What is the distributive property to create an equivalent expression to 9x+21

Andrei's grandfather offered to give him a gift at 50% of the amount of money he saved in one year. Andrei saved $120 dollars. H

Dafna1 [17]

Answer:

$60

Step-by-step explanation:

$120/2(half) = $60

3 0

3 years ago

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cylindrical vase holds 8,038.4 cubic centimeters of water. The height of the vase is 40 centimeters. What is the length of the r

iragen [17]

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

Step-by-step explanation:

The given is,

Volume of cylindrical vase = 8038.4 cubic centimeters

Height of the cylindrical vase = 40 centimeters

Step:1

Formula for volume of cylindrical vase,

$Volume, V=\pi r^{2} h$ ......................(1)

Where, r - Radius of cylindrical vase

h - Height of cylindrical vase

From the given,

V = 8038.4 cubic centimeters

h = 40 centimeters

Equation (1) becomes,

8038.4 $= \pi r^{2} 40$

$=(3.14)(40)r^{2}$ (∵ $\pi$ = 3.14 )

$8038.4 = 125.6 r^{2}$

$r^{2} = \frac{8038.4}{125.6}$

$r =\sqrt{64}$

r = 8 centimeters

Result:

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

7 0

3 years ago

If Tanisha has $nbsp 100 100 to invest at 66% per annum compounded semiannuallysemiannually, how long will it be before she h

Oxana [17]

Answer:

time is 6.76 years

Step-by-step explanation:

given data

amount = $150

payment = $100

rate r = 6% = 0.06

to find out

time period t

solution

we know it is compounding continuous

so we will apply here formula that is

amount = payment × $e^{rt}$ ..........1

put here all value we get

amount = payment × $e^{rt}$

150 = 100 × $e^{0.06t}$

take ln both side

ln 1.5 = $e^{0.06t}$

0.40546 = 0.06t

t = 0.40546 / 0.06

t = 6.76

so time is 6.76 years

7 0

3 years ago

A new drug claims to reduce the number of migraines an individual suffers. In a study on the effectiveness of the new drug, 50 s

lana66690 [7]

Answer:

I got A on edg

Step-by-step explanation:

8 0

3 years ago

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The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 10t3 + 28t2 – 24t, where t i

vekshin1

In this question, the profit of the restaurant after t months is given by a polynomial function. To find when it begins to show a profit, we find the numerical values of the function for t, and it shows a profit when $t > 0$