3. You invested $11,000 in stocks and bonds paying 5% and 8% annual interest. If the total interest for the year was $730, how much was invested in each account?


4. A California company needs to blend a wine that is 6% alcohol, with a French wine which has a 9% content to obtain 200 gallons with a 7% alcohol content. How much of each kind should he use?

Answers

Answer 1

9514 1404 393

Answer:

  3. $6000 at 8%; $5000 at 5%

  4. 66 2/3 gallons of 9%; 133 1/3 gallons of 6%

Step-by-step explanation:

For many mixture problems, it works well to let a variable represent the amount of the largest contributor used in the mix.

3. Let x represent the amount invested at 8%. Then the total interest is ...

  8%x +5%(11000-x) = 730

  3%x = 730 -550

  x = 180/0.03 = 6000

$6000 was invested at 8%; $5000 was invested at 5%.

__

4. Let x represent the number of gallons of 9% content. Then the alcohol content of the mix is ...

  9%x +6%(200 -x) = 7%(200)

  3%x = 1%(200) . . . . . subtract 6%(200)

  x = 200/3 = 66 2/3 . . . . . divide by 3%

  200 -x = 133 1/3

66 2/3 gallons of 9% wine and 133 1/3 gallons of 6% wine should be used.


Related Questions

Corresponding Angles are congruent.
Which angle corresponds with 47?
H
«[?]
4748
45/46

Answers

Answer:

Angle 1 is corresponding angle with Angle 7.

Hope this will help you.

Answer:

Angle 1

Step-by-step explanation:

When two parallel  lines are crossed by traversal  line, the angles in matching corners are called corresponding angles

Angle 7 and angle 1  are corresponding

What is the length of line segment CD with endpoints (Negative 3 2) and (2, 2) as shown on the coordinate plane?

On a coordinate plane, line C D goes from (negative 3, 2) to (2, 2).
2 units
3 units
4 units
5 units

Answers

Answer: The line is 4 units.

Step-by-step explanation:

Answer:

5 is the correct answer just did the edge quiz

Step-by-step explanation:

Which figure has been packed with unit cubes correctly without gaps or overlaps?

a rectangular prism partially filled with unit cubes
a rectangular prism completely filled with unit cubes
a rectangular prism partially filled with unit cubes
a rectangular prism partially filled with unit cubes

Answers

Answer:

Second option: a rectangular prism completely filled with unit cubes

Step-by-step explanation:

If the rectangular prism is completely filled then there are 1) no gaps, 2) no overlaps. It's compact and complete.

Like the land bridge people, what factors might have pulled the Solutreans into North America?

overpopulation


job opportunities

better schools



grasses and animals

Answers

Answer:

mayne because of grasses and animals

Answer:

D

Step-by-step explanation:

Suppose that the effects of copper on a second species (say, species B) of fish show the variance of ln(LC50) measurements to be .8. If the population means of ln(LC50) for the two species are equal, find the probability that, with random samples of ten measurements from each species, the sample mean for species A exceeds the sample mean for species B by at least 1 unit.

Answers

Answer:

Hello the reference related to your question is missing attached below is the reference

answer : p ( x - y ≥ 1 ) = 0.0019

Step-by-step explanation:

Assuming 'X' and 'Y' are independent random samples

X : mean value = [tex]U_{1}[/tex] , variance = 0.4 /10 = 0.04

Y : mean value = [tex]U_{2}[/tex] , variance = 0.8/10 = 0.08

since the values are independent

V [ X - Y ] = V [ X ] + V [Y ] = 0.04 + 0.08 = 0.12

Determine the probability that the sample mean for species A exceeds the sample mean for species B by at least 1 unit

P ( x - y ≥ 1 ) = 0.0019

attached below is the detailed solution

Tara has a large box of treats that weighs 9.0 pounds. She uses the large box of dog treats to make smaller bags, each containing 0.6 pound of treats. How many smaller bags of dog treats can Tara make?

Answers

Answer:

Step-by-step explanation:

So, she has a box of treats that weighs 9.0 pounds.

She's using those treats to make smaller bags, each having 0.6 pounds of treats.

How many smaller bags can she make?

The time it takes to charge the battery of a cell phone is directly proportional to the charge of the battery.
The equation, y = 0.21x, is used to approximate the time it takes to charge the battery of a cell phone.
Cell Phone Battery Charge
100
70
60
Bettery Charge (%)
SON
40
BO
20
NON
Time (AM)
Approximate how long it will take the battery to charge to 100%.
4 hours
7 hours
6 hours
5 hours
Please help me

Answers

12.1+0.21x=100.23
That is the answer

Which is an odd monomial function?
O
y = 2x3
1
ya
O y=5x
O y = 3

Answers

Answer:

y=5x

Step-by-step explanation:

because it has only one term which is called monomial.

thank you

If 5 men can do a piece of work in 20 days, in how many days could 10 men
do the same work?

Answers

Answer:

10

Step-by-step explanation:

(U can do mental calculation and guess it will be 10 ..) or else ....

Constant(k) = xy

k= 5 x 20  

k= 100

Constant(k) = xy

100 = xy  

100 = 10y  

y= 100/10 = 10  

= 10

I hope im right!!

For which value of ø is sin ø= -1?
A. Pi/2
B. Pi
C. 3x/2
D. 2x

Answers

C. 3pi/2

Hope this helps

what is the measure if two supplementary angles has a ratio of 3:7. fund the measure if both angles ​

Answers

Answer:

The two angles are 54 degrees and 126 degrees.

Step-by-step explanation:

Let the two angles be 3x and 7x. Supplementary angles add up to 180 degrees.

Determine the roots of the following function of the quadratic formula:
x^2-5x-4=0

Answers

Answer:

4,1

Step-by-step explanation:

(x-4)(x-1)

x=4 or x=1

The answer is 4,1
-------------------------11

please help me with these two problems​

Answers

Problem 1

With mean = median, the data set is symmetrical. Well it's more accurate to say "roughly symmetrical" due to the phrasing "mean is approximately equal to the median". Using the median as its center is fairly common with many distributions, so there isn't an issue here.

The error is from the phrasing "the quartiles should be used to measure the spread". The quartiles themselves don't measure spread. They are simply single data points and do not tell us the spread. If Ralph said Q3 = 75 is a measure of spread, then he would be incorrect. However, the difference between the third and first quartile will help get the IQR (interquartile range), as described by this equation below

IQR = Q3 - Q1

and this is one tool to measure how spread out data is. The larger the IQR is, the more spread out the data will be.

The IQR is how far of a gap it is from Q1 to Q3. Another tool to measure spread is the standard deviation. Ralph was probably thinking about the IQR when he mentioned the quartiles, but he should be more specific about what he means.

=======================================================

Problem 2

Answer: Skewed left

This is the same as saying "negatively skewed"

---------------

Explanation:

The main cluster of values is on the right side, while a small portion of values are to the left. We consider this the left tail and the left tail is pulled longer compared to the right tail. The further left we go, the shorter the bar and eventually we hit outliers. These much smaller outliers compared to the main cluster pull on the mean to make it smaller than it should be.

One example could be that this curve represents test scores. The majority of the class could get in the range of say 70 to 90. Then there's the unfortunate few outliers who scored much lower (possibly 40 through 60); those outlier scores pull down the mean grade of the class overall.

In short, negatively skewed data indicates that mean < median.

find the measure of angle a.

Answers

Answer:

<A=50

Step-by-step explanation:

85+x+55+x+50=180

2x+190=180

2x=180-190

2x=-10

x=-5

A=x+55

A=-5+55

A=50

A< 50 because i said so

Find y if the line through (5, 2) and (7, y) has a slope of 4.

Y=___

Answers

Answer:

5

Step-by-step explanation:

please answer the question in the pic below :))

Answers

D hope this helps

Step-by-step explanation:

Solve the given equation for .
(8x•Ax)/Bx=6

Answers

Answer:

x=[tex]\frac{3B}{4A}[/tex]

Step-by-step explanation:

8xax/bx=6

8ax=6b

8ax/8a=6b/6a

x=3b/4a

Hopefully this makes sense :)

The equation c = 8n models the total cost, c, for n movie
tickets.

a. Graph the relationship modeled by the equation. Be
sure to label the axes.

b. How does the graph show the cost per ticket? How is
this cost related to the equation?

Answers

Answer:

8 would be A and b would be 4

The addition property inequality states that

Answers

The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation

Hope this helps!

solve this question in this question you have to solve 46 + 49 -24 ​

Answers

Answer:

71

Step-by-step explanation:

46 + 49 = 95

95 - 24 = 71

71 is correct but don’t forget to do pemdas so you won’t get them wrong

Which of the following rational functions is graphed below?
O A. F(X) =
2x
x(x - 2)
B. F(x) =
1
x(x - 2)
C. Fix) =
1
x(x - 2)
D. F(x) =
x + 1
(x + 2)(x +0)

Answers

Answer:

Huh? I'm not sure what you're asking try C

Answer:

B. f(x) = 1/x(x - 2)

Step-by-step explanation:

The graphed function has two vertical asymptotes.

The functions A and D have degree 1 on the numerator and degree 2 on the denominator, so finally having degree 1, have one vertical asymptote, therefore discounted.

We are left with B and C.

Function B has vertical asymptotes 0 and -2.

This is matching the graph, correct

Function C has vertical asymptotes 0 and 2

This is not matching the graph, incorrect

See the attached to confirm

Which expression is equivalent to this polynomial expression? (2x^2 – 3y^2)(4x^4 + 6x^2y^2 +9y^4)​

Answers

Answer:

[tex]26 {x}^{6} - 18 {x}^{2} {y}^{4} - 27 {x}^{4} {y}^{2} [/tex]

Step-by-step explanation:

click the link for alot more explanation, I'm tried typing

https://photomath.net/s/l5LVxj

Answer:

B

Step-by-step explanation:

Tom bought 5 hot dogs and paid 1.79 for each then Tom bought 4 salads for 4.01 each with 3 10 bills what was the change from the purchase/

Answers

I get $5.01 as change

An Olympic swimmer competes in the same events during each long course swim season. A swimmer currently
competing on the United States Women's Olympic Swim Team, will swim her best events each year with the hope of
continuous Improvement. The following table is a record of the swimmer's best times for the 100 meter freestyle event,
measured In long course meters.
Long Course Recorded
Season Best Time
2005 2:33.42
2006
2:24.81
2007
2:10.93
2008
2:03.45
2009
1:58.67
2010
1:59.17
1:55.06
2011
2012
1:55.82
2013
1:54.81
2014
2:00.03
1. Create a scatter plot representing the data displayed in the table.
2. Use the scatter plot to determine whether there is positive, negative or no correlation between the data values.
3. Write a conclusion statement regarding the data and the rate of change present in the line of best fit. Do not actually
calculate the slope or write the equation for the line of best fit.

Please help me
Will give brainly
Just give me the answer to 2 and 3
I already have 1
I just need 2 and 3
Please and thank you
Please answer this

Answers

Answer: Equation for the line of best fit is given by f(x)=-4.28402x+0.0875

Step-by-step explanation: like what you just put in your picture

Long Course Season Recorded Best time

2005 2:33.42

2006 2:24.81

2007 2:10.93

2008 2:03.45

2009 1:58.67

2010 1:59.17

2011 1:55.06

2012 1:55.82

2013 1:54.81

2014 2:00.03

-Since we can see from the scatter plot that it has negative correlation.

Equation for the line of best fit is given by f(x)=-4.28402x+0.0875

- This is what I can give you I see some people do this work before and when I see it I just take note and I think it was the answer...

- Hope this help :)

Please help! question is in the picture!

Answers

9514 1404 393

Answer:

  (5, 1) or maybe (h, k)

Step-by-step explanation:

The given form has no letters other than the variable. The vertex in this vertex-form equation can be read from the expression as (5, 1).

In the generic vertex form ...

  f(x) = a(x -h)² +k

the letters (h, k) are used to represent the vertex.

__

You would need to consult your curriculum materials to see what letters your author uses for the vertex in vertex form.

absolute value of -93​

Answers

The absolute value will be the positive version of the number
absolute value of -93 will be 93

Answer:

93

Step-by-step explanation:

The absolute value is just how far from away from zero a number is.

What is the result when like terms are combined in the expression
3
a
+
4
d
+
a
+
2
d
?

Answers

Answer:

4a + 6d

Step-by-step explanation:

3a + 4d + a + 2d

3a + a + 4d + 2d

Answer: 4a + 6d

Someone helllppppppppppoppppoop

Answers

Answer:

The answer is 2..............

Pleaseee if you know this can you please answer I’m struggling really bad

Answers

Answer:

[tex]L_{1}[/tex] ⊥ [tex]L_{2}[/tex] ; [tex]L_{3}[/tex] ⊥ [tex]L_{2}[/tex] ; [tex]L_{1}[/tex] ║ [tex]L_{3}[/tex]

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y = mx + b

"m" is slope

"b" is y-intercept (coordinates are (0, b)

Parallel lines have the same slopes and different y-intercepts.

Slopes of perpendicular lines are opposite reciprocals: [tex]m_{1}[/tex] × [tex]m_{2}[/tex] = - 1

~~~~~~~~~~~~~~~~~~~~~~

[tex]L_{1}[/tex] :  y = x + 5 , [tex]m_{L_{1} }[/tex] = 1 , b = 5

[tex]L_{2}[/tex] : y = - x + 7 , [tex]m_{L_{2} }[/tex] = - 1 , b = 7

[tex]L_{1}[/tex] ⊥ [tex]L_{2}[/tex]

[tex]L_{3}[/tex] : [tex]m_{L_{3} }[/tex] = 1 , b = - 2

[tex]L_{1}[/tex] ║ [tex]L_{3}[/tex] and [tex]L_{2}[/tex] ⊥ [tex]L_{3}[/tex]  

Ms. Reiger’s students found a total of 16 bird feathers. The line plot shows the lengths, in inches, of the bird feathers found by the students
Look at the line plot, and then select the two correct statements about the bird feathers.
The difference between the lengths of the shortest feather and the longest feather is 318 inches.
A. The difference between the lengths of the shortest feather and the longest feather is 238 inches.
B. The combined length of the two longest feathers is 828 inches.
C. The combined length of the shortest feather and the longest feather is 738 inches.
D. The combined length of the shortest feather and the longest feather is 618 inches.

Answers

Answer:

i need the picture to answer the question, sorry. but if you give me the picture im happy to answer it

Step-by-step explanation:

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