Answer: 5.0526
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 38 on the left side and the dividend 192 on the right side like this:
3 8 ⟌ 1 9 2
Step 2:
The divisor (38) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
3 8 ⟌ 1 9 2
Step 3:
Multiply the divisor by the result in the previous step (38 x 0 = 0) and write that answer below the dividend.
0
3 8 ⟌ 1 9 2
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
3 8 ⟌ 1 9 2
- 0
1
Step 5:
Move down the 2nd digit of the dividend (9) like this:
0
3 8 ⟌ 1 9 2
- 0
1 9
Step 6:
The divisor (38) goes into the bottom number (19), 0 time(s). Therefore, put 0 on top:
0 0
3 8 ⟌ 1 9 2
- 0
1 9
Step 7:
Multiply the divisor by the result in the previous step (38 x 0 = 0) and write that answer at the bottom:
0 0
3 8 ⟌ 1 9 2
- 0
1 9
0
Step 8:
Subtract the result in the previous step from the number written above it. (19 - 0 = 19) and write the answer at the bottom.
0 0
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9
Step 9:
Move down the last digit of the dividend (2) like this:
0 0
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9 2
Step 10:
The divisor (38) goes into the bottom number (192), 5 time(s). Therefore put 5 on top:
0 0 5
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9 2
Step 11:
Multiply the divisor by the result in the previous step (38 x 5 = 190) and write the answer at the bottom:
0 0 5
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9 2
1 9 0
Step 12:
Subtract the result in the previous step from the number written above it. (192 - 190 = 2) and write the answer at the bottom.
0 0 5
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9 2
- 1 9 0
2
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 192 divided by 38 calculated using Long Division is: 5.0526
How long will it take for an investment to triple, if interest is compounded continuously at 8%?
It will take years before the investment triples.
Answer:
It will take 14 years before the investment triples
Step-by-step explanation:
Continuous Compounding
Is the mathematical limit that compound interest can reach if it was calculated and reinvested into an account's balance over a theoretically infinite number of periods.
The formula for continuous compounding is derived from the formula for the future value of a compound interest investment:
[tex]FV = PV\cdot e^{i.t}[/tex]
Where:
FV = Future value of the investment
PV = Present value of the investment
i = Interest rate
t = Time
It's required to find the time for an investment to triple, that is, FV = 3 PV, knowing the interest rate is i=8%=0.08.
Substituting the known values:
[tex]3PV = PV\cdot e^{i.t}[/tex]
Dividing by PV:
[tex]3 = e^{i.t}[/tex]
Taking logarithms:
[tex]\ln 3=i.t[/tex]
Solving for t:
[tex]\displaystyle t=\frac{\ln 3}{i}[/tex]
[tex]\displaystyle t=\frac{\ln 3}{0.08}[/tex]
t = 13.7 years
Rounding up:
It will take 14 years before the investment triples
It will take 37.5 years before the investment triples.
The formula for calculating the future value is expressed as:
[tex]A =Pe^{rt}[/tex]
P is the principal
r is the rate (in %)
t is the time (in years)
If the investment tripled, then A = 3P. The equation will become:
[tex]3P=Pe^{rt}\\3=e^{rt}\\ln3 =lne^{rt}\\rt = 3\\0.08t =3\\t =\frac{3}{0.08} \\t =37.5 years[/tex]
Hence it will take 37.5 years before the investment triples.
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what is 1261/48 so then i could get done with my brain power
Answer: It is 26.27083333
26.27 if rounded
The coordinates of both the pre-image and image of quadrilateral JKLM are listed in the table
below.
Which rule best represents this dilation?
A- (x, y) -> (4/11 x, 4/11 y)
B- (x,y) -> (3/22 x, 3/22 y)
C- (x, y) -> (11/4 x, 11/4 y)
D- (x, y) -> (22/3 x, 22/3 y )
Answer:
Option C.
Step-by-step explanation:
From the table attached,
Pre-image coordinates J(-8, 2) → Image coordinates J'(-22, 5.5)
J(-8, 2) → J'(-22, 5.5)
Since, rule for the dilation of a point is,
(x, y) → (kx, ky) [Here k = scale factor of dilation]
Therefore, kx = -22
k(-8) = -22
k = [tex]\frac{-22}{-8}[/tex]
k = 2.75
So the scale factor should be 2.75
From the given options,
Option A.
(x, y) → [tex]\frac{4}{11}(x, y)[/tex]
→ 0.36(x, y)
But value of k should be 0.36
Therefore, Incorrect option.
Option B.
(x, y) → [tex]\frac{3}{22}(x, y)[/tex]
→ 0.14(x, y)
k = 0.14
But the value of k should be 2.75
Incorrect option.
Option C.
(x, y) → [tex]\frac{11}{4}(x, y)[/tex]
→ 2.75(x, y)
k = 2.75
Therefore, this option is correct.
Option D.
(x, y) → [tex]\frac{22}{3}(x, y)[/tex]
→ 7.33(x, y)
k = 7.33
But the scale factor should be 7.33
Incorrect option.
A school bus uses 3/4 of a tank to drive back and fourth to school in a week with 5 school days. How much gas does the bus use to drive back and fourth to school in a week with 4 school days?
Answer:
3/5 of a tank
Step-by-step explanation:
You can use a proportion.
3/4 tank is to 5 days as x is to 4 days
(3/4)/5 = x/4
Cross multiply.
5x = 3/4 * 4
5x = 3
x = 3/5
Answer: 3/5 of a tank
Step-by-step explanation:
17 gallons of gas drive back and fourth
A recipe calls for “18 ounces of cream cheese with 15 ounces of sugar” How many ounces of sugar are there per ounce of cream cheese?
Answer:
1.2
Step-by-step explanation:
18 divided by 15 equals 1.2
When using inverse operations, what should you do to solve x + 7 = 10
Answer:
10-7=3
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
Since we are doing inverse, the opposite of adding is subtracting, so 10-7 is 3.
An estate of $485,000 is left to three siblings. The eldest receives 3 times as much as the youngest. The middle sibling receives $13,000 more than the youngest. How much did each receive?
Answer:
Step-by-step explanation:
the youngest received 94,200
the middle received 107,200
the eldest received 283,600
Step-by-step explanation:
Given parameters:
Worth of the estate = $485000
Unknown:
Amount received by each sibling = ?
Solution:
Let the amount received the eldest = e
middle = m
youngest = y
e = 3y
m = y + 13000
so;
e + m + y = 485000
3y + y + 13000 + y = 485000
5y = 485000 - 13000
5y = 472000
y = $94400
Eldest = 3y = 3 x 94400 = $283200
Middle = $94400 + $13000 = $107400
Youngest = $94400
what's the answer plz
Answer:
x ≥ 33
Step-by-step explanation:
Answer: the answer is 33
Write 3.0035 as a fraction.
Write the fraction as a mixed number (not an improper fraction). Make sure it is in simplest form.
The 3.0035 in the mixed number fraction should be [tex]3 \frac{7}{2000}[/tex]
Given that,
The given fraction is 3.0035 Calculation:[tex]= 3.0035\\\\= 30035 \div 10000\\\\= 6007 \div 2000 \\\\= 3 \frac{7}{2000}[/tex]
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need answer ASAP pls
Which is the independent variable in the graph of the U.S. population 1800-1900?
United States
straight lines
years
population
Answer: United States
Step-by-step explanation: Because threats the only independent variable the rest are dependent on others.
please help me asap
Answer:
15/16-3/4 is 3/16. (1/8 simplified)
Step-by-step explanation: Let the 4 turn into a 16. Multiply 4 by 4 to get 16. Then, multiply the numerator by the number you multiplied for the denominator. 3x4 is 12. Now, can subtract. 15-12=3.
Answer:
#5 should be: 0.1875
and since its different to the ones you have it will be 1 bc the decimal shows as .1
Idk if u want #6 done bc it does not show all answers but i did it anyways :)
#6 should be:−18.16666667
and if there is no decimal points on this one eather it will be -18/16
Step-by-step explanation:
Hopefully this helped, if not HMU and I will try my best to get you a better answer!
Have a great day:)
And if u need help with anything Im here! :)
lowest common multiple of 45 and 60
Answer:
180
Step-by-step explanation:
why does it have to be 20 character long
When using inverse operations, what should you do to solve y - 7 = 10?
Answer:
17
Step-by-step explanation:
There is a SUBTRACTION symbol in the problem. So, you will do the opposite, & ADD the 2 available numbers in the equation. 10+7=17
When you replace that y with 17, the equation is correct.
Please please help me
Answer:
the answer is c. it’s commutative property
Step-by-step explanation:
12-(y•2) is the same as 12-(2•y) 2 and y are just flipped around. hope this helps!
The table shows the relationship between y, the cost to rent a boat, and x, the mount of
time the boat is rented
Boat Rental Costs
Time,
Cost
(hours) (dollars)
1
32
5
104
Which grabest represents the relationship between x and y'shown in the table?
Boat Rental
Boat Rental
Answer: A
Step-by-step explanation:It shows the correct graph
Gven f(x) = -5x+9 If F(x)=-89. find x
Answer:
19.6 = X
Step-by-step explanation:
Plug in -89 for F(x)
Then just solve.
Get that 100.
5
Twenty sixth graders are going on a field trip. They will be
divided into 4 equal groups to take a tour. How many
students will be in each group?
Answer:
5 students per group
Step-by-step explanation:
20 ÷ 4 = 5 students
Answer:
5
Step-by-step explanation:
20/4=5
The graph of y = sin(x + 4) compared to the graph of
y = sin x has moved:
Yessss The answer is:
The graph of y = sin(x + 4) compared to the graph of
y = sin x has moved: It will be more voilentary and smaller but more larger with the aixs (x,y)
If ABCD is a parallelogram. BC=13 and AB=5, what is the perimeter of the parallelogram?
Answer:
36
Step-by-step explanation:
In a Parallelogram , it is important to note that opposite sides are equal to each other.
We are given parallelogram ABCD.
We have sides: AB, BC, CD, AD.
Since opposite sides are equal then:
AB = CD
BC = AD
The perimeter of a parallelogram is the sum of all its sides.
In the question: BC=13 and AB=5
Hence,
AB = CD = 5
BC = AD = 13
Perimeter of Parallelogram ABCD = 5 + 5 + 13 + 13
= 36.
Right now, Kate is 4 times as old as Tim. In four years, Katie will be 2 times as old as
Tim How old is each of them right now? How old will they be in four years?
Answer:
wth kinda question is this well how old is tim they could be 15 or 30 we don't clarify for us
Step-by-step explanation:
get smarter for asking question
Answer:
ya what the guy said above me
Step-by-step explanation:
I NEED URGENT HELP
SOMEONE PLEASE HELP
Answer:
2x + 3y = -13
Step-by-step explanation:
We can first find the equation of the line in point-slope form. The slope of the line is given by [tex](y_2-y_1)/(x_2-x_1)[/tex], which is (-5-(-3))/(1-(-2)), or -2/3. The equation for a line in point-slope form is [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is a point on the line -- in this case, we may use (1, -5). Therefore, the equation for the line is y + 5 = -2/3 (x-1).
The question asks for the equation of the line in standard form -- which is [tex]Ax+By=C[/tex]. We can get this by simplifying the equation above to get[tex]2x+3y=-13[/tex].
Connor and Maria are doing yard work for a neighbor. They make a total of $596.58. Since Maria works more hours than Connor, Maria gets 59% of the money. About how much (in whole dollars) does Maria make?
Maria makes about:
$300
$310
$240
$360
$410
$420
Answer:
360
Step-by-step explanation:
but 350 more accurately
Alyssa had to read 110 pages over the weekend. By Saturday, she had completed 60 pages. What percent did she complete? Which proportion can be used to solve? *
60/110 = x/100
x/110 = 60/100
110/60 = x/100
Answer:
i believe the answer is c or 110/60=x/100
Step-by-step explanation:
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Answer:
1514.8
Step-by-step explanation:
Answer:
1,514.8
Step-by-step explanation:
MARK BRAINLIEST!!!!!!! At a display booth at an amusement park, every visitor gets a gift bag. Some of the bags have items in them as shown in the table below. Items in the Gift Bags Items Bags Hat Every 2nd visitor T-shirt Every 7th visitor Backpack Every 10th visitor How often will a bag contain all three items? LCM or GCF?
Answer:
Step-by-step explanation:
you would find the least common multiple. If you have a set number of gift bags, and you want to find how many had all 3 at once, you would find the LCM that fit within the number of gift bags that you had in order to find it. in this case, it would be 1 in 70
5+2(10-4) ask question?
Answer: It is 17
Step-by-step explanation:
5+2(10-4)
5+2(6)
5+12
17
Answer: 17
Step-by-step explanation: you just have to simplify
x/-4 = -1.1
I’m bad at one step equations so thank you if you help <3
x/-4 = -1.1
=> x = -1.1 × -4
=> x = 4.4
Which linear inequality and its solution set is represented by the graph?
Answer:
im pretty sure its y is more than or equal to 3x - 4
Step-by-step explanation:
The volume of a cone is 1/3 that of a cylinder when the radius and height are the same (v= 1/3(pi)(r)^2(h). What is the volume of a cone with a radius of 10 inches and a height of 12 inches.
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Surface Areas and Volumes.
Since, Volume of cone = 1/3 π r^2 h,
here, r = 10 Inches and h= 12 inches, also π =3.14
so, VOC = 1/3 π (10)^2 × (20)
VOC = 1/3(3.14)(100)(20)= 2093.33 inch^3
=> so the volume of the cone is 2093.33 cubic inches.
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment. A 5-column table with 2 rows. Column 1 is labeled Bond with entries A B C 7 and one-half 15, X Y Z 7 and three-fourths 15. Column 2 is labeled current yield with entries 7.5, 8.4. Column 3 is labeled volume with entries 128, 17. Column 4 is labeled Close with entries 104 and three-fourths, 100 and one-half. Column 5 is labeled net change with entries blank, + one-fourth. If you buy five of the XYZ bonds with $8 commission for each, how much will it cost? a. $5025 b. $5065 c. $1005 d. $1045
Answer:
Answer is B. 5065
Step-by-step explanation:
Edge says so
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment.
What was the price of the XYZ bond on the previous day?
Edge says its C. 100 1/4
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment.
What was the price of the ABC bond on the previous day?
Edge says its D. 104 3/4
Answer:B
Step-by-step explanation: