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AlexFokin [52]
3 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]3 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]3 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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Solve the equation x² = 1.21 *
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Answer:

x = 1.1, -1.1

Step-by-step explanation:

This is the answer because:

1) Take the root of both sides and solve.

\sqrt{1.21} = 1.1

2) x can also equal -1.1 because -1.1 times -1.1 gives us a positive 1.21 because negative x negative = positive

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3 0
3 years ago
Find m∠STU and m∠TUA
PIT_PIT [208]

Answers:

  • angle STU = 65 degrees
  • angle TUA = 123 degrees

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

Explanation:

Let's find the expression for angle TUS in terms of x

Angle TUA has the expression 11x+2. It will add to angle TUS to get 180 degrees

(angle TUS) + (angle TUA) = 180

angle TUS = 180 - (angle TUA)

angle TUS = 180 - (11x + 2)

angle TUS = 180 - 11x - 2

angle TUS = -11x + 178

Now focus on the interior angles of triangle TUS. We have these three angles

  • T = 5x+10
  • U = -11x+178
  • S = 58

For any triangle, the interior angles always add to 180, so,

T+U+S = 180

(5x+10) + (-11x+178) + (58) = 180

(5x-11x) + (10+178+58) = 180

-6x + 246 = 180

-6x = 180-246

-6x = -66

x = -66/(-6)

x = 11

Use this x value to find the angle measures we're after:

  • angle STU = 5x+10 = 5*11+10 = 55+10 = 65 degrees
  • angle TUA = 11x+2 = 11*11+2 = 121+2 = 123 degrees

--------------------------

As an alternative route, you can apply the remote interior angle theorem. This says that adding two interior angles leads to the exterior angle that isn't adjacent to either one.

In this case, we would say

(angle STU) + (angle TSU) = angle TUA

that leads to the equation

(5x+10) + (58) = 11x+2

Solving this should lead to x = 11 to generate the angles mentioned earlier.

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