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2 years ago

Emily and Lily are reading the same copy of the same book for a summer reading assignment.

Mathematics

1 answer:

AnnyKZ [126]2 years ago

7 0

Answer:

Step-by-step explanation:

emily : 16 + 22x....with x being the number of days

Lily : 24 + 18x

16 + 22x = 24 + 18x

22x - 18x = 24 - 16

4x = 8

x = 8/4

x = 2 <==== they will be on the same page in 2 days

16 + 22x = 16 + 22(2) = 16 + 44 = 60

24 + 18x = 24 + 18(2) = 24 + 36 = 60

and they will both be on page 60 <===

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Jackson travels 2 km north, then 3 km east, and finally 2 km south. Which

jonny [76]

D none of the above
Jackson is 3 km east of where he started

8 0

2 years ago

Natalia bought 888 glitter wands for \$50$50dollar sign, 50. Determine whether or not each wand purchase below has the same pric

schepotkina [342]

Answer:

Each wand cost $0.056 which is below $50

Step-by-step explanation:

She bought 888 glitter wands for $50. This implies that each wand would cost:

$50/888 = $0.056

Each wand cost $0.056 which is far below the cost for glitter wands

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2 years ago

Read 2 more answers

A bank account earned 3.5% continuously compounded annual interest. After the initial deposit, no deposits or withdrawals were m

aalyn [17]

This question is incomplete. Below is the complete question:

A bank account earned 3.5% continuously compounded annual interest. After the initial deposit, no deposits or withdrawals were made. At the end of an 8 year period, the balance in the account was $13231.30. what is the amount of the initial deposit?

Answer: The initial deposit is $10,001

Step-by-step explanation:

To solve this we need to utilize the continuous compounding interest formula:-

Fv = Pv × e^(i × t)

Where, Fv = the future value

Pv = present value

i = the interest rate

t = the time in years

e = a mathematical constant that is usually approximated by 2.7183

In this case, the Fv = 13,231.30

i = 3.5% or 0.035

t = 8 years

e = 2.7183

Pv = ? (The unknown variable).

13,231.30 = Pv × [2.7183^(0.035 × 8)]

13,231.30 = Pv × [2.7183^(0.28)]

13,231.30 = Pv × 1.323

Pv = 13,231.30/1.323

Pv = $10000.98

= $10,001

Therefore the initial deposit is $10,001

8 0

2 years ago

Which expression is equivalent to StartFraction 3 x Over x + 1 EndFractiondivided by x + 1?

8_murik_8 [283]

Answer:

Step-by-step explanation:

All those words! Just use math.

$\frac{3x/(x+1)}{x+1} = \frac{3x}{(x+1)^2}$

5 0

2 years ago

A prism with a base area of 5 ft² and a height of 10 ft is dilated by a factor of 6/5 .

Keith_Richards [23]

First we need to find the volume of the prism without the dilated factor:

The volume would be:
Volume of the prism(without dilated) = (area of the base) * (height)
Since,
Area of base = 5 $ft^{2}$
Height of the prism = 10f

Volume(without dilated) = 5*10 = 50 $ft^{3}$

Now let us apply the dilated factor! For that you need to multiply for factor with the volume of the prism without dilation.

Volume of the dilated prism = $d^{3}$ * (Volume of the prism without dilation)

Where d = dilated factor. Therefore,

$v = (\frac{6}{5} )^{3} * 50$

v = 86.4 $ft^{3}$

So the correct answer: 86.4 $ft^{3}$

6 0

2 years ago