Answer:
$45,000 at 13% = B-rated bond
$5,000 at 3% = CD
Step-by-step explanation:
Let us assume the x amount at 13% be 0.13x
And, y amount at 3% be 0.03x
Total interest = $6,000
The equation is
0.13x + 0.03x = $6,000 ................(1)
Now the total amount is $50,000
So
x + y = $50,000
y = $50,000 - x ................(2)
Now put the y value in the equation 1
So,
0.13x + 0.03 ($50,000 - x) = $6,000
0.13x + $1,500 - 0.03x = $6,000
0.10x = $6,000 - $1,500
0.10x = $4,500
x = $4,500 ÷ 0.10
= $45,000 at 13%
now y value would be
= $50,000 - $45,000
= $5,000 at 3%
Last year, the cost of a family-sized dinner at a picnic was $8.50. This year, the cost is $11.56. What is the percent of increase of the price? (i need a step-by-step explanation not just the answer) will give out brainly if u tell me how to
Answer:
[tex]\%Increase = 36\%[/tex]
Step-by-step explanation:
Given
[tex]Initial = 8.50[/tex]
[tex]Final = 11.56[/tex]
Required
Determine the percentage increase
Percentage increase is calculated using:
[tex]\%Increase = \frac{Final - Initial}{Initial} * 100\%[/tex]
Substitute values for Final and Initial
[tex]\%Increase = \frac{11.56 - 8.50}{8.50} * 100\%[/tex]
[tex]\%Increase = \frac{3.06}{8.50} * 100\%[/tex]
[tex]\%Increase = \frac{3.06 * 100\%}{8.50}[/tex]
[tex]\%Increase = \frac{306\%}{8.50}[/tex]
[tex]\%Increase = 36\%[/tex]
Hence, the percentage increase in price is 36%
Find the missing value.
Hint: Use the number line to find the missing value.
Helppp
Answer:
-2
Step-by-step explanation:
the multiplication of -×- will be + so if-×-will be plus then -7 after multiplying will be + so
_2+7=5
Answer is 12! Gl on what ur doing!
Multiplying and Dividing Radicals
Simplify the following expressions.
In a class with 25 students, 17 have brown eyes. What is the ratio of students without brown eyes to students with brown eyes.
Answer:
8:17
Step-by-step explanation:
Which expression is equivalent to two square root of 98 times square root of two
Answer:
The answer is 14. Hope this helps.
Step-by-step explanation:
fifty two seventh graders joined the swim club this year. THis is for more than six times the number seventh graders who joined the swimming club last year. How many seventh graders joined the swimming club last year. Brainly
Answer:
312
Step-by-step explanation:
52x6
92% of what number is 351.
Thanks
Answer:
x = 381.52
Step-by-step explanation:
We start by writing 92% in decimal form: 92% = 0.92
Now we want to find 92% of what number "x" equals 351, and write the equation in math form that represents such statement:
0.92 * x = 351
solve for "x" by dividing both sides by 0.92:
x = 351/0.92
which gives approximately:
x = 381.52
What is the equation in standard form of the line y = 19x + 5?
i am doing a test. thank you.
Answer:
19x-y=-5
Step-by-step explanation:
Tip: don't say you need an answer for a test may get reported or banned. :)
You're welcome :)
Bhmbbu.jgHello I need help with the square root of 1867 and the square root of 5098 6x9x7x5x4
Answer:
Hello!
Step-by-step explanation:
What did the thief get for stealing the calendar?
Here is a riddle
Find the values of x and y that satisfy the equation.
- 12x + yi = 60 - 13i
Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter.Area: 49 square feet ft (smaller value) ft (larger value)
Answer:
Length = 7 ft
Breadth = 7 ft
Step-by-step explanation:
Let lenght of rectangle be x
and breadth be y
Area = [tex]49\ \text{ft}^2[/tex]
[tex]xy=49\\\Rightarrow x=\dfrac{49}{y}[/tex]
Permiter of a rectangle is given by
[tex]P=2(x+y)\\\Rightarrow P=2x+2y\\\Rightarrow P=2\times\dfrac{49}{y}+2y\\\Rightarrow P=\dfrac{98}{y}+2y[/tex]
Differentiating with respect to y we get
[tex]\dfrac{dP}{dy}=-\dfrac{98}{y^2}+2[/tex]
Equating with zero
[tex]0=-\dfrac{98}{y^2}+2\\\Rightarrow -2=-\dfrac{98}{y^2}\\\Rightarrow y^2=\dfrac{98}{2}\\\Rightarrow y^2=49\\\Rightarrow y=7[/tex]
Double derivative of the equation
[tex]\dfrac{d^2P}{dy^2}=2\dfrac{98}{y^3}\\\Rightarrow \dfrac{d^2P}{dy^2}=\dfrac{196}{y^3}>0[/tex]
So the value of y is minimum at 7.
[tex]x=\dfrac{49}{y}=\dfrac{49}{7}\\\Rightarrow x=7[/tex]
Hence, [tex]x=7,y=7[/tex]
The mimimum length and breadth of the rectangle is both 7 ft.
3/4 x 2 /4 on a number line
What is 8.15 rounded to the nearest whole number
Answer:
the answer is 8.
Step-by-step explanation:
Brainliest? uwu
Answer:
8 :)
You round down. If it was 8.5 then you'd round up, anything below would be rounded down, for example, 8.4, 8.3, 8.2, 8.1.
Find the number whose arithmetic square root is 0.6
Answer: 0.36
Step-by-step explanation:
6/10 x 6.10= 36/100
Translate this sentence into an equation.
17 less than Vidya's savings is 64
Answer:
S - 17=64
Step-by-step explanation:
Can someone solve this? also, show work please. We need to find out what x is.
-6x + 13 = -5(7 +6x)
Answer:[tex] \huge{ \boxed{ \bold{ \tt{ x = - 2}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 6x + 13 = - 5(7 + 6x) }[/tex]
Distribute -5 through the parentheses
[tex]\longrightarrow{ \sf{ - 6x + 13 = - 5 \times 7 + ( - 5 )\times 6x}}[/tex]
[tex]\longrightarrow{ \sf{ - 6x + 13 = - 35 + ( - 30x)}}[/tex]
[tex] \text{Remember} : \sf{( + ) \times ( - ) = ( - )}[/tex]
[tex]\longrightarrow{ \sf{ - 6x + 13 = - 35 - 30x}}[/tex]
Move 30x to left hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 6x + 30x + 13 = - 35}}[/tex]
Move 13 to R.H.S ( Right Hand Side ) and change it's sign[tex] \longrightarrow{ \sf{ - 6x + 30x= - 35 - 13}}[/tex]
Combine like terms
[tex] \longrightarrow{ \sf{24x = - 35 - 13}}[/tex]
The negative integers are always added but posses the negative ( - ) sign.[tex] \longrightarrow{ \sf{24x = - 48 }}[/tex]
Divide both sides by 24
[tex] \longrightarrow{ \sf{ \frac{24x}{24} = \frac{ - 48}{24}}} [/tex]
Dividing a negative integer by a positive integers gives a negative integer.
[tex]\longrightarrow{\sf{x = -2 }}[/tex]
-----------------------------------------------------
Verification:L.H.S = -6x + 13
Plug the value of x and simplify
[tex] \longrightarrow{ \sf{ - 6 \times ( - 2) + 13}}[/tex]
Multiplying negative integers by a negative integer gives a positive integer.
[tex] \longrightarrow{ \sf{ 12 + 13}}[/tex]
Add the numbers : 12 and 13
[tex] \longrightarrow{ \sf{25}}[/tex]
R.H.S = -5 ( 7 + 6x )
plug the value of x and simplify
[tex] \longrightarrow{ \sf{ - 5(7 + 6 \times ( - 2)}})[/tex]
Multiplying a positive integer by any negative integer gives a negative integer.
[tex] \longrightarrow{ \sf - 5(7 + ( - 12)}[/tex]
[tex]\longrightarrow{\sf{-5(7 - 12)}}[/tex]
Subtract 12 from 7
[tex] \longrightarrow{ \sf{ - 5 \times ( - 5)}}[/tex]
[tex]\longrightarrow{\sf{25}}[/tex]
L.H.S = R.H.S
The value of x is -2 .
Hope I helped!
Best regards!
~TheAnimeGirl
A box of 11 transistors has 4 defective ones.
A) If 2 transistors are drawn from the box together, what is the probability that both transistors are defective?
B) If 2 transistors are drawn from the box together, what is the probability that neither transistor is defective?
C) If 2 transistors are drawn from the box together, what is the probability that one transistor is defective?
Answer:
(a) 0.1325
(b) 0.4045
(c) 0.463
Step-by-step explanation:
Let X denote the number of defective transistors.
The proportion of defective transistors is, p = 4/11 = 0.364.
All the transistors are independent of the others.
The random variable X follows a binomial distribution.
(a)
Compute the probability that both transistors are defective, if 2 transistors are drawn from the box together as follows:
[tex]P(X=2)={2\choose 2}(0.364)^{2}(1-0.364)^{2-2}\\\\=1\times 0.132496\times 1\\\\=0.132496\\\\\approx 0.1325[/tex]
(b)
Compute the probability that neither transistors are defective, if 2 transistors are drawn from the box together as follows:
[tex]P(X=0)={2\choose 0}(0.364)^{0}(1-0.364)^{2-0}\\\\=1\times 1\times 0.404496\\\\=0.404496\\\\\approx 0.4045[/tex]
(c)
Compute the probability that one transistors are defective, if 2 transistors are drawn from the box together as follows:
[tex]P(X=1)={2\choose 1}(0.364)^{1}(1-0.364)^{2-1}\\\\=2\times 0.364\times 0.636\\\\=0.463008\\\\\approx 0.463[/tex]
5. *
17 points
Which answer shows 9x 10-written in standard form?
-.000009
.000009
-900,000
.00009
Which is the better buy?
7-pound bag of barley for $6.72
312-ounce bag of barley for $28.08
Answer:
7-pound bag of barley for $6.72 is a better buy.
Step-by-step explanation:
7-pound bag of barley for $6.72
6.72 : 7 = 0.96
check your work: 0.96 x 7 = 6.72
so for the first offer you will be paying $0.96 per pound
312-ounce bag of barley for $28.08
1 pound = 16 ounces
312 ounces = 19.5 pounds
28.08 : 19.5 = 1.44
for the second offer you will be paying $1.44 per pound of barley. 7-pound bag of barley for $6.72 is a better buy because you will be less for each pound.
hope this helps!
Answer:
7-pound bag of barley for $6.72
Step-by-step explanation:
Elijah builds model airplanes at a constant rate. He can build 5 model airplanes in 150 minutes, and 10 model airplanes in 300 minutes. How long would it take him to build 15 model airplanes.
Answer:
450 minutes
Step-by-step explanation:
Since Elijah can build 5 model airplanes in 150 minutes. He can build 1 model airplane in 30 minutes. To find this you divide 150 by 5. The question asks for how many minutes it would take Elijah to build 15 model airplanes. Since 1 x 15 = 15 model airplanes, you use proportions and also multiple the time by 15, so 30 x 15 = 450 minutes.
Answer:
450 Minutes or 7 hours 30 minutes
Step-by-step explanation:
Because the rate of Sets to minutes is 1:30 for every 1 he builds it take 30 minutes so 30 x 15 = 450 or 150 x 3 because every 5 sets there 150 minutes
Hope this helped :)
F+G=K+7, K=7 prove: G=7
Step-by-step explanation:
K=7,
F+G=K+7
F+G=7+7
F=7, G=7 proved
My first letter is in place and also in circus
My second's in rose but not in rise
My third's in command and also in plumber
My fourth's in point and also in spear
My fifth's in lane but not in lonely
My sixth's in Sunday and also in ring
My seventh's in cyclone and also in pastry
What am I?
Step-by-step explanation:
company
answer is company hope it helps
Answer: company
Step-by-step explanation:
Kevin needs to memorize words on his oh Cavaleri list for Latin class. He has been raised 20 other words, which is 4/5 of the list. How many words are on the list?
Answer:
25
Step-by-step explanation:
if 20 is 4/5 then you just reverse egineer and you get it
272 is the partial product of 34 and ?
Answer:
8
Step-by-step explanation:
cuz 272/34= 8
Answer:
Required Answer:-[tex]{:}\longmapsto [/tex][tex]\sf {\dfrac {272}{34}}[/tex]
[tex]{:}\longmapsto [/tex][tex]\sf 8[/tex]
WILL GIVE BRAINLIEST! Is the relationship between x and y as shown in this table a proportional relationship? Explain your answer.
x y
1 2.5
2 5
4 10
6 12
8 20
Answer:
No, a porportional relationship is not shown
Step-by-step explanation:
Up until 4(x) and 10(y), the relationship is porportional. Then, when x increases by 2, y also only increases by 2. Y would need to increase by 5.
Given the cost function
C
(
x
)
=
0.85
x
+
51
,
230
and the revenue function
R
(
x
)
=
1.94
x
, find the break-even point.
Answer:
2.r=1.94
1. c=0.85x+51/x
Step-by-step explanation:
given f(x)=4x-3, solve for x when f(x)=9
Six years ago Deki was P times as old as Benita was. If Deki is now 17 years old, how old is
Benita now in terms of P?
A. 11/P + 6
B. P/11 + 6
C. 17 - P/6
D. 17/P
Answer:
A) 11/P + 6
Let Ben’s age now be B
Anita’s age now is A.
(A - 6) = P(B - 6)
But A is 17 and therefore 11 = P(B - 6)
11/P = B-6
(11/P) + 6 = B
please make as brainleylist
which is a characteristic of any function created by the product of two linear factors?
A. has an axis of symmetry
B. has a maximum
C. has two y intercepts
D. has two x intercepts
Answer:
the answer is d
Step-by-step explanation:
The characteristic of any function created by the product of two linear factors is; Choice D: has two x-intercepts.
According to the question;
We are required to determine which is a characteristic of any function created by the product of two linear factors.The product of two linear factors results in a quadratic function.
Since a quadratic function is a polynomial of degree two, 2.
In essence, the resulting function created by the product of two linear factors has two x-intercepts.
Read more;
https://brainly.com/question/11869216
Select the correct answer.
Which expression is equivalent to this polynomial?
x^2+8
OA. ( + 2/2)(x – 2/2)
B. (5 + 4i) (3 – 4i)
oc. (x + 2√2)
D. (x + 2/2i)(x – 2/2i)
The expression x²+8 is equivalent to ( x + 2√2i) ( x - 2√2i).The correct option is D.
What is an Expression?An expression is a statement consisting of variables, constants, and mathematical operators.
The expression x²+8 can be written as
( x )² - ( 2√2i)²
This is representing the binomial Identity
a² - b² = ( a+b) (a-b)
here a = x , b =2√2i
The expression can be written as
( x )² - ( 2√2i)² = ( x + 2√2i) ( x - 2√2i)
Therefore, The correct option is D.
To know more about Expression
https://brainly.com/question/14083225
#SPJ2
Answer: D.)
Step-by-step explanation: I got it right on the test!!