Ask question

Ask question

All categories

3 years ago

10

Mr. Trager has $500.00 to spend at a bicycle store. All prices listed below include tax. . He buys a new bicycle for $273.98. .

He buys 3 bicycle reflectors for $7.23 each and 1 bicycle helmet for $42.36. . He plans to use the remaining money to buy new cycling outfits for $78.12

1 answer:

Anon25 [30]3 years ago

3 0

Answer:

2 outfits

Step-by-step explanation:

first you have the total amount of money he has.

next subtract the amount of money he spends on the new bicycle

500-273.98=226.02

next find the total cost of the 3 bicycle reflectors

7.23 times 3 = 21.69

Subtract that total from the remaining amount of money left

226.02 - 21.69 = 204.33

Then subtract the helmet from the remaining money

204.33 - 42.36 = 161.97

now divide the remaining money by 78.12 to find out how many outfits he can buy

161.97 / 78.12 = around 2.07

So the answer is he can only buy 2 outfits with the remaining money

(you can not buy 2.07 outfits)

hope this helps and was what you were looking for

You might be interested in

A pizzeria charged 12 per pizza plus an addition $3.00 for delivery which equation represents the cost of having any number of p

Liula [17]

Y=12x+3

y: total cost
x: number of pizzas

3 0

3 years ago

John, Sally, and Natalie would all like to save some money. John decides that it

brilliants [131]

Answer:

Part 1) John’s situation is modeled by a linear equation (see the explanation)

Part 2) $y=100x+300$

Part 3) $\$12,300$

Part 4) $\$2,700$

Part 5) Is a exponential growth function

Part 6) $A=6,000(1.07)^{t}$

Part 7) $\$11,802.91$

Part 8) $\$6,869.40$

Part 9) Is a exponential growth function

Part 10) $A=5,000(e)^{0.10t}$ or $A=5,000(1.1052)^{t}$

Part 11) $\$13,591.41$

Part 12) $\$6,107.01$

Part 13) Natalie has the most money after 10 years

Part 14) Sally has the most money after 2 years

Step-by-step explanation:

Part 1) What type of equation models John’s situation?

Let

y ----> the total money saved in a jar

x ---> the time in months

The linear equation in slope intercept form

y=mx+b

The slope is equal to

$m=\$100\ per\ month$

The y-intercept or initial value is

$b=\$300$

so

$y=100x+300$

therefore

John’s situation is modeled by a linear equation

Part 2) Write the model equation for John’s situation

see part 1)

Part 3) How much money will John have after 10 years?

Remember that

1 year is equal to 12 months

so

$10\ years=10(12)=120 months$

For x=120 months

substitute in the linear equation

$y=100(120)+300=\$12,300$

Part 4) How much money will John have after 2 years?

Remember that

1 year is equal to 12 months

so

$2\ years=2(12)=24\ months$

For x=24 months

substitute in the linear equation

$y=100(24)+300=\$2,700$

Part 5) What type of exponential model is Sally’s situation?

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

in this problem we have

$P=\$6,000\\ r=7\%=0.07\\n=1$

substitute in the formula above

$A=6,000(1+\frac{0.07}{1})^{1*t}\\ A=6,000(1.07)^{t}$

therefore

Is a exponential growth function

Part 6) Write the model equation for Sally’s situation

see the Part 5)

Part 7) How much money will Sally have after 10 years?

For t=10 years

substitute the value of t in the exponential growth function

$A=6,000(1.07)^{10}=\$11,802.91$

Part 8) How much money will Sally have after 2 years?

For t=2 years

substitute the value of t in the exponential growth function

$A=6,000(1.07)^{2}=\$6,869.40$

Part 9) What type of exponential model is Natalie’s situation?

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

$P=\$5,000\\r=10\%=0.10$

substitute in the formula above

$A=5,000(e)^{0.10t}$

Applying property of exponents

$A=5,000(1.1052)^{t}$

therefore

Is a exponential growth function

Part 10) Write the model equation for Natalie’s situation

$A=5,000(e)^{0.10t}$ or $A=5,000(1.1052)^{t}$

see Part 9)

Part 11) How much money will Natalie have after 10 years?

For t=10 years

substitute

$A=5,000(e)^{0.10*10}=\$13,591.41$

Part 12) How much money will Natalie have after 2 years?

For t=2 years

substitute

$A=5,000(e)^{0.10*2}=\$6,107.01$

Part 13) Who will have the most money after 10 years?

Compare the final investment after 10 years of John, Sally, and Natalie

Natalie has the most money after 10 years

Part 14) Who will have the most money after 2 years?

Compare the final investment after 2 years of John, Sally, and Natalie

Sally has the most money after 2 years

3 0

3 years ago

What is another way to write the calculation add 16 and 25, and then multiply by 47?

GarryVolchara [31]

Answer:

(16+25)×47

Step-by-step explanation:

..........

8 0

2 years ago

Read 2 more answers

If T equals 1 / r + 1 / s equals r + S over RS, then what is 1 / T in terms of R&S?

Thepotemich [5.8K]

$T=\dfrac{1}{r}+\dfrac{1}{s}\\\\T=\dfrac{1\cdot s}{r\cdor s}+\dfrac{1\cdot r}{r\cdot s}\\\\T=\dfrac{s}{rs}+\dfrac{r}{rs}\\\\T=\dfrac{s+r}{rs}\to\dfrac{1}{T}=\dfrac{rs}{s+r}$

7 0

3 years ago

Find the area of the following figure:

RoseWind [281]

The area of the figure is 11. 27 cm²

<h3>How to find the area</h3>

The figure given is a parallelogram

Note that the formula for area of a parallelogram is given as;

Area = base × height

Base = 2. 3cm

height = 4. 9cm

Area = 2. 3 × 4. 9

Area = 11. 27 cm²

Thus, the area of the figure is 11. 27 cm²

Learn more about a parallelogram here:

brainly.com/question/970600

#SPJ1

6 0

2 years ago