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AlexFokin [52]
2 years ago
6

Kremena's bank account earns 4.5% simple interest per year. How much must she deposit in the account today if she wants it to be

worth $1,250 in 3 years? Round your answer to the nearest dollar.
Mathematics
2 answers:
Sever21 [200]2 years ago
7 0

Answer: $1101 must be deposited into the account.

Step-by-step explanation:

Let x represent the amount that must be deposited.

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents the interest after T years.

P represents the principal or initial amount deposited.

T represents the amount of time for which the money is left in the account in years.

R represents the interest rate.

From the information given,

P = $x

T = 3 years

R = 4.5%

I = 1250 - x

Therefore,

1250 - x = (x × 4.5 × 3)/100

1250 - x = 0.135x

x + 0.135x = 1250

1.135x = 1250

x = 1250/1.135

x = 1101 to the nearest dollar

oksian1 [2.3K]2 years ago
6 0

Answer:

1095$ should be invested today .

Step-by-step explanation:

The formula of present value will be applied here :

Present Value= Future Value/(1+ interest rate)^Years

Present Value = 1250/(1.045)^3

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Step-by-step explanation:

Distance covered in 4 hours = 150 miles

Distance covered in 1 hour = 150/4 = 37.5 miles

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2 years ago
Help me with 16,17,18,and 19 please simpl
mixas84 [53]

Answer:

Ques 16)

We have to simplify the expression:

\dfrac{t^2}{t^2+3t-18}-(\dfrac{5t}{t^2+3t-18}-\dfrac{t-3}{t^2+3t-18})\\   \\=\dfrac{t^2}{t^2+3t-18}-(\dfrac{4t+3}{t^2+3t-18})\\  \\=\dfrac{t^2-4t-3}{t^2+3t+18}

Ques 17)

\dfrac{3w^2+7w-7}{w^2+8w+15}+\dfrac{2w^2-9w+4}{(2w^2+9w-5)(w^2-w-12)}\\  \\=\dfrac{3w^2+7w-7}{w^2+8w+15}+\dfrac{(2w-1)(w-4)}{(2w-1)(w+5)(w+3)(w-4)}\\\\=\dfrac{3w^2+7w-7}{(w+3)(w+5)}+\dfrac{1}{(w+3)(w+5)}\\\\=\dfrac{3w^2+7w-7+1}{(w+3)(w+5)}\\\\=\dfrac{(3w-2)(w+3)}{(w+5)(w+3)}\\\\=\dfrac{3w-2}{w+5}

Ques 18)

Let the blank space be denoted by the quantity 'x'.

\dfrac{x}{12a^2+8a}+\dfrac{15a^2}{12a^2+8a}=\dfrac{7a}{3a+2}\\ \\\dfrac{x+15a^2}{12a^2+8a}=\dfrac{7a}{3a+2}\\\\=\dfrac{x+15a^2}{4a(3a+2)}=\dfrac{7a}{3a+2}\\\\=\dfrac{x+15a^2}{4a}=7a\\\\x+15a^2=28a^2\\\\x=28a^2-15a^2\\\\x=13a^2

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Let the missing quantity be denoted by 'x'.

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2 years ago
Mr Thompson please help with my new HW
sesenic [268]

Answers:

  1. C) x = plus/minus 11
  2. B) No real solutions
  3. C) Two solutions
  4. A) One solution
  5. The value <u>  18  </u> goes in the first blank. The value <u>  17  </u> goes in the second blank.

========================================================

Explanations:

  1. Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
  2. There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
  3. The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
  4. We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
  5. Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
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slavikrds [6]

Answer:

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Step-by-step explanation:

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Answer:

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probabilities are 4/11

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