Last year, Deshaun had $10,000 to invest. He invested some of it in an account that paid 8% simple interest per year, and
he invested the rest in an account that paid 6% simple interest per year. After one year, he received a total of $660 in
Interest. How much did he invest in each account?
Note that the ALEKS graphing calculator can be used to make computations easier.

Answer: y= -4cos (pi/4x)-3

Step-by-step explanation:

The functions graph that has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed is; y = -4cos(¹/₄πx) - 3

The general equation of this is;

y = A cos bx

We are told that the period of the graph is 8

We know that 2π/b = period

Thus;

2π/b = 8

b = ¹/₄π

We are told that the maximum height is 1 if at least one full period is graphed. Thus, amplitude = 4

Thus the required equation is y = -4cos(¹/₄πx) - 3

Read more about period of graph at; https://brainly.com/question/10700288

Answer:

1.20

Step-by-step explanation:

[tex] 12 \div 10 = 1.20[/tex]

Answer:

I would tell them to buy a ps5 for me

Step-by-step explanation:

For a credit card be careful with what you buy, save it for the important stuff. Also make sure to constantly check your credit score and to check your purchases to make sure that only what you purchased is on there.

Answer:

The hardcover without a dust jacket.

Step-by-step Explanation

0.2 is 20%, so if you add that to the 64% you can see what the other percentage of books are. 64%+ 20% = 84. So if you subtract 84 from 100 that equals 16, so the other book percentage is 16%, which makes the hardcovers without a dust jacket the least number of books Patrick has.

Answer:

15 men * 12 days = 180 man-days

180 man-days / 9 men = 20 days

From a project management stand point man-days doesn’t really equate to much so while you can evaluate schedule, you would typically desire to see more information than this.

Step-by-step explanation:

[tex] \huge \mathcal{ Answer࿐}[/tex]

[tex] \boxed{ \mathrm{ \% \: error = \dfrac{error}{assumed \: value} \times 100}}[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

Unit 1=  $12.4 per gallon

Unit 2= $10.375 per gallon

Step-by-step explanation:

Given

[tex]Quantity\ 1= 5\ gallons[/tex]

[tex]Price = \$62.00[/tex]

[tex]Quantity\ 2= 8\ gallons[/tex]

[tex]Price =\$83.00[/tex]

Required

The unit price

The unit price is calculated as:

[tex]Unit = \frac{Price}{Quantity}[/tex]

So, we have:

[tex]Unit\ 1= \frac{Price \ 1}{Quantity\ 1}[/tex]

[tex]Unit\ 1= \frac{\$62.00}{5\ gallons}[/tex]

Unit 1=  $12.4 per gallon

[tex]Unit\ 2= \frac{Price \ 2}{Quantity\ 2}[/tex]

[tex]Unit\ 2= \frac{\$83.00}{8}[/tex]

Unit 2= $10.375 per gallon

Answer:

It is correct.

Step-by-step explanation:

Answer:

I cant see anything. . . i dont know if you posted a picture but i didnt get it. . . btw IF SOMEONE SAYS THE EXPLANATION IS IN THIS LINK DO NOT CLICK IT!!!! IT IS A VIRUS. . . I TESTED IT ON MY TEST PC AND IT GAVE ME A VIRUS!!! AGAIN IF ANYBODY GIVES YOU A LINK DO NOT PRESS IT. that being said please tell me the question and i will give you the answer :)

Step-by-step explanation:

Answer:

y=15x+10

Step-by-step explanation:

This equation is in slope-intercept form (y=mx+b) which signifies a linear function. Also, linear functions include x to the first degree and no larger. Anything larger than that would be a polynomial.

It is not x=-5 because that would be a straight vertical line.

It is not the second or third equations because x is being raised to the 4th and 2nd powers resulting in polynomial functions.

Answer:

The area is 56.7 square inches

Step-by-step explanation:

Given

See attachment for corner shelf

Required

The area

The corner shelf is a quadrant with radius;

[tex]r = 8.5in[/tex]

The area of a quadrant is:

[tex]Area = \frac{\pi r^2}{4}[/tex]

So, the area of the corner shelf is:

[tex]Area = \frac{\pi * 8.5^2}{4}[/tex]

[tex]Area = \frac{\pi * 72.25}{4}[/tex]

[tex]Area = \pi * 18.0625[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]Area = 3.14 * 18.0625[/tex]

[tex]Area = 56.7[/tex] -- approximated

Answer:

a) y=4x-12

b) 4x-y=12

Step-by-step explanation:

1) Solve for slope: y2-y1/x2-x1: (8-0)/(5-3)=4

2) plug into y=mx+b and solve for b, y=4x+b: 0=4(3)+b, b=-12

3) rearrange into ax+by=c form

Answer:

83%

Step-by-step explanation:

8/300 = 16/600

86 + 16 = 102

that leaves 498 that are not yellow or orange

so, 498/600 = 0.83 or 83%

Answer:

Dele ;left home at exactly 7:35

Step-by-step explanation:

hope this helps

Answer:

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

Step-by-step explanation:

Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88

At the null hypothesis, we test if the proportion is of 0.88, that is:

[tex]H_0: p = 0.88[/tex]

At the alternate hypothesis, we test if this proportion is less than 0.88, that is:

[tex]H_a: p < 0.88[/tex]

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.88 is tested at the null hypothesis:

This means that [tex]\mu = 0.88, \sigma = \sqrt{0.88*0.12}[/tex]

A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day.

This means that [tex]n = 160, X = \frac{138}{160} = 0.8625[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.8625 - 0.88}{\frac{\sqrt{0.88*0.12}}{\sqrt{160}}}[/tex]

[tex]z = -0.68[/tex]

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.

Looking at the z-table, the p-value of z = -0.68 is of 0.2483.

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

Answer:

140.608

Step-by-step explanation:

Answer:

Substitute y=x-1 for y in the first equation to get -4x+3(x-1)=-2

-4x+3x-3=-2    

-x-3=-2

-x=1

x=-1

Step-by-step explanation:

Answer:

x = -1

y = -2

Step-by-step explanation:

If you look at the second equation, y is already isolated for us:

y = x - 1

so all we need to do is plug in the value for y into the first equation:

-4x + 3(x - 1) = -2

Next all we do is algebra:

[distribute] -4x + 3x - 3 = -2

[condense] -1x - 3 = -2

[add] -1x = 1

[divide] x = -1

Now that we have the value of x, we can use it to find y by plugging it in to either equation.

y = x - 1

[plug in] y = -1 - 1

[condense] y = -2

Answers: x = -1, y = -2

Answer:

A is the correct graph of the parent function y=x^2

Step-by-step explanation:

While D is the graph of y=x^2+3, it is asking for the parent function. The parent function would be y=x^2 where no transformations have occurred, making A the correct graph

Answer:

Model B

Step-by-step explanation:

First, solve what each model means:

Model A:

6 boxes, 2 shaded

2/6=1/3

1/3 is approximately 33.35

Model B:

8 boxes, 3 shaded

3/8 is 37.5%

this is the answer, but we can go ahead and check the other boxes

Model C:

5 boxes, 2 shaded

2/5 is 40%

Model D:

7 boxes, 3 shaded

3/7 is approximately 42.9%

Lmk if you have more questions!

PN = PM

6x + 1 = 10x - 17

Add both sides 17

6x + 1 + 17 = 10x - 17 + 17

6x + 18 = 10x

Subtract both sides 6x

6x - 6x + 18 = 10x - 6x

18 = 4x

Divide both sides by 4

18 ÷ 4 = 4x ÷ 4

9/2 = x

x = 9/2

___________________________

QN = 2x + 5

QN = 2 × ( 9/2 ) + 5

QN = 9 + 5

QN = 14

Step-by-step explanation:

7×1/4 = 1.75

1.75 ÷ 2 = 0.875 pans each

Answer:

[tex]p= \frac{22}{27} =0.814 = 81.4%[/tex]

Step-by-step explanation:

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

Explanation:

5 play basketball, 2 play both, which means 5-2 = 3 play basketball only. So  A = 3.

12 play baseball, 2 play both, which means 12-2 = 10 play baseball only. So we have B = 10.

We have A+B+C = 3+10+2 = 15 people who play one sport, or the other, or both. This is out of 27 total. So that's what leads us to the answer 15/27.

Answers:

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

Explanation:

The money is divided in the ratio 10:7:5

This means that

for some positive real number x.

Since Shaiyara gets $20 more than Zahin, we can say,

S = Z+20

Let's plug in S = 7x and Z = 5x and solve for x

S = Z+20

7x = 5x+20

7x-5x = 20

2x = 20

x = 20/2

x = 10

Therefore,

The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.

The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.

Answer:

C) 27.5

Step-by-step explanation:

C) 27.5

So with sine cosine and tangent, try remembering the following:

Sin : Opposite / Hypotenuse

Cos: Adjacent / Hypotenuse

Tan: Opposite / Adjacent

Or just remember "Soh-cah-toa".

Anyways, with this, its asking for the sine ratio of angle Z. So we need the opposite side length and the hypotenuse side length

For the opposite side length, look to see where the angle is "opening" up towards, like a door that is opening. With this, Angle Z is opening up towards the Side XY, which has a length of 21.

To find the hypotenuse, it is always the largest side length of a right triangle. It is also where the right angle opens up it's "door" up to. This would be Side XZ, which has a length of 29.

With both of these, back to the ratio formula:

Sin : Opposite / Hypotenuse

To finish the question, simply plug in the values that were found above.

This will give you:

Sin Z : 21 / 29

This will be Choice A.

Answer:

76 ft of fence is required.

Step-by-step explanation:

21 ft + 17 ft + 21 ft + 17 ft = 76 ft

Answer:Sorry i have no time to read it all bro

Step-by-step explanation:

Answer:

D, 1.50(18)

Step-by-step explanation:

just guessing lol