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Varvara68 [4.7K]
4 years ago
14

opened a savings account and deposited $1,000.00. The account earns 9% interest, compounded continuously. If he wants to use the

money to buy a new bicycle in 1 year, how much will he be able to spend on the bike? Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years. Round your answer to the nearest cent.
Mathematics
1 answer:
MrRa [10]4 years ago
8 0

Answer: $1094.17

Step-by-step explanation:

Amount = Pe^rt

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Find the distance between the points (5,-6), (-3,12)
grigory [225]

Answer:

\displaystyle d = 2\sqrt{97}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (5, -6)

Point (-3, 12)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance<em> d</em>

  1. Substitute in points [Distance Formula]:                                                       \displaystyle d = \sqrt{(-3-5)^2+(12+6)^2}
  2. [√Radical] (Parenthesis) Subtract/Add:                                                         \displaystyle d = \sqrt{(-8)^2+(18)^2}
  3. [√Radical] Evaluate Exponents:                                                                    \displaystyle d = \sqrt{64+324}
  4. [√Radical] Add:                                                                                               \displaystyle d = \sqrt{388}
  5. [√Radical] Simplify:                                                                                     \displaystyle d = 2\sqrt{97}
8 0
3 years ago
What is one tenth of 1.850?
DiKsa [7]

Answer:

0.185

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
PLS HELP DUE TODAY
Gekata [30.6K]

Here we go !!

Since it's a regular pentagon, all it's sides are equal so let's solve for x

\hookrightarrow \: 3(x - 1)  = 5x - 6

\hookrightarrow \: 3x - 3 = 5x - 6

\hookrightarrow \:  3x - 5x =  - 6 + 3

\hookrightarrow \:  - 2x =  - 3

\hookrightarrow \: x =  \dfrac{ - 3}{ - 2}

\boxed{\boxed{x =  \dfrac{3}{2} }}

now let's find the measure of each side, i.e

\hookrightarrow \: 5x - 6

\hookrightarrow \: (5 \times  \dfrac{3}{2})  - 6

\hookrightarrow \:  \dfrac{15}{2}   - 6

\hookrightarrow \: 7.5 - 6

\mathrm{\hookrightarrow \: 1.5 \: units}

perimeter = 5 × side length ( for a regular pentagon )

\hookrightarrow \: 1.5 \times 5

\boxed{ \boxed{ \:  \:  \:  \:  \:  \:  \:  \: 7.5 \:  \:  units \:  \:  \:  \:  \:    \:  \:  }}

6 0
3 years ago
Which of the followint iw a linear equation
SpyIntel [72]

Answer:

11.C

12.B

Step by step explanation:

4 0
4 years ago
PLZ HURRY IT'S URGENT!!!!!!!!
olga2289 [7]

Let's solve your equation step-by-step.

6+2s−8s=18

Step 1: Simplify both sides of the equation.

6+2s−8s=18

6+2s+−8s=18

(2s+−8s)+(6)=18(Combine Like Terms)

−6s+6=18

−6s+6=18

Step 2: Subtract 6 from both sides.

−6s+6−6=18−6

−6s=12

Step 3: Divide both sides by -6.

−6s/−6

=12/−6

s=−2

Answer:

s=−2

3 0
4 years ago
Read 2 more answers
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