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3 years ago

14

Kareem lives 4/10of a mile from the mall . write equivalent fractions that show what fraction of a mile karen lives from the mal

l

1 answer:

Slav-nsk [51]3 years ago

6 0

You just have to simplify it by two 2/5 8/20

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3x = 12 isolates the variable on one side?

lorasvet [3.4K]

First, Divide by 3 on both sides.
So 3x=12 will turn to 3x/3=12/3
Which isolates the variable x and the answer: x= 4

3 0

2 years ago

Calculate the a) future value of the annuity due, and b) total interest earned. (From Example 2)

vredina [299]

Answer:

value: $66,184.15
interest: $6,184.15

Step-by-step explanation:

The future value can be computed using the formula for an annuity due. It can also be found using any of a variety of calculators, apps, or spreadsheets.

__

<h3>formula</h3>

The formula for the value of an annuity due with payment P, interest rate r, compounded n times per year for t years is ...

FV = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)

FV = 5000(1 +0.06/4)((1 +0.06/4)^(4·3) -1)/(0.06/4) ≈ 66,184.148

FV ≈ 66,184.15

<h3>calculator</h3>

The attached calculator screenshot shows the same result. The calculator needs to have the begin/end flag set to "begin" for the annuity due calculation.

__

<h3>a) </h3>

The future value of the annuity due is $66,184.15.

<h3>b)</h3>

The total interest earned is the difference between the total of deposits and the future value:

$66,184.15 -(12)(5000) = 6,184.15

A total of $6,184.15 in interest was earned by the annuity.

3 0

2 years ago

Help Me on this!!<br><br><img src="https://tex.z-dn.net/?f=%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A

cricket20 [7]

$\qquad\qquad\huge\underline{{\sf Answer}}$

Here's the solution :

9. Statement : $\tt{VB\:\: bisects\;\; \angle EVO}$

Reason : $\tt Given$

10. Statement : $\tt \angle3 \cong \angle 4$

Reason : $\tt Definition \;\; of \;\; angle \;\; bisector$

11. Statement $\tt{VB\:\: bisects\;\; \angle EBO}$

Reason : $\tt Given$

12. Statement : $\tt \angle1 \cong \angle 2$

Reason : $\tt Definition \;\; of \;\; angle \;\; bisector$

13. Statement : $\tt \overline{BV }\cong \overline{BV}$

Reason : $\tt Common\:\: side$

14. Statement : $\tt \triangle \:BEV \cong \triangle \:BOV$

Reason : $\tt ASA \:\: postulate$

15. Statement : $\tt \angle E \cong \angle O$

Reason : $\tt Corresponding\;\;parts\:\: of\:\: Congruent \;\;Triangles$

7 0

2 years ago

What is the value of x?

andrey2020 [161]

Answer:

x = 30°.

Step-by-step explanation:

To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.

Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.

There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:

180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.

(x + 10) + (x + 10) = 80

2x + 20 = 80

2x = 60

x = 30°.

7 0

2 years ago

Read 2 more answers

Someone, please help me with this question.

Viefleur [7K]

Answer:

C. 95°

Step-by-step explanation:

Sumplementary angles sum 180°

144° + a = 180°

a = 180° - 144°

a = 36°

121° + b = 180°

b = 180° - 121°

b = 59°

The sum of internal angles of a triangle is 180°

a + b + c = 180°

36° + 59° + c° = 180°

c° = 180° - (36°+59°)

c° = 180° - 95°

c° = 85°

then:

c + n = 180°

85° + n = 180°

n = 180° - 85°

n = 95°

5 0

2 years ago