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Yuliya22 [10]
3 years ago
11

The amount of money in an account with continuously compounded interest is given by the formula A = Pert, where P is the princip

al, r is the annual interest rate, and t is the time in years. Calculate to the nearest tenth of a year how long it takes for an amount of money to double if interest is compounded continuously at 5.2%.
Mathematics
1 answer:
Mama L [17]3 years ago
5 0
Hi there

The formula in this situation is
2=e^0.052t
Solve for t
T=(log(2)÷log(e))÷0.052
T=13.3 years round 13 years

Hope it helps
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Write an expression in simplest form for the perimeter of each figure
Juli2301 [7.4K]
QUESTION 12

The given figure has five unequal sides.

The perimeter is the distance around the figure.

So we add all the lengths of the sides of the rectangle to get,

Perimeter = 5x + 4x + 2.8y + 2x + 2.2y

We regroup the like terms to obtain,

Perimeter = 5x + 4x +2x + 2.8y + 2.2y

This will simplify to give us,

Perimeter = 11x + 5.0y

Perimeter = 11x + 5y

QUESTION 13

The given figure has two pairs of sides that are equal in length and three unequal sides.

The perimeter can be found by adding all the lengths of the sides of the of the figure.

This will give us

Perimeter = 6b + 5a + 3b + 4 + 3a + 2b + 5a

We regroup like terms to obtain,

Perimeter = 6b + 2b+ + 3b + 5a + 5a +3a + 4 +

This finally simplifies to ,

.
Perimeter = 11b + 13a + 4 +

QUESTION 14

This plane figure has four sides that are equal to 4j and two sides that are equal to 2h.

We add all the lengths of the sides of the plane figure to get,

Perimeter =4j + 4j+ 4j+ 4j + 2h + 2h

This will simplify to give us,

Perimeter =16j + 4h
6 0
2 years ago
The sum of 3 consecutive even integers is 18<br>​
larisa [96]

Answer:

4,6,8

Step-by-step explanation:

Let x = 1st even integer

x+2 =2nd even integer

x+4 =3nd even integer

x+ x+2 + x+4 = 18

Combine like terms

3x+6 = 18

Subtract 6 from each side

3x+6-6=18-6

3x= 12

Divide by 3

3x/3 =12/3

x = 4

x+2 = 6

x+4 = 8

5 0
2 years ago
"three times a number is greater than or equal to 12 and less than 21"
Diano4ka-milaya [45]

Answer:

The required inequality is: 12 ≤ 3x < 21

Step-by-step explanation:

We are given: three times a number is greater than or equal to 12 and less than 21

We need to answer following questions:

1) The inequality translated in numerical form

Let number = x

12 ≤ 3x < 21

2) Your work solving the inequality

We need to find value of x. Divide the inequality by x

4 ≤ x < 7

3) The solution graphed on a number line

It is shown in figure attached.

4) The solution in set notation

The set notation is: Considering x belongs to natural numbers N

{∀ x|x∈N, 4 ≤ x < 7}

5) The solution in interval notation

The interval notation is: [4,7)

because we have 4 less than equal to x and x is less than 7

8 0
2 years ago
(-30(-7))-(210(-3))=
Vlad [161]

Answer:

840

Step-by-step explanation:

(−30)(−7) − (210)(−3)

=210 − (210)(−3)

=210 − (−630)

=840

Hope this helps!

brainliest?

:)

3 0
2 years ago
Read 2 more answers
Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one a
mrs_skeptik [129]
<span>Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other. If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem. For the same reason, if m∠B < m∠C, then AC < AB. This is a contradiction to what is given. Therefore, it can be concluded that 


Answer: Angle (B) is Congruent to Angle (C)

Hope it helps
</span>
6 0
3 years ago
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