a function is a rule that assigns each value of the variable to exactly one value of the dependent variable
Miss Christina deposits her monthly salary $9000 in a bank which pays 7% interest compounded half yearly.How much will she get after 10 years? A.)18,122 B.)18,014 C.)17,908 D.)17,704
THe closest answer i got was 18122
Which type of transformation is shown? The transformation is a
$15.30 for 3 small pizzas
Answer:
$5.1
Step-by-step explanation:
If it costs $15.30 for 3 pizzas, then we can divide 15.30 by 3 to get $5.1. This concludes that the cost for one pizza is $5.1.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
For the diagram below, which equation is the correct use of the distance formula?
Answer:
OPTION C 17=√(27-12)²+(y2-15)² is the correct
Step-by-step explanation:
i hope this will help you :)
Answer:. C
If you are trying to get a value for the unknown y, use C.
Step-by-step explanation:
If there is already a value for y[sub2] and you are trying to find the distance, "A" would be correct.
Given that sin x < cos x and 0°< x < 90°,state a possible value of x. Explain your answer clearly.
Answer:
30°Step-by-step explanation:
Given sinx< cos x and 0°< x < 90°, to get the possible value of x, we need to solve the given inequality for x.
sinx< cos x
Dividing both sides by cos x
sin x/cos x < cos x/cos x
tan x < 1
x < [tex]tan^{-1}1[/tex]
x < 45°
Since x is less than 45°, then one of the possible value of x can be 30° since 30° is less than 45° and 30° falls within the given range of values.
Bond X is a premium bond making semiannual payments. The bond pays a coupon rate of 11 percent, has a YTM of 9 percent, and has 15 years to maturity. Bond Y is a discount bond making semiannual payments. This bond pays a coupon rate of 9 percent, has a YTM of 11 percent, and also has 15 years to maturity. The bonds have a $1,000 par value. What is the price of each bond today?
Answer:
Price of Bond X : $1,162.89
Price of bond Y : $854.66
Step-by-step explanation:
Given the following information :
Bond X :
Face value = $1000
Yield to maturity (YTM) / market interest rate = 9%
Coupon rate = 11%
Years to maturity = 15 years
Compounding frequency = semianually
Using the online bond price calculator, The bond price will be $1,162.89. The bond is sold at premium, since the par value is lesser than the bond price.
For Bond Y:
Face value = $1000
Yield to maturity (YTM) / market interest rate = 11%
Coupon rate = 9%
Years to maturity = 15 years
Compounding frequency = semianually
Using the online bond price calculator, The bond price will be $854.66. The bond is sold at a discount , since the par value is greater than the bond price.
Select the correct answer. The top of a ladder is 10 meters from the ground when the ladder leans against the wall at an angle of 35.5° with respect to the ground. If the ladder is moved by x meters toward the wall, it makes an angle of 54.5° with the ground, and its top is 14 meters above the ground. What is x rounded to the nearest meter?
A. 7 meters B. 4 meters C. 3 meters D. 1 meters
Answer:
4 trust me
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
trust lol
Simplify 2a^2b^3(4a^2+3ab^2-ab)=?
A. 8a^4b^5+3a^3b^5-2a^3b^4
B. 8a^4b^3+6a^3b^5-2a^3b^4
C. 8a^4b^5+3a^3b^5-2a^3-ab=
Simplify 12-(-8)x4=? A. 44 B. -20 C. 16 D. 80
One day when Terry went to school the temperature outside was -15 degrees Fahrenheit. In Terry's classroom the temperature was 68 degrees Fahrenheit. How many more degrees was it inside the building than outside? A. +53 degrees B. +83 degrees C. -53 degrees D. -83 degrees
If Juan purchased thee 24-ounce cans of motor oil for 410.80, how much did he pay per ounce? A. $3.60 B. $.45 C. $2.59 D. $.15
Simplify (x^2+16)(x^2-16)=? A.x^4-32 B. x^4+256 x^4-256 D. x^4+32
If the value of b is 7, then what is the value of the expression -3b^2+25=?
A. 122
B .17
C. 172
D. -122
Answer:
1.) 8a⁴b³ + 6a²b³ab² - 2a²b³ab
2.) A. 44
3.) B. +83 degrees
4.) D. $0.15
5.) x⁴ - 256
6.) D. -122
7.) -6r²s⁴t³
Step-by-step explanation:
1.) To simplify, we simply multiply/distribute and then combine like terms.
2.) To simplify, we use Order of Operations BPEMDAS to solve.
3.) To find, we simply subtract 68 and -15 to get +83 as our answer.
4.) To find, we simply multiply 3 by 24 to get 72, then divide by $410.80 to get $0.15 as our answer.
5.) To expand/simplify, simply use Difference of Squares to get C. as our answer.
6.) To find the value, simply plug in 7 for b to get -122 as our answer.
7.) To find the result, remember that when you divide exponents, you subtract the powers.
Joe had 21 pennies, but then he lost 11 pennies. His friend gave him 5 more pennies. How many pennies does Joe have now?
Answer:
15 pennies
Step-by-step explanation:
lost means subtract and gave him means add
21 -11 +5
15
Answer:
15 pennies
Step-by-step explanation:
You can start by saying that after losing 11 pennies from his original amount it is 21-11, which equals to 10.
THen the question says that his friend gives him an additional 5 pennies, which is shown by 10+5=15
THerefore, all you had to do was use the information given and add or subtract the number of pennies from the original.
Answer: 15 pennies
Hope this helped
Someone please help please
Answer:
-7x + 2y - 2z.
Step-by-step explanation:
Using the distributive property, you basically have...
-1 * 7x + -1 * -2y + -1 * 2z = -7x + 2y - 2z.
Hope this helps!
Hi, I’m really struggling, if anyone knows, please could you help?
Answer: a) 26
Step-by-step explanation:
-a would be because as you can see there is a pattern of sticks, so what i did was count up the sticks and i found that there was 6 in the first one. So i counted the second one and it was 10 so i realized that all i had to do was add 4.
and for b i think when it says n it means the nth term which is 4 so i think it means pattern 4 which would be 18 so try that out
hope this helped x
explain me step by step plz
Answer:
28
Step-by-step explanation:
We know that the heights and bases of all of the parallelograms will be the same because they are equal, therefore, since the height of 2 parallelograms is 14, the height of one parallelogram is 14 / 2 = 7. Since the areas of all of the parallelograms are congruent, the area of one parallelogram is 308 / 4 = 77. The parallelogram area formula is A = bh where A, b and h are area, base and height respectively and we know both the area and height so we need to solve for b. Doing so we get 77 = b * 7 so that means b = 11. The length of y is two bases + 6 and since we know the base is 11, y = 11 * 2 + 6 = 22 + 6 = 28.
Answer:
28 cm
Step-by-step explanation:
The 4 parallelograms are congruent.
The height and base of each parallelogram are equal.
[tex]h=\frac{14}{2}[/tex]
[tex]h=7[/tex]
Area of each parallelogram:
[tex]A=\frac{308}{4}[/tex]
[tex]A=77[/tex]
Apply the formula for the area of a parallelogram.
[tex]A=bh[/tex]
[tex]b=base\\h=height[/tex]
Solve for base.
[tex]77=b(7)[/tex]
[tex]\frac{77}{7} = b[/tex]
[tex]11=b[/tex]
The sum of 2 bases of the 2 parallelograms and 6 centimeters is the value of y.
[tex]y=11+6+11[/tex]
[tex]y=28[/tex]
PLEASE HELP A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8 An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome. What is the probability of drawing one blue marble?
Answer:
15/64
Step-by-step explanation:
3 blue
5 red marbles.
since the marble is put back in, the denominator will not change,
so to draw ONE marble, the chances would be
chances of picking a blue marble 3/8
chances of picking a red marble 5/8
3/8 * 5/8 - 15/64
please mark me brainly.
Answer:
The probability of drawing one blue marble is 3/8 because you have three blue marbles out of a total of eight marbles. The probability of drawing a second blue marble is also 3/8 but since you have to draw both marbles consecutively you have to multiply the probabilities of drawing each marble. So,
3/8•3/8 = 9/64.
Now you need to change it to a percent.
We do this by
9/64 x 100 = 14% approx
Point AAA is at {(-6,-5)}(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and point CCC is at {(4,0)}(4,0)left parenthesis, 4, comma, 0, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that the ratio of ABABA, B to BCBCB, C is 2:32:32, colon, 3.
Answer:
B(-2,-3).
Step-by-step explanation:
The given points are A(-6,-5) and C(4,0).
We need to find the coordinates of point B on segment AC such that AB:BC=2:3.
It means point B divides the line segment AC in the ratio of 2:3.
Section formula: If a point divide a line segment in m:n, then
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Using section formula, the coordinates of point B are
[tex]B=\left(\dfrac{2(4)+3(-6)}{2+3},\dfrac{2(0)+3(-5)}{2+3}\right)[/tex]
[tex]B=\left(\dfrac{8-18}{5},\dfrac{0-15}{5}\right)[/tex]
[tex]B=\left(\dfrac{-10}{5},\dfrac{-15}{5}\right)[/tex]
[tex]B=\left(-2,-3\right)[/tex]
Therefore, the coordinates of point B are (-2,-3).
Answer:
Therefore, the coordinates of point B are (-2,-3).
Step-by-step explanation:
Help please I’m not good at rational functions.
Answer:
See below.
Step-by-step explanation:
[tex]\frac{6z^2-12z}{4z^2-16z+16} +\frac{3z}{z^2-z-2} \\\\[/tex]
First, factor the numerators and the denominators:
[tex]=\frac{6z(z-2)}{4(z^2-4x+4)}+\frac{3z}{z^2-z-2}\\=\frac{6z(z-2)}{4(z-2)^2}+\frac{3z}{(z-2)(z+1)}\\=\frac{3z}{2(z-2)}+\frac{3z}{(z-2)(z+1)}[/tex]
Now, make the two denominators equivalent. To do this, we can multiply the first term by (z+1) and multiply the second term by 2. This will give us:
[tex](\frac{z+1}{z+1} )(\frac{3z}{2(z-2)})+(\frac{2}{2})(\frac{3z}{(z-2)(z+1)})\\=\frac{3z(z+1)}{2(z-2)(z+1)}+\frac{6z}{2(z-2)(z+1)} \\[/tex]
Now, combine them since they have a common denominator:
[tex]=\frac{3z^2+3z+6z}{2(z-2)(z+1)}\\ =\frac{3z^2+9z}{2(z-2)(z+1)} \\=\frac{3z(z+3)}{2(z-2)(z+1)}[/tex]
This cannot be simplified further.
the focal length F of a lens made by combining two lenses of focal length U and V is given I/F=I/U+I/V
A.make V the subject of the formula.
B.find V when F=6,U=10
Answer:
a). [tex]V=\frac{U.F}{U-F}[/tex]
b). V = 15 units
Step-by-step explanation:
Focal length F of a lens made by combining two lenses of different focal lengths U and V will be,
[tex]\frac{1}{F}=\frac{1}{U}+\frac{1}{V}[/tex]
A). By solving the given formula,
[tex]\frac{1}{V}=\frac{1}{F}-\frac{1}{U}[/tex]
[tex]\frac{1}{V}=\frac{U-F}{U.F}[/tex]
[tex]V=\frac{U.F}{U-F}[/tex]
B). If F = 6 and U = 10 then we have to find the value of V.
By substituting the given values in the formula,
[tex]V=\frac{6\times 10}{10-6}[/tex]
[tex]V=\frac{60}{4}[/tex]
V = 15 units
Therefore, focal length (V) of the lens = 15 units
The number of traffic accidents that occur on a particular stretch of road during a month follows a Poisson distribution with a mean of 8.1. Find the probability that the next two months will both result in three accidents each occuring in this stretch of road
Answer:
P = 0.00072
Step-by-step explanation:
If the number of traffic accidents that occurs follows a Poisson distribution, the probability that x traffic accidents occurs is:
[tex]P(x)=\frac{e^{-m}(m^x)}{x!}[/tex]
Where m is the mean. So replacing m by 8.1 accidents/monts, we get:
[tex]P(x)=\frac{e^{-8.1}(8.1^x)}{x!}[/tex]
So, the probability that the next two months will both result in three accidents each occurring in this stretch of road is calculated as:
[tex]P(3)*P(3)=\frac{e^{-8.1}(8.1^3)}{3!}*\frac{e^{-8.1}(8.1^3)}{3!}\\P(3)*P(3)=0.00072[/tex]
A school is painting its logo in the shape of a triangle in the middle of its sports field. The school wants the height of the triangle to be 4 feet. The area of the logo must be at most 14 square feet. (The school doesn't want to buy more paint.) Write an inequality that describes the possible base lengths (in feet) of the triangle. Use b for the base length of the triangular logo.
Can anyone help me with this question
Answer:
3x + 7
Step-by-step explanation:
1. Distribute the negative into the parentheses.
6x - (3x - 7)
6x - 3x + 7
2. Simplify.
6x - 3x + 7
= 3x + 7
7
81 - - א 3
= 81
27
Find the value of q.
Please
Answer:
q = -7
Step-by-step explanation:
3 ^ -q * 1/27 = 81
Rewriting each as a power of 3
3 ^ -q * 3^ -3 = 3 ^4
We know that a^b * a^ c = a^ ( b+c)
3 ^ (-q -3) = 3 ^4
The bases are the same so the exponents are the same
-q-3 = 4
Add 3 to each side
-q-3+3 = 4+3
-q =7
Divide by -1
q = -7
A school allots £2500 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £45 each and are on offer for 1/5
off.
A train ticket for the day will cost £20 each.
If 3 teachers and the maximum number of students attend, how many students go on the trip?
Answer:
Maximum number of students=41
Step-by-step explanation:
Total allotted=£2500
Regular theatre Tickets=£45
1/5 off= 4/5*45
=£36
Train tickets=£20 each
Total cost per person=£36+£20
=£56
If 3 teachers and maximum number of students attend
Let x=maximum number of students
Therefore
£56(x+3) <or= £2500
56x+168 <or= 2500
56x <or= 2500-168
56x <or= 2332
x <or= 2332/56
x<or=41.643
Maximum number of students that will go on the trip=41 students
Total money left over for the school=
Total allotted - cost per person multiplied by number of teacher+students
=2500 - 56(3+41)
=2500-56(44)
=2500-2,464
=£36
linear equations: c+2c+12=75
Answer:
c = 21
Step-by-step explanation:
c + 2c + 12 = 75
Combine like terms.
3c + 12 = 75
Subtract 12 from both sides.
3c = 63
Divide 3 on both sides.
c = 21
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second.
Answer:
It makes 360 / 60 = 6 revolutions per second. 6 revolutions is 12π radians.
1.01 LC)Look at the following numbers: − 4, −1, 0, 4 Which pair of numbers has a sum of 0?
Answer:
-4 + 4
Step-by-step explanation:
It is -4 + 4 because if you imagine on a number line, you go left 4 (since it is negative) and add 4, so you go to the right 4, which leaves to 0.
Or, you can think of it like this:
+4 - 4
= 4 - 4
= 0.
I hope this helps. Sorry if I was wrong
Answer:
the answer would be -4 and 4 thess two numbers has a sum of 0
Which is the correct way to model the equation 5 x + 6 = 4 x + (negative 3) using algebra tiles? 5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side 6 positive x-tiles and 5 positive unit tiles on the left side; 3 negative x-tiles and 4 positive unit tiles on the right side 5 positive x-tiles and 6 negative unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side 5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 positive unit tiles on the right side
Answer:
answer a is correct
Step-by-step explanation:
Answer: A. 5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side
Step-by-step explanation: On Edge!!!!!!!!!!!
A relay with n laps was run by 4 people. The 1st runner ran half the laps. The 2nd runner ran half the number of laps the 1st runner ran. The 3rd runner ran half the number of laps the 2nd runner ran. The remaining laps were completed by the 4th runner. How many laps did the 4th runner complete?
Answer:
n/16
Step-by-step explanation:
I am pretty sure.
please mark me brainliest!
The 4th runner completed n/16 lap.
We have given that,
A relay with n laps was run by 4 people. The 1st runner ran half the laps. The 2nd runner ran half the number of laps the 1st runner ran. The 3rd runner ran half the number of laps the 2nd runner ran. The remaining laps were completed by the 4th runner.
We have to determine How many laps the 4th runner completed.
What is the probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Therefore we have given total relay in n laps
There are 4 people and 4th lap was completed by the 4th runner.
Therefore the 4th runner completed the n/16 lap.
To learn more about the probability visit:
https://brainly.com/question/24756209
#SPJ2
The sides of a square are three to the power of two sevenths inches long. What is the area of the square? (
Answer:
Step-by-step explanation:
The side of the square = 3^2/7
Use the law of exponents . If the power is a fraction, that means it is
3^2/7 = 3^2 x 1/7 = 7√9
To find the area you multiply this by itself.
This gives you 1.87...
Hope this helps
Help please !!!!!!!!!!!!!!!!
Answer:
x = 6
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, thus
6x - 15 = x + 15 ( subtract x from both sides )
5x - 15 = 15 ( add 15 to both sides )
5x = 30 ( divide both sides by 5 )
x = 6
Answer:
X=6 Read explination
Step-by-step explanation:
A parallelogram has the perrimeter of both opposite sides equal
So we know that
6x-15=x+15
This is because in a parrellelogram the opposite sides are equal
so breaking it down
6x-15=x+15
(add 15 to both sides)
6x=x+30
(subtract x from both sides)
5x=30
(divide both sides by 5)
x=6
helpp help meeee plsss pls
Answer: w might be 9
Step-by-step explanation: the length of each sides of the smallest shaped polygon is 3 times less( like 6 in the biggest shape, it is 2 in the smallest one= 6/3:2) x might be 12 . And in other ways we can say that each length of the biggest shaped polygon is 3× the length of the smallest one.
Answer:
9solution,
The two polygons are same.
[tex] \frac{4}{x} = \frac{y}{15} = \frac{3}{w} = \frac{2}{6} = \frac{z}{4} [/tex]
[tex] \frac{3}{w} = \frac{2}{6} \\ or \: 2w = 3 \times 6( \: cross \: multiplication) \\ or \: 2w = 18 \\ or \: w = \frac{18}{2} \\ w = 9[/tex]
Hope this helps...
Good luck on your assignment..
Between July 1, 2000 and July 1, 2007, the estimated population of a city declined from 3487 to 2653. What was the percent decrease to the nearest tenth?
Answer:
23.9% decrease
Step-by-step explanation:
The percentage change is calculated from ...
pct change = ((new value)/(old value) -1) × 100%
= (2653/3487 -1) × 100% = -0.2392 × 100%
pct change = -23.9% . . . . rounded to tenths
The population decreased by 23.9% in the given time period.