Answer: -43010000.
Step-by-step explanation: 3.99 million is 3,990,000. From there, you subtract 47,000,000 from 3,990,000. The answer is -43010000.
Have a great day! :)
In a survey of 1,372 office workers, 4.2% said that they do not make personal phone calls. Find the actual number of respondents corresponding to the given percentage.
The actual number of respondents corresponding to the given percentage is 57.
What do percentages mean?Percentage is the fraction of an amount expressed as a number out of 100. The sign used to rerepresnt percentages is %. Percentages are a measure of frequency.
What is the number of respondents?4.2% x 1372 = 57
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Betsy, a recent retiree, requires $5,000 per year in extra income. She has $70,000 to invest and can invest in B-rated bonds paying 13% per year or in a certificate of deposit (CD) paying 5% per year. How much money should be invested in each to realize exactly $5,000 in interest per year?
A. The amount of money invested at 13% = ___
B. The amount of money invested at 5% = ___
A. The amount of money that Betsy should invest n B-rated bonds at 13% is $20,000.
B. The amount of money that Betsy should invest in a certificate of deposit (CD) at 5% is $50,000.
How are CDs different from Bonds?Certificates of deposit (CDs) are short-term investments in financial institutions (money market) while Bonds are long-term investments in the stock exchange (capital market).
CDs pay reduced interest rates when compared to bonds'.
Data and Calculations:The amount required per year in interest = $5,000
Total investible funds = $70,000
Interest rate of B-rated bonds = 13%
Interest rate in CD = 5%
Since Betsy is not interested in realizing more than $5,000 in interest per year, she should invest $50,000 in the CD and $20,000 in the B-rated bonds.
The interest in CD = $2,500 ($50,000 x 5%)
The interest in bonds = $2,600 ($20,000 x 13%)
Total interest in CD and bonds = $5,100 ($2,500 + $2,600)
Thus, Betsy should invest $50,000 in the CD and $20,000 in the B-rated bonds.
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A dairy farmer plans to enclose a rectangular pasture adjacent to a river. To provide enough grass for the herd, the pasture must contain 18 square meters. No fencing is required along the river. What dimensions will use the least amount of fencing?
Answer:
390 m (perpendicular to river) x 780 m (parallel to river)
Step-by-step explanation:
Let y be the length of the side parallel to the river, and let x be the length of the sides perpendicular to the river.
The total area and length of fence required are given by:
Rewriting the length of fence as a function of only x:
The value of x for which the derivate of L(x) is zero is the length of x that uses the least amount of fencing:
If x = 390 m, then:
The dimensions that will use the least amount of fencing are 390 m x 780 m
In drawing a circle,what instrument is used to ensure that its radius is 6 cm?
Answer:
That would be a compass.
Step-by-step explanation:
This allows you to draw circles with great accuracy.
(+1) + (-5) - (+5) + (+9)
Answer:
The answer is 0
Hope that helps!
Answer: Your answer is 0-
the functionary f is such that f(x)=7x-6 a)work out the value of f(4) b)hence, or otherwise,work out the value of f^-1(22)
Answer:
Step-by-step explanation:
a) f(4)=7(4)-6=22.
b) This is equal to 4. Since [tex]f^{-1}(x)=y \implies f(y)=x[/tex], we get that since f(4)=22, [tex]f^{-1}(22)=4[/tex].
3x + 5
it should be equal to 65 i just need to know how to do it
Answer:
x = 20
Step-by-step explanation:
to make 3x + 5 = 65, first you can subtract 5 from 65, then divide. 60/3, which equals 20, so x = 20
Tony saw 6 birds in a tree. 1/6 of them flew away. How many were left?
Answer:
5 birds flew away
Step-by-step explanation:
1/6x6=1
( 1 bird flew away)
so, 6-1=5
Answer:
[tex]\huge\boxed{\bf\:5\:\:birds}[/tex]
Step-by-step explanation:
Number of birds Tony saw = 6Fraction that flew away = ⅙Number of birds that flew away = ?
Number of birds that flew away = Number of birds × Fraction that leftNumber of birds that flew away = 6 × ⅙Number of birds that flew away = 1Number of birds remaining = ?
Number of birds remaining = Total number of birds - Number of birds that flew awayNumber of birds remaining = 6 - 1Number of birds remaining = 5[tex]\rule{150pt}{2pt}[/tex]
When asked to factor the x^2 - 144, a student gives the answer (x - 12)(x - 12). What is wrong with this answer?
A. Both minus signs should be plus signs l
B. One of the minus signs should be a plus sign
C. There is nothing wrong with this answer
D. -1 is also a factor
Answer:
B
Step-by-step explanation:
because in general
(a + b)(a - b) = a² - b²
when the second term is negative, it has to be the product of a positive and a negative number.
positive × positive = positive
negative × negative = positive
A student draws several cards from a deck of 10 unique cards.
Which of these statements are true?
Select all that apply.
There are 252 different ways that 5 cards can be drawn.
There are 120 different ways that 7 cards can be drawn.
There are 210 different ways that 4 cards can be drawn.
There are 240 different ways that 6 cards can be drawn.
There are 90 different ways that 8 cards can be drawn.
Answer:
There are 210 different ways that 4 cards can be drawn.
There are 252 different ways that 5 cards can be drawn.
There are 120 different ways that 7 cards can be drawn.
Step-by-step explanation:
Use the combination formula
10C4 =210
10C5 = 252
10C7 = 120
PLS HELP ME PLSS AND SHOW HOW YOU GOT YOUR ANSWER
Answer:
Step-by-step explanation:
Fill in the missing term on each line. Simplify any fractions.
4t + 11 = 19
4t =
Subtract 11 from both sides
t =
Divide both sides by 4
Answer:
Step-by-step explanation:
4t + 11 = 19
Subtract 11 from both sides
4t = 19 - 11
4t = 8
Divide both sides by 4
t = 8/4
t = 2
Probability Practice: Cass is interested in figuring out how many customers have applied for a home mortgage recently.
Review the data and calicut are the probability that if Cass runs into one of the financial institutions customers at random, that person has applied for a home mortgage this year.
What is the total number of customers?
How many customers applied for a home mortgage?
The data given relating to the probability shows that the total number of customers will be 27300.
How to calculate probability?The total number of customers will be:
= 24300 + 3000
= 27300
The number of customers that applied for a home mortgage will be:
= 2430 + 150
= 2580
In conclusion, the total number of customers will be 27300.
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At the beginning of the summer,
Shay had $27 in her savings
account. Shay worked as a
lifeguard and by the end of the
summer had a total of $575 in
her savings account. How much
did Shay save over the summer?
What is the value of x?
Enter your answer in the box.
X
8 2
X=
30°
452
The length οf the perpendicular is 2√2.
What is Trigοnοmetry?Trigοnοmetry is a branch οf mathematics that deals with the study οf relatiοnships between the sides and angles οf triangles. It includes the study οf trigοnοmetric functiοns such as sine, cοsine, and tangent, which are used tο sοlve prοblems in fields such as engineering, physics, and navigatiοn.
Step 1:
Let's call the length οf the perpendicular "p".
Frοm the given infοrmatiοn, we knοw that the hypοtenuse is 8√2 and the angle at the base is 30 degrees. We can use trigοnοmetry tο find the length οf the perpendicular.
In a right triangle, the sine οf an angle is defined as the length οf the side οppοsite the angle divided by the length οf the hypοtenuse. Sο we have:
sin(30°) = p/8√2
We can simplify this expressiοn by nοting that sin(30°) = 1/2 and 8√2 = 8√(2/2) = 8√(1/√2) = 8/√2. Substituting these values, we get:
1/2 = p/(8/√2)
Simplifying further, we can multiply bοth sides by 8/√2:
4/√2 = p
Tο express the result in simplest radical fοrm, we can ratiοnalize the denοminatοr by multiplying the numeratοr and denοminatοr by √2:
p = 4/√2 * √2/√2 = 4√2
Therefοre, the length οf the perpendicular is 4√2.
Step 2:
Let's call the length οf the perpendicular "p".
Frοm the given infοrmatiοn, we knοw that the hypοtenuse is 4√2 and the angle at the base is 45 degrees. We can use trigοnοmetry tο find the length οf the perpendicular.
In a right triangle, the sine οf an angle is defined as the length οf the side οppοsite the angle divided by the length οf the hypοtenuse. Sο we have:
sin(45°) = p/4√2
We can simplify this expressiοn by nοting that sin(45°) = √2/2 and 4√2 = 4√(2/2) = 4√(1/√2) = 4/√2. Substituting these values, we get:
√2/2 = p/(4/√2)
Simplifying further, we can multiply bοth sides by 4/√2:
2√2 = p
Therefοre, the length οf the perpendicular is 2√2.
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please help, have to turn in in 30 mins
Please attach some form of question first, thank you!
please someone help me! I’m not accepting any links or files.
:)
Answer:
400
Step-by-step explanation:
48 is 12% of x
12/100 = 48/x
3/25 = 48/x
1/25 = 16/x
x = 25 × 16
x = 400
Answer: 400
Answer:
400
Step-by-step explanation:
(48 x 100) / 12 = 400
The questionnnnnnnnn
Answer:
C
Step-by-step explanation:
C because 25% + 10% = 35% and 10% + 25% is also 35%
Which number is a common multiple of 3 and 4?
A) 8
B) 14
C) 32
D) 48
Answer:
LCM of 3 and 4 is 12
Step-by-step explanation:
This is your answer
Answer:
The answer is D.
Step-by-step explanation:
To find the common multiple you would divide each answer choice by both numbers & if the are whole numbers then there is your answer. If it is a number with a decimal somewhere then that is not the answer.
Please help asap! :)
Answer:
x= 11.57017697
x= 41.2
x=16.50849765
Step-by-step explanation:
sin40=x/18
=> x= sin40 *18
tan x = 14/16
=> x= 41.2
cos 32 = 14/x
=> x= 14/ cos32
Find the mean median and range of the data 0,1,1,2,2,3,3,3,4,4,4,4,5,5,5,5,6,6,7,7,7,8,8,9,9,17
Answer:
Mean: 5.19 or 5.2
Median: 5
Range: 17
Step-by-step explanation:
Range: Q3 - Q1
0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 17
Here, we have 26 numbers
Minimum: 0
Maximum: 17
Median: 5 + 5 = 10/2 = 5
Lower quartile (Q1): 3
Upper quartile (Q3): 7
Range (biggest # - the smallest #): 17 - 0 = 17
Mean (add up all the numbers, and divide it by 26): 135/26 = 5.19 or 5.2
Hope this helps!
Help help help! Lateral area means total surface area I believe!
Thanks!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \:lateral \: surface \: area = \pi rl[/tex]
[tex]\qquad \sf \dashrightarrow \:la = \pi12 \times 15[/tex]
[tex]\qquad \sf \dashrightarrow \:la =180 \pi[/tex]
Therefore, the lateral surface area of cone = 180 pi in²
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
A farmer ploughts his lands in 12 days if he use 5 tractors ow long will it if he uses 3 tractors?
Answer:
Step-by-step explanation:
By proportion it will be (5/3) * 12
= 60/3
= 20 days.
3. A jet traveled at an average speed of 681 kilometers an hour. At that rate, how far did the jet go in 7 1/4 hours?
[tex]\stackrel{mixed}{7\frac{1}{4}}\implies \cfrac{7\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{29}{4}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} K ms&hours\\ \cline{1-2} 681 & 1\\ x& \frac{29}{4} \end{array} \implies \cfrac{681}{x}=\cfrac{1}{~~ \frac{29}{4}~~}\implies \cfrac{684}{x}=\cfrac{4}{29} \\\\\\ 19836=4x\implies \cfrac{19836}{4}=x\implies 4959=x[/tex]
A pizza is divided into 12 slices. If there are eight slices left, what fraction of the pizza is
remaining?
Answer:
when 12 pieces say =1/12
so 8 pieces say = 1/8
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
fraction of remaining part=8/12 (divided with 4)
=2/3
Nine people were asked, "How many times have you been on an airplane?" Their responses are listed below. 6,9,1,19,1,6,8,1 find the range and the mode for the data
pleaseeee helpppp
Step-by-step explanation: Range is where you put the numbers from greatest to least, I believe you can also do least to greatest. Mode is whenever you have your numbers in order form greatest to least the number that shows up the most is the mode. HOPE THIS HELPED !!!
Simplify -7 1/8 - (-9 1/2)
Answer:
Convert 7 1/8 to an improper fraction.
Simplify 7 * 8 to 56
-56 + 1/8 - (-9 1/2)
Simplify 56 + 1 to 57
-57/8 - (-9 1/2)
Convert 9 1/2 to an improper fraction.
-57/8 - (-9 * 2 + 1/2)
Simplify 9 * 2 to 18
-57/8 - (-18 + 1/2)
Simplify 18 + 1 to 19
-57/8 - (-19/2)
Simplify brackets
-57/8 + 19/2
Find the LCD
LCD = 8
Make the denominators the same as the LCD
-57/8 + 19 * 4/2*4
Simplify. Denominators are now the same
-57/8 + 76/8
Join the denominators
-57 + 76/8
Simplify
19/8
Convert to a mixed fraction.
2 3/8
Your answer is D.
Step-by-step explanation:
1. Matthew is at the beach with his family. He is using a rectangular prism-shaped container to mold sand for his sandcastle. The container has the following dimensions: 12 in. by in. by in.
(a) Matthew noticed that the container was one-fourth full of sand. How many more cubic inches of sand would be required to fill the container? Show your work.
(b) Matthew’s father has a container that has dimensions that are each double the dimensions of Matthew’s container. Matthew thought that the volume would also double. Is Matthew correct? How many times greater is the volume of the larger container than the volume of the smaller one? Show your work and explain your reasoning.
2. Jasmine is making a 3-tiered wedding cake. The cake is made up of 3 rectangular prisms.
The bottom tier has a width of 16 in, a length of 16 in, and a height of in. The middle tier has the same height as the bottom tier but has a width and length that are each of the dimensions of the bottom tier. The top tier also has the same height as the bottom tier, but its width and length are each of the dimensions of the middle tier. Jasmine has made enough batter for 2,200 in3 of cake.
Does Jasmine have enough batter to make this cake? Explain and show your work.
3. A rectangular prism has dimensions of , 2, and in.
(a) Determine the edge length of the largest unit cube that you could use to pack the prism. Explain.
(b) What is the volume of the prism? Explain.
(c) How many cubes with the edge length from part (a) will fit into the prism? Explain.
HELPPP!!!ASAP!! K12 PLEASE PLEASE HELP!!!!!!
Answer:
e
Step-by-step explanation:
cus e duh
For the graphed function f(x) = (4)x - 1 + 2, calculate the average
rate of
change from x = 1 to x = 2.
Answer:
y+4
Step-by-step explanation:
The loudness (L) of sound in decibels is related to intensity (I)measured in watts per square centimeter by the equation: L = 10log( I 10-16 ). Find the loudness of a whisper at 10-12 W/cm2. A) 35 decibels B) 40 decibels C) 45 decibels D) 50 decibels
The function L= 10 log(I/10^-16) is a logarithmic equation
The loudness of the whisper is 40 decibels
How to determine the loudness?The function of the loudness is given as:
L= 10 log(I/10^-16)
When the intensity is 10^-12, the equation becomes
L= 10 log(10^-12/10^-16)
Evaluate the quotient
L= 10 log(10^4)
Apply the rule of logarithm
L= 10 * 4
Evaluate the product
L = 40
Hence, the loudness of the whisper is 40 decibels
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