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il63 [147K]
3 years ago
6

Solve the formula for v1

Mathematics
1 answer:
Oksanka [162]3 years ago
6 0

So firstly, multiply both sides by t: ta=v_1-v_0

Next, add both sides by v0, and your answer will be: ta+v_0=v_1

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Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i
podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then


17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},

3=(1.0054)^{12t},

12t=\log_{1.0054}3,

t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.

The best will be 2nd option, because $8032.58>$7936.39

5 0
3 years ago
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Priscilla currently reads 10 pages in her book each right. She wants to
Readme [11.4K]

Answer:

13

Step-by-step explanation:

8 0
3 years ago
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Whoevr answers this question correctly gets brainly<br><br>and show your work please
blsea [12.9K]

Answer:

1/4

Step-by-step explanation:

The chance of it landing heads up once would be 1/2

The chance of it landing heads up twice would be 1/4

The chance of it landing heads up three times would be 1/8

The chance of it landing heads up four times would be 1/16

See the pattern?

Pattern:  <em><u>Divide the denominator by 2.</u></em>

<h2><em>Please give brainliest!!! :) </em></h2>

3 0
3 years ago
Convert:<br> 38 inches = feet and inches all together
kirza4 [7]

Answer: 3 ft. and 2 inches

38÷12=3.2

12×3=36

38-36

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3 years ago
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The Sum of twice a number and 5 is at most 15. What are the possible values for the number?
NISA [10]
Let's call that number x, twice the number will be 2x, sum of it and 5 is, 2x+5. So if this expression is at most 15, it means, it can be only less than 15 and equal to 15. Let's show this as an inequality.

2x+5\le 15

Let's solve.

2x+5\le 15\\ \\ 2x\le 15-5\\ \\ 2x\le 10\\ \\ x\le \frac { 10 }{ 2 } \\ \\ x\le 5

x\quad \in \quad \left[ -\infty ,5 \right]

If the number is a natural number. The values it can take is, x\quad \in \quad \left[ 0,1,2,3,4,5 \right]


6 0
3 years ago
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