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3 years ago

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Madison received a share of $4230 for a fishing competition. She deposited it in the bank and left it for 3 years accumulating s

imple interest at 4.2%. Find her new balance in the bank after 3 years.

2 answers:

Elis [28]3 years ago

6 0

Answer:

$4785.68

Step-by-step explanation:

Original amount: <u>$</u><u>4</u><u>2</u><u>3</u><u>0</u>

Interest for 1 year: <u>4</u><u>.</u><u>2</u><u>%</u>

<em>First year;</em>

$4230 + (4230 \times \frac{4.2}{100}) \\ = 4230 + 177.66 \\ = 4407.66$

<em>S</em><em>e</em><em>c</em><em>o</em><em>n</em><em>d</em><em> </em><em>y</em><em>e</em><em>a</em><em>r</em><em>;</em>

$4407.66 + (4407.66 \times \frac{4.2}{100} ) \\ = 4407.66 + 185.12172 \\ = 4592.78172$

<em>T</em><em>h</em><em>i</em><em>r</em><em>d</em><em> </em><em>y</em><em>e</em><em>a</em><em>r</em><em> </em><em>(</em><em>t</em><em>o</em><em>t</em><em>a</em><em>l</em><em> </em><em>b</em><em>a</em><em>l</em><em>a</em><em>n</em><em>c</em><em>e</em><em> </em><em>a</em><em>f</em><em>t</em><em>e</em><em>r</em><em> </em><em>3</em><em> </em><em>y</em><em>e</em><em>a</em><em>r</em><em>s</em><em>)</em><em>;</em>

$4592.78172 + (4592.78172 \times \frac{4.2}{100} ) \\ = 4592.78172 + 192.89683224 \\ =4785.67855224$

Round the number;

<em><u>$4785.68</u></em>

YOUR ANSWER hope this helps :))

Ket [755]3 years ago

3 0

Answer: 4785.68

Step-by-step explanation: simpler way

B = P x (1 + R)^t

P = Staring Amount

R = Interest Rate

T = Time

B = Balance

B = $4230 x (1 + 0.042)^T

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Twenty percent of drivers driving between 10 pm and 3 am are drunken drivers. In a random sample of 12 drivers driving between 1

Lesechka [4]

Answer:

(a) 0.28347

(b) 0.36909

(c) 0.0039

(d) 0.9806

Step-by-step explanation:

Given information:

n=12

p = 20% = 0.2

q = 1-p = 1-0.2 = 0.8

Binomial formula:

$P(x=r)=^nC_rp^rq^{n-r}$

(a) Exactly two will be drunken drivers.

$P(x=2)=^{12}C_{2}(0.2)^{2}(0.8)^{12-2}$

$P(x=2)=66(0.2)^{2}(0.8)^{10}$

$P(x=2)=\approx 0.28347$

Therefore, the probability that exactly two will be drunken drivers is 0.28347.

(b)Three or four will be drunken drivers.

$P(x=3\text{ or }x=4)=P(x=3)\cup P(x=4)$

$P(x=3\text{ or }x=4)=P(x=3)+P(x=4)$

Using binomial we get

$P(x=3\text{ or }x=4)=^{12}C_{3}(0.2)^{3}(0.8)^{12-3}+^{12}C_{4}(0.2)^{4}(0.8)^{12-4}$

$P(x=3\text{ or }x=4)=0.236223+0.132876$

$P(x=3\text{ or }x=4)\approx 0.369099$

Therefore, the probability that three or four will be drunken drivers is 0.3691.

(c)

At least 7 will be drunken drivers.

$P(x\geq 7)=1-P(x$

$P(x\leq 7)=1-[P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)+P(x=6)]$

$P(x\leq 7)=1-[0.06872+0.20616+0.28347+0.23622+0.13288+0.05315+0.0155]$

$P(x\leq 7)=1-[0.9961]$

$P(x\leq 7)=0.0039$

Therefore, the probability of at least 7 will be drunken drivers is 0.0039.

(d) At most 5 will be drunken drivers.

$P(x\leq 5)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)$

$P(x\leq 5)=0.06872+0.20616+0.28347+0.23622+0.13288+0.05315$

$P(x\leq 5)=0.9806$

Therefore, the probability of at most 5 will be drunken drivers is 0.9806.

5 0

3 years ago

20 points: <br> happy valentines

jeka57 [31]

Answer:

A. 4(x + 8) = 56

Step-by-step explanation:

the correct equation would be 4(x + 8) = 56

because we need to find the number of hours on Saturday, since there Sheldon gets paid $4 per hour, we must subtract the amount Sheldon made on Sunday by the total he made and then divide that by 4 to get the number of hours on Saturday

$4 = number of dollars per hour

$56 = total on Saturday and Sunday

8 hours = Number of hours babysat on Sunday

x = hours spent on Saturday

4(x + 8) = 56

Step 1: Simplify both sides of the equation.

4(x + 8) = 56

(4)(x) + (4)(8) = 56(Distribute)

4x + 32 = 56

Step 2: Subtract 32 from both sides.

4x + 32 − 32 = 56 − 32

4x = 24

Step 3: Divide both sides by 4.

4x/4 = 24/4

x = 6

To check if this is correct, we add the amount Sheldon earned on Saturday to the amount he earned on Sunday, which is

6(4) + 8(4) = 56

24 + 32 = 56

56 = 56

or you could substitute the answer in the problem

4(6 + 8) = 56

Distribute

24 + 32 = 56

Simplify

56 = 56

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