Find x and y so that the quadrilateral is a parallelogram.

Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:

100 * (1+1.07)x = 400

Then we will take 400 and divide it by 100 getting:

1.07X = 4

Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X

Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.

2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula

where:

P (principal) is equal to hypothetical $100

E (e) is a mathematical constant, which is approximately 2.718

R (rate) is the interest rate, in our case it is 5.5%

T (time) is the time required for money to grow

A (amount) is the final amount desired, which is 4 times larger of $100, thus $400

We have the following:

400 = 100 * e0.055t

400/100 = e0.055t

4 = e0.055t

Then we will apply natural log to both sides of the equations and get the following:

ln(4) = ln(e0.055t)

Since e is the base of ln(x) the equation simplifies to:

ln(4) = 0.055t

Using the calculator to find ln(4) we are getting:

1.38629 = 0.055t

Lastly find t

t = 1.38629/0.055

t = 25.20535202

Plug the answers back to the original equation to verify the answers.

1st part of the question answer: t = 20.4895

2nd part of the question answer: t = 25.20535202

Answer:

B. Angle 5 and Angle 6 are complementary

Step-by-step explanation:

Definition of complementary- either of two angles who sum is 90°

As, Line AC and Line DB are perpendicular, Angle DO(the middle point)C is equal to 90°.

Angle DOC = 90°

Angle DOC = Angle 6 + Angle 5

Therefore, Angle 6 + Angle 5 are equal to 90°, so they are complementary.

Good luck!

Answer:

-8/3

Step-by-step explanation:

-8/3

you count up from when the line intercepts a secure point that would be 8

then 3 over

its negative because it points down on the right

Answer:

The answer is 26.2.

Step-by-step explanation:

To get the answer we take the miles done in the race, in this case 18.34 and he is 70% done the race. To find out how much total miles are in the race, we  convert 70% into a decimal which is 0.70.  then we have 18.34 and 0.70 to multiply. 18.34 x 0.70=26.2 Which is your answer.

Hope this helps!

Answer:

3036

multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 and so on,

multiples of 32 are 264, 396, 528, 660, 792, 924, 1056 and so on,

multiples of 253 are 253, 506, 759, 1012, and so on,

Its quite a time consuming process.

when all the numbers eventually meet together that is the answer.

Answer:

1 kg = 2.205 lb

34 X 2.205 = 74.97lbs

74.97 - 50 = 24.97

25 x 5 = $125

Answer:

6+x

Step-by-step explanation:

hope this helps

Answer:

x= -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Brainly plss?

Answer:

x=-1

use math papa calculator it helps :)

Answer:

50-4.25x=11.75

Step-by-step explanation:

So first rene has 50 dollars and has 11.75 left eventually, so that indicates this is a subtraction problem. Also Rene buys a latte cost 4.25 dollars for a certain amount of days so let x represent amount of days and your equation should be 50-4.25x=11.75

Answer:

38.95= 3 p+11.98

38.95-11.98=3p

26.97/3.=p

$8.99= p

Step-by-step explanation:

hope this helps

Answer:

$8.99 per pizza so p = $8.99

Step-by-step explanation:

$38.95 - $11.98 = $26.97

$26.97/3 = $8.99 = p

Answer:

Step-by-step explanation:

V=l*w*h

V=4* 2 1/2 * 3 1/2=4*5/2*7/2=35

Answer:

V=35

Step-by-step explanation:

V=Bh

v=volume

b=base(length & width)

h=height

V=(4)(2 1/2)(3 1/2)

V=(10)(3 1/2)

V=35

Answer:

(-9,5) or x = -9 and y = 5

Step-by-step explanation:

Hope this helps!

Answer:

Domain: [ 0,∞), {x|x ≥ 0}

Range: (-∞,-4], {yly ≤ -4}

Step-by-step explanation:

Answer:

Two Integers

Step-by-step explanation:

Given:

The Benjamin's distance from City A, t hours after leaving his house is

[tex]D=260-65t[/tex]

To find:

The slope of the equation and what is its interpretation in the context of the problem?

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m (coefficient of variable x) is slope and b is y-intercept.

We have, the equation

[tex]D=260-65t[/tex]

It is a linear equation and the coefficient of variable t is -65. So, the slope of the equation -65.

It means, the Benjamin's distance from City A is decreases at the rate of 65 units per hour or we can say the speed of Benjamin is 65 units per hour.

Therefore, slope of the equation -65. It means, Benjamin's distance from City A is decreases at the rate of 65 units per hour.

Answer:

The slope of the function is -65 which reveals the average speed that Benjamin travels, in miles per hour.

Step-by-step explanation:

The slope shows how much the distance to City A decreases each hour, implying that Benjamin is driving an average speed of 65 miles per hour.

Have a good day :)

Answer:

A,B, and C

Step-by-step explanation:

25%of 24 is 6, 24-6=18(new price)

A.24-(0.25×24)=24-6=18

B.(0.75)×24=18

C.(0.25×24)×3= 6×3=18

Answer:

5. [tex]y=\frac{1}{3}x-3[/tex]

6. [tex]y=\frac{1}{4}x+4[/tex]

7. [tex]y=-5[/tex]

8. [tex]y=x+5[/tex]

9. [tex]y=\frac{-1}{2}x+6[/tex]

10.[tex]y=-4x+2[/tex]

Step-by-step explanation:

5. Slope = [tex]\frac{-1-0}{6-9}[/tex] = [tex]\frac{-1}{-3}[/tex] = [tex]\frac{1}{3}[/tex]

[tex]y=\frac{1}{3} x+b\\0=\frac{1}{3}(9)+b\\0=3+b\\b=-3[/tex]

6. Slope => [tex]\frac{2-6}{-8-8} = \frac{-4}{-16} = \frac{1}{4}[/tex]

[tex]y = \frac{1}{4} x+b[/tex]

[tex]6=\frac{1}{4}(8)+b\\6=2+b\\b=4[/tex]

7. Slope => [tex]\frac{-5-(-5)}{-4-7}=\frac{0}{-11} =0[/tex]

[tex]y=-5[/tex]

8. Slope => [tex]\frac{4-7}{-1-2} = \frac{-3}{-3} = 1[/tex]

[tex]y=x+b\\7=2+b\\b=5[/tex]

9. Slope => [tex]\frac{10-4}{-8-4} = \frac{6}{-12}= \frac{-1}{2}[/tex]

[tex]y=\frac{-1}{2}x+b\\4= \frac{-1}{2}(4)+b\\4=-2+b\\b=6[/tex]

10. Slope => [tex]\frac{14-2}{-3-0} =\frac{12}{-3} =-4[/tex]

[tex]y=-4x+b\\2=-4(0)+b\\b=2[/tex]

Answer: C

Step-by-step explanation: Trust me on this ok?

Step-by-step explanation:

We know that

1m = 100cm

according to question

perimeter of rectangle = 2 (l+b)

22cm = 2 (100+b)cm

2×(100+b)cm = 22cm

100+b cm = 22/2cm

100+b cm = 11 cm

b = 100 -11 cm

thanks for ask question.

Answer:

jhvcvghvrxthrcftgv

Step-by-step explanation:

hkhvyyiytvhjh

Answer:

D

Step-by-step explanation:

It must be D  because first of all you need the 1.01 because its a 1 percent increase and because when you write out what it would be for lets say 3 years it would be (310*1.01)*1.01)*1.01 so if we drop the parentheses because this is all multiplication you would have 310*1.01^3 which would be 3=t

Answer:

the pollen grain deposited were initially estimated at 310 with a annual increase rate of 1%

thus, there is an increase by 1.01 every year

for the first year after the year the grains were deposited there will be an increase of 310 (1.01)

similarly the following year will have an increase of 310(1.01)

(1.01) or 310(1.01)2-this 2 is a square

also the third, fourth, fifth....year will have an increase of 310(1.01)3-this 3 is a square, 310(1.01)4-this four is a square, 310(1.01)5-also this five is a square

respectively and thus, t years, there will be an increase of 310(1.01)t

ans:D

Note I did not did this I received help

Answer:

y-Step-bstep explanation:

ok so

the triangle has 3 angle

45-45-90

one 45 points to x

that means the other side is also x

the 90 degrees points to 3

3=x√2

x=2.12132

The value of x in the given diagram is 3√2, Option C is correct.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle has 45-45-90 degrees.

We have to find the value of x in the given triangle.

The cosine function is ratio of the adjacent side by hypotenuse.

cos 45= 3/x

The value of cos 45 degrees is one divided by root 2.

1/√2 =3/x

Now apply the cross multiplication

x=3√2

Hence, the value of x in the given diagram is 3√2, Option C is correct.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ7

Answer:

x = [tex]\frac{4+5y}{y+3}[/tex]

Step-by-step explanation:

Given

y = [tex]\frac{4-3x}{x-5}[/tex] ( multiply both sides by x - 5

y(x - 5) = 4 - 3x ( distribute left side )

xy - 5y = 4 - 3x ( add 3x to both sides )

xy + 3x - 5y = 4 ( add 5y to both sides )

xy + 3x = 4 + 5y ← factor out x from each term on the left side

x(y + 3) = 4 + 5y ← divide both sides by y + 3

x = [tex]\frac{4+5y}{y+3}[/tex]

Step-by-step explanation:

-10, -14, -18, -22,...

[tex]a1 = - 10 \\ a2 = - 14 \\ d = a2 - a1 \\ d = - 14 - - 10 \\ d = - 14 + 10 = - 4 \\ an = a1 + (n - 1)d \\ a35 = - 10 + (35 - 1) \times ( - 4) \\ a35 = - 10 + 136 \\ a35 = 126[/tex]

Answer:

[tex]here \: a1 = - 10 \\ d = - 14 - - 10 = - 14 + 10 = 4 \\ a35 = a1 + 34d \\ a35 = - 10 + 34 \times 4 \\ = - 10 + 136 \\ = 126 \\ thank \: you[/tex]

Answer:

45.58

Step-by-step explanation:

Tax is 2.08

Tip is 8.7

Hope this helped

Answer:

used bedmas

Step-by-step explanation:

=(22)x49+6

= 1070+6

=1076