Michelle opened a savings account for her emergency fund. She deposited $2000 into her account, which earns 2.10% interest, compounded monthly. How much will she have in the account after one year?

Answer:

12

It is a common Right triangle side - 9-12-15. its the same as a 3-4-5 triangle

Answer: 12

Step-by-step explanation:

15 is the hypotenuse (c), and 9 is one side (a)

a^2+b^2=c^2

1. Find Values of Squared Numbers: 81+b^2=225

2. Subtract 81 from 225: b^2=144

3. Find the square root of each side: b=12

Answer:

m= [-16- (-9)]/(11-17)= (-16+9)/-6= -7/-6

the slope=7/6

Step-by-step explanation:

the slope is difference between y/ difference between x

Step-by-step explanation:

[tex]Area \: of \: rectangle \\ = lenght \times breadth \\ = 7.1 \times 2.5 \\ = 17.75 \: {cm}^{2} \\ [/tex]

Answer:

5x+6=3

Step-by-step explanation:

"A number" is a variable.

"Sum" is addition.

"Equals 3" is =3.

"and six" relates to "sum".

So when you put these together it would be 5x+6=3

Answer:

[tex]H=\frac{V}{LW}[/tex]

see the explanation

Step-by-step explanation:

we know that

Using inverse operations, the  formula can be rearranged to solve for any one of the variables that might be  unknown.

we have

[tex]V=LWH[/tex]

The operation of multiplication is used in the formula

so

The inverse operation of division should be used to isolate the variable H

so

Divide both sides by LW

[tex]\frac{V}{LW}=\frac{LWH}{LW}[/tex]

simplify

[tex]H=\frac{V}{LW}[/tex]

The exact value of y is [tex]4\sqrt{3}[/tex].

Solution:

The attached below shows how the formula is written.

Using geometric mean,

Total base length (p + q) = 8

q = 6

p = 8 – 6 = 2

Let us first find the height of the triangle.

[tex]h^2=pq[/tex]

[tex]h^2=2\times6[/tex]

[tex]h^2=12[/tex]

Taking square root on both sides,

[tex]h=\sqrt{12}[/tex]

Using Pythagoras theorem,

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

[tex]y^2=(\sqrt{12})^2+6^2[/tex]

[tex]y^2=12+36[/tex]

[tex]y^2=48[/tex]

[tex]y=4\sqrt{3}[/tex]

The exact value of y is [tex]4\sqrt{3}[/tex].

Answer:

Switch the x- and y-coordinates

Step-by-step explanation:

Answer:

I think it's the third one. Because it will make both equation's x a opposite value (one is positive and one is negative).

Step-by-step explanation:

Because 2x+3y=1*5= 10x+15y=5 and then 5x+2y=8*-2 = -10x+4y=-16 both equations will cancel the Xs out and then you can solve for Y.

Answer:

The 3rd one

Step-by-step explanation:

Answer:

20% of a is 11, what is a

a =55

75% of b is 12, what is b

b = 16

80% of c is 20, what is c

c = 25

200% of d is 18, what is d

d = 9

Step-by-step explanation:

20% of a is 11, what is a

20a = 1100

a =55

75% of b is 12, what is b

75b = 1200

b = 16

80% of c is 20, what is c

80c = 2000

c = 25

200% of d is 18, what is d

200d = 1800

d = 9

Answer: 1 2/6 which needs to be simplify which is 1 1/3.

We can see here that 6/4 as a mixed number is =  1 (1/2).

A mixed number is a representation of a number that includes both a whole number and a fraction. It consists of an integer part and a fractional part. The integer part represents a whole number, while the fractional part represents a proper fraction.

To express 6/4 as a mixed number, you divide the numerator (6) by the denominator (4) and express the remainder as a fraction with the same denominator. In this case, 6 divided by 4 is 1 with a remainder of 2. So, 6/4 can be written as the mixed number 1 (2/4), which can be simplified to 1 (1/2).

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Answer:

I think it's probably 8$ Edit: 7.5$ i did the math wrong

Answer:

Can I know the units to this and what does the (5,5) represent? Like it's a dot on a coordinate plane or something else?

Step-by-step explanation:

Answer:

11679

Step-by-step explanation:

Increased by 229

First you need to find the 2%

So to find the 2%

2/100 * 11450=229

Now add 11450+229= 11679

Answer:

11,679

Step-by-step explanation:

Start off making the 2% into a decimal so you can multiply it with the full amount of applications for the year before. 2% in decimal is .02 because you move the decimal twice to the left. Now that you have .02, multiply it by 11,450. (11,450)*(.02) which should be 279. Now you have to add the 279 to the 11,450 because they were admitted as well. (11,450+279)= 11,679

Answer:

$12 hourly

Step-by-step explanation:

120 ÷ 10 = 12

Answer:

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:you divide both sides by 7/8, so x=3/4.

Answer:

3/4

Step-by-step explanation:

Given

3/4 x 7/8

Multiply through

21/32

Divide by 7

3/4

Step-by-step explanation:

The general equation of a circle with centre (h,k) and radius r

(x-h)²+(y-k)²=r²

Here, (x+5)²+(y-13)²= 10

=>{x-(-5)}²+(y-13)²=(√10)²

center: ( -5,13)

radius: √10

option C

Answer: 8 7/9 + 4 1/8 = 929 /72  = 12 65/72  ≅ 12.9027778

Step-by-step explanation:

Conversion a mixed number 8 7

9

to a improper fraction: 8 7/9 = 8 7

9

= 8 · 9 + 7

9

= 72 + 7

9

= 79

9

To find new numerator:

a) Multiply the whole number 8 by the denominator 9. Whole number 8 equally 8 * 9

9

= 72

9

b) Add the answer from previous step 72 to the numerator 7. New numerator is 72 + 7 = 79

c) Write previous answer (new numerator 79) over the denominator 9.

Eight and seven ninths is seventy-nine ninths

Conversion a mixed number 4 1

8

to a improper fraction: 4 1/8 = 4 1

8

= 4 · 8 + 1

8

= 32 + 1

8

= 33

8

To find new numerator:

a) Multiply the whole number 4 by the denominator 8. Whole number 4 equally 4 * 8

8

= 32

8

b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33

c) Write previous answer (new numerator 33) over the denominator 8.

Four and one eighth is thirty-three eighths

Add: 79

9

+ (33

8

) = 79

9

+ 33

8

= 79 · 8

9 · 8

+ 33 · 9

8 · 9

= 632

72

+ 297

72

= 632 + 297

72

= 929

72

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(9, 8) = 72. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 8 = 72. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - seventy-nine ninths plus thirty-three eighths = nine hundred twenty-nine seventy-seconds.

Answer: 12 65/72  

Step-by-step explanation:

1)  [tex]79/9+33/8[/tex]

Get your answer (as an improper fraction): [tex]929/72[/tex]

2) Turn [tex]929/72[/tex] into a mixed number and get 12 65/72

Answer:

[tex]50(5 - 3x)[/tex]

Step-by-step explanation:

The given expresion is

[tex]250 - 150x[/tex]

The greatest common factor is 50.

We rewrite using the distributive property to get;

[tex]50 \times 5- 50 \times 3x[/tex]We collect the highest common factor to obtain:

[tex]50(5 - 3x)[/tex]

Therefore when we factor out the greatest common factor from the given expresion we get;

[tex]50(5 - 3x)[/tex]

To apply the distributive property and factor out the greatest common factor from the expression 250-150x, we need to find the largest number that evenly divides into both numbers. In this case, the greatest common factor is 50, so the expression can be rewritten as 50(5 - 3x).

To factor out the greatest common factor from the expression 250-150x, we need to find the largest number that evenly divides into both 250 and 150. In this case, the greatest common factor is 50. We can rewrite the expression as 50(5 - 3x).

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Answer:

opiton b

Step-by-step explanation:

To find out which equation satisfies h(x) we need to check with each option

We plug in x  value

A) h(–1.25) = –0.5

Plug in -1.25 for x  in h(x) = 16^x

That is not true

B) h(–0.5) = 0.25

Plug in -0.5 for x  

That is true.

C)  h(0.75) = 12

Plug in 0.75 for x  

That is not true.

D)  h(1.25) = 20

Plug in 1.25 for x  

That is not true

Answer:

[tex]\large\boxed{(4+3i)^2+(6-i)^2=42+12i}[/tex]

Step-by-step explanation:

[tex](4+3i)^2+(6-i)^2\qquad\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2\\\\=4^2+2(4)(3i)+(3i)^2+6^2-2(6)(i)+i^2\\\\=16+24i+9i^2+36-12i+i^2\qquad i=\sqrt{-1}\to i^2=-1\\\\=16+24i+9(-1)+36-12i+(-1)\\\\=16+24i-9+36-12i-1\qquad\text{combine like terms}\\\\=(16-9+36-1)+(24i-12i)\\\\=42+12i[/tex]

Answer:

[tex]4 \frac{3}{6} = \frac{27}{6} [/tex]

The correct answer is B.

Answer:

  63.2 miles

Step-by-step explanation:

The given slope and point can let us use the point-slope form of the equation for a line:

  y = m(x -x1) +y1

  y = -0.95(x -50) +48

We want to find the value of y for x=34.

  y = -0.95(34 -50) +48 = 63.2

Jose had 63.2 miles remaining after driving 34 minutes.

Answer: 15.6

Step-by-step explanation:

Answer:

[tex]x=6^o[/tex]

Step-by-step explanation:

we know that

[tex]5x^o+(x+54)^o=90^o[/tex] -----> by complementary angles

solve for x

[tex]6x=90-54\\6x=36\\x=6^o[/tex]

Answer: 6000 km

Step-by-step explanation:

600 x 10

6000

When multiplying by 10 you add a zero to the end.

Answer:

6,000

Step-by-step explanation:

I think I'm not sure but if for every 1cm=600km then you multiple

1cm=600km

10cm=6,000km

Answer:

11, 10, 9, 8

Step-by-step explanation:

To find the first 4 terms substitute n = 1, 2, 3, 4 into the expression, that is

12 - 1 = 11

12 - 2 = 10

12 - 3 = 9

12 - 4 = 8

The first 4 terms are 11, 10, 9, 8

The first four terms of the sequence defined by the expression 12-n are 11, 10, 9, and 8 when substituting the first four natural numbers for n.

The first four terms of the sequence defined by the expression 12-n can be determined by substituting the first four natural numbers for n. Let's calculate the first four terms of the sequence step-by-step.

For n = 1: 12 - 1 = 11

For n = 2: 12 - 2 = 10

For n = 3: 12 - 3 = 9

For n = 4: 12 - 4 = 8.

Therefore, the first four terms of the sequence are 11, 10, 9, and 8.

Answer:-4, -3 1/2, 0, 1/4, 5/4, 7/4, 4

Step-by-step explanation: please give brainliest and thankyou