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katrin2010 [14]

3 years ago

11

You are on vacation in New York City, and you need to get around town to different locations. Below are the rates for 2 differen

t cab companies, locally dubbed "The Red Cabs" and "The Green Cabs".
What is the cost to get into a Red Cab?
How much does it cost per mile for a Red Cab?
What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Red Cab?

2 answers:

Ganezh [65]3 years ago

7 0

Answer:

Step by Step Explanatior :

sukhopar [10]3 years ago

6 0

I got you Brodie so this and that and i always need help me with homework like me home school and mi questions me what to do

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Determine the time necessary for P dollars to double when it is invested at interest rate r compounded annually, monthly, daily,

Rudik [331]

Answer:

Part 1) 8.17 years

Part 2) 4.98 years

Part 3) 4.95 years

Part 4) 4.95 years

Step-by-step explanation:

we know that

The compound interest formula is equal to

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

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

Part 1) Determine the time necessary for P dollars to double when it is invested at interest rate r=14% compounded annually

in this problem we have

$t=?\ years\\ P=\$p\\A=\$2p\\r=14\%=14/100=0.14\\n=1$

substitute in the formula above

$2p=p(1+\frac{0.14}{1})^{t}$

$2=(1.14)^{t}$

Apply log both sides

$log(2)=log[(1.14)^{t}]$

$log(2)=(t)log(1.14)$

$t=log(2)/log(1.14)$

$t=8.17\ years$

Part 2) Determine the time necessary for P dollars to double when it is invested at interest rate r=14% compounded monthly

in this problem we have

$t=?\ years\\ P=\$p\\A=\$2p\\r=14\%=14/100=0.14\\n=12$

substitute in the formula above

$2p=p(1+\frac{0.14}{12})^{12t}$

$2=(\frac{12.14}{12})^{12t}$

Apply log both sides

$log(2)=log[(\frac{12.14}{12})^{12t}]$

$log(2)=(12t)log(\frac{12.14}{12})$

$t=log(2)/12log(\frac{12.14}{12})$

$t=4.98\ years$

Part 3) Determine the time necessary for P dollars to double when it is invested at interest rate r=14% compounded daily

in this problem we have

$t=?\ years\\ P=\$p\\A=\$2p\\r=14\%=14/100=0.14\\n=365$

substitute in the formula above

$2p=p(1+\frac{0.14}{365})^{365t}$

$2=(\frac{365.14}{365})^{365t}$

Apply log both sides

$log(2)=log[(\frac{365.14}{365})^{365t}]$

$log(2)=(365t)log(\frac{365.14}{365})$

$t=log(2)/365log(\frac{365.14}{365})$

$t=4.95\ years$

Part 4) Determine the time necessary for P dollars to double when it is invested at interest rate r=14% continuously

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\ P=\$p\\A=\$2p\\r=14\%=14/100=0.14$

substitute in the formula above

$2p=p(e)^{0.14t}$

Simplify

$2=(e)^{0.14t}$

Apply ln both sides

$ln(2)=ln[(e)^{0.14t}]$

$ln(2)=(0.14t)ln(e)$

Remember that ln(e)=1

$ln(2)=(0.14t)$

$t=ln(2)/(0.14)$

$t=4.95\ years$

4 0

3 years ago

Suppose an and bn are series with positive terms and bn is known to be convergent. (a) If an > bn for all n, what can you say

yawa3891 [41]

Answer:

a. i. We cannot say anything about aₙ

ii. we do not know if the terms of aₙ are increasing or decreasing

b. i. aₙ converges by the Comparison Test.

ii. aₙ also converges since bₙ.

Step-by-step explanation:

(a)

i) If aₙ > bₙ for all n, what can you say about aₙ ? Why?

We cannot say anything about an.

ii) Why?

This is because since ∑bₙ converges, ∑aₙ > ∑bₙ, we do not know if the terms of aₙ are increasing or decreasing, so we have no information about it.

(b) If aₙ < bₙ for all n, what can you say about aₙ ? Why?

i) aₙ converges by the Comparison Test.

ii) Why?

This is because since ∑bₙ converges, and ∑aₙ < ∑bₙ, we know that the terms of aₙ are also decreasing and, by the comparison test, aₙ also converges since bₙ.

7 0

3 years ago

Two numbers have a sum of 21, and 3

Oksi-84 [34.3K]

Answer:

Step-by-step explanation: let the first number be x and the second number be y

according to the condition given

x+y=21

3x-y=43

using elimination method

3x+3y=63

3x-y=43

subtacting both the equations

4y=20

y=20/4

y=5

substituting value of y in eq 1

x+5=21

x=21-5

x=16

therefore x=16 and y=5

the two numbers are 16 and 5

4 0

4 years ago

Point R is on line segment QS. Given RS=11 and QS=19, determine the length QR.

never [62]

<h3>Answer: QR is 8 units long</h3>

================================================

Explanation:

R is between Q and S and on segment QS, allowing us to say

QR + RS = QS

because of the segment addition postulate.

-------

Use substitution and solve for QR

QR + RS = QS

QR + 11 = 19

QR = 19 - 11 .... subtracting 11 from both sides

QR = 8

4 0

3 years ago

Help!!!!!!!!!!!!!!!!

valkas [14]

Under box 36x + 9, Drag the following:

A.) 9(4x + 1)
D.) (9 . 4x) + (9 . 1)

Under box 9(4x - 1), Drag the following:
B.) (3 . 12x) - (3 . 3)
C.) 36x - 9

Under box (4 . 9x) + (4 . 2), Drag the following:
E.) 4(9x + 2)
F.) 36x + 8

Hope this helps!

5 0

3 years ago