-2x-7
-67.2-61.5−67.2−61.5
Answer:
-257.4
Step-by-step explanation:
-257.4 trust meh
Answer:
-257.4
mark as brainliest
find the length of x
help please i need it asap
Step-by-step explanation:
[tex] \frac{6}{4.5} = \frac{4}{x} \\x \times 6 = 4 \times 4.5 \\ x = \frac{4 \times 4.5}{6} \\ x = \frac{18}{6} \\ x = 3[/tex]
#CMIIWWhat makes an equation false?
Answer:
When ever you can’t solve it it considered false like 4 - 12
Step-by-step explanation:
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.
The answer is C
A is a circle so no.
B has a curve so no.
D isn't connected so obviously no.
Help please!! | No links!!
What is the measurement of the angle below?
Answer:
210 degrees
Step-by-step explanation:
The line is pointing at 210 degrees. You just have to turn the picture.
QUESTION 5 of 10: Throughput is the number of units a machine or process can produce in a given time. Cycle time is the time to produce
one unit. If the cycle time of your machine is 35 seconds and it runs 24/7, what is the throughput for a year period?
O a) 901,029
Ob) 969,623
c) 1,180,336
d) 1,173,322
9514 1404 393
Answer:
a) 901,029
Step-by-step explanation:
The production volume for 1 year is ...
1 unit/(35 s) × (3600 s)/(1 h) × (24 h)/(1 day) × (365 day)/(1 year)
= 3600×24×365/35 unit/year = 901,029 unit/year
the ratio of boy to girls in a school 1s 5:7. if there are 780 students in the school, how many boys are in the school?
Answer:
325 boys
Step-by-step explanation:
The ratio 5:7 represents 5+7=12 students. If we were to proportionalize this ratio to 780 students, we would multiply the ratio by 65/65 since 780/12=65.
Therefore, you have (5*65)/(7*65)=325/455 as your ratio. This means that there are 325 boys in the school
Use the diagram to complete the statement!
Due in 10 min! Please help!
Will give brainliest!
Answer:
m>NQR=30°
m<LNS=61°
RQ=7
Step-by-step explanation:
m>NQR=180-89-61=30°
m<LNS=61°
RQ= 8/4=x/3.5 = 7