An account is compounded continuously at 4.5% interest. What was the initial amount deposited if after 8 years it is worth $1720?

Answer:

[tex]-\infty < y < -2[/tex]

Step-by-step explanation:

Given

The attached graph

Required

The range of the graph

From the graph we can see that the curve points down towards the y-axis,

This means that y starts from a [tex]-\infty[/tex] number

Coming up, the curve stops increasing at 2 and becomes horizontal; This means that y ends at 2

Hence, the range is: [tex]-\infty < y < -2[/tex]

Answer:

9 yrs ago

Step-by-step explanation:

(50-x)(20-x) = 451

x^2-70x + 1000 = 451

x^2-70x + 549 = 0

(x-9)(x-61) = 0

x = 9 (if it was 61 yrs ago, the father and son both wouldnt be a live)

The figure shown above is triangle. The area of the triangle is a= 1/2base times height.

Base  is 10 .  The height is 6.

A= 1/2bh

A= 1/2*10*6

A= 1/2*60

A= 30

Or you can find the area of the triangle separately and add them up.

First triangle :

The half of the base is 10/2= 5

B= 5  H= 6

A= 1/2*6*5

A=  15

Second triangle :

b= 5

h= 6

a= 1/2*5*6

a= 15

Add up them both areas 15+15= 30

Answer:

$500=$4c × $3p

because $4 each is 4 times c. and the same for the popcorn

Answer:

agree with answer above

$4c + $3p = $500

Answer:

See attached photo!

Step-by-step explanation:

Answer:

b = 20 cm.

Step-by-step explanation:

Define and explain:

This is a right triangle, so the Pythagorean Theorem applies.

The Pythagorean Theorem states that the sum of the squared legs will equal the squared length of the hypotenuse.

The legs of a triangle are the sides that form the right angle.

The hypotenuse is the longest side; the hypotenuse is always diagonal from the small square indicating a right angle.

Solve:

[tex]a^2+b^2=c^2[/tex]

[tex]a,b-legs[/tex]

[tex]c-hypotenuse[/tex]

[tex]15^2+b^2=25^2[/tex]

[tex]225+b^2=625[/tex]

[tex]625-225=400[/tex]

[tex]b^2=400[/tex]

[tex]b=20[/tex]

Conclude:

Therefore, the length of the unknown side is 20 centimeters.

Answer:

The answer is probably A, but you typed it in wrong so I do not know. I can only guess because the others do not seem to be correct either. I have graphed them on Desmos. The screenshot is below.

Step-by-step explanation:

Answer:

Angle M=14.25°

Step-by-step explanation:

Sin(M)=16/65

Sin^-1(16/65)=14.25°

Answer:

14.99 + 25.99 - X = 30.98

14.99 + 25.99 - X

Step-by-step explanation:

They all relate to what the question is asking, and make the most sense

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:I found the answer on this web[tex]^{}[/tex]site. It seems correct! Link Below!ly/3fcEdSx

bit.[tex]^{}[/tex]

Answer:

Where is the picture

Step-by-step explanation:

9514 1404 393

Answer:

  x = 6.4

Step-by-step explanation:

The corresponding sides are proportional, so we have ...

  horizontal/vertical = x/(5+3) = 4/5

  x = 8(0.8) = 6.4 . . . . . . multiply by 8

Answer:

look at the picture i have sent

Answer:

86

Step-by-step explanation:

Answer:

Percent Decimal Fraction

331/3% 0.333. ..1/3

Answer:

Height = 4 cm and slant height = 5 cm

Step-by-step explanation:

Given that,

The surface area of the cone, A = 75.4 cm²

Radius, r = 3 cm

The surface area of the cone is given by the formula as follows :

[tex]A=\pi r^2+\pi rl[/tex]

Put all the values,

[tex]75.4=3.14\times 3^2+3.14\times 3\times l\\\\75.4=28.26+9.42l\\\\75.4-28.26=9.42l\\\\47.14=9.42l\\\\l=\dfrac{47.14}{9.42}\\\\l=5\ cm[/tex]

Also,

[tex]l^2=r^2+h^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{5^2-3^2}\\\\h=4\ cm[/tex]

Hence, the height of the cone is 4 cm and the slant height is 5 cm.

Answer:

y=10

Step-by-step explanation:

Substitute -4 in place of x

y = -4*-4-6

y=10

Answer:

i thiiiink its b

Step-by-step explanation:

Answer:

A - since the median can be any number we know of. B - Again the median can be any number we know of, since it is a undetermined amount. E - The range can be 10 flights, this is because it is not a determiend value, and it is possible for the value to be 10.

Step-by-step explanation:

Wrong answer reasoning:

The mode doesnt need to be 9 if there is more than 1 mode, so that isnt it. Eliminating D. The mean can most definatly be determinded if we know the values. This elimnates C. The mean can be 6.875, but we dont know, so we can assume it IS 6.875. This eliminates F.

Hope this helps!

Answer:

Step-by-step explanation:

Given:

[tex]\frac{AD}{DC}=\frac{BE}{EC}[/tex]

To Prove:

AB║DE

Solution:

Since, corresponding sides of ΔACB and ΔDCE are proportional,

[tex]\frac{AD}{DC}=\frac{BE}{EC}[/tex]

Both the triangles will be similar.

ΔACB ~ ΔDCE [By SAS property of similarity]

Therefore, ∠1 ≅ 2 [CPCTC]

Since, ∠1 and ∠2 are the corresponding angles

Therefore, AB║DE [Converse of corresponding angles theorem]

Answer:

m<G = 59°

Step-by-step explanation:

Recall: the angle formed outside a circle when 2 secants intercept is equal to half of the difference of the intercepted arcs

m<G = ½(arc TE - arc HF)

m<G = ½(175 - 57)

m<G = ½(118)

m<G = 59°

Answer:

JUST LOOK UP THE FORMULAS FOR THE VOLUME OF A CYLINDER AND PLUG IT IN.

Step-by-step explanation:

Answer:

1. 263.11

2. 47.95

3. 3166.73

4. 3.56

Step-by-step explanation:

sorry if I'm late

Answer:

The area of the rectangle is 4 sq yards.

Step-by-step explanation:

Given that,

The length of the rectangle, [tex]L=\dfrac{2}{13}\ yards[/tex]

The breadth of the rectangle, B = 26 yards

We need to find the area of the rectangle. The formula for the area of a rectangle is given by :

A = LB

Put all the values,

[tex]A=\dfrac{2}{13}\times 26\\\\A=2\times 2\\\\A=4\ yd^2[/tex]

So, the area of the rectangle is 4 sq yards.

Answer:

Get to Know the Parts of a Compass. Baseplate: Clear, so you can see the map below it, it has at least one straight edge for taking bearings and

Adjust Declination. North on a map is easy to find (it’s at the top)

Orient Your Map

Take a Bearing

I hope this helps :3

Answer:

b is right answer 225 in saqu

Answer:

x  = 73

Step-by-step explanation:

A circle is 360 degrees

4x-5 + x = 360 degrees

5x - 5 = 360 degrees

5x = 365 degrees

Divide by 5

5x/5 = 365/5

x =73

Step-by-step explanation:

please I'm not sure for the numbers 3 and 2.

for number 10,

2/3x -4 = 3 +5

2/3x = 8+4

2/3x = 12

2x= 12 x 3

2x = 36

x = 18

and for number 4

(y+1)/5 - (y-2)/4 = -1

to clear out the fraction, multiply throughout by 20

after multiplying, we have

4(y+1) -5(y-2)= -20

4y+4-5y+10 =-20

14 -y = -20

-y = -20 + 14

-y = -6

y = 6

Answer:

9 necklaces with 40 extra beads

Answer:

Kyra will be able to make 9 necklaces using 810 beads. She'll have 40 beads left.

Step-by-step explanation:

850/90= 9 r40