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3 years ago

Find the length of side x.

Mathematics

1 answer:

Nata [24]3 years ago

5 0

Answer:

i think it is 61

Step-by-step explanation:

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$8000 principal earning 5% compounded annually, after 6 years

Verdich [7]

Future amount after 6 years will be: $10720.76

Step-by-step explanation:

Principal = $8000

Interest= 5% compounded annually

Time = 6 years

We need to find A (future amount)

The formula used is:

$A=P(1+\frac{r}{n})^{nt}$

A= Future amount

P= Principal amount

r= interest rate

n= no of times interest is applied

t= time

Putting values and finding A

P=8000. r=0.05, n=1, t=6

$A=P(1+\frac{r}{n})^{nt}\\A=8000(1+\frac{0.05}{1})^{1*6}\\ A=8000(1+0.05)^{6}\\ A=8000(1.05)^{6}\\A=10720.76$

So, Future amount after 6 years will be: $10720.76

Keywords: Compound Interest

Learn more about Compound Interest at:

#learnwithBrainly

8 0

3 years ago

Sarah is building a 10-foot-long pen for her pet rabbits. She wants to make gravel bases for two circular food containers

TEA [102]

Answer:

y ≥ 4x

y ≤ 8.75 –1/2πx^2

Step-by-step explanation:

Because the diameters of the gravel bases added together cannot exceed the width of the pen, we get the inequality 2x + 2x ≤ y . Rewriting, we get y ≥ 4x as the first inequality in the system.

Next, write an inequality for cost.

To write the expression for the cost of the fencing, find the perimeter of the rectangle, and multiply the perimeter by the cost per foot of fencing. The pen is a rectangle, so the perimeter is 2(10) + 2(y), or 20 + 2y. Multiply the cost of the fencing material ($4.00 per foot) by the perimeter of the fence to get 4(20 + 2y).

Now, write an expression for the gravel bases for the circular food containers. Because A = r2 and the cost of the gravel is $2.00 per square foot, multiply the cost of the material by the sum of these areas to get 2(x2) + 2(x2).

The total cost must be less than or equal to $150. So, we can say that 4(20 + 2y) + 2(x2) + 2(x2) ≤ 150. After simplifying and solving for y: y ≤ 8.75 – x2.

So, this is the system:

y ≥ 4x

y ≤ 8.75 –1/2πx^2

7 0

3 years ago

If ab = 9 and a² + b² = 81, then (a+b)² = ?

Andre45 [30]

Answer:

Step-by-step explanation:

Through some clever algebra, we can combine our first two equations using the fact that

$(a+b)^2=a^2+2ab+b^2$

We have the a² and the b² in the equation $a^2+b^2=81$ , and we <em>almost </em>have a 2ab in the equation $ab=9$ . To get that 2ab, we can simply double both sides of the first equation to get $2ab=18$ . From there, we'll add the first two equations together, giving us the summed equation