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Over [174]
3 years ago
11

You expect to have the given amount in an account with the given terms. Find how much you can withdraw periodically in order to

make the account last the specified amount of time. Round your answer to the nearest cent.
Account balance: $200,000
Interest rate: 3.15%
Frequency monthly
Time: 25 years
Mathematics
1 answer:
bulgar [2K]3 years ago
5 0
I’m just typing so I get points
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Solve each inequality, and then drag the correct solution graph to the inequality.
Nesterboy [21]

The correct solution graph to the inequalities are

4(9x-18)>3(8x+12)  →  C

-\frac{1}{3}(12x+6) \geq -2x +14  → A

1.6(x+8)\geq 38.4  →  B

(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

4(9x-18)>3(8x+12)

First, clear the brackets,

36x-72>24x+36

Then, collect like terms

36x-24x>36+72\\12x >108

Now divide both sides by 12

\frac{12x}{12} > \frac{108}{12}

∴ x > 9

For the second inequality

-\frac{1}{3}(12x+6) \geq -2x +14

First, clear the fraction by multiplying both sides by 3

3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)

-1(12x+6) \geq -6x +42

Now, open the bracket

-12x-6 \geq -6x +42

Collect like terms

-6 -42\geq -6x +12x

-48\geq 6x

Divide both sides by 6

\frac{-48}{6} \geq \frac{6x}{6}

-8\geq x

∴ x\leq  -8

For the third inequality,

1.6(x+8)\geq 38.4

First, clear the brackets

1.6x + 12.8\geq 38.4

Collect likes terms

1.6x \geq 38.4-12.8

1.6x \geq 25.6

Divide both sides by 1.6

\frac{1.6x}{1.6}\geq  \frac{25.6}{1.6}

∴ x \geq  16

Let the graphs be A, B and C from left to right

The first graph (A) shows x\leq  -8 and this matches the 2nd inequality

The second graph (B) shows x \geq  16 and this matches the 3rd inequality

The third graph (C) shows x > 9 and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

4(9x-18)>3(8x+12)  →  C

-\frac{1}{3}(12x+6) \geq -2x +14  → A

1.6(x+8)\geq 38.4  →  B

Learn more here: brainly.com/question/17448505

8 0
2 years ago
The odds that a book will be favourable reviewed by three independent critic. a b and c are 5 to 2, 4 to 3 and 3 to 4 respective
Lelu [443]

Answer:

1/4

Step-by-step explanation:

i think you would add 5+4+3 and 2+3+4 and divide them so 9/12 and that makes your probability  which leaves a 3/12 chance non of them are in favour of the book

6 0
2 years ago
The length of a rectangle is 6 inches more than its width. Its area is 91 square inches. The length is .
Vika [28.1K]

Answer:

13 in

Step-by-step explanation:

let w be width then length is w + 6

the area (A) of a rectangle is calculated as

A = length × width , then

A = w(w + 6) = 91 , that is

w² + 6w = 91 ( subtract 91 from both sides )

w² + 6w - 91 = 0 ← in standard quadratic form

(w + 13)(w - 7) = 0 ← in factored form

equate each factor to zero and solve for w

w + 13 = 0 ⇒ w = - 13

w - 7 = 0 ⇒ w = 7

however, w > 0 then w = 7

and length = w + 6 = 7 + 6 = 13 in

8 0
2 years ago
Which graph shows exponential growth?
GarryVolchara [31]

Answer:

The second graph.

Step-by-step explanation:

It keeps getting steeper. This means that it is growing exponentially.

4 0
2 years ago
Read 2 more answers
$1,030 at 4% compounded<br> semiannually for 2 years
tatyana61 [14]

Answer:

A=$1, 114.91 is the answer. Hope this helps!

6 0
3 years ago
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