Answer:
12 cups
Step-by-step explanation:
There are 48 hours in two days.
48 · 2 = 96 ( 2 being fluid ounces per hour )
96 ÷ 8 = 12 ( 8 being fl oz in each cup )
I hope that this helped!!!
Ron is 25 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $4,123 for 20 years. If Ron contributes 10% of his monthly income to a 401(k) paying 5.5% compounded monthly, will he reach his goal for retirement given that his monthly income is 3,142.23? If he does not make his goal then state by what amount he will need to supplement his income. Round all answers to the nearest cent.a.Ron will meet his monthly goal of exactly $4,123 for retirement.b.Ron will meet his monthly goal of $4,123 for retirement with an excess of $125.34.c.Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.d.Ron will not make his monthly goal of $4,123 and will need $450.61 to supplement his monthly income when he retires.
Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.
What is Compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given monthly income of Ron is $3,142.23
Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.
Total amount he contribute in 40 years paying 5.5% compounded monthly is given by
interest rate(r) = 0.055/12
time period = 40 years = 480 months
Principal amount = $314.223
Future value = [tex]P(\frac{(1+r)^{n}-1 }{r} )[/tex]
Substitute, we get,
= 3142.23 [tex].10(\frac{(1+\frac{0.055)^{12.40}-1) }{12} }{\frac{0.055}{12} }[/tex]
Thus, future value is $547074.681009.
After retirement his monthly income when he has $547074.681009 amount.
P = (A.i/2)/(1-(1+i/12)⁻ⁿ)
Putting values, we get,
P = (547074.68×0.55/12)/1-(1+0.055/12)⁻²⁴⁰
P = $3763.25
He will receive a monthly income of $3763.25.
But given he will need a monthly income of $4,123 for 20 years, which is not met by Ron.
So, the amount he needs to supplement his monthly income when he retires by (4123-3763.25)= $359.74
Hence, Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.
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6.
3. Use the clues to determine
the number
I have 36 hundreds, 34 tens, and
7 ones. What number am I?
The number is 3947
It should be noted that 36 hundreds will be equal to:
= 36 × 100
= 3600
It should be noted that 34 tens will be:
= 34 × 10
= 340
7 ones will be:
= 7 × 1
= 7.
Therefore, the sum will be:
= 3600 + 340 + 7 = 3947
Answer:
3947
Step-by-step explanation:
n/4 = -11
what does the N =
Answer:
N = -44
Step-by-step explanation:
have a great day! :)
Answer:
n=44
Step-by-step explanation:
n/4=11/1
crossmultiply
n=4×11=44
What is an equation of the line that passes through the points (6, 2)and (-6, -8)
Answer:
Step-by-step explanation:
(-8 - 2)/(-6 - 6)= -10/-12= 5/6
y - 2 = 5/6(x - 6)
y - 2 = 5/6x - 5
y = 5/6x - 3
HELP PLEASE!!! WILL GIVE BRAINLIEST
Answer:
See below for answer
Step-by-step explanation:
Domain is the x-value in the ordered pair
Range is the y- value in the ordered pair
1. D = {3, 2, 1, 0} R = {-5, -4, -3, -2}
2. D = {-2, 0, 2, 4} R = {1, 2, 4, 6}
3. D = {10, 8, 6, 4} R = {-1, 2, 5, 8}
4. D = {-5, -3, -1, 1} R = {-5, -3, -1, 1}
5. D = {-4, -1, 2, 3} R = {4, 0, 4, 6}
100 POINTS IF U GET THIS RIGHT!
Answer:
9/8Step-by-step explanation:
Slope- intercept form:
y = mx + b, where m is the slopeThe line given:
y = 9/8x + 1/8This includes the slope, which is:
m = 9/8The rectangle PQRS is dilated by a scale factor of 34 first, and then reflected across the y-axis to form rectangle P'Q'R'S'.
What are the coordinates of the transformed rectangle P'Q'R'S'?
A.
P'(−1.25,−1.25), Q'(−5.25,−1.25), R'(−5.25,−3.25), S'(−1.25,−3.25)
B.
P'(−1.5,1.5), Q'(−4.5,1.5), R'(−4.5,3), S'(1.5,−3)
C.
P'(1.5,−1.5), Q'(4.5,−1.5), R'(4.5,−3), S'(1.5,−3)
D.
P'(−1.5,−1.5), Q'(−4.5,−1.5), R'(−4.5,−3), S'(−1.5,−3)
Answer:
The answer should be A.
Step-by-step explanation:
I'm strictly only going off the coordinates you gave relying on the information displayed by the question. Also, the coordinates are backwards, anyways if -5.25 portrays Q and R, it should be the correct answer. (This is simply an estimate, not a guaranteed answer because there is no graph presented.)
What are the places in decimals called.
Answer: the tenths place
Step-by-step explanation:
What is 3.50 rounded to the nearest whole ounce?
Answer:
4.00
Step-by-step explanation:
because it is rounding to the whole number
Answer
if 3.50 refers to ounces, it would round to 4.
Step-by-step explanation:
The answer for this lol thanks
Answer:
x times (x+1).
If it's wrong, then I'm an idiot.
Step-by-step explanation:
PLEASE I NEED HELP
The figure shows a quarter circle and an equilateral triangle. What is the area of the shaded part? Give your answer to 3 significant figures. (Take π = 3.14.)
Answer:
14.0
Step-by-step explanation:
First, find the area of the whole circle using the equation pi * r^2.
pi * (7^2) = 49pi
Then, to only get the area of a quarter of the circle, divide this number by 4.
49pi/4 = 38.485
Then, to get only the shaded region, you have to find the area of the triangle and subtract it from the area of the quarter circle. The area of the triangle is found using 1/2 * b * h.
1/2 * (7*7) = 24.5
Then subtract that number from the previous one.
38.485 - 24.5 = 13.985
You need to round this to 3 significant figures, so it would be 14.0.
Hope this helps
A boat can travel 16 Kilometers per hour in still water. The boat travels 15 kilometers down a river and then 15 kilometers up stream. The entire trip takes 5.5 hours. Which equation describes the current, c, of the river?
a)
[tex] \frac{16}{15 + c} + \frac{16}{15 - c} = 5.5 [/tex]
b)
[tex] \frac{5.5}{16 + c} + \frac{5.5}{16 - c} = 15 [/tex]
c)
[tex] \frac{5.5}{15 + c} + \frac{5.5}{15 - c} = 16 [/tex]
d)
[tex] \frac{15}{16 + c} + \frac{15}{16 - c} = 5.5[/tex]
Answer:
d)
Step-by-step explanation:
the sites of the boat alone is 16 km/h.
downstream and upstream the effective speed is then influenced plus and minus by the current.
the distance traveled is 15km.
as speed = distance/time
then distance / speed = distance / (distance/time) = time
and we know the time it takes : 5.5 hours.
so, only answer d uses the right values in the "right places".
The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
a. y = f(x + 3)
b. y = f(x – 3)
C. y + 3 = f(x)
d. y - 3 = f(x)
Answer:
C
Step-by-step explanation:
When
f(x+3) would indicate a Shift 3 units to the left
f(x-3) indicates a Shift 3 units to the right
y+3=f(x) indicates a Shift 3 units up
y-3=f(x) indicates a Shift 3 units down
Because the graph is shifted 3 units up, it would be y+3=f(x), which is option C
Mackenzi is buying school supplies. She needs to buy 30 writing utensils so that she doesn't run out during the year
but only has $20.90 saved up. If pencils are $0.35 and pens are $0.95 at the school store, how many of each could
she get if she spent all of her savings?
х
Answer the following questions. Round your answers to the nearest whole numbers.
How many pencils can she buy?
How many can she buy?
*Help ASAP please!*
She can buy 16 pens and 16 pencils.
Option A: 40 trash bags for $6.29 Option B: 24 trash bags for $3.89
Which is the better option. Explain step by step-by-step.
pls help!!
Dominick buys a package of soup mix that is 1.38 ounces. How many ounces are 6 packages of soup mix?
Answer:
8.28
Step-by-step explanation:
this is the answer because
.08*6= .48
.3*6= 1.8
1*6=6
.48+1.8 = 2.28
6+2.28=8.28
in spring 2017, data was collected from a random selection of sta 2023 students. one of the questions asked how many hours they had worked in the past 24 hours. for the 39 randomly selected upperclassmen, the sample mean was 0.61 and sample standard deviation was 2.32. for the 35 randomly selected underclassmen, the sample mean was 1.40 and the sample standard deviation was 2.65. what is the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen?
Step-by-step explanation:
Use the following information to answer the next 14 exercises: The mean age for all Foothill College students for a recent Fall term was 33.2. The population standard deviation has been pretty consistent at 15. Suppose that twenty-five Winter students were randomly selected. The mean age for the sample was 30.4. We are interested in the true mean age for Winter Foothill College students. Let X = the age of a Winter Foothill College student. n=
Simplify 7-2 + 2(4 divide 1/2)
Answer:
21
Step-by-step explanation:
5 + 16 = 21
Answer:
21
Step-by-step explanation:
hope it helps
What is the slope of the line that passes through the points (-9, 2) and
(1, 27)? Write your answer in simplest form.
Answer:
5/2
Step-by-step explanation:
Y(2)-Y(1)/ X(2)-X(1)
(27-2)/(1-(-9)
25/10
simplified=5/2
Ophelia has 5 flower less than Daisy. Together they have 20 flowers. How many flowers have each of them?
The sun of 3 less than 5 times a number and the number increased by 9 is 24. What is the number?
Answer:
the answer is 3
Step-by-step explanation:
5 x - 3 + x + 9 =24
6X + 6 = 24
6X =18
×=3
What are the coefficient terms and Constants of 10x + 5 + 3x + 1
Answer:
The Coefficients in this expression are 10 and 3, while the constants are 5 and 1.
Step-by-step explanation:
Coefficients = The number that is in front of the variable.
Constant = Any number without a variable.
(Variables are the letters that you may find in an equation or function.)
Hope this helps you :)
Answer:
The coefficient are 10 and 3
The constants are 5 and 1
Step-by-step explanation:
A coefficient is the number in front of any known term.
A constant is a number by itself.
So the coefficient are 10 and 3
The constants are 5 and 1
Let B be the basis of P3 consisting of the Hermite polynomials in Exercise 21, and let p.t / D 7 ! 12t ! 8t 2 C 12t 3. Find the coordinate vector of p relative to B.
To calculate the relative vector of B we have to:
[tex]P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right][/tex]
The coordenates of:
[tex]p(t)= 12t^3-8t^2-12t+7[/tex], with respect to B satisfy:
[tex]C_1(1)+C_2(2t)+C_3(-2+4t^2)+C_4(-12t+8t^3)= 7-12t-8t^2+12t^3[/tex]
Equating coefficients of like powers of t produces the system of equation:
[tex]\left \{ {C_1-2C_3=7} \atop {2C_2-12C_4=-12} \right. \\\left \{ {{4C_3=-8} \atop {8C_4=12}} \right.[/tex]
After solving this system, we have to:
[tex]C_1=3\\C_2= 3\\C_3= -2\\C_4= \frac{3}{2}[/tex]
And the result is:
[tex]P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right][/tex]
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Genny's monthly salary was $2000in November. In December she received a 20% raise. In January, what was Genny's monthly salary?
Answer:400
Step-by-step explanation:
10%= 200
x2=400
Which function has the smallest y-intercept?
1) f(x) = 5x
2) x + 3y = 12
3) the line that has a slope of 2 and passes through (-1,3)
Answer:
y=2x+1
Step-by-step explanation:
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 2. So you can right away fill in the equation for a line somewhat to read:
y=2x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(1,3). When x of the line is 1, y of the line must be 3.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: b is what we want, the 2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (1,3).
So, why not plug in for x the number 1 and for y the number 3? This will allow us to solve for b for the particular line that passes through the point you gave!.
(1,3). y=mx+b or 3=2 × 1+b, or solving for b: b=3-(2)(1). b=1.
The equation of the line that passes through the point (1,3) with a slope of 2
is
y=2x+1
1/8 x 5/6 as a fraction in simplest form
Answer:
5/48Step-by-step explanation:
1/8 x 5/6 as a fraction in simplest form
1/8 * 5/6 =
5/48
The fraction in simplest form is 5/48.
Given that are two fractions 1/8 and 5/6, we need to find the product of the fractions,
To multiply fractions, we multiply the numerators together and the denominators together.
In this case, we have 1/8 multiplied by 5/6.
1/8 x 5/6 = (1 x 5) / (8 x 6)
Multiplying the numerators (1 x 5) gives us 5, and multiplying the denominators (8 x 6) gives us 48.
Therefore, 1/8 x 5/6 simplifies to 5/48.
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A network of roads connects locations T, O, W, N, and S. How many different routes are there to travel from T to W along the given roads (line segments) without retracing any part of the route or going to any town more than once per route?
Answer:
9 routes
Step-by-step explanation:
every time you make a route, you can make a symmetrical route on the other side.
Answer:
9
Step-by-step explanation:
7th grade math please help
Answer:
11.8
Step-by-step explanation:
brainlest
I NEED HELP THIS HW IS DUE TODAY
The hanger image below represents a balanced equation.
27
V
Find the value of v that makes the equation true.
U =
I need the answer
Answer:
2x =3
The hanger image given in the figure represents balanced equation.
Then we have to write an equation to represent the image.
In balanced form left side = right side
x + x = 1 + 1 + 1
2x = 3
The value v is 9.
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that is a structure showing a balanced hanger we need to find the value,
So we can say since the hanger is balanced therefore the weight both sides will be equal,
Therefore,
v + v + v = 27
3v = 27
v = 27
Hence the value v is 9.
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