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Serga [27]
2 years ago
9

Elena bikes 20 minutes each day for exercise. Write an equation to describe the relationship between her distance in miles, D, a

nd her biking speed, in miles per hour, when she bikes: at a constant speed of 13 miles per hour for the entire 20 minutes
Mathematics
1 answer:
nika2105 [10]2 years ago
6 0

Answer:

<h2>D= 3.9 miles</h2>

Step-by-step explanation:

Given data

speed v= 13 miles per hour

time taken t= 20min to hour 0.3 hours

the distance D

We know that the relationship between speed, time, and distance

speed=distance/time

13=D/0.3

(the expression above describes the relationship between  distance, speed, and time)

making D subject of formula we have

D= 0.3*13

D= 3.9 miles

hence the distance is 3.9miles

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Using the midpoint method, find the cross-price elasticity of demand for FedEx and UPS overnight shipping if the price of FedEx
IrinaK [193]

Answer:

Cross price elasticity using midpoint method = 0.56

Step-by-step explanation:

Using the mid-point method

Cross-price Elasticity of Demand = <u>% change in Quantity demanded of UPS</u>

                                                          % change of price of FedEx

%change in Quantity demanded of UPS

using Mid-point method                          = <u> Q2-Q1           </u>  × 100

                                                                     (Q1+Q2)÷ 2

                                      = <u>1.3-1.2           </u>   × 100

                                        (1.2+1.3)÷2

                                     = <u>0.1      </u> × 100

                                       1.25

                                     = 8%

% change in price of FedEx

using midpoint method    =<u> P2-P1            </u>× 100

                                             (P1+P2)÷ 2

                                          =<u> 75-65           </u>× 100

                                            (65+75)÷2

                                          =<u> 10  </u>   × 100

                                             70

                                          = 14.28%

Cross-price Elasticity of Demand =  8% ÷ 14.28%

using midpoint method                = 0.56

             

6 0
2 years ago
what are the domain and range of f(x) = 4x – 8? domain: {x | x is a real number}; range: {y | y &gt; –8} domain: {x | x is a rea
Serga [27]

Answer : domain: {x | x is a real number}; range: {y | y >- 8}

the domain and range of f(x) = 4^x – 8

For exponential function , there is no restriction for x

So domain is all real numbers

For exponential function , f(x) = a^x + b

The range is y > b

The range of f(x) = 4^x -8 is y> -8

domain: {x | x is a real number}; range: {y | y > –8}

3 0
2 years ago
Read 2 more answers
A sewing club is making a quilt consisting of 25 squares with each side of the square measuring 30 centimeters. If the quilt has
Sedbober [7]
First, you must find an equation. You would first find the length of 1 square, and then multiply it by how many rows. Then on the side, you would find the width on one square, and then multiply it by how many columns. Once you find you total length and width, find the perimeter of the whole quilt! Let me know if there is any questions! <span />
5 0
2 years ago
How much money, as a one-time deposit, PV, would you need to deposit into an account that earns 1.5% compounded monthly to earn
Karolina [17]

Answer:

The amount needed as a one-time deposit to earn $7,500 in 3 years is <em>$4388.17</em>

Step-by-step explanation:

<u>Basic Finance Formulas </u>

One of the most-used formulas to compute present and future values is

FV=PV(1+r)^{n}

Where FV is the future value, PV is the present value, r is the interest rate and n is the number of periods. It's vital to keep in mind that r and n must be referred to the same compounded time, e.g. r is compounded monthly and n is expressed in months

The question requires to compute the PV needed as a one-time deposit to earn a future value of $7,500 in 3 years at a 1.5% rate compounded monthly.

FV=7,500

r=1.5%=0.015

n=3*12=36 months

We converted n to months because r is compounded monthly . The formula

FV=PV(1+r)^{n}

must be managed to make PV isolated

PV=FV(1+r)^{-n}

PV=7,500(1+0.015)^{-36}

PV=\$4388.17

Answer: The amount needed as a one-time deposit to earn $7,500 in 3 years is $4388.17

3 0
2 years ago
arun had 50 rupees if he had spent 3 by 5 of his money on an alarm clock how much money is he left with him
Snowcat [4.5K]

Answer:

total money=rupees 50

3/5 of 50= rupees 30

money he spent = rupees 30

money he's left with =50-30=20

<em>mark this as brainliest!!!!</em>

<em>pls</em><em> </em><em>follow</em><em> </em><em>me</em><em>!</em><em>!</em>

4 0
2 years ago
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