You have $1000 to invest in two different accounts. In order to save the money you need for college, you need to average 6.6 percent interest. If the two accounts pay 5 percent and 7 percent interest, how much should you invest in each account?

A) $800 in 5%, $200 in 7%

b) $400 in 5%, $600 in 7%

C) $200 in 5%, $800 in 7%

D) $500 in 5%, $500 in 7%

Answers

Answer 1

Answer:

B) $400 in 5%, $600 in 7%

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 6.6/100

r = 0.066 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 10,000.00(1 + 0.066/12)(12)(7.5)

A = 10,000.00(1 + 0.0055)(90)

A = $16,382.75

Therefore, you will need to invest $400 in 5%, $600 in 7% acoounts

Answer 2

Answer:

Step-by-step explanation:

C) $200 in 5%, $800 in 7%


Related Questions

Felix's dinner costs $16.49. Felix pays a $20 bill. About how much change did he receive? Show your work.

Answers

Answer: He received $3.51 in change.

Step-by-step explanation:

To get the answer we can subtract the amount Felix paid ($20) by the cost of the dinner ($16.49).

It will look like this:

$20.00 - $16.49 = $3.51

Answer:3 dollars and 51 cents

Step-by-step explanation:

Julie needs to buy some new pencils for school. Each pencil cost 0.39. If she has 5.00 dollars now, what is the maximum number of pencils she can purchase. There is no tax in this purchase.

Answers

Answer:

At max, Julie can buy 12 pencils. She will have 32 cents left.

Step-by-step explanation:

I did 0.39x10=3.90. Next, I did 0.30x13=5.07. I went down by one and ended up with 0.39x12=4.68.

Julie will only be able to buy 12 pencils.
I did 0.39 times 12 and my answer was 4.68

PICTURES BELOW!!! PLEASE HELP!! XTRA POINTS TO CORRECT ANSWER!!!
Which graph best represents the solution to the system of equations shown below? (5 points)

y = −2x + 14
y = 2x + 2

Answers

Answer:

The second graph

Step-by-step explanation:

take x = 3 for instance, we can see that on the graph both lines intersect on y = 8

if we try it with our equations:

-2 * 3 + 14 = 8

2 * 3 + 2 = 8

Hope thi helps, please give brainliest thanks

(I NEED THIS RIGHT AWAY!) (PLS HELP) Lynette earns $5 by delivering newspapers. She saves $3 and she spends the rest. If she saved $27 one month, how much did she spend?

Answers

Answer:

$18

Step-by-step explanation:

To find how many times she has saved money, you would do 27/3=9. This means that she worked 9 times. Since she worked 9 times, she earned $45 in total. To find how much she saved you would do 45-27=$18

solve for x and graph the solution on the number line below 7+x<16

Answers

Step-by-step explanation:

x<16-7x<11

.....................

Find the least common denominator for the following fractions: 4/8 and 3/14

Answers

Answer:

Least Common Denominator for the following fraction is 2

Hope this helps, have a great day!

Answer:

the answer is 56 (pls think)

Are the following statements true or false? Justify your answers. Complete parts (a) through (c) below. (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) (a) In statistics, results are always reported with 100 % certainty. Choose the correct answer below A. False. In statistics, results are always reported with 100 % certainty only when discrete variables are measured. Results cannot be reported with 100 % certainty when continuous variables are measured. B. True. Statistics is the science of collecting, organizing, summarizing, and analyzing information to draw conclusions or answer questions. Since it is a science, results are always reported with 100 % certainty. C. True. Statistics would not be useful if they were not presented with 100 % certainty . Statistics is a form of mathematics, which means that as long as correct procedures are used, all results must be correct. D. False. In statistics, results are not reported with 100% certainty. Because statistical studies draw on samples, and because there is variation within groups, results cannot be reported with 100 % certainty.

Answers

The correct option that tests the given claim on statistics is; D. False. In statistics, results are not reported with 100% certainty. Because statistical studies draw on samples, and because there is variation within groups, results cannot be reported with 100 % certainty.

How to interpret the conclusion of a statistics research?

Statistical research is defined as the rigorous development of improved or new statistical methods grounded in probability and statistical theory.

Statistical data analysis is basically a procedure that is used to perform various statistical operations.

Now, from the question, the claim is that In statistics, results are always reported with 100 % certainty.

Now, this claim needs to be examined because there is no perfect human being and as such since statistics is drawn from a lot of samples and groups, there is guaranteed to be some form of variability in responses or results as the case may be.

Therefore, we can say that is option D.

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Wastewater is filling barrels at the rate of 13 quarts per hour. The recycling facility picks up 96 full barrels on each trip, and each barrel holds 30 quarts of wastewater. How many days are between each pickup

Answers

If the recycling facility picks up 96 full barrels on each trip then there is 9 days gap between each pickup.

What is the recycling facility picks up?

Recycling is the practice of reusing materials in existing products to create new ones. This can be accomplished in expected ways—such as using recycled paper as packaging material—or unexpected ways—such as using recycled glass to make artificial turf. Recycling helps to conserve limited resources, and—its proponents argue—it has other environmental benefits as well.

Since the recycling facility picks up 96 barrels on each trip

and each barrel contains 30 quarts of effluent.

Thus, the total volume of wastewater is 30 x 96, or 2880 quarts.

Each barrel is filled at a rate of 13 quarts per hour.

So 2880 quarts filled in hours.

We can now change 221.54 hours to days.

= 9.23 days

There are so 9 days in between pickups.

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Use point-slope form to find the equation of the line with a slope of -3 that passes through the point (-1,0)? Express your answer in slope-intercept form.​

Answers

Answer:

y = -3x - 3

Step-by-step explanation:

y = -3x + b

0 = -3(-1) + b

0 = 3 + b

-3 = b

y = -3x - 3

Are parallel algorithms always faster than sequential algorithms?

Answers

Answer:

Step-by-step explanation:

Parallel algorithms are not always faster than sequential algorithms. In general, the speed of an algorithm depends on a variety of factors, including the complexity of the algorithm, the hardware it is running on, and the specific problem it is trying to solve.

There are some cases where a parallel algorithm can be faster than a sequential algorithm. For example, if an algorithm can be easily divided into smaller subproblems that can be solved independently and then combined to get the final result, it may be possible to speed up the overall computation by using a parallel algorithm to solve the subproblems in parallel. This can be particularly effective if the subproblems are large and can be solved using multiple processor cores or distributed across multiple computers.

However, there are also cases where a sequential algorithm may be faster than a parallel algorithm. For example, if the problem is relatively small and can be solved efficiently using a single processor, it may not be worth the overhead of dividing the problem into smaller subproblems and coordinating their solution in parallel. In addition, some algorithms may be more difficult to parallelize, or may not lend themselves well to a parallel solution, in which case a sequential algorithm may be a better choice.

Overall, it is important to carefully consider the specific problem and available hardware when deciding whether to use a parallel or sequential algorithm.

Mr. Klimek made his wife a rectangular vegetable garden. The width is 5 3/4 ft, and the length is 9 4/5 ft. Mr. Klimek calculated his garden to be 15 11/20 square feet. Is Mr. Klimek correct with his calculations? If he is, what did he do to find his answer. If he is incorrect, what did he specifically do wrong, what is the correct answer? Show and Explain.

Answers

Answer:

He is wrong. The right answer is 56.35. Or 56 7/20

Step-by-step explanation:

So lets go over what we know.

The width is 5 3/4ft.

The length is 9 4/5 ft.

The square feet is l*w, otherwise known as area.

So in this, we multiply 5 3/4 by 9 4/5.

Before we multiply however, lets put this into decimal form. Its easier to think of it this way.

3/4, or 3 divided by 4, is 0.75 So 5 3/4 is actually 5.75

4/5, or 4 divided by 5, is 0.80. So 9 4/5 is actually 9.8

Now lets multiply:

5.75*9.8

This might seem a bit confusing, but here is a step by step way of how I multiplied:

5*9 is 45. 5 times 8 is 40. Move the decimal since we used 8 instead of .8 its now:

45 and 4.0

Which is 49.

Now lets multiply 9.8 by the 0.75

3/4ths of 9 is 6.75. 3/4 of 8 is 6. Again, move over the decimal since we used 8 instead of .8 its now:

6.75 and .6

This is 7.35

Add that to 49:

56.35

So this is your answer.

Now, this is not what Mr.Klimek got.

So he is wrong.

The real answer is 56.35

To find the fractional form of this, we can take the decimal 35 and put it over 100:

35/100

Then simplfy. In this case 5 goes into both numbers. So:

7/20

So we have 56 7/20.

Now, the final question, what did Mr.Klimek do wrong?

Well, he added his length and width, instead of multiplying.

We already know what our two numbers equal: 9.8 and 5.75.

Lets add these:

9 plus 5 is 14. 0.8+0.75 is 1.55.

14+1.55=15.55

Using the method of transfering  fractions I spoke of above:

55/100

5 goes into both numbers:

11/20

So adding the lenght and width, we got 15 11/20. This is what Mr.Klimek did.

So to sum up each answer:

The answer is 56.35 or 56 7/20Mr.Klimek is incorrect.Mr.Klimek added the length and Width, instead of multiplying.

Hope this helps! :D

Find p(3,4 or 5)!!!! HELPPPPPPPP

Answers

Answer:

triangle) 1/2

Step-by-step explanation:

let me know if this is incorrect

Triangle should be the answer

Given that startfraction a b over d e endfraction = startfraction b c over e f endfraction = one-half, complete the statements to show that △abc ~ △def by the sas similarity theorem. horizontal and vertical lines are . so, angles are right angles by definition of perpendicular lines. all right angles are . therefore, △abc ~ △def by the sas similarity theorem.

Answers

Lines running horizontally and vertically are parallel. So, angles A, B, and C are right angles by definition of perpendicular lines. All right angles are equal. Therefore, △ABC ~ △DEF by the SAS similarity theorem.

Given that startfraction a b over d e endfraction = startfraction b c over e f endfraction = one-half

Step 1: Multiply both sides of the equation by de:

a/b * de = bc/ef * de

Step 2: Simplify the left side of the equation:

ade = bcde

Step 3: Divide both sides of the equation by ad:

a/d = b/e

Step 4: Multiply both sides of the equation by be:

ab/d = be/e

Step 5: Simplify the left side of the equation:

ab = be

Step 6: Divide both sides of the equation by be:

a/b = 1/e

Step 7: Multiply both sides of the equation by ef:

a/b * ef = 1/e * ef

Step 8: Simplify the left side of the equation:

aef = ef

Step 9: Divide both sides of the equation by ef:

a/b = 1/e

Conclusion: startfraction a b over d e endfraction = startfraction b c over e f endfraction = one-half

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Answer:

perpendicular

b and e

congruent

27/3 TO A WHOLE
NUMBER

Answers

Answer:

9, after being converted to a mixed number

Step-by-step explanation:

Just divide 27 by 3, it’ll equal 9

yw :)

hope i helped, reach out if it’s wrong (it’s not lol)

Have a great day :3

Answer: 9

Step-by-step explanation:

since fraction means we divide the numerator by denominator, we divide 27 by 3

⇒27/3

⇒27 ÷ 3

⇒9 answer

hope that helps ...

A) y = -0.25x+ 98.75
B) y = -0.25x + 96.25
C) y = -0.75x + 96.25
D) y = -0.75x + 98.75

Answers

Answer:

i think its b

Step-by-step explanation:

At a coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot 5 48 22 Cold 8 12 5 If we choose a customer at random, what is the probability that his or her drink will be a medium? ​

Answers

Answer:

60%

Step-by-step explanation:

48 + 12 = 60

There is a 60% chance you randomly choose a medium out of 100 customers.

Answer: p=25%


Explanation:

Which linear equation shows a proportional relationship?
y equals two thirds times x
y equals negative 3 times x minus one seventh
y equals three fourths times x minus 5
y equals 3 times x plus 7

Answers

The linear equation that shows a proportional relationship is y equals two thirds times x.

A proportional relationship is a relationship between two variables in which one variable is a constant multiple of the other. In other words, if y is directly proportional to x, then y = kx for some constant k. This can also be written as y/x = k, where k is the constant of proportionality.

The linear equation that shows a proportional relationship is y = 2/3x.

It shows a direct relationship because the coefficient of x (2/3) is constant, and there is no constant term (y-intercept) which breaks the proportionality.

The other equations do not show a proportional relationship because they have a coefficient that varies with x or a constant term.

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Help, what are the answers to these angles? This is due by the end of today.

Answers

Answer:

1. 128

2. 136

3. 128

4. 52

5. 44

6. 146

7. 84

8. 96

9. 96

10. 84

11.  128

12. 52

13. 44

14. 136

15. 52

16. 128

17. 136

18. 44

Step-by-step explanation:

2: Si je cours à 12 km/h, en combien de minutes est-ce que je parcours 1 km ?​

Answers

Answer: cinq minutes

Step-by-step explanation: 1h est egalle à 60minutes. Alors I'll a couru 12km Dan's 60minute. La duration pour 1km sera 60÷12=5 minutes

Simplify to create an equivalent expression.
−2(−5n+6)+5(2−7n)
plz help UwU

Answers

Answer:

D -25n-2

zbsbbwjavabwbwhvwjqv17w7wfw ggv s zg

The radius $r$ of a circle inscribed within three mutually externally tangent circles of radii $a$, $b$ and $c$ is given by \[\frac{1}{r}

Answers

The formula yields the radius $r$ of a circle that is inscribed within three circles with radii $a$, $b$, and $c$ that are mutually external tangents.

[tex][\frac{1}{r} = \frac{1}{a} + \frac{1}{b} + \frac{1}{c}][/tex]

The radius of the inscribed circle is related to the radii of the three mutually externally tangent circles using a method known as the radical centre formula. According to this equation, the reciprocals of the radii of the three externally tangent circles add up to the radius of the circle that is inscribed.

The power of point theorem states that the product of the distance between the point and the three points of tangency is equal to the product of the distance between the point and the centres of the circles. This formula is based on the fact that the circles are mutually externally tangent and their centres are collinear. It is crucial to note that the formula can only be used if the circles are mutually externally tangent; otherwise, it is invalid.

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MATH PLEASE HELP ME WITH THIS.

Answers

Answer:

#1 multiply

#2 divide

#3 subtract

#4 subtract

#5 divide

Answer the questions about the following polynomial.
8x³+6x-1
The expression represents a
term is
the leading term is
polynomial with
terms. The constant
, and the leading coefficient is

Answers

The expression represents a polynomial with three terms.

What is polynomial?

A polynomial is an expression consisting of variables (often denoted by x, y, z, etc.) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Polynomials can be used to express a wide range of algebraic equations, from simple linear equations to more complex equations. Polynomials can also be used to construct functions with properties that are useful for solving real-world problems.

The expression represents a polynomial with three terms.

The constant term is -1, and the leading coefficient is 8. The leading term is 8x³.

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The rectangular prism has a volume ar 936 cubic inches Find the missing dimension of the prism​

Answers

I would say the length might be 13 the width will be 9 and the height will be 8 cause:13 x 9 x 8= 936 cubic inches have a nice day

Solve for x. Round your answer to the nearest tenth if necessary. NO SCAMS OR LINKS PLEASE!!!!!! ANSWER IS NOT 14.1 ​

Answers

Answer:

[tex]\boxed {\boxed {\sf x\approx 7.3}}[/tex]

Step-by-step explanation:

The triangle has a small square in the corner representing a 90 degree angle. This is a right triangle so we can use the Pythagorean Theorem to solve for the sides.

[tex]a^2+b^2=c^2[/tex]

In this equation, a and b are the legs and c is the hypotenuse.

x and 8.5 are the legs because they make up the right angle. 11.2 is the hypotenuse because it is opposite the right angle.

a= xb=8.5 c=11.2

Substitute the values into the formula.

[tex]x^2+(8.5)^2=(11.2)^2[/tex]

Solve the exponents.

(8.5)²= 8.5*8.5= 72.25 (11.2)²= 11.2*11.2= 125.44

[tex]x^2+72.25 =125.44[/tex]

Solve for x by isolating the variable. 72.25 is being added, so we subtract 72.25 from both sides because subtraction is the inverse operation of addition.

[tex]x^2+72.25-72.25 = 125.44-72.25[/tex]

[tex]x^2=125.44-72.25[/tex]

[tex]x^2=53.19[/tex]

x is being squared, so we take the square root of both sides.

[tex]\sqrt{x^2}=\sqrt {53.19}[/tex]

[tex]x=\sqrt{53.19[/tex]

[tex]x=7.29314746869[/tex]

Round to the nearest tenth. The 9 in the hundredth place tells us to round the 2 up to a 3.

[tex]x \approx 7.3[/tex]

The unknown side, x, is approximately 7.3

Making connections between arithmetic sequences and linear function


Use the graph or the formula to write the equation of the line in a slope intercept form

Answers

On solving the provided question, we can say that -  here in graph we have on solving equation [tex]x^2+ 3y^2 \\[/tex]  =  [tex]4+3 = 7[/tex]

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here-

from graph, x= 2

y = 1

[tex]x^2+ 3y^2 \\[/tex]

[tex]4+3 = 7[/tex]

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Please help me on this

Answers

Answer:

1. a

2. d

3. none of the above - correct answer is root 133. there has to be a typo I think. if they force you to choose do C.

Step-by-step explanation:

A,B,C1,2,3

BRAINLIST??

Zasha spent $6 on packages of gum. How many more packages of gum that cost $1.20 each can she buy if she has a $20 bill?

Answers

Answer: Zasha spent $6 on packages of gum, which means that she bought 6 / $1.20 = 5 packages of gum.

If she has a $20 bill, she has $20 - $6 = $14 left to spend on gum.

Zasha can buy an additional 14 / $1.20 = 11.6666666666666666666666667 packages of gum with this money.

Rounded down, Zasha can buy an additional 11 packages of gum.

Therefore, Zasha can buy a total of 5 + 11 = 16 packages of gum.

Step-by-step explanation:

She can buy 16 packages
Step-by-step explanation:
mhm yes yes mayum :p

How do you write 5.3 * 104 in standard form?

Answers

Multiply 5.3 by 104.

Answer: 551.2

a map drawn move to the scale 2 cm : 100 mi. on the map b is 3.5 centimeters from town a and town c is 2 centimeters past town b how many miles apart town a and town b

Answers

The distance between town a and b is 175 mi.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Given that, a map drawn move to the scale 2 cm : 100 mi. on the map town b is 3.5 centimeters from town a and town c is 2 centimeters past town b

Since, 2 cm = 100 mi

1 cm = 50 mi

Therefore, 3.5 cm = 50×3.5 = 175 mi

Hence, the distance between town a and b is 175 mi.

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When studying for his test, Joe found a z-score for the weight of a particular rock to be 1.48What does this z-score mean in the context the distribution of data collected from the weights of all rocks studied. Find the subject in the following sentence? Mr. French has been teaching students for many years.A.Students B.Years C.has been teaching D.Mr.French Can somebody help me please Acellus A steel pipe measures 62. 95 feet. How many kilometers is this? ? ] km Be sure to round your answer to the correct number of significant figures. Length in km Enter The fact that quasars can be detected from distances where even the biggest and most luminous galaxies cannot be seen means that Select one: A. they must be in directions where intergalactic absorption by dark matter is minimum, allowing us to see them. B. they must be intrinsically far more luminous than the brightest galaxies. C. they have not been as redshifted by their motion as have galaxies, and hence they can still be seen. D. they must be in directions where gravitational focusing by the masses of nearer galaxies makes them visible from Earth. What is the purpose of using variables in programming?O To calculate equationsO To define functionsO To print statementsO To store string values what is the energy of a photon of yellow light with a frequency of 5.2 x 10 Hz? American Indian attacks on the Oregon Trail were1.) more common than2.) less common than3.) the same ason the Santa Fe Trail. What are the top three characteristics of an effective presenter Why are these characteristics so important? Identify one exterior angle.Help please Nebula Inc. is an American smartphone manufacturer that sells smartphones in 36 countries across the globe. Nebula makes both low-end and high-end smartphones to cater to the needs of different markets across the world. There is a high demand for Nebula's low-end smartphones chiefly in developing nations. Its high-end smartphones have buyers mostly in developed nations. One of the challenges that Nebula faces is planning its sales strategy to suit different markets. Given this information, it can be said that Nebula's smartphones are an example of _____. 27. Francis bought two dresses and one pair of shoes for $70.50, before tax. The shoes cost $15.00 more than one dress. How much did the pair of shoes cost? You would like to implement the rule of thirds to present high-resolution images in an IT scrapbook. The scrapbook includes images of computer and other IT devices. How can you do this for the scrapbook What is the purpose of accentuating a musical note in an unexpected place in a piece of music?OAto stress on certain words to impart a sense of importanceO B.to complement or support the musical compositionO c conveys happiness, enthusiasm and excitementD.adds an element of surprise and enhances rhythmic pleasure for the listener Why is it that as the story progresses, Esperanza begins to focus less on herself andmore on the people who surround her?A) She finds other people more interesting than herself.B) She is beginning to feel a part of the community as she discovers herself.C) Esperanza is tired of talking about herself.D) She feels that people around her have a better story to tell. Help me please omggg I need help I am begging yall B is the circumcenter of ADG. find AE and DG Choose 2 of the following and briefly summarize their contributions to the field of psychology: Wilhelm Wundt, John Watson, William James, Sigmund Freud, or Max Wertheimer -(-10x-6)-6=-9xSolve for x whats 4x4-2+4-4-4-4-4-4-4-4+20+10