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2 years ago

Buffy is purchasing a decorative ribbon in sections that each measure

Mathematics

1 answer:

Anestetic [448]2 years ago

6 0

So 2.5ft=$2.72
200/2.5=80 so she needs 80 sections
80*2.72=217.6
She will need to save $217.60

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Sarah Wiggum would like to make a single investment and have $1.7 million at the time of her retirement in 34 years. She has

vovangra [49]

Answer:

Sarah has to invest $502,958.58 today.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$

In this question:

$t = 35, I = 0.07, T = 1700000$

She has to invest P today.

$T = E + P$

$1700000 = E + P$

$E = 1700000 - P$

$E = P*I*t$

$1700000 - P = P*0.07*34$

$3.38P = 1700000$

$P = \frac{1700000}{3.38}$

$P = 502958.58$

Sarah has to invest $502,958.58 today.

8 0

2 years ago

The height H of a skydiver t seconds after jumping. Let T be the independent variable, and assume the skydiver jumps from a heig

Rina8888 [55]

Answer:

25 seconds

Step-by-step explanation:

Skydiving.

height (in feet) above the earth=h(t)= -16t^2 + 10,000

the time it would take to fall when h is 0

-16t^2 + 10,000=0

-16t^2=-10000

16t^2=10000

t^2=10000/16=625

t=sqrt 625=25 seconds

6 0

2 years ago

A boat can travel 21mph in still water. If it travels 270 miles with the current in the same length of time it travels 108 miles

erica [24]

Answer: the speed of the current is 9 mph.

Step-by-step explanation:

Let x represent the speed of the current.

A boat can travel 21 mph in still water. If it travels 270 miles with the current. It means that the total speed with which the boat travelled with the current is (21 + x) mph.

Time = distance/speed

Time spent by the boat in travelling 270 miles is

270/(21 + x)

In the same length of time, it travels 108 miles against the current. It means that the total speed with which the boat travelled against the current is (21 - x) mph.

Time = distance/speed

Time spent by the boat in travelling 108 miles is

108/(21 - x)

Since the time is the same, then

270/(21 + x) = 108/(21 - x)

270(21 - x) = 108(21 + x)

5670 - 270x = 2268 - 108x

108x + 270x = 5670 - 2268

378x = 3402

x = 3402/378

x = 9

7 0

2 years ago

A middle school band has 45 sixth and seventh graders The ratio of sixth to seventh graders is 2 to 3 how many sixth graders are

AnnyKZ [126]

Answer:

Step-by-step explanation:

There are 2+3 = 5 ratio units representing 45 band members, so each ratio unit represents 45/5 = 9 band members.

The 2 ratio units of sixth graders represent 2×9 = 18 sixth grade band members.

5 0

3 years ago

7x-2y=16 11x+6y=32.3<br>how to solve this math problem

Aneli [31]

Answer:

Step-by-step explanation:

These types of equations are called simultaneous equations and the method we can use to solve these type of equations is either Substitution, Elimination and Graphing.

We use substitution here because it is easier.

Equation 1

$7x-2y=16$

Equation 2

$11x+6y=32.3$

Lets take equation 1

$7x-2y=16\\7x=16+2y\\x=\frac{16+2y}{7}$

This is our equation 3 , now put it inside equation 2.

$11x+6y=32.3\\11(\frac{16+2y}{7} )+6y=32.3\\\frac{176+22y}{7} +6y=32.3\\\frac{176+22y+42y}{7}=32.3\\176+22y+42y=226.1 \\\\42y+22y=226.1-176\\64y=50.1\\y=\frac{50.1}{64} \\y=0.783\\$

We found the value of y , now to find the value of x insert the value of y in equation 3

$x=\frac{16+2y}{7}\\x=\frac{16+2(0.783)}{7} \\x=\frac{16+1.566}{7}\\x=\frac{17.566}{7}\\x=2.509$

Solved ! See the attached image on both the straight line graphs i have attached for better understanding. Where both the lines intersect each other is our value of (x , y) respectively.

6 0

2 years ago