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3 years ago

You deposit $3000 in an account earning 4% interest compounded continuously. How much will you have in

Mathematics

1 answer:

V125BC [204]3 years ago

7 0

Answer: $3,664.21

Formula: $A=Pe^{rt}$

P = principle/original amount = $3000
r = rate of interest = 4% = 0.04
t = time period (in years) = 5
A = the new amount
e = Euler's number ≈ 2.718...

Substitute in the values:

$A=(3000)e^{(0.04)(5)} =(3000)e^{0.2} =(3000)(1.2214)=3664.208$

Approximately $3,664.21

I think this is how you solve it o_O

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A ship is anchored off a long straight shoreline that runs north and south. From two observation points 16 miles apart on shore,

ELEN [110]

D - the shortest distance from the ship to the shore.
d / ( 17 - x ) = tan 32° = 0.62487
d / x = tan 53° = 1.32704
d = 0.62487 ( 17 - x )
d = 1.32704 x
0.62487 ( 17 - x ) = 1.32704 x
10.62279 - 0.62487 x = 1.32704 x
x = 10.62279 : 1.95191
x = 5.44226 miles
d = 5.44226 · 1.32704
Answer:
d = 7.222 miles

6 0

3 years ago

At the mall Julie finds a sale at her favorite store. Two pair of pants will cost $42. If she wants to buy 5 pair, how much will

katovenus [111]

Divide 42 by two and then multiply by 5

5 0

3 years ago

Read 2 more answers

Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find

densk [106]

Answer:

x=4

Step-by-step explanation:

Step 1:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

$AC^2 = AB^2 + BC^2$

step 2:-

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

$(a + b)^2 = a^2 +2ab+b^2$

289 = 4x^2 +9(x^2+2x+1)

$13x^2 +18x-280 = 0$

finding factors 70 X 52 = 3640

$13x^2 +70x-52x-280 = 0$

$13x^2 -52x+ 70x-280 = 0$

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and $13x =-70$

x=4 and $x=\frac{-70}{13}$

we can not choose negative value so x value is 4

Final answer:- x = 4

verification:-

$AC^2 = AB^2 + BC^2$

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

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4 years ago

Read 2 more answers

Vong grilled 21 burgers. He grilled the same number of pounds of turkey burgers as burgers. Turkey burger weighed 1/4 pound and

d1i1m1o1n [39]

Answer:

12 turkey burgers 9 hamburgers

Step-by-step explanation:

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3 years ago

If you place a 89-foot ladder against the top of a 80-foot building, how many feet will

Nuetrik [128]

Answer:

$\large \boxed{\text{39 ft}}$

Step-by-step explanation:

Let x be the distance from the foot of the ladder to the base of the building.

We have a right triangle, so we can use Pythagoras' Theorem.

$\begin{array}{rcl}80^{2} + x^{2}& = & 89^{2} \\6400+ x^{2} & = & 7921\\x^{2} & = & 1521\\x & = & \sqrt{1521}\\& = &\mathbf{39}\\\end{array}\\\text{The foot of the ladder will be $\large \boxed{\textbf{39 ft}}$ from the base of the building,}$

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3 years ago