Damon has $200 in a savings account that earns 4% annually. The interest is not compounded. How much will he have in total in 1 year? ​

Answer:

[tex]\sf x=7\sqrt{6}[/tex]

Step-by-step explanation:

As the base angles of the triangle are the same, then the legs of the right triangle are also equal.  Therefore, we can use Pythagoras' Theorem to calculate x.

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse of the right triangle)

Given:

Substituting the given values into the formula:

[tex]\sf \implies (7\sqrt{3})^2+(7\sqrt{3})^2=x^2[/tex]

[tex]\sf \implies147+147=x^2[/tex]

[tex]\sf \implies x^2=294[/tex]

[tex]\sf \implies x=\sqrt{294}[/tex]

[tex]\sf \implies x=\sqrt{49 \cdot 6}[/tex]

[tex]\sf \implies x=\sqrt{49}\sqrt{6}[/tex]

[tex]\sf \implies x=7\sqrt{6}[/tex]

[tex]\\ \rm\Rrightarrow cos\theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow cos45=\dfrac{7\sqrt{3}}{x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{\sqrt{2}}=\dfrac{7\sqrt{3}}{x}[/tex]

[tex]\\ \rm\Rrightarrow x=7\sqrt{3}\sqrt{2}[/tex]

[tex]\\ \rm\Rrightarrow x=7\sqrt{6}[/tex]

2. i) 1/2 × x

x/2

ii) 1/5 × x

x/5

iii)1-(1/2+1/5)

1- (5/10+2/10)

10/10- 7/10

3/10

3/10×x

3x/10

3. i)15× $p

15p

ii) cost for 4 bananas= $g

cost for 1 banana = $g÷4

cost for 16 bananas = $g/4 ×16

=$g×4

=4g

iii)

Cost for an orange= $p

Cost for 5 oranges = 5×$p

Cost for 1 banana= $g÷4

Cost for 2 bananas = 2× ($g÷4)

Add both of the expressions to get the total cost for 2 bananas and 5 oranges.

(2×$g÷4)+(5×$p)

($g×2/4)+(5×$p)

2/4 can be simplified as 1/2

g×1/2+5p

(g/2)+5p

Hope this helps!

Answer:

D. 80%

Step-by-step explanation:

15-3 = 12

12/15 = 4/5 = .8

80%

Answer:

try using a pie chart and split the division up in the pie, look to internet for images for an example

Step-by-step explanation:

Answer:

The answer is 3.1

Step-by-step explanation:  1/2  ÷ 4 would go like 4-1/2=2.8 then do it again 2.5-1/2=1.3 then do it once more 1.3  ÷ 1/2= 0.1 so the overall answer is 3.1. Your welcome!

Answer: 4 1/2 doezen cookies

Step-by-step explanation: just subtract. Hope this helps.

Answer:

12

Step-by-step explanation:

P = 8

Q = 16

The value of PQ = 16 - 8 = 8

Since M is the midpoint of PQ,

PM = MQ

PM + MQ = PQ

PM + PM = PQ

2 PM = 8

PM = 8 / 2

PM = 4

The value of M

= 8 + 4

= 12

Answer:

M = 12

Step-by-step explanation:

If you want to find the midpoint between the numbers 8 and 16, follow the simple steps below.

First, add the two numbers: 8 + 16 = 24

Secondly, divide the total by 2: 24/2 = 12

The midpoint between 8 and 16 is 12.

hope this helps!! p.s. i really need brainliest :)

Answer:

B and E

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

t = 2

Step-by-step explanation:

The perimiter is the lenth of the out side of the square. Sense we know its a square we know that the side lenth are all the same and sense we have 4 sides we would have to devide 8 by 4

8/4

which equals

t=2

Answer:

Step-by-step explanation:

Perimeter of square:

Perimeter = 4*side

[tex]\boxed{Side =\dfrac{Perimeter}{4}}[/tex]

[tex]t=\dfrac{8}{4}[/tex]

t = 2 yards

Answer:

The container will hold 190 ft^3 of volume of substance.

if the question means it.

Answer:

He spent ⅓ of the time on the remaining three questions.

Step-by-step explanation:

Let's first figure out what the question gives us, and what we need to find.

Given:

Test - 2 hours, 5 questions

Candidate - 80 minutes, 2 questions

Find:

Fraction of time he spent on remaining three questions

Start by finding the fraction of time that he spent on the first two questions.

Set up an unit converter to convert two hours to minutes.

[tex]2$ hours($\frac{60\text{ minutes}}{1 \text{ hour}})=2\cdot 60\text{ minutes}=120$ minutes[/tex]

Let "x" represent the fraction of time the candidate spent on the first two questions...

[tex]x=\frac{\text{Amount of Time spent on First Two Questions}}{\text{Total Time}}\\x=\frac{80\text{ minutes}}{120\text{ minutes}}[/tex]

[tex]x=\frac{80}{120}[/tex]

[tex]x=\frac{8}{12}[/tex]

[tex]x=\frac{2}{3}[/tex]

Let "y" represent the fraction of time the candidate spent on the remaining three questions...

[tex]y=1-\text{Fraction of Time spent on First Two Questions}\\y=1-\frac{2}{3}\\[/tex]

[tex]y=\frac{3}{3}-\frac{2}{3}\\[/tex]

[tex]y=\frac{1}{3}[/tex]

He spent ⅓ of the time on the remaining three questions.

Answer:

(5x – 3)(x - 3)

Step-by-step explanation:

Break the expression into groups

[tex]=\left(5x^2-3x\right)+\left(-15x+9\right)[/tex]

Factor out

[tex]=x\left(5x-3\right)-3\left(5x-3\right)[/tex]

Factor out common terms

[tex]=\left(5x-3\right)\left(x-3\right)[/tex]

Hence, Answer is (5x-3)(x-3)

~Lenvy~

The expression which is equivalent to 5x² - 18x + 9 is (5x – 3)(x - 3).

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

5x² - 18x + 9

We have to find the equivalent expression of this.

We have to factor this.

Using quadratic formula,

x = -(-18) ± √[(-18)² - (4 × 5 × 9)] / (2 × 5)

  = (18 ± √144) / 10

  = (18 ± 12) / 10

x = 3 and x = 3/5

So the expression can be factored as

(x - 3)(x - 3/5) = 0

(x - 3)(5x - 3) = 0

Hence the correct option is (5x – 3)(x - 3).

Learn more about Equivalent Expressions here :

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The total amount that will be paid for the products with a sales tax of 7.5% will be $1290.

Your information isn't complete as the table denoting the appropriate values aren't given.

Let's assume that the price of a product A is given as $800 ane product B is $400. If the sales tax is 7.5%, the total amount that will be paid will be:

= ($800 + $400) + (7.5% × $1200)

= $1200 + $90

= $1290

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The predicted value of the car in the year 2006 to the nearest dollar would be  $651.

The first step is to determine the rate of depreciation

g = (FV/PV)^(1/n) - 1

Where:

FV = value of the car in 2001

PV = value of the car in 1993

n = number ofyears = 8

(2700/26,300)^(1/8) - 1  = -24.76%

Now determine the value of the car in 2006

2700x ( 1 - 0.2476)^5 = $651

To learn more about depreciation, please check: https://brainly.com/question/25552427

Answer:

I'm confused with this, I dont understand what you are asking.

Step-by-step explanation:

2 is equivalent with a lot of things,

1+1

3-1

92-90

7×7-47

4÷2

the list goes on...

Answer:

2

Step-by-step explanation:

1 ⅚ + ⅙ = 1 6/6, also known as, 2

Answer:

4/8 or 1/2 rows

Step-by-step explanation:

Hope this helps! ^^

Answer: C

Step-by-step explanation:

[tex]2x+5y=5[/tex]

[tex]\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}[/tex]

[tex]2x+5y-2x=5-2x[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]5y=5-2x[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]

[tex]\frac{5y}{5}=\frac{5}{5}-\frac{2x}{5}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\bf{y=-\frac{2}{5}x + 1}[/tex]

Answer:

1023 feet

Step-by-step explanation:

Answer:

17.1

Step-by-step explanation

a^2+b^2=c^2

2^2 + 17^2 = c^2

4 + 289 = c^2

293 = c^2

square root of 293 or 17.1

Answer:

y - z; 6 - 2; 4

Step-by-step explanation:

z less than y means subtract z from y

y - z

Substitute the given values.

6 - 2

4

[tex]xy - 2x = - 3[/tex]

[tex]xy = 2x - 3[/tex]

____________________________________________

[tex]3 {x}^{2} + 5xy + 4 = 0[/tex]

[tex]3 {x}^{2} + 5(2x - 3) + 4 = 0[/tex]

[tex]3 {x}^{2} + 10x - 15 + 4 = 0[/tex]

[tex]3 {x}^{2} + 10x - 11 = 0[/tex]

[tex]delta = {10}^{2} - 4(3)( - 11)[/tex]

[tex]delta = 100 + 132[/tex]

[tex]delta = 232[/tex]

Thus;

[tex]x = \frac{ - 10 + \sqrt{232} }{6} \: \: or \: \: x \frac{ - 10 - \sqrt{232} }{6} \\ [/tex]

[tex]x = \frac{ - 10 + 15.23}{6} \: \: or \: \: x = \frac{ - 10 - 15.23}{6} \\ [/tex]

[tex]x = \frac{5.23}{6} \: \: or \: \: x = \frac{ - 25.23}{6} \\ [/tex]

[tex]x = 0.8716 \: \: or \: \: x = - 4.205[/tex]

____________________________________________

[tex]0.8716 \: y = 2(0.8716) - 3[/tex]

[tex]0.8716 \: y = 1.7432 - 3[/tex]

[tex]0.8716 y= - 1.2568[/tex]

[tex]y = \frac{ - 1.2568}{0.8716} \\ [/tex]

[tex]y = - 1.4419[/tex]

[tex] - 4.205 \: y = 2( - 4.205) - 3[/tex]

[tex] - 4.205 \: y = - 8.410 - 3[/tex]

[tex] - 4.205 \: y = - 11.410[/tex]

[tex]y = \frac{ - 11.410}{ - 4.205} \\ [/tex]

[tex]y = 2.7134[/tex]

And we're done

Have a great day ♡

Answer:

Depends on whether you're looking for area or perimeter. Follow the equations below

Step-by-step explanation:

This depends on whether you're being asked to find perimeter of area

Perimeter is equal to 2(length) + 2(width)

In which case perimeter would be 2(4 + w) + 2(w)

Which can be simplified to 8 + 2w + 2w = 4w + 8

However, Area is equal to length times width

Which would be (4 + w) * w = 4w + w^2

Answer:

Step-by-step explanation:

✔ w(4 +w) = 60

The calculation of the function given shows that since g(x) = -2x² - 9, the value of g(3) will be -27.

From the complete function, it should be noted that the value of g(x) = -2x² - 9.

Therefore, the value of g(3) will be calculated thus:

= -2(3)² - 9

= -2(9) - 9.

= -18 - 9

= -27

In conclusion, g(3) is -27.

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Answer: 25

Step-by-step explanation:

Answer:

Step-by-step explanation:

8 pounds of flour = 5 dollars

1 pound of flour = x

Cross multiply

8x = 1*5              Divide by 8

8x/8 = 5/8

5/8 = 0.625

Therefore x = 0.625 dollars will buy 1 pound of flour.

Rounded x = 0.63