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Related Questions
For a fixed loan amount, what happens to the monthly payment as the annual rate increases? a. as the annual rate increases, the monthly payment increases c. as the annual rate increases, the monthly payment stays the same b. as the annual rate increases, the monthly payment decreases d. no correlation
Answers
Answer:
c. as the annual rate increases, the monthly payment stays the same.
Step-by-step explanation:
A loan is an amount of money given by individuals, organizations to borrower over a period of time and to repay the principal amount with interest.
A fixed loan amount means that a borrower pays the same amount through each stage of agreed payment of the loan. The amount paid installmentally should not vary or fluctuate during the life of the loan. The amount paid by the borrower every month is fixed, thereby ensures that the loan is paid off in full with interest at the end of its term. As the annual rate increases, the monthly payment stays the same but the number of years may increase.
Find the zeros and state whether the multiplicity of each zero is even or odd. What are the zeros of f?
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The multiplicity of a root is the number of times it appears as a factor in the function. For example, in [tex]g(x) = x(x+1)^5[/tex], -1 has a multiplicity of five, and 0 has a multiplicity of one. If the multiplicity is an even number, then the graph touches zero and then rebounds (it does not change sign). This is because raising a number to an even power maintains its sign. If the multiplicity is odd, then the graph touches zero and cross the x-axis, changing its sign.
Here, -1 has an odd multiplicity, and 1 has an even multiplicity.
This could be the equation of [tex]f(x) = (x-1)^2(x+1)[/tex].
Here is a list of ingredients for making cherry scones: Makes 8 cherry scones 200 grams flour 60 grams margarine 40 grams sugar 60 grams cherries 160 ml milk Sophie has 80 grams of sugar and 300 grams of flour. She has plenty of the other ingredients. What is the greatest number of cherry scones she can make?
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A cup of rolled oats (
x
x) provided
310
310 calories. A cup of wheat flakes (
y
y) provided
290
290 calories. A new breakfast cereal combines wheat and oats to provide
302
302 calories per cup. How much of each grain does
1
1 cup of the cereal contain?
Answers
Therefore 310*z + 290 * (1-z) = 302.
310z-290z+290=302.
20z=12 z=12/20 = .6.
Therefore the new cereal is 60% oats and 40% wheat flakes.
A cup of the cereal then contains 3/5 cup of oats, and 2/5 cup of wheat flakes.
There are 96 raisins and 24 cashews in each package of granola. What is the unit rate in raisins per cashew?
4
12
20
96
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How much interest is earned on $269 at 10% for five years?
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The simple interest can be calculated using the formula:
[tex] I = \frac{PRT}{100} [/tex]
We are given :
Principal = $269
Rate of interest = 10%
Time = 5 years
Plugging the values in the formula:
[tex] I = \frac{269*10*5}{100} [/tex]
Interest = $134.5
The interest on the principal amount in 5 years at the rate of 5% will be equal to $134.5.
What is Simple interest?A quick and simple way to figure out interest on that money is to use the simple interest approach, which adds interest at the same rate for each daily cycle, and it is to the initial principal amount.
A way to figure out how much interest will be charged on an amount of money at a specific rate and for a specific duration of time is by using simple interest.
As per the question, the given data is,
Principle, P = $269
Rate, T = 10%
Time, T = 5 years
[tex]SI =(P*R*T)/100[/tex]
SI = (269 ×10 × 5)/100
SI = $134.5
Therefore, the interest earned in 5 years is $134.5.
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what is 7 × (12 + 8) - 6=
Answers
Groupings
Exponents
Multiplication
Division
Addition
Subtraction
First, we simplify the terms inside the parentheses [tex](12+8)=20[/tex]. Next, following the order of operations, we multiply this by 7, to get 140. Finally, we subtract 6 to get 134.
The price of a bicycle was increased from $300 to $450. What percent of the original price is the increased price?
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The percentage increase is 50% than the original price.
The price of a bicycle was increased from $300 to $450. What percent of the original price is the increased price?
Calculate the increase: $450 - $300 = $150.
Calculate the percentage increase: ($150 / $300) x 100% = 50%.
3/4x= -12 What does "x" equal?
Answers
(3 x)/4 = -12
Multiply both sides of (3 x)/4 = -12 by 4/3:
(4×3 x)/(3×4) = -12×4/3
4/3×3/4 = (4×3)/(3×4):
(4×3)/(3×4) x = -12×4/3
4/3 (-12) = (4 (-12))/3:
(4×3 x)/(3×4) = (-12×4)/3
(4×3 x)/(3×4) = (3×4)/(3×4)×x = x:
x = (-12×4)/3
(-12)/3 = (3 (-4))/3 = -4:
x = 4×-4
4 (-4) = -16:
Answer: x = -16
Which statement about the following argument is true?
Argument:
If it snows, the roads will get slippery.
It's snowing.
Therefore, the roads are slippery.
A:The argument is valid by the Law of Syllogism.
B: The argument is valid by the Law of Detachment.
C: The argument is invalid.
D: The argument is valid but does not follow the Law of Syllogism or the Law of Detachment.
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2. Determine the contrapositive statement of the conditional, so we have...
If you live in Idaho, then you do not live in New York City.
3. If ticket prices are low and the line to purchase them is short, then I will go to the show.
4. If Satish takes the Tuesday 8:00am Chemistry class or the Tuesday 8:00am Physics class, then he will finish the program.
Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make a total profit of $78. Using the equation 8(x+2.75)=78, Rita determined that she needs to sell each necklace for $7 to make a total profit of $78. Which error did Rita make?
Answers
.. 8(x -2.75) = 78
That value will be
.. x = 2.75 +78/8 = 12.50
Answer:
Rita made a sign error.
Step-by-step explanation:
Let x be the selling price of each necklace.
We are told that the materials to make each necklace cost $2.75.
Since profit is the difference between selling price and cost.
[tex]\text{Profit}=\text{Selling price- Cost}[/tex]
So profit of Rita from selling one necklace will be:
[tex]\text{Profit of Rita from 1 necklace}=x-2.75[/tex]
To find the profit of Rita from selling 8 necklace we will multiply 8 by profit of 1 necklace.
[tex]\text{Profit of Rita from 8 necklaces}=8(x-2.75)[/tex]
As Rita wants to make a total profit of $78 from selling 8 necklaces, so we will substitute 78 as profit of 8 necklaces.
[tex]78=8(x-2.75)[/tex]
Upon comparing our equation with the given equation we can see that Rita made a sign error as she added the cost with the selling price instead of subtracting the cost from selling price.
Let us find the selling price.
[tex]78=8x-22[/tex]
[tex]78+22=8x[/tex]
[tex]100=8x[/tex]
[tex]\frac{100}{8}=x[/tex]
[tex]12.5=x[/tex]
We can see that the selling price of each necklace will be 12.5, therefore, Rita made a sign error.
Solve the quadratic equation. (x - 4)2 = 36
Answers
The solutions to the quadratic equation (x - 4)² = 36 are
x = 10 and x = -2.
We have,
To solve the quadratic equation (x - 4)² = 36, we can start by taking the square root of both sides of the equation.
However, we need to consider both the positive and negative square roots because squaring a number eliminates the sign.
Taking the square root of both sides, we have:
√[(x - 4)²] = √36
Simplifying further:
|x - 4| = 6
Now, we can set up two separate equations to consider both the positive and negative square roots:
x - 4 = 6 or x - 4 = -6
Solving the first equation:
x - 4 = 6
Adding 4 to both sides:
x = 10
Solving the second equation:
x - 4 = -6
Adding 4 to both sides:
x = -2
Therefore,
The solutions to the quadratic equation (x - 4)² = 36 are
x = 10 and x = -2.
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what is the vertex of -3x^2 - x + 12
Answers
To start, first find your axis of symmetry, or the x value of your vertex, which is found by using the formula
x=-b/2a.
In the quadratic equation -3x^2-x+12, the b value would be -1 (the b value is the second coefficient as according to ax^2+bx+c) and the a value would be -3.
Now, plug the values into the axis of symmetry formula and simplify for x:
x=-(-1)/2(-3)
x=1/-6
x=-[tex] \frac{1}{6} [/tex]
Now, plug the value of the axis of symmetry to solve for the y value of the vertex:
-3(-1/6)^2-(-1/6)+12
-3(1/36)+1/6+12
-1/12+1/6+12
1/12+12
=[tex] \frac{145}{12} [/tex]
Knowing that the x value, or axis of symmetry is -[tex] \frac{1}{6} [/tex] and the y value is [tex] \frac{145}{12} [/tex], your vertex would be (-[tex] \frac{1}{6} [/tex],[tex] \frac{145}{12} [/tex]).
Hope this helps and I hope you have a wonderful day! :)
The shorter leg of a 30°-60°-90° triangle measures 3 inches. What is the length of the hypotenuse?
A. 6 inches
B. 3sqrt3 inches
C. 9 inches
D. 6sqrt3 inches
Answers
.. 1 : √3 : 2
The hypotenuse is 2 times the length of the shorter leg, so is 6 inches, selection A.
A. 6 inches
Hope I help
Prove: tan(x-y)+tan(y-z)+tan(z-x)=tan(x-y)tan(y-z)tan(z-x)
Answers
=> tan(z-x) = (tan(y-x) - tan(y-z))/(1+tan(y-x).tan(y-z))
by given formula.
Multiply both sides by (1+tan(y-x).tan(y-z)):
tan(z-x).(1+tan(y-x).tan(y-z)) = tan(y-x)-tan(y-z)
=> -tan(y-x) + tan(y-z) + tan(z-x) = -tan(y-x).tan(y-z).tan(z-x)
=> tan(x-y) + tan(y-z) + tan(z-x) = tan(x-y).tan(y-z).tan(z-x),
since tan(x-y) = -tan(y-x).
Please put me as brainlest if it is correct
Jose can spend no more than 24$ to buy oranges and apples. He will pay 3$ per pound for oranges and $4 per pound for apples. Draw a graph that represents the number of pounds of oranges as the number of pounds of apples Jose can buy.
Hint First, write an inequality. Then, find the x and y intercepts to draw your line. Consider whether you need a solid or dotted line. Do not forget to shade.
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let
x----------------- > number of pounds of apples Jose can buy----> 4$ per pound
y-----------------> number of pounds of oranges Jose can buy----> 3$ per pound
we have that
4x+3y<=24----------------- > this is the inequality required
with x>=0 and y>=0
using a graph tool
see the attached figure
the x-intercept is the point (6,0) maximum number of pounds of apples
the y-intercept is the point (0,8) maximum number of pounds of oranges
The solution is the triangular figure shown in the drawing
Which is not a characteristic of an exponential parent function?
A. The range is positive real numbers (y > 0).
B. The domain is all real numbers.
C. It goes through the origin.
D. It passes through (0, 1).
Answers
Answer:C. It goes through the origin
Step-by-step explanation:
Answer:
Option C) It goes through the origin.
This is the wrong statement about the parent exponential function.
Step-by-step explanation:
We are given the following:
The characteristic of exponential parent function:
[tex]f(x) = y = b^x\\\text{where b is the base}[/tex]
A) True
The range is all positive number that is y > 0
Range can never be negative.
B) True
The domain is all real number.
C) False
It does not pass through origin.
[tex]y = f(0) = b^0 = 1[/tex]
D) True
It always passes through (0,1) as shown above.
7^18/7^5 simplifies to 7^p is the value of p 3?
Answers
[tex] \frac{7^{18}}{7^5} =7^p[/tex]
Solving for p.
[tex] 7^{18-5}=7^p [/tex]
Simplify
[tex]7^{13}=7^p[/tex]
[tex]if a^{f(x)}=a^{g(x)}, \ then \ f(x)=g(x)[/tex]
We get
13=p
or
p=13
Answer: P=13
can u show me common core way how to get the answer to this problem 4 1/5. ×4 3/8
Answers
1.) You must covert the whole numbers into fractions.
[tex]4 \frac{1}{5} \: will \: become \: \frac{21}{5} [/tex]
(multiply the denominator by the whole number, which in this case is 4, then add the answer to the numerator).
[tex]4 \frac{3}{8 \: } \: will \: become \: \frac{35}{8} [/tex]
(same steps will apply as before except in this case there is a different denominator and numerator).
There is no need to make the denominators the same number since it is multiplication and not addition or subtraction (the same can be done with division expect there is one crucial difference which I can explain if you want, in the comments).
2.) Next set up the equation to multiply:
[tex] \frac{21}{5} \times \frac{35}{8} [/tex]
5 and simplify (also note that the only way you can't simplify is across)
[tex] \frac{21}{5} \times \frac{7}{8} [/tex]
3.) Now multiply across:
NUMERATOR
21 × 7 = 147
DENOMINATOR
5 × 8 = 40
It will come together to be 147/40 or 3 27/40
Paul and jose are trying to measure the height of a tree. paul is standing 19m from the foot of the tree and measures the angle of elevation to the top of the tree to be 59o. jose measures it to be 43o, how far is jose from the base of the tree?
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We know that Paul is 19m from the base of the tree and its elevation angle to the top of the tree is 59°. We also know that the elevation angle of Jose and the top of the tree is 43°, but we don't know the distance between Paul of Jose, so lets label that distance as [tex]x[/tex].
Now we can build a right triangle between Paul and the tree and another one between Jose and the tree as shown in the figure. Lets use cosine to find h in Paul's trianlge:
[tex]cos(59)= \frac{19}{h} [/tex]
[tex]h= \frac{19}{cos(59)} [/tex]
[tex]h=36.9[/tex]
Now we can use the law of sines to find the distance [tex]x[/tex] between Paul and Jose:
[tex] \frac{sin(43)}{36.9} = \frac{sin(16)}{x} [/tex]
[tex]x= \frac{36.9sin(16)}{sin(43)} [/tex]
[tex]x=14.9[/tex]
Now that we know the distance between Paul and Jose, the only thing left is add that distance to the distance from Paul and the base of the tree:
[tex]19m+14.9=33.9m[/tex]
We can conclude that Jose is 33.9m from the base of the tree.
What is 8587 divided by 12
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Given this arithmetic sequence, find d 4,_,_,_,_,179
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4 + 5d = 179
5d = 175
d = 35
The answer is d=35
(Will give Brainliest/5 Stars if correct answer)
Find the angle between the given vectors to the nearest tenth of a degree.
u = <8, 4>, v = <9, -9>
A) 81.6°
B) 25.8°
C) 35.8°
D) 71.6°
Answers
The angle between the two vectors is approximately 71.6 degrees
----------------------------------------------
----------------------------------------------
Work Shown:
Each time I write the word "dot" I mean "dot product".
|u| = length of vector u
|u| = sqrt(u dot u)
|u| = sqrt(<8,4> dot <8,4>)
|u| = sqrt(8*8 + 4*4)
|u| = sqrt(64 + 16)
|u| = sqrt(80)
|u| = sqrt(16*5)
|u| = sqrt(16)*sqrt(5)
|u| = 4*sqrt(5)
-----------------------
|v| = length of vector v
|v| = sqrt(v dot v)
|v| = sqrt(<9,-9> dot <9,-9>)
|v| = sqrt(9*9 + (-9)*(-9))
|v| = sqrt(81+81)
|v| = sqrt(2*81)
|v| = sqrt(2)*sqrt(81)
|v| = sqrt(2)*9
|v| = 9*sqrt(2)
-----------------------
u dot v = <8,4> dot <9,-9>
u dot v = 8*9 + 4*(-9)
u dot v = 72-36
u dot v = 36
-----------------------
cos(theta) = (u dot v)/(|u|*|v|)
cos(theta) = (36)/(4*sqrt(5)*9*sqrt(2))
cos(theta) = (36)/(36*sqrt(10))
cos(theta) = 1/(sqrt(10))
cos(theta) = sqrt(10)/10
theta = arccos(sqrt(10)/10)
theta = 71.56505
which rounds to 71.6 when rounding to one decimal place (nearest tenth)
That's why the approximate answer is roughly 71.6 degrees
Answer:
71.6°
Step-by-step explanation:
arctan(4/8) - arctan(-9/9) = 26.57° - (-45°) ≈ 71.6°
In the figure. d=4 yd, h=6 yd, and H=8 yd. What is the approximate volume of the figure? Use 3.14 to approximate
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so is really just a cylinder with a cone on the side, notice, since the diameter of the base is 4, the radius is half that then.
so we just simply get the volume of the cylinder, and the cone, and sum them up
[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h\quad \begin{cases} r=radius\\ h=height\\ -----\\ r=2\\ h=6 \end{cases}\implies V=\pi \cdot 2^2\cdot 6\\\\ -------------------------------\\\\ \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\quad \begin{cases} r=radius\\ h=height\\ -----\\ r=2\\ h=2 \end{cases}\implies V=\cfrac{\pi \cdot 2^2\cdot 2}{3}\\\\ -------------------------------\\\\ \stackrel{cylinder's~volume}{24\pi }~~+~~\stackrel{cone's~volume}{\cfrac{8\pi }{3}}[/tex]
Answer: 84yd
Step-by-step explanation:
Vcylinder=πr2h
=π(2)2(6)
=24π
≈24(3.14)
≈75.36 yd
_____________________
The height of the cone is the height of the figure minus the height of the cylinder:
8 yd−6 yd=2 yd
Vcone=13πr2h
=13π(2)22
=223π
≈223(3.14)
≈8.37 yd3
Add the volumes.
75.36 yd3+8.37 yd3=83.73 yd3
To the nearest cubic yard, the volume is 84 yd3.
A company invests a total of $40 comma 00040,000 of surplus funds at two annual rates of interest: 55% and 66one half 1 2%. It wishes an annual yield of no less than 6one fourth 1 4%. What is the least amount of money that the company must invest at the 66one half 1 2% rate? The company should invest at least how much money
at 66one half 1 2%.
Answers
x(0.065) + (40,000 - x)(0.05) = (40,000)(0.0625)
2,000 + 0.015x = 2500
0.015x = 500
x = 33,333
Therefore, the company must invest at least $33,333 at 6.5% to get an annual yield of at least 6.25%.
When 18 boys joined a group of why students, the ratio of boys to girls in the group became 4 : 5. Write an algebraic expression for the number of girls in terms of Y.
Answers
be careful the number of boys is in a ratio of the number of boys to the total.
Just to make sure I'm right, I solve it.
18 * 9 = 4*(y + 18)
162 = 4y + 72 Subtract 72 from both sides.
90 = 4y Divide by 4
22.5 = y Never mind the 0.5. Does it work
18/22.5 = 0.8
0.8 is the same thing as 4/5
The problem makes no sense in the real world, but it does work out mathematically.
Bradley is making fruit salad for each bowl of fruit salad he needs 3/4 cup of grapes how many cups of grapes will he use if he makes 24 bowls of fruit salad
Answers
Answer:3/4 i think
Step-by-step explanation:
The fruit salad requires 32 cups of grapes.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Bradley is making fruit salad for each bowl of fruit salad he needs 3/4 cup of grapes.
He makes 24 bowls of fruit salad.
Number of cups of grapes = Total number of bowls ÷ Number of cups of grapes in each bowl
= 24 ÷ 3/4
= 24 × 4/3
= 32
Therefore, the fruit salad requires 32 cups of grapes.
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how to set the answer up
Answers
Let s and g represents the numbers of suits and gowns produced.
The number of zippers used is 2s+g.
The number of buttons used is 5s+8g.
In order to use all of the available zippers and buttons, we must have ...
2s + g = 1715s + 8g = 576Cramer's rule tells you the solution to the system
ax +by = cdx +ey = fIs given by
x = (bf-ey)/(bd-ea)y = (cd-fa)/(bd-ea)Using this rule on the equations for zippers and buttons, we have
... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72
... g = (171·5 -2·576)/-11 = -297/-11 = 27
72 suits and 27 gowns can be made from available zippers and buttons.
The triangular shaped bases of a prism are 24 cm in length and have a height of 35 cm. Each side is 37 cm. The height of the prism is 29 cm. What is the surface area of the triangular prism? A) 2192 cm2 B) 2312 cm2 C) 3220 cm2 D) 3682 cm2
Answers
Miss Cohan purchased a bottle of vitamins for $7.99 a bottle of aspirin for $6.49 and a bottle of mouthwash for $2.99 she gave the clerk two $10 bills how much change did she receive