Last year, Manual opened an investment account with $5400. At the end of the year, the amount in the account had increased by 28.5%. How much is this increase in dollars? How much money was in his account at the end of last year?​

Answer:

x greater than or equal to 1/3

Step-by-step explanation:

Answer:

equation is unclear. Send another pic.

Answer:

f(x)=x(x-6)(x+3)

Step-by-step explanation:

Answer:

It would be 6 miles per hour

Step-by-step explanation:

the points are right above of 5 so it would have to be 6.

Answer:

frac.: 1/8

dec.: 0.125

pct.: 12.5%

The given numbers in ratio as 1:8, in fractions as 1/8 and in percentage as 12.5%.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, 1 to 8.

The given numbers in ratio

1:8

In fraction

1/8

In percentage

1/8 ×100

=12.5%

Therefore, the given numbers in ratio as 1:8.

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Answer: interest rate was 6.7 %

Step-by-step explanation: 402/6000 = 0.067 = 6.7%

Step-by-step explanation:

[tex] {x}^{2} - 8x + 15 = 0 \\ (x - 3)(x - 5) = 0 \\ x = 3 \: or \: x = 5[/tex]

Answer:

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Answer:

a = 15yd is the answer.

Step-by-step explanation:

a = ?

b = 8yd

c = 17yd

By using the Pythagoras theorem,

a² + b² = c²

a² + 8² = 17²

a² + 64 = 289

a² = 289 - 64

a² = 225

a = 15

∴ a = 15yd is the length of the missing leg.

Answer:

1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex]

2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex]

3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex]

4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex]

5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex]

6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex]

7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex]

Step-by-step explanation:

Now we proceed to show all steps needed to demonstrate the trigonometric identity:

1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex] Given.

2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex] Identities for cosecant and cotangent functions.

3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex]             [tex]\frac{a}{b}+\frac{c}{b} = \frac{a+c}{b}[/tex]

4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex] Existence of additive inverse/Modulative property.

5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex]    Fundamental trigonometric identity.

6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex]   Factorization.

7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex] Existence of additive inverse/Modulative property/Result.

Answer:

me

Step-by-step explanation:

becaus im the bes guy

Answer:

467

Step-by-step explanation:

There were a total 1327 parking lots.

Out of these 816 were taken in the morning, 91 cars left in the afternoon, while 135 came back after lunch.

So there are,

[tex]Cars left = 1327 - (816 - 91 + 135) \\\\ = 1327 - 860\\ = 467[/tex]

Thus, there are 467 parking spots left on Monday afternoon.  

Answer:

60

Step-by-step explanation:

120 miles divided by 2 hours equals 60 mph

Answer:

child's ticket =  4.75        adult ticket=10.75.

Step-by-step explanation:

The cost of an adult ticket is 6 more than that of a child ticket, so will be denoted by c+6. Now, we are told that the cost of four child tickets and two adult tickets is 40.50, so we can put this in an equation and solve for c:

(c+6)+(c+6)+c+c+c+c=40.50

6c+12=40.50

6c=28.50

c=4.75

Therefore the cost of a child's ticket (c) is 4.75 and the cost of an adult ticket (c+6) is 10.75.

Answer:

the perimeter of the shape is 13cm

Step-by-step explanation:

Perimeter is the distance round a shape. As for polygons perimeter is the sum of all the sides. In this polygon, the sum of all the sides is 5cm + 1cm + 1cm + 2cm + 4cm which is equal to 13cm

Answer:

x=3

Step-by-step explanation:

4(x+1) -2x = 5-x

divid 4 by whats in parentheses

4x+4 -2x =5-x

combind 4x and -2x

2x+4=5-x

combind 2x and x

3x+4=5

subtract 4 from 5

3x=1

3÷3 and 1÷3

x=3

Answer:

x = 0.33

Step-by-step explanation:

4(x + 1) - 2x = 5 - x

4x + 4 - 2x = 5 - x

4x - 2x + 4 = 5 - x

2x + 4 = 5 - x

2x + x + 4 = 5 - x + x

3x + 4 = 5

3x = 5 - 4

3x = 1

3x ÷ 3 = 1 ÷ 3

x = 0.33

Answer: 1st Person

Step-by-step explanation: Mia is talking about herself

Answer:

1st person point of view

Step-by-step explanation:

Answer:

A. 1

Step-by-step explanation:

its A

Answer:

x has to be greater than or equal to 10 (x ≥ 10)

Step-by-step explanation:

x + 3 ≥ 13

x ≥ 13 - 3

x ≥ 10

Answer:

Some

Step-by-step explanation:

the mean absolute deviation would intersect and would there for be some but at far enough apart to not be a lot

Answer:

they can buy 2

Step-by-step explanation:

13 x 2 = 26

Answer:

Wait, the vector from despicable me or the math vector?

Step-by-step explanation:

If its the math vector than here: The correct answer is a vector

Answer:

Yes, she has 80 more inches

Why?

Because one yard is 36 inches and she has 5 yards and 5x36=180 and she has 100 inches and 180>100.

She has 80 more.

Hope it helps :)

Answer:

your answer is 117

Step-by-step explanation:

2460÷12=117

i hope this helps

have a nice day/night

mark brainliest please :)