Michael deposited $2000 into a simple interest savings account. In eight years,
he has a total of $2520 in his account. What interest rate did the bank give
Michael when he opened his account?
a. 2.5%
b. 3.75%
C. 3.25%
d. 2.25%

Answer:

110 is the answer

Step-by-step explanation:

Answer:

Triangle inequality theorem:

Combined the inequality is:

The length of the third side can't be 2 or smaller or 18 or greater

Answer:

7.71

Step-by-step explanation:

add it up

The greatest common factor for 30 and 90 would be 30.

30 x 1 = 30 and 30 x 3 = 90

There is no letter j in the second term so rule j out.

The GCF of k^3 and k^2 would be k^2

The answer would be B. 30k^2

x≥−7. hope this helps you good luck

Answer:

c. 51,400

Step-by-step explanation:

25 x 2,000=50,000

2,000 x .7= 1,400

50,000+1,400=51,400

Answer:

c

Step-by-step explanation:

Answer:

4187 ft³

Step-by-step explanation:

[tex]\frac{4}{3}[/tex]πr³

π = 3.14

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

diameter = 2r

Radius = 20 / 2 = 10 feet

(4/3) x 3.14 x 10³ = 4187 ft³

Answer:

m∠LPM = 60°

Step-by-step explanation:

Answer:-6

Step-by-step explanation:maybe

Answer:

Then the midpoint is (2, -2)

Step-by-step explanation:

We treat the x- and y-coordinates separately, first finding the average (mean) of the x-coordinates and then the average of the y-coordinates:

xm = (-1 + 5)/2 = 2

ym = (1 - 5)/2 = -2

Then the midpoint is (2, -2)

Answer:

(2,-2)

Step-by-step explanation:

Two points are given to us and we need to find the midpoint of those two points. The points are

(-1,1) and (5,-5) . Let us say we have two points ( x1,y1) and ( x2 , y2) . The midpoint will be ,

[tex]\implies Midpoint =\bigg( \dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2} \bigg) \\\\\implies Midpoint = \bigg( \dfrac{-1+5}{2},\dfrac{1-5}{2}\bigg)\\\\\implies Midpoint = \bigg( \dfrac{4}{2},\dfrac{-4}{2}\bigg)\\\\\implies \red{Midpoint = ( 2 , -2) }[/tex]

Answer:

pencil: $2

marker: $0.75

eraser: $0.5

Step-by-step explanation:

Let the prices of one pencil, one marker, and one eraser be p, m, and e, respectively.

Gloria:

8p + 4m + 6e = 22         Eq. 1

Teresa:

5p + 7m + 8e = 19.25      Eq. 2

Rebecca:

5p + 5m + 4e = 15.75       Eq. 3

Subtract Eq. 3 from Eq. 2:

2m + 4e = 3.5                Eq. 4

Multiply Eq. 2 by 8 and subtract from it Eq. 1 multiplied by 5.

       40p + 56m + 64e = 154           Eq. 2 times 8

(-)     40p + 20m + 30e = 110            Eq. 1 times 5

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

                  36m + 34e = 44        

                  18m + 17e = 22              Eq.5

Now use Equations 4 and 5 as a system of two equations in two variables.

Multiply Eq. 4 by 18. Subtract Eq. 5 from it.

       36m + 72e = 63

(-)     36m + 34e = 44

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

                  38e = 19

e = 19/38

e = 0.5

Now substitute e = 0.5 into Eq. 4 to fond m.

2m + 4e = 3.5

2m + 4(0.5) = 3.5

2m + 2 = 3.5

2m = 1.5

m = 0.75

Substitute e = 0.5 and m = 0.75 into Eq. 1 to find p.

8p + 4m + 6e = 22

8p + 4(0.75) + 6(0.5) = 22

8p + 3 + 3 = 22

8p = 16

p = 2

Answer:

pencil: $2

marker: $0.75

eraser: $0.5

The cost of each of the items are: cost of pencil = $2, cost of marker = $ 3 / 4  and cost of eraser = $ 1 / 2

let

the cost of pencil = x

the cost of marker = y

the cost of eraser = z

Gloria bought 8 pencils, 4 markers, and 6 erasers. Therefore,

8x + 4y + 6z = 22

Teresa spent $19.25 buying 5 pencils, 7 markers, and 8 erasers. Therefore,

5x + 7y + 8z = 19.25

Rebecca bought 5 pencils, 5 markers, and 4 erasers for $15.75. Therefore,

5x + 5y + 4z = 15.75

Let'a combine the equation

8x + 4y + 6z = 22

5x + 7y + 8z = 19.25

5x + 5y + 4z = 15.75

Therefore,

x = 2, y = 3 / 4 and z = 1 / 2

Therefore, the cost of each item are as follows;

cost of pencil = $2

cost of marker = $ 3 / 4

cost of eraser = $ 1 / 2

learn more on equation here: https://brainly.com/question/14801823

Answer:

arc LM = 39°

arc MLN = 269°

Step-by-step explanation:

arc LM = 360° - 230° - 91° = 39°

arc MLN= 39° + 230° = 269°

Answer:

Given that the manufacturers claim is true, the probability that the sample mean area is 249.6 ft.² or less is 0.42074

Step-by-step explanation:

The manufacturer claims that mean amount of foil on each roll, μ = 250 ft²

The standard deviation of the measured amount of foil per roll, σ = 2 ft.²

The number of rolls tested by the restaurant, n = 10 rolls

The mean measured by the restaurant, [tex]\overline x[/tex] = 249.6

Taking the sample means as individual score, we have;

The z-score, of the sample mean is given as follows;

[tex]z=\dfrac{\overline x -\mu }{\sigma }[/tex]

At [tex]\overline x[/tex] = 249.6, we have;

z = (249.6 - 250)/2 = -0.2

Therefore, the probability for a mean less than or equal to 249.6, we have;

The probability, P = P(z < -0.2) = 0.42074

The probability that the sample mean area is 249.6 ft.² or less given that the manufacturers claim is true, P = 0.42074.

Answer:

i don no

Step-by-step explanation:

Answer:

3.0833

Step-by-step explanation:

i dont know how many 3's

Answer: 37/12

Step-by-step explanation: First you must turn 2 1/6 into a improper fraction, so 2x6 + 1 will get you 13 as the numerator and the denominator will be 6 so now we have 13/6 + 11/12. Now we must turn the denominator for 13/6 into 12 so, 13x2/6x2 so it is 26/12 so now the equation is 26/12 + 11/12 is 37/12.

Answer:

$460.92

Step-by-step explanation:

First year monthly salary = $4,718

Second year annual salary = $62,147

Second year monthly salary = Annual salary / 12

= $62,147 / 12

= $5,178.92

How much more per month will you earn your second year?

Amount of increase in second year monthly salary = Second year monthly salary - First year monthly salary

= $5,178.92 - $4,718

= $460.92

Answer:5.0

Step-by-step explanation:

Answer:

12 mi

Step-by-step explanation:

Answer:

List 2

Step-by-step explanation:

i got it right

Answer:

integer, real

Step-by-step explanation:

the answer would be integer, real

Answer:

Integer, whole

Step-by-step explanation:

Answer:

y^2/4x^4

Step-by-step explanation:

Answer:

1:

<A=½(arcJL)=½(70+120)=35+60=95°

[inscribed angle is half of central angle]

2:

<W=½arcVX=½(130)=65°

[inscribed angle is half of central angle]

3.

<E=½(arcDC)=½(90)=45°

[inscribed angle is half of central angle]

4.

<R=½(arcXZ)=½(110+62)=86°

[inscribed angle is half of central angle]

5.

<B=½(arc DC)=½×104°=52°

[inscribed angle is half of central angle]

6.

<K=90°

[inscribed angle in a diameter is complementary]

<K+<J+<L=180°(sum of interior angle of a triangle]

<L=180°-90°-53°=37°

again

arc JK=2×<L=2×37=74°

Answer:

June, Mitchell and Nick are the ones who drew the line of symmetry correctly because if you were to cut that in half, both sides remain the same shape and size.  Stephanie, Liz, and Brandon are wrong because if you cut that you get different shapes and sizes, they will not be identical.

Answer:

June did

Step-by-step explanation:

Symmetry is when both side are the EXACT SAME!!! June is the only one who has done it correctly

Answer:

6 cifras.

Step-by-step explanation:

Siempre que tengamos un numero que termina en "mil", entonces la primer parte la escribimos y luego ira una coma:

por ejemplo, en "ciento once mil trecientos catorce"

lo separamos en:

"ciento once mil" y "trecientos catorce"

y lo escribimos como:

"ciento once" , "trecientos catorce"

111,314

Ahora que definimos esto, vamos a nuestro problema.

Tenemos el numero "quinientos cincuenta y cinco mil"

El cual podemos escribir como:

555,000

Ahora simplemente podemos contar las cifras, tenemos 6.

las cuales son:

Cientos de miles = CM = 5

Decenas de miles = DM = 5

Un miles = UM = 5

Cientos = C = 0

Decenas = D = 0

Unidades = U = 0

Answer:

C. 7 ft

Step-by-step explanation:

I plugged it into a calculator

Answer:

p = 62

Step-by-step explanation:

(x^25)^2 = x^(25*2) = x^50.  Then we have:

(x^12)(x^50) = x^(12 + 50) = x^62

Therefore, p = 62