Answer:
a. number of periods over which interest is calculated on the loanStep-by-step explanation:
The equation is:
[tex]P = PV\times \frac{i}{1-(1 + i)^{-n}}[/tex]
Where,
PV is the present value or the amount of the loan.i is the interest rate per period and is calculated dividing the yearly percent rate by 100 and by the number of periods in a year.n is the total number of periods and is calculated as the product of the number of periods in a year times the number of years.For example, to calculate the montly payment of a $30,000 loan to be paid in 10 years, at 8% compounded monthly, you use>
PV = 30,000i = (8 /100) / (12) = 0.08/12 ≈ 0.006667n = 10 years × 12 months/year = 120 months = 120 periods.Hence, n represents number of periods over which interest is calculated on the loan.
Answer:
to sum it up its A
Step-by-step explanation:
What is the value of 1/6^0?
1/6
0
1
undefined
Answer:
1
Step-by-step explanation:
Simplify the following:
(1/6)^0
Hint: | Any nonzero number to the zero power is one.
(1/6)^0 = 1:
Answer: 1
The slope of (3,6) and (5,2)
[tex]\text{Hey there!}[/tex]
[tex]\mathsf{The\ slope\ formula\ is: \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\mathsf{y_2=2}\\\mathsf{y_1=6}[/tex]
[tex]\mathsf{x_2=5}\\\mathsf{x_1=3}[/tex]
[tex]\mathsf{Equation: \dfrac{2-6}{5-3}}\\\\\bullet\mathsf{2-6=-4\leftarrow your\ \bf{y}\mathsf{\ value}}\\\\\bullet{\mathsf{5-3=2\leftarrow your\ \bf{x}\ \mathsf{value}}}\\\\\mathsf{New\ equation/answer:\ \dfrac{-4}{2}}\\\\\boxed{\bf{Answer:\mathsf{-2\ or\ \dfrac{-4}{2}}}}[/tex]
[tex]\text{Good luck on your assignment enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
What is the slope Intercept form of 8x-2y=-72
Answer:
y = 4x + 36
Step-by-step explanation:
To find the equation in slope-intercept form, rearrange to isolate "y".
Slope-intercept form is y = mx + b. The variables mean:
"x" and "y" - points that are on the line, or solutions.
"m" - the slope, how steep the line is
"b" - the y-intercept, when the line touches the y-axis
Isolate "y".
8x - 2y = -72
8x - 8x - 2y = -72 - 8x Subtract 8x from both sides.
-2y = -72 - 8x Left side : 8x - 8x = 0
[tex]\frac{-2}{-2}y = \frac{-72}{-2} - \frac{8}{-2}x[/tex] Divide both sides by -2
y = 36 - (-4)x Simplify the fractions
y = 36 + 4x Remember two negatives make a positive, add 4x.
y = 4x + 36 Put "4x" in front of 36. It looks like y = mx + b now.
"m" would be 4.
"b" would be 36.
Danica is in the observation area of the sears tower in chicago overlooking lake michigan. She sights two sailboats going due east from the tower. The angles of depression to the two boats are 42 degrees and 29 degrees. If the observation deck is 1,353 feet high, how far apart are the boats?
The distance between the two sailboats is approximately 2,197 feet.
1. Find Distances to Boats:
- Use the tangent function for each angle of depression to find the distances from the observation deck to each sailboat. For boat 1 (42 degrees), use [tex]\(\tan(42^\circ) = \frac{\text{height}}{\text{distance}}\)[/tex], and for boat 2 (29 degrees), use [tex]\(\tan(29^\circ) = \frac{\text{height}}{\text{distance}}\)[/tex].
2. **Calculate Individual Distances:**
- For Boat 1: [tex]\( \text{Distance}_{\text{Boat 1}} = \frac{\text{height}}{\tan(42^\circ)} \)[/tex]
- For Boat 2: [tex]\( \text{Distance}_{\text{Boat 2}} = \frac{\text{height}}{\tan(29^\circ)} \)[/tex]
3. Determine Distance Between Boats:
- The distance between the two boats is [tex]\( \text{Distance}_{\text{Boat 1}} - \text{Distance}_{\text{Boat 2}} \)[/tex].
4. Final Answer:
- The final answer is the distance between the two sailboats, which is approximately 2,197 feet.
Consider circle H with a 3 centimeter radius. If the length of minor arc RS is 5
2
π, what is the measure of ∠RST? Assume that chords RS and TS are congruent.
A) 20°
B) 25°
C) 30°
D) 40°
Answer:
b 25
Step-by-step explanation:
Answer: its c: 30
Step-by-step explanation:
i just got this wrong so haha
(9-7i)–(4i +15)
What’s the answer
Answer:
-6 - 11i.
Step-by-step explanation:
(9-7i)–(4i +15)
= 9 - 7i - 4i - 15 Add like terms:
= -6 - 11i.
Lydia decides to provide cheddar cheese for the competition. She buys 4.2 kilograms for 39.90. She estimates the cost of 1 kilogram of cheese to be $1. Is her estimate reasonable?
The rate of cheese is $9.5 per kilogram which does not match Lydia's estimation.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
Lydia decides to provide cheddar cheese for the competition. She buys 4.2 kilograms for 39.90.
She estimates the cost of 1 kilogram of cheese to be $1.
Let's check the rate of cheese. Then we have
Rate = $39.90 / 4.2
Rate = $9.5 per kilogram
The rate of cheese is $9.5 per kilogram which does not match Lydia's estimation.
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.There are 850 Douglas fir and Ponderosa pine trees in a section of forest bought by Karamazov Logging Co. The company paid an average of $300 for each Douglas fir and $225 for each Ponderosa pine. If the company paid $217,500 for the trees, how many of each kind did the company buy
The number of Douglas fir pine trees is 350, and the number of Ponderosa pine trees is 500
Applications of Simultaneous equationFrom the question, we are to determine the number of each kind of pine trees.
Let x represent Douglas fir pine trees
and y represent Ponderosa pine trees
From the first statement - There are 850 Douglas fir and Ponderosa pine trees
We can write that
x + y = 850 ------------- (1)
Also,
The company paid an average of $300 for each Douglas fir and $225 for each Ponderosa pine; and the company paid $217,500 for the trees.
From this statement, we can write that
300x + 225y = 217500 ---------------- (2)
Now, we will solve the equations simultaneously
From equation (1)
x + y = 850
Then,
x = 850 - y ------------ (3)
Substitute this into equation (2)
300x + 225y = 217500
300(850-y) + 225y = 217500
255000 -300y + 225y = 217500
255000 - 75y = 217500
255000 - 217500 = 75y
37500 = 75y
∴ y = 37500/75
y = 500
Substitute the value of y into equation (3)
x = 850 - y
x = 850 - 500
x = 350
∴ x = 350 and y = 500
Hence, the number of Douglas fir pine trees is 350, and the number of Ponderosa pine trees is 500
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4/6 is less than or greater than 4/2
Answer:
No.
Step-by-step explanation:
4/6 as a decimal is 0.667 whereas 4/2 as a decimal is 2.
;D
Use angle relationships and the diagram at right to write and solve an equation for 4x-5 2x+9
The value of x in the diagram given is : 7
What are Alternate Angles ?
These angles are located on the inner side of the parallel lines and on opposite sides of the transversal. Alternate angles are equal.
To solve, equate both values;
4x - 5 = 2x + 9
4x - 2x = 9 + 5
2x = 14
x = 14 / 2
x = 7
The value of x is 7
A game designer must decide how to color five buildings that are in a row. Using only the colors yellow, green, red, and blue, each building must be painted with exactly one color. Any two neighboring buildings must be different colors, and the first, third, and fifth buildings must be different colors. How many ways are there to paint the five buildings?
Answer:
20
Step-by-step explanation:
Yellow, Green, Red, Green, Blue
Yellow, Red, Green, Red, Blue
Yellow, Blue, Red, Blue, Green
Yellow, Blue, Green, Blue, Red
5x4 = 20 because those are all the possible ways with yellow as the first building color, so there are 4 possible ways with yellow being in front, meaning all five of the colors have 4 possible ways of being in front. so 5x4=20
Answer:
84
Step-by-step explanation:
84 cause there will be 108 ways - 24 ways
15 times 18 + 12 divided by 3 +9
Answer:
23.5
Step-by-step explanation:
[tex]\text{Hey there!}[/tex]
[tex]\text{In order for you to solve for you solve for the equation, you have to do}\\\text{PEMDAS}[/tex]
[tex]\text{PEMDAS means}\downarrow\\\text{Parentheses}\\\text{Exponents}\\\text{Multiplication}\\\text{Division}\\\text{Addition}\\\text{Subtraction}[/tex]
[tex]\text{In this equation we have}\downarrow\\\bullet\text{Multiplication}\\\bullet\text{Division}\\\bullet\text{Addition}[/tex]
[tex]\bf{15\times18+\dfrac{12}{3} +9}\\\\\\\bf{15\times18=270}\\\\\\\bf{\dfrac{12}{3} = 4}\\\\\\\bf{270+4+9}\\\\\\\bf{270+4=270}\\\\\\\bf{274+9=answer}\\\\\\\boxed{\bf{Answer}:283}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
3(1)+3(-x/3)=3(5x/3)
Answer:
x= 1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
3(1)+3(-x/3)=3(5x/3)
3-x=5x
3=x+5x
3=6x
x=3/6
simplify
x=1/2
Is y= -3x + 10 a linear function
Answer: yes
Step-by-step explanation:Can you brainless me
Terrence and Lee were selling magazines for a charity. In the first week, Terrance sold 30% more than Lee. In the second week, Terrance sold 12 magazines, but Lee did not sell any. If Terrance sold 50% more than Lee by the end of the second week, how many magazines did Lee sell?
Choose any model to solve the problem. Show your work to justify your answer.
Lee sold 60 magazine
Step-by-step explanation:
Terrence and Lee were selling magazines for a charity
In the first week, Terrance sold 30% more than LeeIn the second week, Terrance sold 12 magazines, but Lee did not sell anyTerrance sold 50% more than Lee by the end of the second weekWe need to find how many magazines Lee sold
Assume that Lee sold x magazines
∵ Terrance sold 30% more than Lee in the first week
∵ Lee sold x magazines in the first week
- Find 30% of x and add it to x to find how many magazines
Terrance sold
∵ Terrance sold = 30% × x + x
∴ Terrance sold = [tex]\frac{30}{100}[/tex] × x + x = 0.3 x + x
∴ Terrance sold = 1.3 x magazines in the first week
∵ Terrance sold 12 magazines in the second week
- Add 1.3 x to 12 to find the number of magazines that Terrence
sold in the two weeks
∴ Terrence sold 1.3 x + 12 magazines in the two weeks
∵ Lee did not sell any in the next week
∴ Lee sold x magazines in the two weeks
∵ Terrance sold 50% more than Lee by the end of the 2nd week
- Equate 1.3 x + 12 by the sum of x and 50% of x
∴ 1.3 x + 12 = 50% × x + x
∵ 50% × x = [tex]\frac{50}{100}[/tex] × x = 0.5 x
∴ 1.3 x + 12 = 0.5 x + x
- Add the like terms in the right hand side
∴ 1.3 x + 12 = 1.5 x
- Subtract 1.3 x from both sides
∴ 12 = 0.2 x
- Divide both sides by 0.2
∴ 60 = x
Lee sold 60 magazine
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Allen and Beverly thought of the same number. Allen doubled the number and added 15 to the result. He got 51. Beverly performed the same operations with the number, but in reverse order. What did she get?
Allen and Beverly both thought of the number 18. When Allen doubled the number and added 15, he got 51. Beverly, in reverse order, subtracted 15 from the number and then doubled it to get 6.
Let the number that Allen and Beverly thought of be represented by 'x'.
Allen doubled the number and added 15 to the result, which gives us the equation:2x + 15 = 51
Now, we need to solve for 'x' to find the original number.
Subtract 15 from both sides of the equation: 2x = 51 - 15
2x = 36
Now, divide both sides by 2 to isolate 'x': x = 36 / 2
x = 18
So, Allen and Beverly both thought of the number 18.
Now, Beverly performs the same operations but in reverse order: 1. She starts with the number 18.
2. She subtracts 15 from it:18 - 15 = 3
3. Then, she doubles the result:2 * 3 = 6
So, Beverly gets the result of 6 by performing the same operations in reverse order.
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To qualify for a store discount, Clay’s soccer team must spend at least $560 for new jerseys
Answer:
Step-by-step explanation: they must spend a minimum of $28 per jersey
3)
Which numerical expression equals − 1?
A) − 1(1− 1)
B) − (− 1)(− 1)
C) (− 1) + 1 − 1 (− 1)
D) − (− 1) − (− 1)(− 1)
Answer:
the correct answer is B
Answer: b
i just wrote it down on paper and used a calculator to reassure.
I can't get the answer!!!! >:(
Answer:
The scale factor of the smaller rectangle to the larger rectangle is 3/2
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
To find out the scale factor of the smaller rectangle to the larger rectangle. set up a proportion
[tex]\frac{9}{6}=\frac{3}{2}[/tex] ----> ratio of corresponding heights
or
[tex]\frac{12}{8}=\frac{3}{2}[/tex] ----> ratio of corresponding bases
therefore
The scale factor of the smaller rectangle to the larger rectangle is 3/2
-12.11x - 10.5 = 75.6 - 3.5x
Answer:
x = −10
Step-by-step explanation:
1. Add 12.11x to both sides.
−10.5 = 75.6 − 3.5x + 12.11x
2. Simplify 75.6 - 3.5x + 12.11x to 75.6 + 8.61x.
−10.5 = 75.6 + 8.61x
3. Subtract 75.6 from both sides.
−10.5 − 75.6 = 8.61x
4. Simplify −10.5 −75.6 to −86.1.
−86.1 = 8.61x
5. Divide both sides by 8.61.
[tex]-\frac{8.61}{86.1}[/tex] = x
6. Simply [tex]-\frac{8.61}{86.1}[/tex] to 10
−10 = x
7. Flip it.
x = −10
If the function m not-equals 0 has an inverse function, which statement must be true?
Note: Your question is missing some details. After a little research, I am able to find the complete question which is as follows:
If the function f(x) = mx + b has an inverse function, which statement must be true?
a) m=/0
b) m = 0
c) b=/0
d ) b = 0
Answer:
The value of [tex]m[/tex] cannot be equal to 0. In other words,
[tex]m\:\ne \:0[/tex]
Step-by-step explanation:
Considering the function
[tex]f(x) = mx + b[/tex]
Lets find the inverse of this function.
Suppose
[tex]y=f\left(x\right)[/tex][tex]y=mx+b[/tex]Lets exchange the variables [tex]x[/tex] and [tex]y[/tex] such as
[tex]x=my+b[/tex]
Lets isolate the variable [tex]y[/tex]
[tex]my=x-b[/tex]
[tex]y=\frac{x-b}{m}[/tex]
Suppose
[tex]f\left(x\right)^{-1}=y[/tex]
As
[tex]y=\frac{x-b}{m}[/tex]
So, inverse function is
[tex]f\left(x\right)^{-1}=\frac{x-b}{m}[/tex]
As the denominator [tex]m[/tex] cannot be zero in the inverse function.
Thus, the value of [tex]m[/tex] cannot be equal to 0. In other words,
[tex]m\:\ne \:0[/tex]
Keywords: function, inverse function
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Answer:
a
Step-by-step explanation:
What is the answer to this inequality -45x+12<112?
The solution to the given inequality is [tex]x<-\frac{20}{9}[/tex].
Step-by-step explanation:
Given inequality is;
-45x+12<112
For solving the inequality, we will subtraction 12 from both sides in step 1;
[tex]-45x+12-12<112-12\\-45x<100[/tex]
Now, we will divide both sides by -45
[tex]\frac{-45x}{-45}<\frac{100}{-45}\\\\x<-\frac{100}{45}\\\\x<-\frac{20}{5}[/tex]
The solution to the given inequality is [tex]x<-\frac{20}{9}[/tex].
Keywords: inequality, division
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Which expression is equivalent to 1/3y
Answer:
1/6y + 1/6(y + 12) - 2
Answer:
C
Step-by-step explanation:
Edge 2020
Factor the expression:
30 + 100c
A particular bacterial colony doubles its population every 15 hours. A scientist running an experiment is starting with 100
bacteria cells. She expects the number of cells to be given by the formula, where t is the number of hours since the
experiment started.
C = 100 (2 ^t/15)
After how many hours would the scientist expect to have 300 bacteria cells?
Give your answer to the nearest hour.
A) 2 hours
B) 24 hours
C) 1,048,557 hours
D) 104,857,699 hours
Answer:
24 hours
24 hours is the solution to 300=10(2)^t/15
After 24 hours the scientist expect to have 300 bacteria cells.
Given :
the number of cells to be given by the formula, where t is the number of hours since the experiment started.
[tex]C=100(2)^{\frac{t}{15} }[/tex]
't' represents the time taken for the cells to grow.
we need to find out the time taken to have 300 bacteria cells.
So, we replace C with 300 and solve for t
[tex]C=100(2)^{\frac{t}{15} }\\300=100(2)^{\frac{t}{15} }\\\frac{100\cdot \:2^{\frac{t}{15}}}{100}=\frac{300}{100}\\2^{\frac{t}{15}}=3\\\frac{t}{15}\ln \left(2\right)=\ln \left(3\right)\\t=\frac{15\ln \left(3\right)}{\ln \left(2\right)}\\t=23.77443[/tex]
So, it takes 24 hours to have 300 bacteria cells.
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Which of the following is equivalent to 4x – 3y = -6?
Answer:
Hello, Subtract 4x 4 x from both sides of the equation. Divide each term by 3 3 and simplify. Divide each term in 3y=−4x+15 3 y = - 4 x + 15 by 3 3 . Use the slope-intercept form to find the slope and y-intercept.
Hope This Helps!
Let Y represent Jaron’s age in years. If Dawn were 5 years older, she would be Jaron’s age. Which expression represents Dawn’s age?
Answer:5-y=a
Step-by-step explanation:
1) In the diagram, l || m. If the measure of angle 3 is 120 find the measure of the following angles
a) angle 4
b) angle 6
c) angle 8
2)Describe the sequence of transformations from quadrilateral WXYZ to W” X” Y” Z”.
Answer:
i) angle 3 is 120°
ii) angle 3 + angle 4 = 180° as both angles make up a staright line
∴ angle 4 = 180° - angle 3 = 180° - 120° = 60°
iii) angle 6 = angle 3 = 120° as they are opposite interior angles
iv) angle 6 + angle 8 = 180° as both angles make up a straight line
∴ angle 8 = 180° - angle 6 = 180° - 120° = 60°
Step-by-step explanation:
i) angle 3 is 120°
ii) angle 3 + angle 4 = 180° as both angles make up a staright line
∴ angle 4 = 180° - angle 3 = 180° - 120° = 60°
iii) angle 6 = angle 3 = 120° as they are opposite interior angles
iv) angle 6 + angle 8 = 180° as both angles make up a straight line
∴ angle 8 = 180° - angle 6 = 180° - 120° = 60°
The admission fee at a small fare is $1.50 for children and four dollars for adults. One certain day $5050 is collected. If 1000 adults attended the fair right and solve the Larry Quetion to find the number of children that attended
700 children attended the fair
Solution:
Let "a" be the number of children attended
Let "b" be the number of adults attended
Cost for each children = $ 1.50
Cost for each adult = $ 4
1000 adults attended the fair
b = 1000
One certain day $5050 is collected. Therefore, we frame a equation as:
number of children attended x Cost for each children + number of adults attended x Cost for each adult = 5050
[tex]a \times 1.50 + 1000 \times 4 = 5050\\\\1.5a + 4000 = 5050\\\\1.5a = 5050 - 4000\\\\1.5a = 1050\\\\Divide\ both\ sides\ by\ 1.5\\\\a = 700[/tex]
Thus 700 children attended the fair
A female executive selecting her wardrobe purchased five blazers, three blouses, and five skirts in coordinating colors. How many ensembles consisting of a blazer, a blouse, and a skirt can she create from this collection?