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2 years ago

What is the best measurement to eastimate the volume of a juice box

1 answer:

7 0

1 : you would use a graduated cylinder . 2 : , you would use a yard stick or maybe a ruler if you are not able to find one. You can also use a meter stick.

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The area of a rectangle is 504 square meters. If the perimeter is 90 meters, find the length and width of the rectangle.

o-na [289]

Answer:

Length =24m and width = 21m

Step-by-step explanation:

Given,

Area of rectangle, A = 504 m^2

Perimeter of rectangle, P = 90 m

Since we know, A = Length * width and P = 2(Length + width)

So, A = L * w

=> 504 = L*w ------------------(1)

And P = 2(L + w)

=> 90 =2( L + w) ----------------(2)

Plug L =504/w in equation 2

i.e. 90 = 2( 504/w + w)

or 45 = 504/w + w

or 45 = (504 + w^2 ) / w

or 45w = 504 + w^2

or w^2 - 45w + 504 = 0

On solving above quadratic equation we get:

w = 21 or 24

So we take width , w= 21 meter

Then length will be, L =504/21 =24 meter

Hence length and width of rectangle are 24m and 21m respectively.

5 0

3 years ago

Which is a better deal on a $10 item:

liberstina [14]

50% off. You only have to pay $5. If you do 10% off one time you have to pay $9 and then the next time you get 40% off, you’d have to pay $6.

Unless I completely misunderstood, 50% should be better. If it’s 40% off + 10% then it will be 50% and therefore both of them are equal deals and both good.

6 0

2 years ago

Suppose that $4000 is placed in a savings account at an annual rate of 6.4%, compounded quarterly. Assuming that no withdrawals

s2008m [1.1K]

Answer:

3.25 years (nearest hundredth)

Step-by-step explanation:

Compound Interest Formula

$\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}$

where:

A = final amount
P = principal amount
r = interest rate (in decimal form)
n = number of times interest applied per time period
t = number of time periods elapsed

Given:

A = $4916
P = $4000
r = 6.4% = 0.064
n = 4 (quarterly)

Substitute the given values into the formula and solve for t:

$\implies \sf 4916=4000\left(1+\frac{0.064}{4}\right)^{4t}$

$\implies \sf 4916=4000\left(1.016\right)^{4t}$

$\implies \sf \dfrac{4916}{4000}=\left(1.016\right)^{4t}$

$\implies \sf \dfrac{1229}{1000}=\left(1.016\right)^{4t}$

$\implies \sf \ln \left(\dfrac{1229}{1000}\right)=\ln \left(1.016\right)^{4t}$

$\implies \sf \ln \left(\dfrac{1229}{1000}\right)=4t \ln \left(1.016\right)$

$\implies \sf t=\dfrac{\ln \left(\frac{1229}{1000}\right)}{4\ln \left(1.016\right)}$

$\implies \sf t=3.247594892...$

Therefore, it will take 3.25 years (nearest hundredth) for the account to grow to $4916.

Learn more about compound interest here:

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brainly.com/question/27806277

8 0

1 year ago

What transformations are applied to the graph of the function f(x)=10^x to produce the function g(x)=3(10)^x-2

tatiyna

Answer:

D) A vertical dilation by a factor of 3 and a vertical shift down 2 units

Step-by-step explanation:

Given

f(x)=10^x
g(x)=3(10)^x - 2

We see that:

g(x) = 3f(x) - 2

This is a vertical stretch by a factor of 3 and translation down 2 units

Correct choice is D

7 0

3 years ago

Which of the following is the beginning of an arithmetic sequence?

ruslelena [56]

Answer:

b. 22, 28, 34, 40

Step-by-step explanation:

This is the only sequence with a common difference, hence the only arithmetic sequence: 22, 28, 34, 40 (common difference of 6).

___

When adjacent terms of the sequence have the same difference, the sequence is arithmetic. When adjacent terms have the same ratio, the sequence is geometric. (Only a non-zero constant sequence will be both.)

6 0

3 years ago