What is the cos(A) as a fraction

9514 1404 393

Answer:

  a) $169,234.59

  b) $19,234.59

Step-by-step explanation:

The first question you must answer is whether Colleen will earn interest on her first deposit in the first year. That is, does she deposit the money at the first of the year or the end of the year?

The usual "annuity" formula assumes the deposit is at the end of the year, so no interest at all is earned on the last deposit made. If the deposit is at the first of the year, an "annuity due" formula is used, that multiplies the entire ending account value by the annual multiplier, 1.017 in this case.

__

a) Assuming an "annuity", the formula is ...

  A = P((1 +r)^t -1)/r . . . . . for annual compounding at rate r for t years

  A = $10,000(1.017^15 -1)/0.017 = $169,234.59 . . . . ending balance

__

b) Colleen has made 15 deposits of $10,000, for a total of $150,000, so the amount of interest earned is ...

  $169,234.59 -150,000 = $19,234.59 . . . . interest earned

Answer:

Solution in photo

Step-by-step explanation:

The statement that is correct is Cotangent is the reciprocal of tangent.

The term cotangent can be written as  ( cot ⁡ ). It is said to be the reciprocal of the tangent and It is one whose ratio of its adjacent side is said to be the opposite side that is found in a right triangle.

Therefore, we can say that The statement that is correct is Cotangent is the reciprocal of tangent as it is the correct one among the options.

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Answer:

Step-by-step explanation:

Adults = x, Children =y

3y=x

Answer:

-1 = 11

0 = 13

1 = 15

2 = 17

5 = 23

Step-by-step explanation:

2 (-1) +13 = 11

2 (0) +13 = 13

2 (1) +13 = 15

2 (2) +13 = 17

2 (5) +13 = 23

Answer:

y=1/3x

When x of the line is -3, y of the line must be -1.When x of the line is 6, y of the line must be 2. y=1/3x+b. b is what we want, the 1/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (-3,-1) and (6,2).(-3,-1). y=mx+b or -1=1/3 × -3+b, or solving for b: b=-1-(1/3)(-3). b=0.b came out to be zero, so there is no "+b" term.

Answer:

x=5 and n=36

Step-by-step explanation:

For the first question: 32/8 = 4/1

4/1 = 20/x

4x = 20

x = 5

For the second question: 63/81 = 21/27

21/27 = 28/x

21x = 756

x = 36

Solution :

Here, [tex]$ \hat p$[/tex] = sample proportion of red outcomes

[tex]$ \hat p =\frac{58}{100}$[/tex]

[tex]$ \hat p$[/tex] = 0.58

So we have to test,

[tex]$H_0 : p = 0.5$[/tex]

V/S    [tex]$H_a: p \neq 0.5 $[/tex]

The test statistic is

[tex]$z = \frac{\hat p - p}{\sqrt{\frac{p(1-p)}{n}}}$[/tex]

[tex]$z = \frac{0.58 - 0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}$[/tex]

  [tex]$=\frac{0.08}{0.05}$[/tex]

  = 1.600

P value using the z table is 0.110

So P value greater than 0.05

Therefore, there is no evidence that roulette wheel is out of balance.

SoukaSoukaSoukaSoukaSoukaSoukaSoukaSoukaSoukaSouka

Answer:

The same letter lol

Step-by-step explanation:

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.

Answer:

57°

Step-by-step explanation:

[tex] \theta = {sin}^{ - 1} \bigg( \frac{36}{43} \bigg) \\ \\ \theta = 56.846591584 \degree\\ \\ \theta \approx 57 \degree\\ \\ [/tex]

Answer:

Answer:

A

Step-by-step explanation:

96 ounces = to 6 pounds

7-6=1

Answer:

<1=55°

Step-by-step explanation:

180-125=55

Ms Patel bought 4 pliers, 2 wrenches and 1 plier set.

        4:2:1

        PLIERS: 4 × 17.50 = $70

        WRENCHES: 2 × 21.50 = $43

        CHISEL SETS: 1 x 28 = $28

        TOTAL = $70 + $43 + $28 = $141

Mrs Patel purchased 2 wrenches, 4 pliers, and 1 chisel set for her shop.

I hoped this helped!

Step-by-step explanation:

So if there are 3 sizes, 2 flavors and 2 Toppings to choose from, then there are

3 * 2 * 2 possible combinations

For example:

S = 3 sizes

F = 2 flavours

T = 2 toppings

Then there are 3 * 2 * 2 = 12 possible combinations

Answer:

a. reflection across the y-axis

Answer:

first you find out how much will 1/2 kg of carrot cost, that way you can multiply it by 3 to get what 3/2 cost.

So, 3÷ 5 = 0.6 per 1/2 kg. Then 0.6 × 3 = 1.8 dollars for 3/2 kg

The ratio is 2 : 5 and the smaller portion is 100

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount be A = $ 350

Now , the ratio is 2 : 5

So , the total ratio is = 2x + 5x

                                 = 7x

And, the value 7x =  total amount

So , 7x = 350

Divide by 7 on both sides of the equation , we get

x = 50

So , the number 350 in the ratio 2 : 5 is 100 : 250

Hence , the smaller portion is 100

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Answer:

B. $3.56

Step-by-step explanation:

You take $28.48 and divide it by 8

28.48 / 8 = 3.56

/ = divide

Answer:

Product for A = 046

Product for B = 0230

Sum for C = 0.0276

Step-by-step explanation:

We need to multiply the terms and find the answers

First we multiply 2 with 0.23, then we multiply 1 with 0.23

   0.23

x    0.12

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

     046

   0230

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

    .0276

Since there are 2 numbers after decimal in 0.23 and same for 0.12, so we place the decimal so that there are 4 decimal places.

Counting of decimal will start from the units place.

So, Product for A = 046

Product for B = 0230

Sum for C = 0.0276

[tex]\textsf{Hey there!}[/tex]

[tex]\text{Select the expressions that are equicalent to 8(6m)}\downarrow[/tex]

[tex]\text{We DON'T have any like terms so we CAN'T pair them off!}[/tex]

[tex]\mathsf{8(6m) \rightarrow 8 \times 6 \times \ m}\\\mathsf{8\times 6 = 48}}\\\mathsf{48\times\ m = 48m}\\\\\\\boxed{\boxed{\mathsf{Answer: \bf{48m}}}}\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Answer:

the rate of chnge would be 9/11x

Step-by-step explanation:

here's a pic of my process:

Answer:

90

Step-by-step explanation:

$5.29  * 16.3 = $86.227

=$86.23

86.23 could be rounded up to 90

Answer:

44 magazines need to be sold

Step-by-step explanation:

Y=Mx+b

400=12x-124

524=12x

43.6667 or 43 (2/3)

round up since you cant sell 2/3 of a magazine

Answer:

the inequality is 124+12x≤400

Step-by-step explanation:

x=23

hope this helps

Answer:

a = 4

b = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define Systems

a + 4b = -4

a + 10b = -16

Step 2: Rewrite Systems

a + 4b = -4

Step 3: Redefine Systems

a = -4 - 4b

a + 10b = -16

Step 4: Solve for b

Substitution

Step 5: Solve for a

Given:

Center of hyperbola is at (h,k).

To find:

The standard forms of a hyperbola.

Solution:

We know that, standard forms of a hyperbola are

1. For Horizontal hyperbola:

[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]

2. For Vertical hyperbola:

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]

where, (h,k) is center of the hyperbola.

Therefore, the correct option is B.