Answer:
the answer is 118
Step-by-step explanation:
so you basically want to add the numbers first but not 144 you want to see if those numbers add up to 144 or if its not enough, then you will need to subract 46 and 144 for get your answer! Btw if this is wrong im sorry but i hope it helps you.
To offer scholarships to children of employees, a company invests $10,000 at the end of every 3 months in an annuity that pays 8% compounded quarterly.
a) how much will the company have in scholarship funds at the end of ten years?
b) find the interest
The amount the company will have in scholarship funds at the end of ten years is $604,019.83.
The interest is $204,019.83.
How do we calculate scholarship funds amount and interest?a) The amount the company will have in scholarship funds at the end of ten years can be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:
FV = P * (((1 + r)^n - 1) / r) ................................. (1)
Where,
FV = Future value or the scholardhip amount after 10 years =?
P = Quarterly payment or payment at the end of every 3 months = $10,000
r = Quaterly interest rate = 8% / 4 = 2%, 0.02
n = number of periods = number of quaters in a year * 10 = 4 * 10 = 40
Substituting the values into equation (1), we have:
FV = $10,000 * (((1 + 0.02)^40 - 1) / 0.02)
FV = $604,019.83
b) The interest can be found as follows:
Total payment = P * n = $10,000 * 40 = $400,000
Interest = FV - Total payment = $604,019.83 - $400,000 = $204,019.83
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A wire is 32 cm long. The wire is cut into 2 pieces, each piece is bent and formed into the shape of a square
A(x) =
The side of the square shape is calculated as 4cm.
What is meant by square?A square is a subset of a rectangle (an equilateral rectangle) and a subset of a parallelogram (an equilateral and equiangular one).
A square has 4 axes of symmetry and two finite diagonals that are equal (as with any rectangle). A square divided by a diagonal yields two right triangles.As, a wire is 32-centimetre-long,
If we cut this same wire in half, the result should be 1/2 of total of
32/2 = 16
In addition, the square has four equal sides.
16/4 = 4
As a result, the square's sides should be 4 cm.
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The complete question is-
A wire is 32 cm long. The wire is cut into 2 pieces, each piece is bent and formed into the shape of a square. Calculate the side of square.
Give two different names for the line shown in the
diagram below.
Answer: segments and rays
Step-by-step explanation:
Please help I give 20 points please no fake answers =/
Answer:
1 4/5
Step-by-step explanation:
PLS ANSWER ASAP, 50 POINTS + BRAINLIEST (pls give explanation aswell.
Answer:
pet care will be cheaper
Step-by-step explanation:
pet care may have a higher boarding per day of 2+ more than fido's but the bathing is way higher in fido going 12+more than pet care.its mean ur paying even more in fidos by a total per day of 55 while pet care Per day is 45
boarding(in total)
(week-long vacation)
pet care=30x7=210
fidos=28x7=196
bathing (in total)
pet care=15x7=105
fidos=27x7=189
total cost
pet care=315
fidos=385
Which of these equations represent functions where x is the input and y is the
output
y = 2x-A
y = 2-B
y = 2y-C
x+y = 2-D
x-2-E
Answer:
y=2x-A
Step-by-step explanation:
Need help with math bell ringer
Answer:
y = 2
Step-by-step explanation:
Slope that passes through two points, (10, y) and (3, 4) = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex].
Where,
[tex] (10, y) = (x_1, y_1) [/tex]
[tex] (3, 4) = (x_2, y_2) [/tex]
m = -²/7
Plug in the values
[tex] \frac{-2}{7} = \frac{4 - y}{3 - 10} [/tex]
[tex] \frac{-2}{7} = \frac{4 - y}{-7} [/tex]
Cross multiply
[tex] -2*-7 = 7(4 - y) [/tex]
[tex] 14 = 28 - 7y [/tex]
[tex] 7y = 28 - 14 [/tex]
[tex] 7y = 14 [/tex]
Divide both sides by 7
y = 2
What is the volume of the cylinder below?
9^6^8
O A. 432pi units3
B. 216pi units3
O C. 324pi units3
D. 288pi units3
Answer:
Step-by-step explanation:
288pi units3
The volume of the cylinder in the image given is: 288pi units³.
What is the Volume of a Cylinder?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
we know that,
Volume of a cylinder = πr²h,
where:
r = radius of the cylinder
h = height
Given the following:
r = 6 units
h = 8 units
Volume of the cylinder = 288pi units³
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Need help wit dis question
Answer:
A
Step-by-step explanation:
you have to count the x and y variables so 1 is one up from the x and 2 right because its positive and 3 is right because its positive also if I get it wrong I'm sorry
Design a closed rectangular box of width w, length l, and height h. The sides of the box cost 1 cent/cm2 and the top and bottom cost 2 cent/cm2 . (a) Write an equation for cost (in cents) in terms of w, l, and h. Use lower case letters.
Answer:
Equation for cost (in cents) in terms of w, l, and h is 2h(w + l) + 4l*w
Step-by-step explanation:
We are given
A rectangular box with dimensions
Width = w
Length = l
Height = h
This needs to be visualized in 3D
First type of Sides of the box is made using the width and height
second type is made using length and height
Area of the 1st two sides = 2*w*h
Area of the 2nd type of sides = 2*l*h
Area of the top and bottom = 2*l*w
Cost for sides = 1cent/cm^2
Cost of the sides calculated = cost* Area= 1*(2*w*h+2*l*h)
= 2h(w + l)
similarly
cost of top and bottom = 2*2*l*w = 4*l*w
Total Cost = 2h(w + l) + 4l*w
You buy tomatoes in 25- pound cases. One batch of cobb salad requires 6 ounces of tomatoes. How many portions can be made with one shipment. Round down don't include parrial portions
The cost of 5 hats and 1 scarf is $47. The cost of 2 hats and 2 scarves is $40. How much does one hat cost?
Answer:
6.75
Step-by-step explanation:
h=hat, s=scarf
5h + 1s = $47 (equation 1)
2h + 2s = $40 (equation 2)
multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)
equation 3 minus equation 2, we get:
8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75
substitute h = $6.75 into equation 2 to find s,
2($6.75) + 2s = $40
$13.5 + 2s = $40
2s = $26.5
s = $13.25 ⇔ 1 scarf cost $13.25
John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. A 6-column table with 1 row. Column 1 is labeled Approximate Value with entry 100 dollars. Column 2 is labeled Exact Value with entry 75 dollars. Column 3 is labeled Error with entry 25 dollars. Column 4 is labeled Absolute Error with entry blank. Column 5 is labeled Ratio with entry blank. Column 6 is labeled Percent Error with entry blank. How much was the absolute error in his estimate? $ John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. A 6-column table with 1 row. Column 1 is labeled Approximate Value with entry 100 dollars. Column 2 is labeled Exact Value with entry 75 dollars. Column 3 is labeled Error with entry 25 dollars. Column 4 is labeled Absolute Error with entry blank. Column 5 is labeled Ratio with entry blank. Column 6 is labeled Percent Error with entry blank. How much was the absolute error in his estimate? $
Answer:200
Step-by-step explanation:
All you have to do is add.
Answer:
25
Step-by-step explanation:
because its simple math
anyways have an nice day
Every month, Theresa sets aside $410.60 of her paycheck to use as spending money. This month, she plans to use 2/5 of her spending money for groceries. How much money would Theresa have this month to spend on items other than groceries?
Answer:
246.36
Step-by-step explanation:
Which of the following is NOT a transformation?
Translation
Reflection
Rotation
Construction
Dilation
What are fractions? Plz help
A lawn is 10,000 sq. feet. Ken can mow 1/4 of the lawn in 1/5 of an hour. Katie can mow 3/5 of the lawn in 2/6 of an hour.
a) Who mows the entire lawn faster?
kate used a 30% off coupon to purchase a sweater. if she saved $14.40, what was the original price of the sweater?
Two factors are multiplied, and their product is 32.3046. One factor is a whole number. How many decimal places are in the other factor? Tell how you know.
Step-by-step explanation:
a whole number has 0 decimal places (after the decimal point, meaning on the right side of the decimal point).
so, all the decimal places (4) must come from the other factor.
a multiplication by a whole number is always a series of additions of the other factor with itself. if anything, such a multiplication eliminates decimal places. it does not create additional ones.
e.g.
3.06 × 5 = 15.3 (because it is actually 15.30, but trailing 0s don't have any value like leading 0s, and are normally skipped).
the increase in the decimal places happens by involving places with higher value : 1/10 has a higher value than 1/100, that has a higher value than 1/1000, and so on.
so, e.g. 0.2×9 = 1.8 (and not 0.18).
as it is 2/10 × 9 = 18/10 = 1.8
an addition cannot create suddenly new decimal places with lower value.
therefore, normally we would say the other factor has 4 decimal places.
but in reality, it is a I said above, the 4 decimal places of the result of the multiplication "come from the other factor".
we cannot say that the other factor has 4 decimal places, because it could have more, and the multiplication with the whole number removed some.
e.g. 3.6 × 5 = 18 (or 18.0).
so,
32.3046 could be 6.46092 × 5
when we think this through, the other factor could have infinitely many decimal places.
like 5/9 × 108 = 0.555555... × 108 = 60
or our number
32.3046 could be 0.2991166666... × 108
so, all we can say, the other factor must have at least 4 decimal places.
What is an equation of the line that passes through the points (0,6)and (-5,2) ? Put
your answer in fully reduced form
Given that,
Points are (0,6) an (-5,2).
To find,
The equation of line that passes through the given points.
Solution,
We have, x₁ = 0, x₂ = -5, y₁ = 6 and y₂ =2
The equation of line can be calculated as :
[tex]y-y_1=m(x-x_1)\\\\y-6=\dfrac{2-6}{-5-0}(x-0)\\\\y-6=\dfrac{-4}{-5}x\\\\y-6=\dfrac{4}{5}x\\\\5y-30=4x\\\\5y-4x=30[/tex]
So, the required equation is 5y-4x=30.
The Blacktop Speedway is a supplier of automotive parts. Included in stock are 5 speedometers that are correctly calibrated and two that are not. Three speedometers are randomly selected without replacement. Let the random variable
x
represent the number that are not correctly calibrated.
Complete the probability distribution table. (Report probabilities accurate to 4 decimal places.)
x=0,1,2,3
p(x)=
Find the mean of this probability distribution. (Appropriate rounding rules apply.)
mean =
The Probability distribution table is;
x P(x)
0 0.4167
1 0.5
2 0.0833
3 0
How to create probability distribution table?The speedometers are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
P(X = x) = h(x, N, n, k) = C_k,x * C_n - k, n - x)/(C_N,n)
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
In this question:
7 + 2 = 9 speedometers, which means that N = 9
2 are not correctly calibrated, which means that k = 2
3 are chosen, which means that n =3
Complete the probability distribution table.
Probability of each outcome.
P(X = 0) = h(0, 9, 3, 2) = 0.4167
P(X = 1) = h(1, 9, 3, 2) = 0.5
P(X = 2) = h(0, 9, 3, 2) = 0.0833
P(X = 3) = h(0, 9, 3, 2) = 0
Probability distribution table:
x P(x)
0 0.4167
1 0.5
2 0.0833
3 0
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The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
the real solutions are the ones that actually cross the x-axis.
so the real solutions are (-5, 0) (-1,0) (4,0) and (8,0)
If Alejandro walks 3 miles in 43 minutes, then how far will Austin walk in 93 minutes?
Answer:
Step-by-step explanation:
43min=3miles
93min=3*93=279/43
austin will walk 6.488miles for 93 minutes
Use slopes to determine if the lines -7x + 3y = 2 and -3x + 7y = 1 are perpendicular
The slopes of the given lines -7x + 3y = 2 and -3x + 7y = 1 are not perpendicular to each other .
The slope of a line is the ratio of how much y increases when x increases by a certain amount. Slope indicates the slope of the line, i.e. how much y increases as x increases. The slope is constant (the same) everywhere along the straight line. The slope intercept of the straight line is used to find the equation of the straight line. The slope intercept formula requires knowing the slope of the line and the intersection of the line with the y-axis. Consider a straight line with slope 'm' and y-intercept 'c'. The slope-intercept shape formula for a straight line with slopes 'm' and 'c' as y-intercept is given as y = mx + c.
We have given two equation of lines -7x + 3y = 2 ....(1) and -3x + 7y = 1 ....(2) 3y = 7x +2
y = 7x/3 +2
On comparing with slope intercept form y = mx + c , we get slope of equation (1) m₁ = 7/3
7y = 3x +1
y = 3x /7 +1
On comparing with slope intercept form y = mx + c , we get slope of equation (2) m₂ = 3/7
If the lines are perpendicular to each other , then their product of slope will be equal to -1 which is given by
m₁ × m₂ = -1
7/3 × 3/7 = -1
1 ≠ -1
Hence the given lines are not perpendicular to each other.
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I need help thank you
Answer:
[tex]4x^2-x+8[/tex]
Step-by-step explanation:
First expand [tex](x-8)^2[/tex].
[tex](x-8)(x-8)=x^2-16x+64[/tex]
Now Add:
[tex](x^2-16x+64)+(3x^2+15x-56)\\(x^2+3x^2)+(-16x+15x)+(64-56)=\\4x^2-x+8[/tex]
We want this:
3x^2 + 15x - 56 + (x - 8)^2
First, expand (x - 8)^2 using FOIL.
So, (x - 8)^2 = (x - 8)(x - 8).
(x - 8)(x - 8) = x^2 - 16x + 64.
We now add like terms.
3x^2 + 15x - 56 + x^2 - 16x + 64
4x^2 - x + 8
Done.
height of cylinder is 24 mm and 8 mm radius whats the volume
Answer:
4825.49 mm^3
Step-by-step explanation:
V = (pi)(r^2)(h)
(pi)(8^2)(24) = 4825.48632 (round) 4825.49
hopefully this is right i haven't done cylinders in a while lol
Please please help me!!
solve the system of equations.
{ x= 3y + 4
{3x - 9y = 12
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. There is one solution. The solution of the system is __ ( simplify your answer. Type an ordered pair.)
B. The solution set of the system {(x,y)| x = 3y+4}.
C. The solution set is ∅.
Answer:
infinite solution
Step-by-step explanation:
if substitute 3y+4 Into 3x your equation should be 3(3y+4)-9=12 then you multiply and combine like terms then your answer should be 12=12 which is a true statement meaning it has infinite solutions
Help pls :) (15 pts)
Answer:
the y is -2 and there's is no slope i think
Step-by-step explanation:
After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could be used to determine how many rocks George started with?
One-half x = 36 + 5
One-half (x minus 5) = 36
One-half (x + 5) = 36
One-half x + 5 = 36
Answer:
1/2 (x+5) = 36 should be the equation that is used to determine how many rocks George started with.
Step-by-step explanation:
Let 'x' be the number of rocks George had.
As George gave, after getting 5 new rocks, half of his rock collection to Susan which is = 36 rocks
It means after getting 5 new rocks George's total rocks = 72
Given that he gave half collection to Susan = 36
Thus, before inducting 5 new rocks Georg's total rocks were = 67
Thus,
1/2 (x+5) = 36 should be the correct equation.
solving
1/2 (x+5) = 36
Multiplying both sides by 2
1/2 (x+5) × 2 = 36 × 2
x+5 = 72
x = 72 - 5
x = 67
Thus, before getting 5 new rocks, the number of rocks George had = 67
Therefore,
1/2 (x+5) = 36 should be the equation that is used to determine how many rocks George started with.
Answer:
c
Step-by-step explanation:
select the correct answer
Answer:
a) We get [tex]\mathbf{A+B=x^2-2x+1}[/tex]
So, Is the result of A+B is a polynomial:Yes
b) We get [tex]\mathbf{A-B=6x^3-7x^2+2x-1}[/tex]
So, Is the result of A-B is a polynomial:Yes
c) We get [tex]\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}[/tex]
So, Is the result of A.B is a polynomial:Yes
Step-by-step explanation:
We are giving the polynomial equations:
[tex]A= 3x^2(x-1)\\B=-3x^3+4x^2-2x+1[/tex]
We need to find
a) A+B
[tex]A+B=3x^2(x-1)+(-3x^3+4x^2-2x+1)\\A+B=3x^3-3x^2-3x^3+4x^2-2x+1\\A+B=3x^3-3x^3-3x^2+4x^2-2x+1\\A+B=x^2-2x+1\\[/tex]
So, we get [tex]\mathbf{A+B=x^2-2x+1}[/tex]
So, Is the result of A+B is a polynomial:Yes
b) A-B
[tex]A-B=3x^2(x-1)-(-3x^3+4x^2-2x+1)\\A-B=3x^3-3x^2+3x^3-4x^2+2x-1\\A-B=3x^3+3x^3-3x^2-4x^2+2x-1\\A-B=6x^3-7x^2+2x-1\\[/tex]
So, we get [tex]\mathbf{A-B=6x^3-7x^2+2x-1}[/tex]
So, Is the result of A-B is a polynomial:Yes
c) A . B
[tex]A.B=3x^3(-3x^3+4x^2-2x+1)-3x^2(-3x^3+4x^2-2x+1)\\A.B=9x^6+12x^5-6x^4+3x^3+9x^5-12x^4+6x^3-3x^2\\A.B=9x^6+12x^5+9x^5-6x^4-12x^4+3x^3+6x^3-3x^2\\A.B=9x^6+21x^5-18x^4+9x^3-3x^2[/tex]
So, we get [tex]\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}[/tex]
So, Is the result of A.B is a polynomial:Yes