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3 years ago

An investor has an account with stock from two different companies. Last year, her

Mathematics

1 answer:

lara [203]3 years ago

6 0

Answer:

4.5%

Step-by-step explanation:

800(1-0.01)=\color{green}{792}

800(1−0.01)=792

6180(1-0.05)=\color{blue}{5871}

6180(1−0.05)=5871

Last Year This Year

Stock A 800 792

Stock B 6180 5871

Total 6980 6663

\text{Find overall decrease:}

Find overall decrease:

6980(1-r)=6663

6980(1−r)=6663

\frac{6980(1-r)}{6980}=\frac{6663}{6980}

6980

6980(1−r)

6980

6663

1-r=0.954585

1−r=0.954585

-r=-0.045415

−r=−0.045415

Subtract 1

r=0.045415

Divide by -1

\text{Final Answer: }4.5\%

Final Answer: 4.5%

Multiply by 100 and round to nearest 10th

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Translate the sentence into an inequality.

Luda [366]

Answer:

5 + c > -22

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Inequalities

Step-by-step explanation:

Step 1: Define

Sum of 5 and c is greater than -22

↓ Identify

Sum = addition

5 + c

Is greater than = inequality

Add them all together:

5 + c > -22

8 0

3 years ago

Which equation represents a circle that contains the point (-5, 3) and has a center at (-2, 1)? Distance formula: vaa -02 (x - 1

natali 33 [55]

Given:

The center of the circle = (-2,1).

Circle passes through the point (-5,3).

To find:

The equation of the circle.

Solution:

Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$r=\sqrt{(-5-(-2))^2+(3-1)^2}$

$r=\sqrt{(-5+2)^2+(2)^2}$

$r=\sqrt{(-3)^2+(2)^2}$

On further simplification, we get

$r=\sqrt{9+4}$

$r=\sqrt{13}$

The standard form of a circle is:

$(x-h)^2+(y-k)^2=r^2$

Where, (h,k) is the center of the circle and r is the radius of the circle.

Substitute h=-2, k=1 and $r=\sqrt{13}$ .

$(x-(-2))^2+(y-1)^2=(\sqrt{13})^2$

$(x+2)^2+(y-1)^2=13$

Therefore, the equation of the circle is $(x+2)^2+(y-1)^2=13$ .

8 0

3 years ago

What does it mean if y is inversely proportional to x squared

Andrews [41]

Answer:

the answer of this question is

x is equal to the y to the power ➖ 1

5 0

3 years ago

Read 2 more answers

Manuel earns $7.25 per hour helping his neighbor. Last month he earned $348. Choose the correct equation and solution which dete

zysi [14]

Answer:

Number of hours= 48 hours

Step-by-step explanation:

Giving the following information:

Hourly rate= $7.25

Total earned= $348

To calculate the number of hours worked, we need to use the following formula:

Total earned= hourly rate*number of hours

number of hours= total earned / hourly rate

number of hours= 348 / 7.25

number of hours= 48 hours

6 0

3 years ago

On Tuesday the temperature is 1 ºC. By Wednesday it has dropped to –2 ºC. The temperature drops by twice as much from Wednesday

Finger [1]

Answer: $-8^{\circ}C$

Step-by-step explanation:

Given

The temperature on Tuesday is $1^{\circ}C$

Temperature drops to $-2^{\circ}C$ on Wednesday

Net drop in temperature $1-(-2)=3^{\circ}C$

The temperature drops twice from Wednesday to Thursday

$\Delta T=2\times 3=6^{\circ}C$

Temperature on Thursday

$\Rightarrow -2-6=-8^{\circ}C$

3 0

3 years ago