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3 years ago

Seven trophies will be displayed on the top shelf of a cabinet. In how many different ways can they be arranged? HELP ASAP!

Mathematics

1 answer:

Phoenix [80]3 years ago

4 0

Answer:

5040

Step-by-step explanation:

Seven trophies can be displayed in the following order:

First( you have seven trophies to choose from), second (you have 6 to choose from, third (you have 5 to choose from),.....seventh (you have 1 to choose from.

Therefore, we need to to 7*6*5*4*3*2*1.

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For the following amount at the given interest rate compounded continuously, find (a) the future value after 9 years, (b) the

Stella [2.4K]

Answer:

(a) The future value after 9 years is $7142.49.

(b) The effective rate is $r_E=4.759 \:{\%}$ .

(c) The time to reach $13,000 is 21.88 years.

Step-by-step explanation:

The definition of Continuous Compounding is

If a deposit of $P$ dollars is invested at a rate of interest $r$ compounded continuously for $t$ years, the compound amount is

$A=Pe^{rt}$

(a) From the information given

$P=4700$

$r=4.65\%=\frac{4.65}{100} =0.0465$

$t=9 \:years$

Applying the above formula we get that

$A=4700e^{0.0465\cdot 9}\\A=7142.49$

The future value after 9 years is $7142.49.

(b) The effective rate is given by

$r_E=e^r-1$

Therefore,

$r_E=e^{0.0465}-1=0.04759\\r_E=4.759 \:{\%}$

(c) To find the time to reach $13,000, we must solve the equation

$13000=4700e^{0.0465\cdot t}$

$4700e^{0.0465t}=13000\\\\\frac{4700e^{0.0465t}}{4700}=\frac{13000}{4700}\\\\e^{0.0465t}=\frac{130}{47}\\\\\ln \left(e^{0.0465t}\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t\ln \left(e\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t=\ln \left(\frac{130}{47}\right)\\\\t=\frac{\ln \left(\frac{130}{47}\right)}{0.0465}\approx21.88$

3 0

3 years ago

PLEASE HELP ME IN MATH IM CONFUSED

Butoxors [25]

Answer:

the second choice is correct

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = $\frac{3}{4}$ x - 9 is in this form

with slope m = $\frac{3}{4}$

• Parallel lines have equal slopes, hence

y = $\frac{3}{4}$ x + c ← is the partial equation of the parallel line

To find c substitute (- 8, - 18) into the partial equation

- 18 = - 6 + c ⇒ c = - 18 + 6 = - 12

y = $\frac{3}{4}$ x - 12 ← equation of parallel line

4 0

3 years ago

What is a conversion factor that you can use to convert gallon to pints how did you find

ludmilkaskok [199]

Answer: 1 gallon=8 pints

Step-by-step explanation: I used google

8 0

3 years ago

PLEASE HELP ITS EASY MATH

attashe74 [19]

Answer:

Step-by-step explanation:

Acc to question, the workers have installed 240 chairs in 4 days which equals 60 chairs in 1 day.

So the will require 600 /60 =10 days from the start.

8 0

2 years ago

T/F I can take the square root of a negative number

Anvisha [2.4K]

1). F
2). T
3). F
4). F
5). F

Bet you learned a lot from this answer !

6 0

3 years ago