Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight-year life. What would be the present value of this loan if it carried a 10 percent interest rate?
Answer:
$919.98
Step-by-step explanation:
To solve using a financial calculator do
N=8
I/Y=10
PMT=85
FV=1000
CMPT PV get 919.98
To do by hand find the present value of the interst payments
85*(1-(1/1.1)^8)
which is 453.4687
Find the present value of the final ballon payment
1000*(1/1.1)^8
which is 466.507
take the sum
466.507+453.4678= 919.98
A random sample of 11 fields of rye has a mean yield of 20.1 bushels per acre and standard deviation of 7.66 bushels per acre. Determine the 80% confidence interval for the true mean yield. Assume the population is approximately normal. Round your answer to one decimal place.
Answer:
17.1≤x≤23.1
Step-by-step explanation:
The formula for calculating the confidence interval is expressed as;
CI = x ± z*s/√n
x is the mean yield = 20.1
z is the 80% z-score = 1.282
s is the standard deviation = 7.66
n is the sample size = 11
Substitute
CI = 20.1 ± 1.282*7.66/√11
CI = 20.1 ± 1.282*7.66/3.3166
CI = 20.1 ± 1.282*2.3095
CI = 20.1 ±2.9609
CI = (20.1-2.9609, 20.1+2.9609)
CI = (17.139, 23.0609)
hence the required confidence interval to 1dp is 17.1≤x≤23.1
hello if anyone would pls help
Answer:
x = 12
Step-by-step explanation:
It is a 90° angle which means that both of the angles need to add up to 90. 90-20 =70. 6×12 = 72.
6×9= 72
72-2 = 70
It adds up.
Hope this helps.
How many cubes with side lengths of 1/4 cm does it take to fill the prism?
Step-by-step explanation:
All you do is add them all up but tbh that picture could use some work and maybe when you fix it ill help you then .So the square unit of this picture is 6
Practice:
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth.
180°
a. (-1, 0)
b. (0, 1)
c. (0, -1)
d. (1, 0)
Please select the best answer from the choices provided
Answer:
A. (-1, 0)
Step-by-step explanation:
I calculated it logically
The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 25. What is the probability we could select a sample of 80 adults and find the mean of this sample is between 95 and 105
Answer:
The probability is 0.6796
Step-by-step explanation:
Given
Population Mean - 100
Population Standard Deviation - 25
As we know
z = x-μ/σ, where:
z is the standard score
x is the raw score
μ is the population mean
σ is the population standard deviation
Z value for mean of sample = 95
z1 = -100+95/25 = -5/25 = -0.2
P value for Z = -0.2 is 0.2912
Z2 = 100-105/25 = 0.2
P(z > 0.2 = 1 - P(z ≤ 0.2) = 1 - 0.0294 = 0.9706
P(-0.2 < z < 0.2) = 0.9706 - 0.2912= 0.6796
The probability is 0.6796
Which values are equivalent to the fraction below? Check all that apply.
38
30 끓
38
O A. 3-2
2
B. (
48
O c.
O D.
1
9
O E. 314
OF. 32
The value are equivalent to the fraction below is 3^2, the correct option is F.
What is a fraction?
A fraction represents a part of a number or any number of equal parts.
A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
We are given that;
3^5/3^8
Now,
A. 3^-3: This is equivalent to 1/3^3 by moving the negative exponent to the denominator. Then we can simplify 1/3^3 to 1/27 by multiplying 3 by itself 3 times. This is not equivalent to 3^5 / 3^8, since 1/27 is not equal to 3^-3.
B. (1/3)^2: This is equivalent to 1/3^2 by applying the exponent to the numerator and denominator. Then we can simplify 1/3^2 to 1/9 by multiplying 3 by itself 2 times. This is not equivalent to 3^5 / 3^8, since 1/9 is not equal to 3^-3.
C. (1/3)^8: This is equivalent to 1/3^8 by applying the exponent to the numerator and denominator. Then we can simplify 1/3^8 to 1/6561 by multiplying 3 by itself 8 times. This is not equivalent to 3^5 / 3^8, since 1/6561 is not equal to 3^-3.
D. 1/9: This is equivalent to (1/3)^2 by writing it as a power of a fraction. Then we can apply the same steps as in option B and get back to 1/9. This is not equivalent to 3^5 / 3^8, since 1/9 is not equal to 3^-3.
E. 3^14: This is not equivalent to 3^5 / 3^8, since it has a positive exponent and does not have a fraction. We cannot simplify it further without changing its value.
F. 3^2: This is not equivalent to 3^5 / 3^8, since it has a positive exponent and does not have a fraction.
Therefore, by the given fraction the answer will be 3^2.
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What is the length of a 50-inch TV that has a width of 27 inches?
What is the area of this TV?
The difference of x and y is the same as 3 times the sum of x and 2
Answer:
x - y = 3(x + 2)
x - y = 3x + 6 is the simplified answer and is also correctStep-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
x - y = 3(x + 2)
x - y = 3x + 6
Answer:
spoke out of term and with no true option.
Degree and Radian Measures
What is the degree equivalent of π/4?
a. 180°
b. 90°
c. 120°
d. 45°
Please select the best answer from the choices provided
Answer:
D. 45°
Step-by-step explanation:
I calculated it logically
Launch Problem
a) There are two stores selling boxes of crackers. Based on the information below, which store should Sylvio
purchase the crackers from? Explain your answer.
Store 1
ion
Numbero Boed Cachers
3
5
6
00
9
B
12
2
bl...
Store 2:
C = 1.5b
c = cost and b = boxes of crackers
...
b) Sylvio also needs to purchase lemons. If Sylvio wants to buy 3 boxes of crackers and 6 lemons and he does
not want to go to both stores, which one should he shop at? Explain your answer.
Store 1:
Number of lemons
3
6
9
12
1
Cost (in dollars)
2
3
4
my best answer is B i hope this helps
Can someone plz help it’s my final
Answer:
Option F, y = 2x + 5 would be the right answer
Hope this helps!
Answer:
Option F would be correct.
Hope this helps<3
Have a good day :)
~Amy
What is the distance between points (8,11) and (8,−2) on a coordinate plane?
Enter your answer in the box.
units.
What is the surface area?
And an explanation too but if not it’s ok
Answer:
356 cm.
Step-by-step explanation:
Whenever you find the surface area of a rectangular prism, remember this mnemonic:
LISA WILSON LOST HER WITCH HAT TWICE.
(TWICE) 2 (LENGTH × WIDTH + LENGTH × HEIGHT + WIDTH × HEIGHT)
In this rectangular prism, the length is 8, the width is 14, and the height is 3 (the order of numbers in length, width, and height does not matter).
Now, we can just plug in the numbers.
LENGTH × WIDTH + LENGTH × HEIGHT + WIDTH × HEIGHT
[tex]2(8*14+8*3+14*3) = 356.[/tex]
Therefore, the surface area of this rectangular prism is 356 centimeters.
x plus 1 > 3
The souliton is
Answer:
x > 2
Step-by-step explanation:
x + 1 > 3
Subtract 1 from both sides
x + 1 - 1 > 3 - 1
x > 2
Plsss help. giving extra points if correct.
In the coordinate plane, you are given JKL with J(2, 3), K(10,4), and L(6, 10). Using the distance formula, classify JKL
Answer:
Perimeter of JKL = 22.55 unit (Approx.)
Step-by-step explanation:
Given:
Coordinate of J = (2,3)
Coordinate of K = (10,4)
Coordinate of L = (6,10)
Find:
Perimeter of JKL
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
Distance between JK = √(2 - 10)² + (3 - 4)²
Distance between JK = √64 + 1
Distance between JK = √65
Distance between JK = 8.06 unit
Distance between KL = √(10 - 6)² + (4 - 10)²
Distance between KL = √16 + 36
Distance between KL = √52
Distance between KL = 7.21 unit
Distance between LJ = √(6 - 2)² + (10 - 3)²
Distance between LJ = √4 + 49
Distance between LJ = √53
Distance between LJ = 7.28 unit
Perimeter of JKL = Distance between JK + Distance between KL + Distance between LJ
Perimeter of JKL = 8.06 + 7.21 + 7.28
Perimeter of JKL = 22.55 unit (Approx.)
In XYZ the measure of Z=90 ZY=7, XZ=24 and YX=25 what ratio represents the cosine of X?
Answer:
24/25
Step-by-step explanation:
on delta math
The ratio of cosine of angle X is 24/25.
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.
Given a right triangle, XYZ with angle Y equals 90° and ZY=7, XZ=24 and YX=25
The ratio of the cosine of an angle is the ratio of the base to the hypotenuse of the right triangle,
Here, Cosine of angle X = XZ/YX
cosX = 24/25
Hence, The ratio of cosine of angle X is 24/25.
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-9x - 12 = -3
Step By Step Pls
Answer:
x = -1
Step-by-step explanation:
-3 +12 = 9
-9x = 9
-9(-1)=9
9 - 12 = -3
Click on picture to see
Answer:
none of above
Step-by-step explanation:
If f(x)= 1/x+2 and a>3, which of the following could be f(a)
A =1/2
B = 1/3
C = 1/4
D = 1/6
The equivalent value of the function is f ( a ) = ( 1/6 ) , when a > 3
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1 / ( x + 2 )
Now , the value of x > 3
So , the value of f ( x ) = f ( a )
And , when x > 3
f ( 4 ) = 1 / ( 4 + 2 )
f ( 4 ) = 1 / 6
Hence , the function is f ( 4 ) = 1 / 6
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4a - 2b = 10
write down the value of 2b-4a
Answer:I think 11 will be the answer
The equation V equals pi r squared h, where r represents radius and h represents height, is used to find the volume of a ________.
Answer:
Volume of a cylinder.
Step-by-step explanation:
The given equation is :
[tex]V=\pi r^2 h[/tex]
Where
r is the radius
h is the height
This equation is used to find the volume of a cylinder.
For example, a cylinder having radius of 7 units and height of 10 units, its volume will be :
[tex]V=\dfrac{22}{7}\times 7^2\times 10\\\\V=1540\ \text{unit}^2[/tex]
So, the given equation is used to find the volume of a cylinder.
4 quarts= how many gallons
Find the area of a semi-circle that has a radius of 8 cm.
image
A.
100.48 cm2
B.
200.96 cm2
C.
50.24 cm2
D.
25.12 cm2
Answer:
A
Step-by-step explanation:
trust
Answer:
B.
200.96 cm2
Step-by-step explanation:
A≈201.06cm²
Solution
A=πr2=π·82≈201.06193cm²
Describe how to graph the solution of y ≤ −x2 + 2x.
Answer:
See graph and explanation
Step-by-step explanation:
Assuming you mean y ≤ −x² + 2x, you graph y = −x² + 2x and then fill in the area beneath the curve of the parabola to represent the included values. See the graph for a visual.
A pack of 4 chocolate bars costs £1.20
What is the price per unit?
what is it?
Answer:
0.30 you divided the total by the number of units which is 4
Answer:
£ 0.3
Step-by-step explanation:
Given that , a pack of 4 chocolates costs £1.20. We need to find cost of one chocolate .
We can simply use Unitary Method here ,as ,=> 4 chocolates costs £1.20 .
=> 1 chocolate will cost £1.20/4 = £ 0.3
Hence the cost of unit is £ 0.3The sides of a square are all increased by 2 inches. The area of the NEW square is 49
inches squared. What is the length of a side of the original square?
A: 4.5 inches
B: 9 inches
C: 5 inches
D: 2 inches
9514 1404 393
Answer:
C: 5 inches
Step-by-step explanation:
The length of the sides of the new square is the square root of the area:
s = √A = √49 = 7
The original square had sides 2 inches shorter, so they were ...
7 in -2 in = 5 in . . . . side length of original square
This is (Worth 10 points)
Answer:
C. Both A and B are solutions to the equation
Step-by-step explanation:
A negative number sqaured is positive.
Answer:
D
Step-by-step explanation:
It is D because the correct awnser is X=4
Adam can buy 3 buckets of popcorn and 3 drinks for $25.50. Tanya
can buy 2 buckets of popcorn and 3 drinks for $19.50. How much
is one bucket of popcorn?
$25.50
O $4.75
$6.00
O $3.00
Answer:
Let price of drink be x
price of tub y
You have 4x+2y=32.5 (1) and
x = y -3.5 (2)
Plug for x from (2) into (1):
4(y-3.5) + 2y = 32.5
4y -14 +2y = 32.5
6y = 14+32.5
y = (46.5)/6 = $7.75 the price of tub
x= y-3.5 = 7.75 - 3.5 = $4.75