6. Abbi invested $1,000 in a certificate of deposit with a simple interest rate of 4%. Find the interest earned in 8 years. Then find the total of principal plus interest.​

Answer:

see explanation

Step-by-step explanation:

(a)

given 2 intersecting chords in a circle, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

FH × HG = DH × HE ( substitute values )

2y = 3 × 4 = 12 ( divide both sides by 2 )

y = 6

then

DE = 3 + 4 = 7

FG = 2 + y = 2 + 6 = 8

(b)

given 2 secants from an external point to a circle, then the product of one secant's external part and the entire secant is equal to the product of the other secant's external part and the entire secant , that is

AB × AC = AD × AE ( substitute values )

5(5 + x) = 6 × (6 + 6)

25 + 5x = 6 × 12 = 72 ( subtract 25 from both sides )

5x = 47 ( divide both sides by 5 )

x = 9.4

then

AE = 6 + 6 = 12

AC = 5 + x = 5 + 9.4 = 14.4

Answer:

232

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

DI is a radius

CJ is a diameter

The diameter is twice the radius

CJ = 2 * DI

CJ = 2 * 14

CJ = 28

Answer: here u go

Step-by-step explanation:

I accidentally deleted the thing that said answer but the answer is 170.7

Step-by-step explanation:

You multiply 1.5 times 21.5 you get 32.25 then you round and get 32.3 lastly you do 203 minus 32.3 to get 170.7.

Answer:

[tex]-\dfrac 65[/tex]

Step-by-step explanation:

[tex]~~~~~~~6x +5y = 10\\\\\implies 5y = 10-6x\\\\\implies y = \dfrac 15(10-6x)\\\\\implies y=-\dfrac65x+2\\\\\text{It is now in slope-intercept form(y=mx+c), where m is the slope.}\\ \\\text{Hence,}~ m = -\dfrac 65[/tex]

Answer:

AB = 6.97 (nearest hundredth)

Step-by-step explanation:

Sine Trigonometric Ratio

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

Given:

Substitute the given values and solve for AB:

[tex]\implies \sf \sin(\theta)=\dfrac{O}{H}[/tex]

[tex]\implies \sf \sin(35^{\circ})=\dfrac{4}{AB}[/tex]

[tex]\implies \sf AB=\dfrac{4}{\sin(35^{\circ})}[/tex]

[tex]\implies \sf AB=6.973787182...[/tex]

Therefore, AB = 6.97 (nearest hundredth)

Answer:

( r^-7 )^6 = r^-42 ( in exponential form )

        ( or )

1 / r^42 ( in fractional form )

Step-by-step explanation:

( r^-7 )^6

Formula : -

( a^m )^n = a^( mn )

Here,

a = r

m = - 7

r = 6

mn

= - 7 * 6

= - 42

Hence,

( r^-7 )^6 = r^-42 ( in exponential form )

        ( or )

( r^-7 )^6 = 1 / r^42 ( in fractional form )

Answer:

Right angles.

Step-by-step explanation:

When an angle's measurements equal 90 degrees, it is called a right angle.

Answer:

Right angles

Step-by-step explanation:

For instance a a triangle with an angle of 90 ° is a right trangle because is has a right angle in it.

Answer:

Step-by-step explanation:

The brick layer builds ( 1 wall ) / ( 6 hrs )

That's the same as ( 1/6 wall ) / ( 1 hour )

------------------------------------

The apprentice builds ( 1 wall ) / ( 16 hrs )

That's the same as ( 1/16 wall ) / ( 1 hour )

--------------------------------------

Let t = the time that the brick layer works

t + 5 = the timer the apprentice works

-----------------------------------------

( brick layer's rate ) x ( brick layer's time ) +

( apprentice's rate ) x ( apprentice's time ) = 1

( 1 is the whole job )

-----------------------------------------

(1/6) · t + (1/16) · (t + 5) = 1

Multiply both sides by 48

8t + 3t + 15 = 48

11t = 33

t = 3

t + 5 = 8

the brick layer works 3 hrs

The apprentice works 8 hrs

----------------------------

Check:

(1/6) · t + (1/16) · (t + 5) = 1

(1/6) · 3 + (1/16) · (3 + 5) = 1

1/2 + 1/2 = 1

Answer:

Step-by-step explanation:

Answer:

[tex]\sf m = \dfrac{2}{5}[/tex]

Explanation:

A system of equations will have no solution when:

Meaning they shall have the same slope but different constant.

[tex]\sf y = \dfrac{2}{5} x - 7[/tex]       Here slope: 2/5  and constant: -7

Another equation:

[tex]\sf y = \dfrac{2}{5} x + 3[/tex]       Has the same slope but different constant.

Answer:

m = 2/5

Step-by-step explanation:

Understanding :

A system of equations have no solutions when they do not cross/intersect each other at any point.

This is only possible when the slopes of the lines are equal.

Solution :

Hence,

Answer:

C. Since AB = CD = √41, the figure is a rectangle.

Explanation:

All of them AD, CB, DB, CA have a slope of 0.

Here measure the length units, 5 units horizontal and 4 units vertical. Thus we can conclude it is a rectangle.

Find diagonal Length:

Since AB = CD = √41, the figure is a rectangle.

Answer:

A clockwise rotation of 90° about the origin

Answer:

1600π cm^2.

Step-by-step explanation:

S. A. of a sphere = 4πr^2

= 4 π 20^2

=  1600π cm^2

the left is number 1 graphed. middle is number 2.

right is number 3.

Answer:

state the formula which is S.I =P×T×R

Answer:

the answer is 1.9 ^^

Answer:

-34........................

Answer:

x = 18

Step-by-step explanation:

Let's find x :-

[tex] {x}^{2} - 11 + 3 = 180^{o} [/tex]

[tex] {x}^{2} - 8x = 180[/tex]

[tex] {x}^{2} = 8x - 180 = 0[/tex]

[tex](x - 18)(x + 10)[/tex]

[tex]x = 18[/tex]

Answer:

  -145°, -325°

Step-by-step explanation:

The principal value of the arctangent of 0.7002 is 35°. The tangent function is periodic with a period of 180°, so the general solution is ...

  y = (35 +180k) degrees . . . . . where k is an integer

Values from the given list include ...

  -145°

  -325°

_____

Additional comment

  +35° and +215° would also be part of the general solution

Answer:

x = 3

Step-by-step explanation:

x / 4 = 6 / 8

4 time    2   = 8

4a = 8    divided both side by 4    4a / 4 = 8 / 4      a = 2

so

x time    2   = 6

2a = 6    divided both side by 2    2a / 2 = 6 / 2      a = 3

Answer:

2740 is your total; p = 40n + 1900 is your equation.

Step-by-step explanation:

"p" represents total pay; "n" represents the number of copies he sells.

Base salary is 1900, and each copy sold gives him an extra 40

p = 40n + 1900 is your equation.

If he sells 21 copies. Plug in 21 for n

p = 40n + 1900

p = 40(21) + 1900

Simplify. Remember to follow PEMDAS. First, multiply, then add.

p = 40(21) + 1900

p = 840 + 1900

p = 2740

~

Answer:

1 3/5

Step-by-step explanation:

brainliest pleaseeee

Answer:

if im not wrong all answers are 7

Step-by-step explanation:

if you add all the numbers u get 49 and if u divide by 7 cuz u have seven numbers. you should get 7 thats you mean. then for median if u put them from least to greatest ur middle number would still be seven and then your mode would be seven since seven shows up the most.

Answer:

2.5 cups

Step-by-step explanation:

[tex]\frac{2}{12} =\frac{x}{15}[/tex] (x is the amount of cups of zucchini you will need to feed 15 people)

This proportion is showing that 2 cups of zucchini can feed 12 people, and we will use it to find how much zucchini we will need to feed 15 people.

Cross multiply

30 = 12x

divide both sides by 12 to isolate x

[tex]\frac{30}{12}[/tex] = x

2.5 = x

That is your answer

- Kan Academy Advance

Answer:

The answer is Vertex

Step-by-step explanation:

Answer:

y=−7x2+98x−337 is the answer