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Rzqust [24]
3 years ago
7

A person places $290 in an investment account earning an annual rate of 2.2%, compounded continuously. Using the formula V = Pe^

{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 18 years.
Mathematics
1 answer:
Tomtit [17]3 years ago
8 0

Answer:

<h2> $430.90</h2>

Step-by-step explanation:

Given that the principal p= $290

rate r= 2.2%  2.2/100 =0.022  

time t= 18years

by applying the expression

V = Pe^{rt}

We have

V = 290e^{0.022*18}\\\\V=290e^{0.396}\\\\V=290*1.48586931755\\\\V=$430.90

Hence after 18years the money in the account will be $430.90

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Luis wants to buy a skateboard that usually sells for $79.97. All merchandise is discounted by 12%. What is the total cost of th
Tju [1.3M]

Answer:

$74.8

Step-by-step explanation:

step 1: apply the discount to the price

12% = .12

$79.97 X .12 = $9.5964

$79.97 - $9.5964 = $70.3736

step 2: apply tax

$70.3736 X .0625 = $4.39835

$70.3736 + $4.39835 = $74.77195

step3: round

$74.8

5 0
3 years ago
A family has 4 children: Ariel, Bob, Chris, and Diana. Assuming that all birth orders are equally likely.
sattari [20]

Answer:

A) 0.5

B) 0.375

C) 0.375

D) 0.167

Step-by-step explanation:

Let's call

a: Ariel

b: Bob

c: Chris

d: Diana

There are 4*3*2*1 = 24 total combinations to order the 4 children

A) Ariel is older than Diana in the following 12 cases:

a b c d

a b d c

a c b d

a c d b

a d b c

a d c b

b a c d

b a d c

b c a d

c a b d

c a d b

c b a d

Then, the probability is 12/24 = 0.5

B) The condition "Ariel is older than Diana, if it is given that Ariel is older than Bob" is satisfied in the six first cases and last three cases of before.

Then, the probability is 9/24 = 0.375

C) Ariel is older than Diana, if it is given that Chris is older than Diana, in the following cases:

a b c d

a c b d

a c d b

a d c b

b a c d

b c a d

c a b d

c a d b

c b a d

Then, the probability is 9/24 = 0.375

D) Ariel is older than Diana, if it is given that Diana is older than Bob, in the following cases:

a c d b

a d b c

a d c b

c a d b

Then, the probability is 4/24 = 0.167

7 0
3 years ago
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n200080 [17]

Answer:

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Step-by-step explanation:

<u>As per similarity, the ratios of corresponding sides are same:</u>

  • x/120 = 65/50
  • x = 120*65/50
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8 0
3 years ago
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PtichkaEL [24]

Answer:

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WHATS THE correct ANSWER MARKING BRAINLIEST
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Step-by-step explanation:

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