Answer:
Step-by-step explanation:
Given that:
4x + 5x = $440
9x = $440
x = $49 (Approx.)
So, she received :
from the stock = 4 x 49 = $196
from the bond = 5 x 49 = $245
SO, now, how much did she invest ?
Answer:
Step-by-step explanation:
Let x represent the amount invested at 4% and y the amount at 5%. Then x + y = 1000.
Then:
0.04(1000 - x) + 0.05x) = 440 (total interest)
Then:
40 - 0.04x + 0.05x = 440, or
0.01x = 400, or
x = 40000 (not possible, because the principal is only $1000.
Something's wrong here. Double check to ensure that you've copied the problem down correctly.
A car travels 0.75 miles every minute explain how you could use proportional reasoning to find how far the car travels in one hour
Answer:
A car can travel 45 miles every hour, because I multiply 3/4 (0.75) by 60. Because of this, 60 minutes is an hour.
Step-by-step explanation:
Please help urgently!
Answer:
[tex]a=-6\quad and \quad b=8[/tex]
Step-by-step explanation:
[tex]\frac{8-\sqrt{18}}{\sqrt{2}}=\frac{\sqrt{2}}{\sqrt{2}}\times \frac{8-\sqrt{18}}{\sqrt{2}}\\\\=8\sqrt{2}-\sqrt{2}\cdot \sqrt{18}\\\\=8\sqrt{2}-\sqrt{36}\\\\=-6+8\sqrt2[/tex]
By comparing the last expression with [tex]a+b\sqrt{2}[/tex], we get:
[tex]a=-6\quad and \quad b=8[/tex]
Best Regards!
Edward has 30 sweets.
The ratio of red sweets to yellow sweets is 2:3
How many red sweets does Ed have? *
Answer:
20 red sweets
Step-by-step explanation:
do two thirds of 30 and the part that cane out is the red sweets
Answer:
12
Step-by-step explanation:
Sum the parts of the ratio, 2 + 3 = 5 parts
Divide the number of sweets by 5 to find the value of one part of the ratio
30 ÷ 5 = 6 sweets ← value of 1 part of the ratio, thus
2 × 6 = 12 ← number of red sweets
find the area of triangle two sides of which are 8cm and 11cm and the perimeter is 32cm with Herons formula
Answer:
8√30
Step-by-step explanation:
The length of the third side is 32 - 8 - 11 = 13. s (which is half of the perimeter) is 32 / 2 = 16 so the answer is:
√s(s-a)(s-b)(s-c) = √16 * (16 - 8) * (16 - 11) * (16 - 13) = √16 * 8 * 5 * 3 = √1920 = 8√30
Mitch is buying candy bars for his friends he wants to give 2 bars to each friend and he wants to have 10 spare bars he can afford to buy 24 candy bars
Answer:
e can treat 7 friends
Step-by-step explanation:
2f+10=24
2f=24-10=14
f=14/2=7
The mapping diagram shows a functional relationship.
Domain
Range
Complete the statements
f(4) is
f(x) = 4 when x is
4
8
2
3
11
3
NI-
Intro
Done
Answer:f(4)=1/2
f(x)=4 when x is 8
The complete statements would be as:
⇒ function f(4) is 1/2 and function f(x) = 4 when domain x is 8.
What are the domain and range?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
We have been given that the mapping diagram shows a functional relationship.
To determine the value of f(4)
As per the given functional relationship,
If the value of the domain is 4 then the value of the respective range would be 1/2.
Therefore, the function f(4) would be 1/2.
To determine the value of x, when f(x) = 4
As per the given functional relationship,
If the value of the range is 4 then the value of the respective domain would be 8.
Therefore, x would be 8 if function f(x) = 4 .
Hence, the complete statements would be as:
f(4) is 1/2 and f(x) = 4 when x is 8.
Learn more about the domain and the range here:
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p inversely as( m + 1 ). when p = 4, m = 8 . (a)Find a equation connecting P and ( m + 1 ). (b)calculate the value of p when m = 11
Answer:
a. p= 36/(m + 1)
b. p = 3
Step-by-step explanation:
If p varies inversely as (m + 1)
then p = k × 1/(m + 1). {Where k is the constant}
when p = 4, m = 8, that means 4 = k/(8 + 1)
4 × 9 = k and k = 36
a. Therefore the equation is p= 36/(m + 1)
b. When m = 11,
p = 36/(11 + 1)
p = 36/12
p = 3
what is as a percentage and decimal
[tex] \frac{11}{20} [/tex]
Answer:
Percentage: 55%
Decimal: 0.55
Step-by-step explanation:
11÷20=
0.55
[tex]\frac{11}{20}=\frac{55}{100}[/tex]
or 55%
At a school carnival you pick a ball from two different containers. Each container has red balls and green balls. How many possible outcomes are there?
Answer:
4
Step-by-step explanation:
2^2
Answer:
4
Step-by-step explanation:
Maurice bought 25 shares of stock at $9.85 per share and sold them for $11.22 per share. (Do not use commas, percentage signs or dollar signs in your answers. Round percentage answers to the nearest tenth) What was his purchase price?
Solution: 25 × $9.85= $246.25 purchase price
25 × $11.22 = $280.5 sale price
$280.5 – $246.25 = $34.25 profit in dollars
$34.25 ÷ $246.25 = 0.139 = 13.9% ROI
Purchase price of the share is equals to 246.25dollars.
Profit percentage is equals to 13.9 percentage ( nearest tenth).
What is purchase price?
" Purchase price is defined as the total amount paid to buy any product."
Formula used
Profit = Selling price - Purchase price
Profit percentage = [tex]\frac{profit}{cost price} (100)[/tex]
According to the question,
Total number of shares = 25
Purchase price of one share = 9.85 dollars
Selling price of 1 share = 11.22 dollars
Therefore,
Purchase price of 25 shares = (9.85 × 25 )dollars
= 246.25 dollars
Selling price of 25 shares = (11.22 × 25) dollars
= 280.5 dollars
Selling price > Purchase price
Therefore,
Profit = Selling price - Purchase price
= 280.5 - 246.25
= 34.25 dollars
Substitute the value in the formula we get,
Profit percentage = [tex]\frac{34.25}{246.25} (100)[/tex]
= 13. 9 percentage ( nearest tenth)
Hence, purchase price of the share is equals to 246.25dollars.
Profit percentage is equals to 13.9 percentage ( nearest tenth).
Learn more about purchase price here
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In each figure below, find m∠1 and m∠2 if a||b. Show your work with statements.
Answer:
m < 1 = 80
m < 2 = 70
Step-by-step explanation:
As we can see in the figure that
[tex]a || b[/tex]
Plus line s and t are considered to be transversals
That results into
m < 1 and 80
i.e alternate angles
And as we know that alternative angles are equal to each other
So,
m < 1 = 80
Moreover,
m < 2 = 70
As corresponding angles are equal to each other
Therefore the m < 1 = 80 m < 2 = 70 could be computed easily by applying the above things
in Germany, VAT is at 19 % Jeremy buys a calculator for 58.31 German money this price contains VAT find the amount of VAT paid by jeremy
Answer:
9.31?
Step-by-step explanation:
Five minutes after midnight of 25 April 2016 there was a heavy rain in Adelaide. 144 hours later, what is the probability that it would be sunny over there? Justify your answer.
Answer:
0
Step-by-step explanation:
144 h = 6 days
Six days later would be midnight on May 1.
That's autumn in Australia, so sunset was probably around 8 pm. By midnight it would be completely dark.
The probability of Adelaide being sunny at midnight is zero.
A certain arithmetic sequence has this explicit formula for the nth term:
an = 11 + (n - 1)(4)
The same sequence has this recursive formula:
an = an-1 +__
What number belongs in the blank space in the recursive formula?
Answer:
4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given
[tex]a_{n}[/tex] = 11 +(n - 1)4 , then
d = 4
The recursive formula allows a term in the sequence to be found by adding d to the previous term, thus
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 4
Answer:
The answer is 4
Step-by-step explanation:
Here is a list of numbers: 8, 6, 19, 14, -19, -3, -14, 20, -9 State the median.
Answer:
6
Step-by-step explanation:
rearrange the numbers from smallest to biggest:
-19, -14, -9, -3, 6, 8, 14, 19, 20
the set of data the question requires is the middle data. there are 9 sets of data. the middle data = (9 + 1) ÷ 2 = 5
find the fifth piece of data from the rearranged order.
ans: 6
Answer:
6
Step-by-step explanation:
gotchu G
Who wants to help I really really need it ❤️
Answer:
4^8
Step-by-step explanation:
4^5 * 4^3
We know that a^b* a^c = a^(b+c)
4^(5+3)
4^8
There are between 24 and 40 students in a class.
The ratio of boys to girls is 4:7
How many students are in the class?
Answer:
33 students.
Step-by-step explanation:
There are between 24 and 40 students in a class.
The ratio of boys to girls is 4:7.
4×3:7×3
12:21
12+21=33
33 students in the class, which is between 24 and 40 students in a class.
4×2:7×2
8:14
8+14=22
22 is wrong because it has to be between 24 and 40 students in a class.
4×4:7×4
16:28
16+28=44
44 is wrong because it has to be between 24 and 40 students in a class.
4×1:7×1
4:7
4+7=11
11 is wrong because it has to be between 24 and 40 students in a class.
y = 4x – 6
can someone find me the slope for this thanks
Answer:
Slope = m = 4
Step-by-step explanation:
y = 4x-6
Comparing this with the standard slope-intercept equation:
[tex]y = mx+b[/tex]
Where m is the slope and b is the y-intercept.
So, we get:
Slope = m = 4
Answer:
4
Step-by-step explanation:
The equation of a line has a formula.
y = mx + b
Where m is the slope, and b is the y-intercept.
The equation for this line is given:
y = 4x + - 6
m = 4
b = -6
4 is the slope, and -6 is the y-intercept.
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. (A) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw
Answer:
See below
Step-by-step explanation:
When you roll an 8-sided die twice, the sample space is the set of all possible pairs (x,y) where x is the first outcome and y is the second outcome.
The sample space is:
[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)][/tex]
The sample space of the product xy of each outcome forms the required possibility diagram.
This is given as:
[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]
An appliance store reduced the price of a refrigerator by 20% and then raised the prices by 10% from the lower price. What was the original price of the refrigerator, if the price was $70.49 ?
Answer: $80
Step-by-step explanation:
Let the original price of the refrigerator be represented by y.
We are told that an appliance store reduced the price of a refrigerator by 20%. This will be:
= y - (20% of y)
= y - (20/100 × y)
= y - (0.2 × y)
= y - 0.2y
= 0.8y
We are then told that the store then raised the prices by 10% from the lower price. This will be:
= 0.8y + (10% of 0.8y)
= 0.8y + (0.1 × 0.8y)
= 0.8y + 0.08y
= 0.88y
Since we told that now the price was $70.49, this means that we have to find the value of y using the above expression. This will be:
0.88y = $70.49
y = $70.49/0.88
y = $80.10
y = $80 approximately
The original price of the refrigerator is $80.
What type of number is -2343 a)whole number b)integer c)rational d)irrational
Answer: B and C
Step-by-step explanation:
-2343 is an integer and also a rational number since it can be expressed as a fraction.
An integer is whole number and its opposite so -2343 is an integer because its opposite is 2343.
please help me please :(
Answer:
18
Step-by-step explanation:
There is a string that is 3 yards long that is divided into pieces that are 1/6 of yard long. Divide the total length by the length it was divided into to find the number of pieces.
When dividing with fractions, the second number will be inverted and multiplied by the first number.
3 ÷ (1/6) = 3 × 6 = 18
You will have 18 pieces
What are the dimensions of the poster at 1/3 its current size?
Answer:2 in. by 3 in
Step-by-step explanation:
only my best guess
The diameter of a semicircle is 98 meters. What is the semicircle's radius?
Answer:
It is 49
Step-by-step explanation:
Divide 98 by 2 to get semicircle radius.
Answer:
49 meters
Step-by-step explanation:
The radius is half of the diameter
98 divided by 2 is 49 which is the radius of the semicircle
Model the situation with the sum of polynomials. Then simplify the sum.
4. The width of a rectangle is represented by 4x, and its length is
represented by (3x + 2). Write a polynomial for the perimeter of the
rectangle
3x + 2
4x
O
Answer:
[tex]perimeter= 14\,x\,+ \,4[/tex]
Step-by-step explanation:
Recall the formula for the perimeter rectangle (the addition of all rectangle\s sides): That is: twice the width ( 4x) plus twice the length (3x+2);
[tex]perimeter=2\,*\,width \,+\,2\,*\,length\\perimeter = 2\,(4\,x)+2\,(3\,x+2)\\perimeter= 8\,x+6\,x+4\\perimeter= 14\,x\,+ \,4[/tex]
75 + 13 + ?? = 140 i dont know what it is.
Answer:
52
Step-by-step explanation:
140 - 13 = 127
127 - 75 = 52
Check your work:
75 + 13 + 52
= 140
52
Step-by-step explanation:
75 + 13=88
140 - 88=52
75 + 13 + 52=140
hope it helps stay safe and have a good day =D
405 increased by 8.3
Answer:
413.03
Step-by-step explanation:
405 increased by 8.3 is 405+8.3.
[tex]405+8.3=\\405+8.0+0.3=\\413+0.3=\\413.03[/tex]
Answer:
413.3 if ADD, 437.5215 if add by percent
Step-by-step explanation:
If it's increaced by 8.3%, then it is 405 + 32.5215 = 437.5215
If it's add 8.3, then it's 413.3.
Find the total surface area of this cuboid
Answer:
76
Step-by-step explanation:
SA=2lw+2lh+2hw, to find the surface area.
i have rounded the answer up by 1 decimal place
For which equations is 8 a solution? Check all that apply.
Ox+6=2
X+2 - 10
ox-4-4
Ox-2-10
0 2x=4
3x - 24
OŠ - 16
Answer:
3x-24
Step-by-step explanation:
because 3x-24 divide both side by co efficient of x which is 3 so 24/3=8
Which of the following is the result of the equation below after completing the square and factoring?
Answer:
D) [tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]
Step-by-step explanation:
Step(i):-
Given equation
x² + 5 x + 8 = 4
⇒ [tex]x^{2} + 2 X \frac{5}{2} x + (\frac{5}{2} )^{2} - (\frac{5}{2} )^{2}+ 8 = 4[/tex]
Step(ii):-
By using (a + b)² = a² + 2 a b + b²
⇒ [tex](x + \frac{5}{2})^{2} - (\frac{5}{2} )^{2}+ 8 = 4[/tex]
⇒ [tex](x + \frac{5}{2})^{2} = 4 + (\frac{5}{2} )^{2} -8[/tex]
⇒ [tex](x + \frac{5}{2})^{2} = (\frac{25}{4} ) -4[/tex]
⇒ [tex](x + \frac{5}{2})^{2} = (\frac{25-16}{4} )[/tex]
⇒ [tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]
Final answer:-
[tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]