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8090 [49]
2 years ago
10

Suppose you invest $1600 at an annual interest rate of 4.6% compounded continuously. Using the formula A(t) =P*e^rt , how much w

ill you have in the account after 4 years
Mathematics
1 answer:
artcher [175]2 years ago
8 0
Just fill in the given data and evaluate the expression:

A = $1600*e^(0.046*4) = $1923.23 (rounded up to the nearest cent)
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In triangle $DEF,$ $\angle D = 30^\circ,$ $\angle F = 60^\circ,$ and $EF = 6.$ Find $DE + DF.$ [asy] unitsize(2 cm); pair D, E,
sergey [27]

Answer:

Step-by-step explanation:

The answer to this question is 12+6sqrt3.

This is because of the 30, 60, and 90 degree rule. The rule states that the hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle.

Using the rule you now know that DF is 12. Then use the Pythagorean Theorem to find the length of DE. 12^2=144, and 6^2=36. 144-36=108.

The square root of 108 simplified=6sqrt3.

Then you add them together and get 12+6sqrt3.

5 0
2 years ago
Glenna wants to rent a car for a trip to key west for one weekshe calls two car rental companies to get prices. mr kotters renta
Korvikt [17]

Answer: Barbarino's rentals has a better deal.

She has to drive 887.5 miles to spend the same amount at either company.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

<em>Mr.kotters rentals (A) </em>

  • <em>$99 PER WEEK </em>
  • <em>$0.11per mile over 100 miles </em>

<em>Barbarino's rentals (B) </em>

  • <em>$75 per week </em>
  • <em>$0.15 per mile over 150 miles </em>

For "A"

Cost = 0.11 (432-100) + 99 = $135.52

For "B"

Cost= 0.15 (432-150) +75 = $117.3

Barbarino's rentals has a better deal, since $117.3(B) < $135.52 (A)

To find how many miles would Glenna drive before she would be spending the same amount at either company:

A =B

0.11 (M-100) + 99 =0.15 (M-150) +75 = $117.3

Solving for M (miles)

0.11 M -11+99 = 0.15 M -22.5+75

-11 +99 +22.5 -75 =0.15M -0.11 M

35.5 = 0.04M

35.5/0.04 = M

887.5 =M

She has to drive 887.5 miles to spend the same amount at either company.

4 0
2 years ago
Simplify 100y^3/98xy pls answer soon hegarty maths lazy
OleMash [197]

Answer:

50y^4x/49

Step-by-step explanation:

y^3/98

((100* y^3/98 * x) * y

2.1 y^3 * y^1=y^(3+1)=y^4

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An appliance manufacturer recommends keeping the freezer set at -18 degrees C. Explain what the absolute value tells us about -1
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