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nlexa [21]
4 years ago
12

You decide to put $175 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate

of 3% per year and is compounded monthly, how long does it take you to earn $3,000 without depositing any additional funds?
Mathematics
1 answer:
myrzilka [38]4 years ago
7 0
The future value (A) of a principal amount P compounded 12 times per year at rate r for t years is given by
  A = P·(1 + r/12)^(12t)

Substitute the given values and solve for t.
  3000 = 175·(1 + .03/12)^(12t)
Taking logarithms, this becomes
  log(3000) = log(175) + 12t·log(1.0025)
  (log(3000) -log(175))/(12·log(1.0025)) = t
  t ≈ 94.84

It will take 95 years for the balance to grow by a factor of 17 to $3000.
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Total volume of tree?
Salsk061 [2.6K]

Answer:

9,000 cubic feet (250 m3) of wood in the branches.

Step-by-step explanation:

6 0
3 years ago
100 points nani?!?!
Gwar [14]

(2^8 · 3^-5 ·6^0)^-2 · (3^-2/2^3)^4 · 2^28

First set of parenthesis:

2^8 = 256, 3^-5 = 0.00411522, 6^0 = 1

(256 * 0.00411522 * 1) = 1.05349794

1.05349794^-2 = 0.90101623


Second set of parenthesis:

3^-2 = 0.1111, 2^3 = 8

(0.111 / 8) = 0.0138

0.0138^4 =  0.00000003721088

Third set: 2^28 = 268435456


Final: 0.90101623 * 0.00000003721088 * 268435456 =  9


(2^8 · 3^-5 ·6^0)^-2 · (3^-2/2^3)^4 · 2^28 = 9

4 0
4 years ago
∠A and \angle B∠B are supplementary angles. If m\angle A=(7x+24)^{\circ}∠A=(7x+24) ∘ and m\angle B=(7x-26)^{\circ}∠B=(7x−26) ∘ ,
Arturiano [62]

Answer:

115degrees

Step-by-step explanation:

Given the following angles

m<A=(7x+24)°

m<B=(7x-26)°

Since both angles are supplementary, their sum will be 180 degrees

Taking the sum of the angles

m<A + m<B = 180

7x+24 + 7x - 26 = 180

14x - 2 = 180

14x = 180+2

14x = 182

x = 182/14

x = 13

get m<A

m<A = 7x+24

m<A = 7(13) + 24

m<A = 91 + 24

m<A  = 115

Hence the measure of angle m<A is 115degrees

4 0
3 years ago
Homer wants to identify the center and radius of the circle defined by the equation x2 + y2 - 14x +
Klio2033 [76]

Homer has made mistake in step 2

When you complete the square, you need to add the values to both sides of equation

<em><u>Solution:</u></em>

<em><u>Given equation of circle:</u></em>

x^2 + y^2 -14x + 2y -25 = 0

Let us first calculate center and radius and find out where he did the mistake

<em><u>Step 1:</u></em>

Group the terms

x^2 -14x + y^2 + 2y = 25\\\\(x^2 -14x) + (y^2 + 2y) = 25

<em><u>Step 2:</u></em>

(x^2 -14x + 49) + (y^2 + 2y + 1) = 25 + 49 + 1

But homers step 2 is:

(x^2 -14x + 49) + (y^2 + 2y + 1) = 25

So homer has made mistake in this step

When you complete the square, you need to add the values to both sides of equation

But homer did not add 49 and 1 to right side of equation

Correct steps are:

(x^2 -14x + 49) + (y^2 + 2y + 1) = 75\\\\(x-7)^2 + (y+1)^2 = 75

Comparing general equation of circle,

(x-h)^2 + (y-k)^2 = r^2

Therefore, center is ( 7, -1) and radius is 8.66

8 0
3 years ago
Can the legs ever be longer than the hypotenuse
Nata [24]

Answer:

no then its not a right triangle

Step-by-step explanation:

7 0
3 years ago
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