14,246 is invested, part at 13% and the rest at 12%. If the interest earned from the amount invested at 13% exceeds the interest earned from the amount invested at 12% by $318.23, how much is invested at each rate? (Round to two decimal places if necessary

Answer: (a * 50%)^3

Step-by-step explanation:

length = a

(a * 50%)^3

If a would've been the length and would've been decreased to 50%, the volume would be equal to that expression.

By applying the law of cosine, the length of side CE is equal to 9.22 cm and the image of right-angled triangle BCE is shown in the image attached below.

In order to determine the length of side CE, we would apply the law of cosine because both side CE and side BC respectively represent the adjacent side and hypotenuse of right-angled triangle BCE.

cos(θ) = Adj/Hyp

Where:

Substituting the parameters into the formula, we have;

cos(θ) = CE/BC

cos(11.46) = CE/9.41

Cross-multiplying, we have:

CE = 9.41 × cos(11.46)

CE = 9.41 × 0.9801

CE = 9.22 cm.

By applying the law of cosine, the length of side CE is equal to 9.22 cm and the image of right-angled triangle BCE is shown in the image attached below.

Read more on law of cosine here: brainly.com/question/27613782

#SPJ1

Answer:

y=886000(1.04)^t

t=1 year so answer is 886000*1.04 = 921440

Answer:

fvbafdbai

Step-by-step explanation:

gyhghg

The information given about the probability shows that the expected maintenance cost is $22950.

From the information given, the repair hours and the probability are given.

In this case, the maintenance cost will be:

= (8 × 0.05) + (10 × 0.12) + (12 × 0.15) + (14 × 0.32) + (15 × 0.22) + (17 × 0.14) × $1700

= 13.50 × $1700

= $22950

In conclusion, the correct option is D.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

Answer:

y = -4x + 25

Step-by-step explanation:

You are given the slope, but you can find the slope using 2 points.  Slope is the change in y over the change is x.  Your two y's are 1 and 9.  Your two x's are 6 and 4.

1-9/6-2  

1 - 9 = -8

6-4 = 2

-8/2 is -4.

We want an equation in the form y = mx +b.  We have the m (slope), we now just need the b.  We take either of the ordinal points (4,9) or (6, 1) to find b.  They will both work, but the question tells us to us (4,9).  4 is the x and 9 is the y.

y = mx + b

9 = (-4)(4) + b  a negative times a positive is a negative.

9 = -16 + b  Add 16 to both sides

25 = b

We know now m which is -4 and b which is 25.  We plug them into the model y = mx + b

y = -4x + 25

It sounds like you're saying

[tex]z = \dfrac38 \left(\cos\left(\dfrac\pi8\right) + i \sin\left(\dfrac\pi8\right)\right)[/tex]

[tex]w = 2 \left(\cos\left(\dfrac\pi{16}\right) + i \sin\left(\dfrac\pi{16}\right)\right)[/tex]

The product [tex]zw[/tex] is obtained by multiplying the moduli and adding the arguments. In other words

[tex]z = |z| e^{i\arg(z)} \text{ and } w = |w| e^{i\arg(w)} \implies zw = |z||w| e^{i(\arg(z)+\arg(w))}[/tex]

where [tex]e^{it}=\cos(t)+i\sin(t)[/tex], so that

[tex]zw = \dfrac38\times2 \left(\cos\left(\dfrac\pi8+\dfrac\pi{16}\right) + i \sin\left(\dfrac\pi8 + \dfrac\pi{16}\right)\right) = \boxed{\dfrac34 \left(\cos\left(\dfrac{3\pi}{16}\right) + i \sin\left(\dfrac{3\pi}{16}\right)\right)}[/tex]

Answer:

I believe the answer is B, it makes the most sense

Step-by-step explanation:

The volume that is left to be filled is approximately: 3,332.6 in.³

Volume of a box = (length)(width)(height)

Given the following:

Volume of the bat = 82 cubic in.

Length of box = 30 in.

Width = 18.97 in.

Height = 6 in.

The remaining volume to be filled = volume of box - volume of bat

= (30)(18.97)(6) - 82

= 3,332.6 in.³

Learn more about the volume of a box on:

https://brainly.com/question/14957364

#SPJ1

Answer: 104 inches or 8' 8"

Step-by-step explanation:

1 foot = 12 inches

21 * 12 = 252 inches + 9 = 261 inches

13 * 12 = 156 + 1 = 157 inches

261 - 157 = 104 inches

104 / 12 = 8' 8"

Answer:

P = 4x+10

Step-by-step explanation:

So a parallelogram has 2 set of sides which are parallel and equal. So if you're given two adjacent sides, that means you're given a side from each set of sides, which are equal. This means the perimeter is simply: 2(x+3) + 2(x+2). This can be further simplified by distributing the 2 which gives you the equation: 2x+6+2x+4, which further simplifies to 4x+10.

When a relation is drawn on an xy-plane, another name for the set of all x values from its graph is a function.

It should be noted that a function simply means an expression or rule that defines a relationship between variables.

In this case, when a relation is drawn on an xy-plane, another name for the set of all x values from its graph is a function.

Learn more about graph on:

brainly.com/question/2855819

#SPJ1

Answer:

undefined - you can't divide by 0!

Step-by-step explanation:

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m = [tex]\frac{10-(-8)}{1-1}[/tex]

m = 18/0

In order to find the slope, we have the formula is

The change of Y (Also Y minus each other)

----------------------------------------------------------------- Over (As fraction

The change of X (Also X minus each other)

Now the first point is (1,10) The Y is 10

                                               The X is 1

Now the Second Point is (1,-8) The Y is -8

                                                     The X is 1

So now we plug the numbers in

10-(-8)

---------                which is equal to 18/0

1-1  

A quick tip is that you CAN'T divide by zero

Therefore the answer is unidentified, but now you know how to solve for slopes

Answer:

20

Step-by-step explanation:

Just replace n by -4

[tex]\frak{Hi!}[/tex]

[tex]\orange\hspace{300pt}\above0.8[/tex]

                                We have the expression-:

                                [tex]\boldsymbol{\sf{f(n)=n^2-n}}[/tex], and we should evaluate that for

                               [tex]\boldsymbol{\sf{f(-4)}}[/tex]. To do that simply put in the value for x-:

                              [tex]\boldsymbol{\sf{f(-4)=(-4)^2-(-4)=16+4=20}}[/tex]

done!!

[tex]\orange\hspace{300pt}\above3[/tex]

The correct simplification of x^12z^11/x^2z^4 is [tex]x^{10}z^{7[/tex]

The expression is given as:

x^12z^11/x^2z^4

Rewrite properly as

[tex]\frac{x^{12}z^{11}}{x^2z^4}[/tex]

Apply the quotient law of indices

[tex]x^{12-2}z^{11-4}[/tex]

Evaluate the difference

[tex]x^{10}z^{7[/tex]

Hence, the correct simplification of x^12z^11/x^2z^4 is [tex]x^{10}z^{7[/tex]

Read more about expressions at:

https://brainly.com/question/723406

#SPJ1

The person that would cover the most tile is Bruce because 1/4 is bigger than 1/6.

Bruce has been said to have the need for 1/4 square foot of tiles

Felicia on the other hand would need

1/6 for 1 sq foot

12 for 2 square foot

18 for 3 square foot

Bruce is knwon to cover

[tex]\frac{1}{4} x[/tex]

For felicia one square foot is covered by 1/6th

Now we have to know the one that is larger.

1/4 is bigger than 1/6

Hence we can conclude that Bruce is going to cover a larger are than Felicia.

Read more on areas here:

https://brainly.com/question/13875666

#SPJ1

Answer: The person who covered the most tiles is Bruce, because 1/4 is bigger than 1/9.

Step-by-step explanation:

Answer:

200 cupcakes

Step-by-step explanation:

12 cupcakes = 6%

12/x=6/100 6x=1200 x=200

so 200 cupcakes

hope this helps

The total number of cupcakes the bakery sells that day is 200.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

Given that,

A bakery sold 12 vanilla cupcakes in a day, which is 6% of the total cupcakes.

Let's say the total cupcakes were x

Then,

6% of x = 12

6 × x/100 = 12

Divide both sides by 6

x/100 = 2

Multiply both sides by 100

x = 200

Hence "The total number of cupcakes the bakery sells that day is 200".

For more about the percentage,

brainly.com/question/13450942

#SPJ2

If the cost of equity is 12% , cost of debt 10%, tax rate 25%, 20 million market value of debt , 60 million market value of equity then the weighted average cost of capital is 10.875%

Given cost of equity is 12% , cost of debt 10%, tax rate 25%, 20 million market value of debt , 60 million market value of equity.

We know that weighted average cost of capital= cost of equity* weight of equity+ cost of debt* weight of debt.

Cost of debt (consider after tax)=10%(1-25%)

=10%*0.75

=0.075

Weight of equity=60/80

=0.75

Weight of debt=20/80

=0.25

Weighted average cost of capital=12%*0.75+0.075*0.25

=0.09+0.01875

=0.10875

=10.875%

Hence the weighted average cost of capital is 10.875%

Learn more about weighted average at https://brainly.com/question/18554478

#SPJ4

Answer:

0.0000432

Step-by-step explanation:

In scientific notation, 10 raised to a negative number means that the number is less than 1. If the exponent is -5, the decimal place needs to be moved to the left 5 places. This makes the number in standard form: 0.0000432.

The final amount if $10 000 invested for 6 years at 4% compounded quarterly is $12,697

The formula for calculating the compound interest is given as:

A = P(1+r/n)^nt

Given the following parameters

A = 10000(1+0.04/4)^4(6)

A = 10000(1+0.01)^24

A = 10000(1.01)^24

A = 1.2697(10,000)

A = $12,697

Hence the final amount if $10 000 invested for 6 years at 4% compounded quarterly is $12,697

Learn more on compound interest here: https://brainly.com/question/24924853

#SPJ1

The probability of women will be 0.49.

Based on the information given, the probability women will be:

Number of women = 85 + 32 = 117

Number of men = 70 + 51 = 121

Total = 117 + 121 = 238

The probability of women will be:

= 117/238

= 0.49

The probability of women or summer will be:

= 0.49 × 155/238

= 0.32.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

The swimsuits that can be produced with the new partner is  23,043.

The swimsuits that can be produced without the partner is  16,521.

The equation that relates total cost, operating cost and cost per swimsuit together is

Total cost = operating cost + (cost per swimsuit x number of swimsuits)

500,000 = 120,000 + ($23x s)

500,000 - 120,000 = 23s

380,000 = 23s

s = 380,000 / 23

s = 16,521

Number of swimsuits that can be produced with the new partner:

(500,000 + 150,000)  = 120,000 + ($23x s)

650,000 = 120,000 + 23s

650,000 - 120,000 = 23s

530,000 = 23s

s = 530,000 / 23

s = 23,043

To learn more about division, please check: https://brainly.com/question/13281206

#SPJ1

Answer:

8*8*8*8*8

Step-by-step explanation:

Answer:

8 x 8 x 8 x 8 x 8

Step-by-step explanation:

8^5 is basically 8 times itself five times.

Answer:

30 yards for 24 vs 1 foot for 25 cents

so lets multiple the yards by 3 to see how many feet

90 feet = 30 yards

90 feet 24 dollars

now lets divide 90 by 24

3.75 so 3.75 per foot

so the second one is way better

Hope This Helps!!!

Answer:

150 feet at $.25 per foot ($.75 per yard) is the better buy.

Step-by-step explanation:

150 feet is equal to 50 yards. So 2 30-yard spools would be $48. $48 for 60 yards equals $.80 per yard. So 150 feet at $.25 per foot ($.75 per yard) is the better buy.

Answer:

0/6

Step-by-step explanation:

There are 6 numbers on the die: 1, 2, 3, 4, 5, 6

As you can see there is no 7, so the possibility is 0/6.

Answer: -8

Step-by-step explanation:

[tex]g(-1)=2(-1)+5=3\\\\f(g(-1))=f(3)=1-3^{2}=\boxed{-8}[/tex]

Answer:

b.) f(g(-1)) = -8

Step-by-step explanation:

Given following:

Start solving from the right while doing these sums.