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My name is Ann [436]
3 years ago
11

The relationship between women's whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length

in inches that corresponds to a shoe size of a n. A women's size 7 fits a foot 9 1/3 inches long, ands women's size 12 fits a foot 11 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary. an=-17.91 +2.99(n-1), an=-5+2.99(n-1), an=7+0.33(n-1) , an=7.35+ 0.33(n-1)
Mathematics
2 answers:
Oksana_A [137]3 years ago
8 0

Answer:

an=7.35+ 0.33(n-1)

Step-by-step explanation:

The relationship between women's whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of  n.

We are given values for n=7 and n=12 as a7=9.33 and a12=11

So, we proceed from the options and check which an satisfies these values:

an = 7.35 + 0.33(n-1)

when n = 7:

an = 7.35 + 0.33 (7-1)

an = 9.33

when n = 12:

an = 7.35 + 0.33 (12-1)

an = 10.98≈11

Hence, correct option is:

an=7.35+ 0.33(n-1)

dem82 [27]3 years ago
5 0

Answer:

D

Step-by-step explanation:

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3 years ago
A family owns two businesses that made a combined profit of $$$10 million in the previous financial year, with business B making
Archy [21]

Answer:

The equation to find the profit made by business combined is x+4x = 10.

Business A made $2 million profit and Business B made $8 million profit.

Step-by-step explanation:

Given:

Profit made in previous financial year = $10 million

We need to write an equation to find the profit made by the business.

Solution:

Let the profit (in millions) made by  business A be 'x'.

Let the profit (in millions) made by  business B be 'y'.

Now given:

business B making 4 times as much profit as business A.

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y =4x

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Profit made in previous financial year is equal to sum of profit (in millions) made by  business A and profit (in millions) made by  business B.

framing in equation form we get;

x+y =10\ million

Substituting the value of y in above equation we get;

x+4x = 10

Hence The equation to find the profit made by business combined is x+4x = 10.

On Solving above equation we get;

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8 0
3 years ago
:))))))))))))))))))))))))))))ty
goldenfox [79]

Answer:

I/rt =P

Step-by-step explanation:

to get ride of the r and t u need to divide

divide by rt

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8 0
2 years ago
7900 dollars is placed in an account with an annual interest rate of 5.5%. How much will be in the account after 11 years?
My name is Ann [436]

Answer:

\$12,679.50

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=11\ years\\ P=\$7,900\\ A=?\\r=5.5\%=5.5/100=0.055

substitute in the formula above

A=7,900(1+0.055*11)

A=7,900(1.605)

A=\$12,679.50

6 0
2 years ago
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