3 years ago

What is the y-intercept of the graph of this function?

Mathematics

1 answer:

ella [17]3 years ago

4 0

Answer:

good question

Step-by-step explanation:

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The center of a circle is at (−5, 2) and its radius is 7. What is the equation of the circle?

Rainbow [258]

Answer:

(X+5)^2 + (Y-2)^2 =49

Step-by-step explanation:

Equation of the circle

(X-a)^2+(Y-b)^2= r^2

Center=(-5 ; 2) , so : a= -5 y b=2

y r=7

4 0

3 years ago

Which choices are equivalent to the expression below? Check all that apply

Iteru [2.4K]

Answer:

Step-by-step explanation:

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3 years ago

Help would be more then appreciated

BartSMP [9]

Answer:

Step-by-step explanation:

8 0

3 years ago

At the end of 2 years, P dollars invested at an interest rate r compounded annually increases to an amount, A dollars, given

Valentin [98]

Answer:

40%.

Step-by-step explanation:

We have been given that an amount of $100 compounded annually is increased to $196 in 2 years. We are asked to find the interest rate.

We will use compound interest formula to solve our given problem.

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

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

Upon substituting our given values in above formula, we will get:

$196=100(1+\frac{r}{1})^{1*2}$

$196=100(1+r)^{2}$

$\frac{196}{100}=\frac{100(1+r)^{2}}{100}\\\\1.96=(1+r)^2$

$(1+r)^2=1.96$

Take positive square root of both sides:

$\sqrt{(1+r)^2}=\sqrt{1.96}$

$1+r=1.4\\\\1-1+r=1.4-1\\\\r=0.4$

Since interest rate is in decimal, form, so we will convert it into percentage as:

$0.4\times 100\%=40\%$

Therefore, the interest rate was 40%.

5 0

3 years ago

What is the surface area of the figure?

podryga [215]

Upper + Lower surface area= 2(12*12-36)=216cm^2
Side surface area=6*4*4=96+12*4*2=192
Total surface area= 216+192=408cm^2

4 0

3 years ago