All categories

3 years ago

Each day, 3,000 cars go through the

Mathematics

1 answer:

prohojiy [21]3 years ago

5 0

90,000 Cars, certain this is the answer.

You might be interested in

Darren invests $4,500 into an account that earns 5% annual interests. How much will be in the account after 10 years if the inte

Tom [10]

We have been given that Darren invests $4,500 into an account that earns 5% annual interests. We are asked to find the amount in his account after 10 years, if the interest rate is compounded annually, quarterly, monthly, or daily.

We will use compound interest formula to solve our given problem.

$A=P(1+\frac{r}{n})^{nt}$ , where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

$5\%=\frac{5}{100}=0.05$

When compounded annually, $n=1$ :

$A=4500(1+\frac{0.05}{1})^{1\cdot 10}$

$A=4500(1.05)^{10}$

$A=4500(1.6288946267774414)$

$A=7330.025820498\approx 7330.03$

When compounded quarterly, $n=4$ :

$A=4500(1+\frac{0.05}{4})^{4\cdot 10}$

$A=4500(1.0125)^{40}$

$A=4500(1.6436194634870132)$

$A=7396.28758569\approx 7396.29$

When compounded monthly, $n=12$ :

$A=4500(1+\frac{0.05}{12})^{12\cdot 10}$

$A=4500(1.00416666)^{120}$

$A=4500(1.64700949769)$

$A=7411.542739605\approx 7411.54$

When compounded daily, $n=365$ :

$A=4500(1+\frac{0.05}{365})^{365\cdot 10}$

$A=4500(1.0001369863013699)^{3650}$

$A=4500(1.6486648137656943695)$

$A=7418.9916619456\approx 7419.00$

Since amount earned will be maximum, when interest is compounded daily, therefore, Darren should use compounded daily interest rate.

3 0

3 years ago

3 ( x + 7 ) < 7 ( x + 2 )

Gre4nikov [31]

3(x+7)<7(x+2)

Inequality Form: x>7/4
Interval Notation: (7/4, infinity)

5 0

3 years ago

maric is out shopping and finds a 71.00 basketball that is marked down 10% how much will be taken off the price in dallors?

Bumek [7]

Answer: 63 dollars and 9 cents

Step-by-step explanation:to find percentages take the original number and multiply it by the percent as such- 71 x .10 this will equal the percent of the number then minus this from the original number.

5 0

4 years ago

Help please please help help please help!!!

Brilliant_brown [7]

Answer:

standard

Step-by-step explanation:

4 0

4 years ago

The rule (x, y) → (-X, -y) maps A RST to A R'S'T',

xxTIMURxx [149]

Answer:

Step-by-step explanation:

These triangles are first off congruent, because the only value that is changing, is the negative sign in front.

This negative sign means that the triangle is being rotated to a different quadrant of the graph, so the answer is A.

8 0

3 years ago