Angle C is 60 degrees and angle CAB is 78 we need to find angle DAB

We have been given that a person places $6340 in an investment account earning an annual rate of 8.4%, compounded continuously. We are asked to find amount of money in the account after 2 years.

We will use continuous compounding formula to solve our given problem as:

, where

A = Final amount after t years,

P = Principal initially invested,

e = base of a natural logarithm,

r = Rate of interest in decimal form.  

Upon substituting our given values in above formula, we will get:

Upon rounding to nearest cent, we will get:

Therefore, an amount of $7499.82 will be in account after 2 years.

Answer:

5124.83

Step-by-step explanation:

r=5.7\%=0.057

r=5.7%=0.057

Move decimal over two places

P=4080

P=4080

Given as the pricipal

t=4

t=4

Given as the time

V=Pe^{rt}

V=Pe  

rt

V=4080e^{0.057( 4)}

V=4080e  

0.057(4)

Plug in

V=4080e^{0.228}

V=4080e  

0.228

Multiply

V=5124.8281\approx 5124.83

V=5124.8281≈5124.83

Answer:

So k is 75-12=63

Answer:

63

Step-by-step explanation:

subtract 75 from 12

Answer:

The number is A 0.43

hoped that helped

Answer:

p = - 10

Step-by-step explanation:

I hope this helps. Good luck

Answer:

56

Step-by-step explanation:

Basically you want to find out what is 70% of 80.

first you have to set up your problem

[tex]\frac{n}{80}[/tex] = [tex]\frac{70}{100}[/tex]

the first fraction would be the percent (70) over 100. (you always use 100)

The fraction to the left would be n over 80. the denominator (the number on the bottom) would be the whole amount. n would be the unknown number

To solve you would use the butterfly method. 80 x 70 and 100 x n. 80 x 70 is 5600 and 100 x n is 100n.

The final step is dividing. 5600 divided by 100 giving you 56

Answer + Explanation:

1. you want to rearrange the equation ( don't change the actual value ) to put it in the form y = mx + b. in this form, m represents the slope and b represents the y-intercept.

this is how you would do that:

4x - 3y = 12

subtract 4x from both sides

-3y = -4x + 12

divide both sides by -3

y = 4/3x - 4

this means the slope is 4/3 and the y-intercept is -4

2. do the same thing, rearranging into y = mx + b form

2y = 6x - 12

divide both sides by 2

y = 3x - 6

this means the slope is 3 and the y-intercept is -6

Answer:

He needs 8

Step-by-step explanation:

40 - 20 = 20

2.5 x 8 - 20

aaden needs to visit the movies 8 more times

Answer:

8

Step-by-step explanation:

20+2.5x=40

x equal the number of visits adam need to make to earn a free movie ticket

2.5x=40-20

2.5x=20

x= 20/2.5

x=8

Step-by-step explanation:

4 1/2 < 1.2x

4.5 < 1.2x

4.5/1.2 < x

3.75 < x

3 3/4 < x

Option 2 is the correct answer

Answer:

the second one x<3 3/4 is the answer

Answer:

[tex]360[/tex]

Step-by-step explanation:

[tex] \frac{5(14 - 2)^{2} }{2} = \frac{5 {(12)}^{2} }{2} = \frac{5(144)}{2} \\ \\ \frac{720}{2} = 360[/tex]

Answer:

The answer is option (d) 360.

Step-by-step explanation:

[tex]\implies{\tt{\dfrac{5(14 - 2)^{2} }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5(12)^{2} }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5(12 \times 12) }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5(144) }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5 \times 144 }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5 \times \cancel{144}}{ \cancel{2}}}}[/tex]

[tex]\implies{\tt{5 \times 72}}[/tex]

[tex]\implies{\tt{360}}[/tex]

[tex]\dag{\underline{\boxed{\sf{\red{360}}}}}[/tex]

Hence, the answer is 360.

[tex]\rule{300}{1.5}[/tex]

✧ BODMAS :

↝ BODMAS rule is an acronym used to remember the order of operations to be followed while solving expressions in mathematics.

It stands for :-

⠀ ⇝ B - Brackets,

⠀ ⇝ O - Order of powers or roots,

⠀ ⇝ D - Division,

⠀ ⇝ M - Multiplication 

⠀ ⇝ A - Addition

⠀ ⇝ S - Subtraction.

↝ It means that expressions having multiple operators need to be simplified from left to right in this order only.

✧ BODMAS RULE :

↝ First, we solve brackets, then powers or roots,then division or multiplication (whatever comes first from the left side of the expression), and then at last subtraction or addition.

⠀ ↠ Addition (+)

⠀ ↠ Subtraction (-)

⠀ ↠ Multiplication (×)

⠀ ↠ Division (÷)

⠀ ↠ Brackets ( )

[tex]\rule{300}{1.5}[/tex]

The miles Kathy can ride is 37 miles.

Given this equation, 1.50 + 0.50m = 20, in order to determine the miles Kathy can ride, the following steps would be taken:

Combine similar terms

0.50m = 20 - 1.50

Add similar terms together

0.50m = 18.50

Divide both sides of the equation by 0.50

m = 37 miles

To learn more, please check: https://brainly.com/question/13813779

Answer:

3^3+4^3=91

3*3*3=27

4*4*4=64

27+64=91

R = k(1/T) = k/T

when R = 60, T = 8

60 = k/8

k = 480

R = 480/T

so when T = 6

R = 480/6 = 80 mph

Answer:

120cm

Step-by-step explanation:

hope it helps pls mark brainliest

120cm² is the area of the trapezium. The two pairs of different sides of a parallelogram are parallel, making it a specific example of a trapezium.

A trapezium is indeed a quadrilateral having four straight sides, four corners, and one pair of opposing sides that are parallel to the other pair and the other pair that are not1,2,3,4,5. Bases refers to the parallel sides, whereas Legs 1, 2, 3, and 4 refer to the non-parallel sides.

The two pairs of different sides of a parallelogram are parallel, making it a specific example of a trapezium4. The Trapezium is one of the most popular shapes; when drawn on paper, it creates a two-dimensional shape that resembles a table. A water glass, a lighting fixture, a flower pot, or boats are examples of items that have a trapezium shape.

Area of trapezium =1/2×(sum of parallel sides)×height

                               = 1/2×(5+4)×12

                               = 120cm²

Therefore, 120cm² is the area of the trapezium.

To know more about trapezium, here:

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#SPJ7

Your question is incomplete but most probably your full question was,

The area of the trapezium shown below is

Answer:

Alex walked more

Step-by-step explanation:

Jenna: 12/5= 2.4

alex: 15/6=2.5

Answer: The answer is (B)

Explanation: The answer is (B) because, there are 2 zeros so that means that there would have to be a 2 behind the 10 and then there is 2,3,4,and 9. We take out the 9 and use the other numbers, bring over the decimal and now you have [tex]2.34 x 10^{2}[/tex] .

Let's cancel out from left to right

[tex]\\ \sf\Rrightarrow 0.02349[/tex]

[tex]\\ \sf\Rrightarrow 0.0235\times 10^{-1}[/tex]

[tex]\\ \sf\Rrightarrow 2.35\times 10^{-3}[/tex]

Option C is correct

Answer:

Step-by-step explanation:

a) 4th

b) 300

c) 2nd and 5th

Reminder = f ( 6 )

Thus :

[tex]f(6) = {6}^{4 } - 4( {6})^{3} + 1[/tex]

[tex]f(6) = 1296 - 864 + 1[/tex]

[tex]f(6) = 433[/tex]

Thus ;

[tex]remider = 433[/tex]

Answer:

99 and 48

Step-by-step explanation:

99+48=147

99-48=51

[tex]\huge \bf༆ Answer ༄[/tex]

For the given triangles to be congruent by SSS criterion, the sides HJ and LN should be equal ~

therefore correct choice is ~ C

[tex] \large \boxed{ \sf \: HJ \cong LN}[/tex]

The additional information needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: C. HJ ≅ LN

Recall:

Thus, in the two triangles given, the two triangles has:

Therefore, an additional information needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: C. HJ ≅ LN

Learn more about SSS Congruence Theorem on:

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Man just pay attention in school

Answer:

Step-by-step explanation:

Answer:

100- 68.50 = 31. 50 rupees

Step-by-step explanation:

that is 31 rupees and 50 paise

I may be wrong, but im pretty sure its C

Answer:

I might be wrong but I think it is B. or A.

Step-by-step explanation:

Answer: the answer is 6.876

Step-by-step explanation:

7.15-0.274=6.876

7.500-0.274=6.876

I hope this helps.

BRAINEST PLEASE

Answer:

  x = 30

Step-by-step explanation:

a) The sum of the angles along the line is 180°. That means ...

   2x° +90° +x° = 180°

__

b) Subtracting 90° and dividing by 3° gives ...

  3x° = 90°

  x = 30

Answer:

a) supplamentary angles b) X= 30

Step-by-step explanation:

A) Equal to 180 b) 90 divided by 3 gives you 30

Answer:

Omar saved 10 dollars in total

Step-by-step explanation:

total= 2.5*4

total= $10

Answer:

heres a graph

Step-by-step explanation:

Answer: there you go

Step-by-step explanation:

The statements that are true are:

a. The rate of change of segment T is decreasing

b. Difference between the rate of change of segments S and R is 3½

To determine which statements are true, find the rate of change of each segment in the graph.

Rate of change for Segment R:

Segment R is horizontal, therefore the rate of change = 0.

Rate of change for Segment S:

Rate of change = rise/run = 7/2 = 3½.

Rate of change for Segment T:

Rate of change = rise/run = 8/-8 = -1.

Rate of change for Segment U:

Rate of change = rise/run = 5/3 = 2⅔.

The rate of change of segment T is negative, therefore, it is decreasing. (Option 1 is true).

Difference between Rate of change of segment S and R = 3½ - 0 = 3½. (Option 2 is also true).

Rate of change for segment T, -1, is less than rate of change for segment S, 3½. (Option 3 is not true).

Option 4 is false. Rate of change for segment U is rather 2⅔.

Option 5 is also not true. Segment R has a rate of change of 0.

Therefore, the statements that are true are:

a. The rate of change of segment T is decreasing

b. Difference between the rate of change of segments S and R is 3½

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Answer:

60students

Step-by-step explanation: 4 x 15=60

This is because each bottle can make 4 slimes and if there are 15 bottles you multiply 4 by 15. Now you will receive 60.