How much interest must you deposit in an account to earn $400 per year at 2% simple interest?

Assume that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles

OverLord2011 [107]

Answer:

Final answer is approx 6.644 years.

Step-by-step explanation:

Given that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles is 16% every year and that of cars is 25% every year.

So we can use growth formula:

$A=P\left(1+r\right)^t$

Then we get equation for motorcycles and cars as:

$A=5.75\left(1+0.16\right)^t$

$A=3.5\left(1+0.25\right)^t$

Now we need to find about when the sale of cars will be more than the sale of motorcycles. So we get:

$3.5\left(1+0.25\right)^t>5.75\left(1+0.16\right)^t$

$3.5\left(1.25\right)^t>5.75\left(1.16\right)^t$

$\frac{\left(1.25\right)^t}{\left(1.16\right)^t}>\frac{5.75}{3.5}$

$\left(\frac{1.25}{1.16}\right)^t>1.64285714286$

$t\cdot\ln\left(\frac{1.25}{1.16}\right)>\ln\left(1.64285714286\right)$

$t>\frac{\ln\left(1.64285714286\right)}{\ln\left(\frac{1.25}{1.16}\right)}$

$t>6.6436473051$

Hence final answer is approx 6.644 years.

7 0

3 years ago

Find the value of n such that x^2-19x n is a perfect square trinomial.

Marianna [84]

B. 361/4
you get: x^2-19x+361/4=(x-19/2)^2

6 0

4 years ago

Read 2 more answers

(15 − 3) ÷ (2 + 1) × (8 − 6)

Law Incorporation [45]

Step-by-step explanation:

= (15 − 3) ÷ (2 + 1) × (8 − 6)

BODMAS rule

= (12) ÷ (3) × (2)

= (12/3) × (2)

= 4 × 2

= 8

Hope this helps you. Do mark me as brainliest.

6 0

3 years ago

Using a white-board with graph paper or graphing technology such as Geogebra be able to perform a reflection for a pre-image ove

Marta_Voda [28]

Explanation:

The line of reflection is the perpendicular bisector of the segment joining a point with its reflected image.

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The segment joining a point with its reflection is as short as possible consistent with the requirement that the reflected point be the same distance from the line that the original is. That means it is perpendicular to the line of reflection. Since the distance from that line is the same on either side, the line of reflection bisects the joining segment.

7 0

3 years ago

The value of a dirt bike decreases by 15% each year. If you purchased this dirt bike today for $500, to the nearest dollar how m

guapka [62]

$500 x 0.85 = 425
$425 x 0.85 = 361.25
$361.25 x 0.85 = 307.10
$307.1 x 0.85 = 261
$261 x 0.85 = 221.85

5 0

4 years ago