Answer:
35+5.5w>90
Step-by-step explanation:
35+5.5x>90
it would be this sign > but with a line under it..the amount of points she racks up can be greater or equal to 90
Each month, Megan babysits for a total of 50 hours. How many hours will she spend
babysitting in a year?
600 hours
Step-by-step explanation:
I year = 12 months
I month = 50 hours
Total = 50×12
= 600
Evaluate the expression for the given value.
2w+2l, when w=7, l=5
Answer:
2w+2l.
2(7)+2(5).
14+10.
24.
You plan to retire in 30 years. After that, you need $75,000 per year for 20 years (first withdraw at t=31 ). At the end of these 20 years, you will enter a retirement home where you will stay for the rest of your life. As soon as you enter the retirement home, you will need to make a single payment of 2 million. You want to start saving in an account that pays you 8% interest p.a. Therefore, beginning from the end of the first year (t=1), you will make equal yearly deposits into this account for 30 years. You expect to receive $350,000 inheritance at t=30 from your late uncle and you will deposit this money to your retirement account. What should be the yearly deposits?
6587.25
7198.40
8066.36
8744.81
The yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.
To calculate the yearly deposits needed, we can use the concept of future value of an annuity. The future value formula for an annuity is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV = Future value of the annuity
P = Yearly deposit amount
r = Interest rate per period
n = Number of periods
In this case, the future value needed is $2 million, the interest rate is 8% (0.08), and the number of periods is 30 years. We need to solve for the yearly deposit amount (P).
Using the given formula:
2,000,000 = P * [(1 + 0.08)^30 - 1] / 0.08
Simplifying the equation:
2,000,000 = P * [1\(.08^3^0 -\) 1] / 0.08
2,000,000 = P * [10.063899 - 1] / 0.08
2,000,000 = P * 9.063899 / 0.08
Dividing both sides by 9.063899 / 0.08:
P = 2,000,000 / (9.063899 / 0.08)
P ≈ 2,000,000 / 113.298737
P ≈ 17,650.23
Therefore, the yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.
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(-155)^4/19^2 : (155/19)^3
Answer:
\( \frac{ { - 155}^{4} }{ {19}^{2} } \div { (\frac{155}{19} }) ^{3} = \\ \frac{ { - 155}^{4} }{{19}^{2} } \div \frac{ {155}^{3} }{ {19}^{3} } = \\ \frac{ { - 155}^{4} }{ {19}^{2} } \times \frac{ {19}^{3} }{ {155}^{3} } = \\ - 155 \times 19 = - 2945\)
what is a therom in math
Step-by-step explanation:
A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguements. Im general,a theorem is a embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem th be correct is called a proof
The table shows the ratio of caramel corn to cheddar corn in a bag. What is the constant of proportionality?
Cheddar Corn Caramel Corn
10 15
20 30
30 45
Answer:
2
Step-by-step explanation:
Simplify:
8x+3(x+5)−5(x−4)
Answer:
6x+35
Step-by-step explanation:
Answer:
6x + 35
Step-by-step explanation:
8x + 3x + 15 - 5x + 20
11x - 5x + 15 + 20
6x + 35
Please mark as Brainliest!!!please answer and i will mark you as brainliest
Answer:
The answer will be B. V^6
The man paid $21 for a book bag that was taxed 20%. What was the original price of the bag?
Answer:
15
Step-by-step explanation:
Problem 4
Michener Company’s standard labor cost per unit of output is $20 (2 hours * $10 per hour). During August, the company incurs 2,100 hours of direct labor at an hourly cost of $10. 50 per hour in making 1,000 units of finished product. Compute the total, price, and quantity labor variances
The total labor variance = $2,050 favorable, the price variance = $2,100 unfavorable, and the quantity variance = $1,000 favorable.
The total labor variance formula is,
Total labor variance => The actual labor cost - The standard labor cost
To use actual labor cost, first, we need to find its value
Actual labor cost = Actual hours worked x hourly rate
= 2,100hr x $10.50 per/hr
= $22,050
now,
Standard labor cost = Standard hours x Standard hourly rate
= 1,000 units x 2 hours per unit x $10
= $20,000
now,
total labor variance = $22,050 - $20,000 => $2,050(favorable)Price variance = ( Actual hourly rate - Standard hourly rate) x Actual hours worked
Price variance = ($10.50 - $10) x 2,100hr => $2,100(unfavorable)Quantity variance = (Actual hours worked - Standard hours) x Standard hourly rate
Standard hours = 1,000units x 2hr => 2,000hr
Quantity variance = (2,100 - 2,000) x $10 => $1,000(favorable)The total labor variance = $2,050 favorable, the price variance = $2,100 unfavorable, and the quantity variance = $1,000 favorable.
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What is Polynomial Function
Answer:
A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.
Step-by-step explanation:
plz add it as brainliest
Answer:
A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation ...
Step-by-step explanation:
Add theother person as brainly
A jar contains 22 marbles, of which 5 are blue, 2 are red, and the rest are green. What is the ratio of green marbles to all marbles?
Answer:
The ratio of the green marbles to all the marbles will then be;
\(15\colon22\)Explanation:
Given that;
A jar contains 22 marbles.
5 are blue and 2 are red.
The number of green, which is the remaining marbles is;
\(\begin{gathered} G=22-(5+2)_{} \\ G=22-7 \\ G=15 \end{gathered}\)So, there are 15 green marbles.
The ratio of the green marbles to all the marbles will then be;
\(15\colon22\)Or
\(\frac{15}{22}\)Help please I am stuck
Answer:
Prime numbers:
11, 61, 43, and 29.
Step-by-step explanation:
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.
For example:
13 has only two factors, itself and 1. So, it is a prime number.
4 has three factors, itself, 1, and 2. So, it is not a prime number.
Your other answers are correct.
Hope this helped!
New York City is 14.5 inches from Los Angeles on a map. The scale on the map shows 2 inches = 350 miles. How many miles apart are New York City and Los Angeles?
By applying the correspondent change of units, we will see that the distance between New York and Los Angeles is 2,537.5 mi
How to do a change of scale.
So we do know that in the map, every 2 inches represents 350 miles. This is the scale of the map and can be written as:
2 in = 350 mi
Dividing both sides by 2 we get:
1 in = 175mi
We know that, in the map, the distance from New York to Los Angeles is 14.5 in, using the above relation we have:
14.5 in = (14.5)*175 mi = 2,537.5 mi
So the distance from New York to Los Angeles is 2,537.5 miles.
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The miles between New York City and Los Angeles is 2,537.50 miles.
What is a scale drawing?A scale drawing is a smaller representation of a larger image. The map is a scale drawing of the United States. A scale drawing is reduced by constant dimensions.
How to determine the actual distance from New York City and Los AngelesActual distance = (14.5 x 350) / 2 = 2,537.50 miles
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HELP PLEASE
Find the value of y. Round to
the nearest tenth.
у
42°
85°
31
Answer: Therefore, the y value rounded to the nearest tenth is 47.9.
Step-by-step explanation:
To find the value of y, you can use the trigonometric function tangent (tan). First, find the angle between the y-side and the hypotenuse by subtracting the given grades from 180°:
180° - 42° - 85° = 53°
Then, use this angle and the opposite side (31) to solve for y:
tan(53°) = y/31
y = 31 * tan(53°)
y ≈ 47.9
Therefore, the value of y rounded to the nearest tenth is 47.9.
Two similar shapes have a pair of corresponding sides which are easily measurable.
The smaller shape's side has a length of 4m, and the larger shape has a side length of
5m. If the area of the smaller shape is 80m², what is the area of the larger shape?
Answer:
hi. im looking for fr33 p01nts. hope u understand.
Step-by-step explanation:
Answer:
125 m²
Step-by-step explanation:
Given sides of similar shapes in the ratio a : b then
ratio of area = a² : b²
Here ratio of sides = 4 : 5 , so
ratio of areas = 4² : 5² = 16 : 25
let x be the area of the larger shape then by proportion
\(\frac{16}{80}\) = \(\frac{25}{x}\) ( cross- multiply )
16x = 2000 ( divide both sides by 16 )
x = 125
Then area of larger shape is 125 m²
the difference of 4 from 12
Answer:
thw
the difference of 4 from 12
= 8
in+the+united+states,+nearly+all+18-+to+29-years+olds+(89%)+agreed+with+the+statement+__________.
which neurotransmitter is released from the parasympathetic ganglion
The amount of neurotransmitter released from the parasympathetic ganglion is acetylcholine.
The parasympathetic nervous system is part of the autonomic nervous system which helps to regulate involuntary bodily functions such as heart rate, digestion and other processes.
The parasympathetic nervous system is responsible for calming the body and restoring it to its resting state. Parasympathetic ganglia are clusters of neurons that receive and transmit nerve signals from the brain to the organs and muscles.
The amount of neurotransmitter released from these ganglia is acetylcholine, which helps to slow the heart rate and promote relaxation.
The parasympathetic nervous system is part of the autonomic nervous system which helps to regulate involuntary bodily functions such as heart rate, digestion and other processes.
The parasympathetic nervous system is responsible for calming the body and restoring it to its resting state. Parasympathetic ganglia are clusters of neurons that receive and transmit signals from the brain to the organs and muscles.
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Find the equation of the line shown.
Answer:
I think that it is y= -2x +9
Step-by-step explanation:
I am sure about the slope but the y-intercept (9) might be wrong.
Harri, Salim and Luke are playing a game with marbles.
Harri has some marbles.
Salim has three times as many marbles as Harri.
Luke has 4 marbles less than Salim.
In total they have 52 marbles.
the number of marbles Harri has the number of marbles Luke has = 1: p
Work out the value of p.
Asap help
Answer:
p=2.5
Step-by-step explanation:
H:S:L
x:3x:3x-4
x+3x+3x-4=52
7x-4=52
7x=56
x=8
H:S:L
8:24:20
H:L
8:20
1:2.5
so p=2.5
Define the domain of the following:
{-2, -1, 0, 2, 5}
{-2, -1, 0, 1, 2, 3, 4, 5}
All Real Numbers
{3, -1, 3, 1, 2}
The domain of the relation in the graph is:
{-2, -1, 0, 2, 5}
How to define the domain for the graph?A relation maps elements from one set (the domain) into elements from another set (the range).
Such that the domain is represented in the horizontal axis.
In the graph, we can see the points:
{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}
The domain is the set of the first values of these points, then the domain is:
{-2, -1, 0, 2, 5}
The correct option is the first one.
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2.
Archbridge Bus Company have a very small road on the exit of their bus garage. This means they need to be
aware of when this road will be used by multiple buses.
The 157 bus leaves every 55 minutes.
The 183 bus leaves every 77 minutes.
All buses start service at 9:00.
Apart from when the buses leave at 9:00, at what time will both be leaving the garage at the same time?
Answer:
3:25
Step-by-step explanation:
55=11*5
77=11*7
LCM = 11*7*5
=385 min
therefore
9:00+6:25 = 15:25 i.e 3:25 in time
The measure of variability easiest to compute, but seldom used as the only measure, is the _____
The measure of variability easiest to compute, but seldom used as the only measure, is the range.
What is the range of values?The range is the term that is used to refer to the difference that lies between the highest value and the lowest value in a data set while computing a statistical data.
The measures of variability are 4 in number. These are
The rangeThe interquartile rangethe standard deviationThe variance.Hence we can conclude that The measure of variability easiest to compute, but seldom used as the only measure, is the range.
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Help meeeeeeeeeeeeeee
Answer:
125cm^3
Step-by-step explanation:
Volume is Length times Width times Height
So the Volume of your cube would be 5cm x 5cm x 5cm = 125cm^3
Answer:
mc^2
i think this is the right answer
Step-by-step explanation:
7- (-11) =
I need the answer to this question
Answer:
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Since two negative sign = positive sign
Therefore,
7 + 11 = 18
hope it helps
Please help this is late work for geometry and I keep getting this awnser wrong
Answer:
w = 12°
Step-by-step explanation:
Angle J = Angle H
Angle K = Angle I
So lets find the sum of the entirety of angles
360° = 2w + 34° + 2w + 34° + 4w + 74° + 4w + 74°
360° = 12w + 68° + 148°
360° = 12w + 216°
Subtract 216° from both sides
360° - 216° = 12w + 216° - 216°
144° = 12w
Divide both sides by 12
144°/12 = 12w/12
12 = w
w = 12°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
58°Step-by-step explanation:
Consider that adjacent angles are supplementary in any parallelogram (including rhombus).
m∠J + m∠K = 180°(2w + 34) + (4w + 74) = 180Solve for w:
6w + 108 = 1806w = 72w = 12Find the value of ∠J:
m∠J = 2w + 34 = 2(12) + 34 = 58A meteorologist in Seattle says there is a 75% chance of rain. A meteorologist in Tacoma says there is a 1/4 chance of rain. In which city is it more likely to rain?
A. Seattle
B. Tacoma
C. Batesville
D. Both have the same chance
match the unit rate to unit price
In a circle, an angle measuring 2.4 radians intercepts an arc of length 24.4. Find the radius of the circle to the nearest
The radius of the circle is approximately 10.17 units (rounded to two decimal places).
To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:
arc length = radius x central angle
In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:
24.4 = r x 2.4
Solving for r, we get:
r = 24.4 / 2.4
r ≈ 10.17
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