An Investment of $10,000 yields 8% interest compounded quarterly.

What will be the accumulated capital after 6 months?
What will be the accumulated capital after 5 years?

In the wοrd prοblem, He need 27 albums fοr tοtal trading cards.

Wοrd prοblems are οften described verbally as instances where a prοblem exists and οne οr mοre questiοns are pοsed, the sοlutiοns tο which can be fοund by applying mathematical οperatiοns tο the numerical infοrmatiοn prοvided in the prοblem statement. Determining whether twο prοvided statements are equal with respect tο a cοllectiοn οf rewritings is knοwn as a wοrd prοblem in cοmputatiοnal mathematics.

Here the given Tοtal number οf cards = 972

Number οf cards each album hοld = 36

Nοw ,Tοtal number οf album

=> Tοtal number οf card / Number οf cards each album hοld

=> 972/36

=> 27.

Hence He need 27 albums fοr tοtal trading cards.

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Answer:

-8

Step-by-step explanation:

I’ll substitute x for the blank space:

-2 = x + 6

-2 - 6 = x

x = -8

-8 + 6 = -2 ✅

Based on the amount he invested and the period of his investment, Ricardo's investment worth in 9 years will be $12,286.

The period of compounding is weekly so you first need to convert the interest rate to a weekly rate as well as the period of investment:

= 3.9% / 52 = 3.9/52%

= 9 years x 52 weeks per year = 468

Value of the investment after 9 years is:

= Amount x ( 1 + rate) ^ no. of periods

= 8,650 x (1 + 3.9/52%)⁴⁶⁸

= 12,285.599

= $12,286

In conclusion, the investment would be worth $12,286.

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Answer:

Step-by-step explanation:

|2i+3j|=√(2²+3²)=√(4+9)=√13

Answer:

-147 because -21x7 equals -147

Step-by-step explanation:

Answer:

5000

ghsjdjdjdjdjdjdjdkdkdkdkdkdkdkdk

Answer:

steps below

Step-by-step explanation:

From the graph: parabola pass (0,4) (3,4) (1,2)

equation: y = ax² + bx + c

(0,4): c = 4

(3,4): 9a + 3b + 4 = 4       9a+3b = 0       3a + b = 0   ... (1)

(1,2):  a + b + 4 = 2            a+b = -2   ... (2)

(1)-(2): 2a = 2        a = 1

(2):      b = -3

parabola equation: f(x) = x² - 3x +4

(a)  f(3) = 3² - 3*3 + 4 = 4

(b) normal line: parallel to tangent line y = 3x -5 at (3,4)

    slope of line N: -1/3   pass (3,4)

    equation of N: (y-4)/(x-3) = -1/3         y-4 = -1/3 x + 1

     line N: 1/3 x + y - 5 = 0

(c) picture attached

Answer:

x = 1 and it's undefined yaaaaaaaaaaa

This can be determined by ellipse formula. Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.

Given:

A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 80 feet, and the maximum height at the center of the tunnel is 30 feet.

Find:

The height of the tunnel 4 feet from the edge is.

Let us consider,

The center of the concerned ellipse at the centre of its width of 80 feet. Let us consider

[tex]\begin{alligned}2a&=80\\\\a&=\dfrac{80}{2}&=\bold{40\:feet}\end{aligned}[/tex]

Since the maximum height at the centre of the tunnel is 30 feet, we can say that b = 30 feet.

Now, considering the centre of the tunnel as origin, we can write the equation of the ellipse as:

[tex]\bold{\dfrac{x^{2} }{a^{2} } +\dfrac{y^{2} }{b^{2} } =1}[/tex]

If we need to find the height of the tunnel 4 feet from the edge, we are looking for the height of the tunnel at 40 - 4 = 36 feet  from the center of the tunnel.

Therefore, we need to find y from the equation of the ellipse, when x = 36 feet.Hence,

[tex]\begin{aligned}\dfrac{36^{2} }{40^{2} } +\dfrac{y^{2} }{30^{2} }&=1\\\dfrac{1296}{1600} +\frac{y^{2} }{900}&=1\\y^{2}&=(1-\frac{1296}{1600} )\times900\\y^{2}&=(1-0.81)\times900\\y^{2}&=0.19\times900\\y^{2}&=171\\y &=\sqrt{171\\\bold{y&=13.08}\end{aligned}[/tex]

Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.

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Answer:

This can be determined by ellipse formula. Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.

Step-by-step explanation:

because of the reason that the other one said so, and im answering cause i want more points and to maintain my streak, and brainly stop taking down my answers!

41

Step-by-step explanation:

3(8)+11+6=24+17=41

Answer:

.440

Step-by-step explanation:

Based on the number of people in the 30 - 39 age group, the probability of picking one who prefers Pretty Pink is 0.440.

This can be found as:

= Number of 30 - 39 year olds who preferred Pretty Pink / Total number of 30 - 39 year olds surveyed

Solving gives:

= 22 / (28 + 22)

= 22 / 50

= 0.440

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Answer:

I believe it is C

Step-by-step explanation:

sorry if I'm wrong I'm not sure

Table (2) is a probability distribution table.

Probability is the possibility of happening an event.

Note the probability can never be negative, therefore, discard the tables with negative values.

Hence, table (1) and table (3) cannot be probability distribution tables.

Now, the sum of all probabilities in a probability distribution is always 1.

The sum of probabilities in the table (2) is:

0.6 + 0.05 + 0.05 +0.3

=1.0

And, the sum of probabilities in the table(4) is:

0.4 + 0.4 + 0.2 + 0.1

=1.1

Therefore, table (2) is a probability distribution table.

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Answer:

b = 180 - a - c

Step-by-step explanation:

To solve for b given the literal equation, a + b + c = 180:

Subtract a and c from both sides:

a + b + c = 180

a - a + b + c - c = 180 - a - c

b = 180 - a - c

Answer:

6 feet per hour

Step-by-step explanation:

36 / 6 = 6

Step-by-step explanation:

45÷11= 4 R 1

between 4 and 5

4 1/11

4 1/11

Answer:

Step-by-step explanation:

$0.11

per ounce

1.32/12=0.11!!

Answer:   1.21

Since we know that $1.32 is 12 ounces all we need to do is figure out how much is in each ounce which is "0.11", so this means for each unit equals to "0.11" so

0.11 x 11=1.21 ounces            Good luck!

Answer:

12 in

Step-by-step explanation:

This is a answer can get better and than you do as long before I go home.

60 + (3x - 13) = (5x + 1)

60 + 3x - 13 = 5x + 1

3x - 5x = 1 - 60 + 13

-2x = -46

-2x / -2 = -46 / -2

x = 23

Answer: x = 23

Answer:

Step-by-step explanation:

Angle ECB or angle BCE should do it

Sums are incorrect

[tex]\\ \sf\longmapsto 3a+b-(6b-2)[/tex]

[tex]\\ \sf\longmapsto 3a+b-6b+2[/tex]

[tex]\\ \sf\longmapsto 3a-5b+2[/tex]

Answer:

Slope of the perpendicular line

m2=-5/2

Step-by-step explanation:

Answer: 24/10

Answer: 24/10Step-by-step explanation:

1) 1*1÷10 +1*1÷5+2÷20

2)(1*10+1)/10+(1*5+1)/5+2/20 3)11/10+6/5+2/20

4)11/10+6/5+1/10

5)11/10+12/10+1/10

6)(11+12+1)/10

7)24/10

Hope it helps!Please mark me brainest and follow me to get the answer faster

Answer:

(1,1)

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the sides of the figures

(1)

The figure has 5 congruent sides , then perimeter P

P = 5 ([tex]\frac{2}{5}[/tex] x + 1) ← multiply each term in the parenthesis by 5

  = 2x + 5

(2)

There are 4 congruent sides of ([tex]\frac{5}{2}[/tex] x - y) and 8 of y , then

P = 4([tex]\frac{5}{2}[/tex] x - y) + 8y ← distribute parenthesis by 4

  = 10x - 4y + 8y ← collect like terms

  = 10x + 4y

(3)

P = 2([tex]\frac{2a-b}{2}[/tex] ) + 2([tex]\frac{3b}{2}[/tex] ) + 2a ← distribute parenthesis

  = 2a - b + 3b + 2a ← collect like terms

  = 4a + 2b

Answer:

[tex]\frac{1}{3}[/tex](x+2)

Step-by-step explanation:

Hope this helps! :)

Step-by-step explanation:

1) Let the number be x.

2) To find one-third of a number, divide the number by 3 ,

3) x÷3.

Answer:

5 : 10

6 : 12

7 : 14

8 : 16

9 : 18

Step-by-step explanation:

10/5=2

there is only one number in between 7 and 5

so now you have to go up 2 each time in the right collum and go up once in the left collum.