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BabaBlast [244]

3 years ago

12

Maya invested $5,000 in an account paying an interest rate of 3.9% compounded continuously. Assuming no deposits or withdrawals

are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $6,880?

1 answer:

ElenaW [278]3 years ago

5 0

Answer: 8.2

Step-by-step explanation:

Delta Math Solution

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Hi, could someone please help me with this Math problem, Thank you.

Naddik [55]

<h3>Explanation:</h3>

18. The 5 only needs to be "distributed" to terms that are inside the parentheses where 5 is on the outside. Here, the only term in the parentheses is 2x. Anne apparently also multiplied -3 by 5, erroneously. The -3 term is not inside the parentheses, so should be left alone when "distributing" the 5.

The left side of the equation simplifies to 10x -3, so Anne should have had ...

10x -3 = 20x +15

-18 = 10x . . . . . . . . . add -15-10x

-1.8 = x . . . . . . . . . . divide by 10.

The solution is x = -1.8.

___

19. Procedure: Subtract the right side of the equation from both sides. Use the distributive property as many times as necessary to eliminate parentheses. Collect terms. Divide by the coefficient of x. Subtract the constant.

5[3(x+4) -2(1 -x)] -x -15 = 14x +45 . . . . . . . original equation

5[3(x+4) -2(1 -x)] -x -15 -14x -45 = 0 . . . . . right side subtracted

5[3x+12 -2 +2x] -x -15 -14x -45 = 0 . . . . . . inner parentheses eliminated

15x +60 -10 +10x -x -15 -14x -45 = 0 . . . . . outer parentheses eliminated

(15 +10 -1 -14)x +(60 -10 -15 -45) = 0 . . . . . like terms associated

10x -10 = 0 . . . . . . . . . . . . . . . . . . . . . . . . . . simplified

x - 1 = 0 . . . . . . . . . divide by the coefficient of x

x = 1 . . . . . . . . . . . . subtract -1 (same as add 1)

The solution is x = 1.

5 0

3 years ago

The sum of four numbers is 1,320. The sum of three of the numbers is 40% more than the other number, x. What is the value of x ?

ziro4ka [17]

Answer:

550

Step-by-step explanation:

We aren't given that they are consecutive so lets just pretend the numbers are x, y, z , and r.

We are given x+y+z+r=1320

We are also given that y+z+r=.4x+x

Simplifying my second equation gives us y+z+r=1.4x. I'm going to plug this into first equation giving me

x+1.4x=1320

2.4x=1320

So x=1320/2.4=550

6 0

3 years ago

Read 2 more answers

5 1/2 of what number is 55?

goldfiish [28.3K]

I hope this helps you

8 0

3 years ago

Read 2 more answers

GIVING OUT 50 POINTS

Anika [276]

<u>Answer</u>:

The area of the parallelogram below is <u>48 </u>square meters.

<u>Explanation</u>:

$\sf area \ of \ parallelogram = base * height$

<u>Given</u>:

base: 6 m

height: 8 m

<u>using the formula:</u>

→ base * height

→ 6 * 8

→ 48 m²

4 0

2 years ago

Lucas wants to use the box with the greatest volume.<br> Which shipping box should he use?<br> Box_

serious [3.7K]

Answer:

He will use the D box because it has a volume of

$27 {ft}^{3}$

Step-by-step explanation:

$a)v = whl \\ = 1 \times 5 \times 3 \\ = 15 {ft}^{3}$

$b) \: v = whl \\ = 3 \times 4 \times 2 \\ = 24 {ft}^{3}$

$c) \: v = \: whl\\ = 2 \times 7 \times 1 \\ = 14 {ft}^{3}$

$d) \: v = whl \\ = 3 \times 3 \times 3 \\ = 27 {ft}^{3}$

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em>

<em>brainliest</em><em> </em><em>appreciated</em>

<em>good</em><em> </em><em>luck</em><em>!</em><em> </em><em>have</em><em> </em><em>a</em><em> </em><em>nice</em><em> </em><em>day</em><em>!</em><em>!</em>

8 0

3 years ago

Read 2 more answers