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3 years ago

contractors Paving 1 mile 201.25 yards of a country road how long is the portion of the road in feet and inches

Mathematics

1 answer:

grin007 [14]3 years ago

7 0

Answer:

1 mile 201.25 yard = 5898 foot 9 inches

Step-by-step explanation:

We have given that the contractor paving 1 mile 201.25 yards

We have to change this into feet and inches

We know that 1 mile = 1765 yard

So 1 mile 201.25 yard = 1765+201.25 = 1966.25 yard

Now we know that 1 yard = 3 foot

So 1966 yard = 1966×3 = 5898 foot

And 1 yard = 36 inches

So 0.25 yard = 0.25×36 = 9 inches

So 1 mile 201.25 yard = 5898 foot 9 inches

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The function f(x) = (x - 4)(x - 2) is shown.

Kay [80]

Answer:

all real numbers greater can or equal to -1

Step-by-step explanation:

Given the function: f(x) = (x - 4)(x - 2)

=> its root: x =4 and x = 2

We convert the factored form into standard form: f(x) = $x^{2} -6x + 8$

As can be seen, the parameter a in the function is positive => the graph of it open up over its domain.

and then we convert the factored form into vertex form: f(x) = $(x-3)^{2}$ - 1

<=> when x =3 we have f(x) =1 and f(x) =-1 is the lowest point of the function

=> the range of the function: all real numbers greater can or equal to -1

Hope it will find you well.

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3 years ago

The community Relief Charity Group is earning 2.5% simple interest on the $2200 it invested in a savings account. It also earns

Over [174]

Answer:

$5,500 was invested in the insured bond fund

Step-by-step explanation:

First, let us calculate the interest earned on savings account

Simple interest = principal × rate × time

where:

principal = $2,200

rate = 2.5% = 2.5/100 = 0.025

time = 1 year

∴ simple interest = 2200 × 0.025 × 1 = $55

Total annual interest earned = interest earned from savings account + interests earned on insured bond fund = $308

∴ 308 = 55 + interests earned on insured bond fund

∴ interests earned on insured bond fund = 308 - 55 = $253

Finally, we know the simple interest earned on insured bond fund, the amount invested (principal) is calculated as follows:

simple interest = principal × rate × time

where:

simple interest = $253

rate = 4.6% = 0.046

time = 1 year

∴ 253 = principal × 0.046 × 1

253 = principal × 0.046

∴principal = 253 ÷ 0.046 = 5500

Therefore $5,500 was invested in the insured bond fund

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Yes, Absolute value is the magnitude of a number irrespective of its sign.

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